Answer:
r/p = 2
Step-by-step explanation:
The proportional relationship between the amount of raisins and the amount of peanuts can be expressed as:
r/p = k
where k is the constant of proportionality.
To find an equation with a constant of proportionality greater than 1, we simply need to choose a value of k that is greater than 1. For example, if we choose k = 2, the equation becomes:
r/p = 2
To check that this equation is correct, we can use the original ratio of 4 cups of raisins for every 6 cups of peanuts:
4/6 = 2/3
This confirms that the constant of proportionality is indeed 2, and that the equation for the relationship with a constant of proportionality greater than 1 is:
r/p = 2
Knowledge Check 01
The allowance method of accounting for bad debts has the following advantages over the direct write-off method including: (You may
select more than one answer. Single click the box with the question mark to produce a check mark for a correct answer and
double click the box with the question mark to empty the box for a wrong answer. Any boxes left with a question mark will be
automatically graded as incorrect.)
*Records estimated bad debts expense in the pertod when the related sales are recorded.
Records estimated bad debts expense when the account receivable is determined to be uncollectible.
*Reports accounts receivable on the balance sheet at the estimated amount of cash to be collected
• Reports sales on the income statement at the estimated amount of cash to be collected.
The correct options are - A. In the period in which the corresponding sales are recorded, records the expected bad debt expenditure. and C. Reports accounts receivable at the estimated amount of cash to also be collected on the balance sheet.
Explain the benefits of allowance method:The measure that the company uses to set aside money for its bad debts or uncollectible accounts is known as the allowance method of accounting. This accounting technique reflects the accrual basis.
The key benefit of applying the allowance technique in business is that it enables the company to give interested parties accurate financial reporting. By the allowance approach, the precise account receivable with in balance sheet can be estimated. Also, the management will be able to make decisions about their creditors plus bad debt collection with the use of these trustworthy disclosures. The business can determine the precise number of account heads there in statement of business by conducting a proper examination of its holdings and receivables.Know more about the allowance method
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Correct question:
The allowance method of accounting for bad debts has the following advantages over the direct write-off method including: (You may select more than one answer. ):
A. Records estimated bad debts expense in the period when the related sales are recorded.
B. Records estimated bad debts expense when the account receivable is determined to be uncollectible.
C. Reports accounts receivable on the balance sheet at the estimated amount of cash to be collected
D. Reports sales on the income statement at the estimated amount of cash to be collected
Sasha has $850 into two accounts. Sasha will deposit $450 at 6% simple. She will deposit the rest at 2% compounded annually. Sasha will not make any withdrawals. How much more money will be in her account at 6% simple than at 2% compounded annually after 2 years.
Sasha will deposit $450 at 6% simple interest. The formula for calculating the balance of an account with simple interest is given by A = P(1 + rt), where A is the final amount, P is the initial principal balance, r is the annual interest rate (expressed as a decimal), and t is the time in years.
In this case, the initial principal balance P is $450, the annual interest rate r is 6% or 0.06 as a decimal, and the time t is 2 years. Plugging these values into the formula gives us:
A = 450(1 + 0.06 * 2)
Evaluating this expression gives us a final amount of approximately $477 in the account after two years.
Sasha will deposit the rest of her money ($850 - $450 = $400) at 2% compounded annually. The formula for calculating the balance of an account with annual compounding is given by A = P(1 + r/n)^(nt), where A is the final amount, P is the initial principal balance, r is the annual interest rate (expressed as a decimal), n is the number of times the interest is compounded per unit time (per year in this case), and t is the time in years.
In this case, the initial principal balance P is $400, the annual interest rate r is 2% or 0.02 as a decimal, n is 1 since it’s compounded annually, and the time t is 2 years. Plugging these values into the formula gives us:
A = 400(1 + 0.02/1)^(1 * 2)
Evaluating this expression gives us a final amount of approximately $416.16 in the account after two years.
Therefore, there will be approximately $60.84 more money in Sasha’s account at 6% simple interest than at 2% compounded annually after two years.
What is the narrowest definition of the number -2
Step-by-step explanation:
The narrowest definition of the number -2 is that it is an integer that is less than zero and has an absolute value of 2. In other words, it is the additive inverse of the number 2, and can be written as "-2 = -1 * 2".
If the area of the map of the triangle is 2 square inches. and on the map itself the whole shaded region 1 inch =1/4 square inches; then what is the area of the shaded region in the picture
A.1/2 square inches
B.1/8 square inches
C.8 square inches
D. some other solution
The area of the shaded region on the actual triangle is: 2/16 = 1/8 inches²
So the answer is (B) 1/8 inches².
What is area?The size of a two-dimensional surface or region, such as a floor's surface, a painting's face, or the contours of a piece of land, is measured in terms of area.
It represents the amount of space that is enclosed or occupied by the surface or region under consideration and is typically measured in square units, such as square metres or square feet.
The area of the shaded region on the actual triangle is related to the area of the shaded region on the map by the square of the scale factor. In this case, the scale factor is 1 inch = 1/4 square inches, so the square of the scale factor is:
(1/4)² = 1/16
This means that the area of the shaded region on the actual triangle is 1/16th the area of the shaded region on the map.
The area of the shaded area on the map is 2 inches², matching the area of the triangle on the map, which is 2 inches²
Therefore, the shaded area on the actual triangle has the following area:
2/16 = 1/8 inches².
Therefore, the response is (B) 1/8 inches².
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'If clothes are returned, put them on the rail so
they can be reshelved. The blue rail is the one I
mean.'
Choose the clearest and most concise
restatement.
O 'When returning, put clothes on the blue
rail for reshelving.'
O 'Returned clothes go on the blue rail for
reshelving.'
'To return clothes, put them on the blue
reshelving rail.'
'The blue rail is for returned and reshelved
clothes.'
O 'To reshelve clothes, put them on the blue
rail.'
Gina Wilson unit 9 Transitions I need help on the back page
Part a: translation: (x,y) ---> (x + 1, y - 8); D'(3, -1), E'(8, -2), F'(4, -8), G'(-1, -7).
Part b: reflection : in the x axis :D'(2,-7), E'(7,-6), F'(3,0) and G'(-2,-1).
Explain the term "translation":In geometry, a translation is a transfer that occurs either laterally to the left or right as well as vertically up or down.
It may also consist of a mix of the two. Instead, you should evaluate the coordinates of the important locations in the first and second figures if you need must describe a translation. The number of units that have been moved horizontally, vertically, and in which directions are noted verbally.
Given that:
Parallelogram DEFG withvertices D(2,7), E(7,6), F(3,0) and G(-2,1).Part a: translation: (x,y) ---> (x + 1, y - 8)
D(2,7) -> D'(2 + 1, 7 - 8) = D'(3, -1)
E(7,6) -> E'(7+ 1,6- 8) = E'(8, -2)
F(3,0) -> F'(3+ 1,0- 8) = F'(4, -8)
G(-2,1) -> G'(-2+ 1,1- 8) = G'(-1, -7)
Thus, the coordinates of D'E'F'G' - D'(3, -1), E'(8, -2), F'(4, -8), G'(-1, -7).
Part b: reflection : in the x axis
vertices D(2,7), E(7,6), F(3,0) and G(-2,1).
value of x will remain same, but y get negative.
(x,y) -- (x, -y)
D'(2,-7), E'(7,-6), F'(3,0) and G'(-2,-1).
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Correct question:
Parallelogram DEFG with vertices D(2,7), E(7,6), F(3,0) and G(-2,1):
a: translation: (x,y) ---> (x + 1, y - 8)
b: reflection : in the x axis
QUICKLY HELP ME! Trigonometry
The value of tan (2∅) in the right triangle is - 960 / 644.
How to find the angles of a right triangle?A right angle triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.
Therefore, the triangle is a right angle triangle because it follows the Pythagoras's principle as follows:
c² = a² + b²
where
c = hypotenusea and b are the other legsTherefore,
15² + 8² = 17²
Let's find ∅ using trigonometric ratios,
tan ∅ = opposite / adjacent
tan ∅ = 15 / 8
Therefore,
tan 2∅ = 2 tan ∅ / 1 - tan² ∅
tan 2∅ = 30 / 8 ÷ 1 - (15 / 8)²
tan 2∅ = 30 / 8 ÷ 1 - 225 / 64
tan 2∅ = 15 / 4 ÷ 64 - 225/ 64
tan 2∅ = 15 / 4 ÷ -161 / 64
tan 2∅ = 15 / 4 × 64 / -161
tan 2∅ = - 960 / 644
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The value of tan (2∅) in the right triangle is - 960 / 644.
How to find the angles of a right triangle?A right angle triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.
Therefore, the triangle is a right angle triangle because it follows the Pythagoras's principle as follows:
c² = a² + b²
where
c = hypotenusea and b are the other legsTherefore,
15² + 8² = 17²
Let's find ∅ using trigonometric ratios,
tan ∅ = opposite / adjacent
tan ∅ = 15 / 8
Therefore,
tan 2∅ = 2 tan ∅ / 1 - tan² ∅
tan 2∅ = 30 / 8 ÷ 1 - (15 / 8)²
tan 2∅ = 30 / 8 ÷ 1 - 225 / 64
tan 2∅ = 15 / 4 ÷ 64 - 225/ 64
tan 2∅ = 15 / 4 ÷ -161 / 64
tan 2∅ = 15 / 4 × 64 / -161
tan 2∅ = - 960 / 644
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Find the partial fraction decomposition of 15/(x-7)(x+3)
Answer:
[tex]\frac{15}{(x-7)*(x+3)} = \frac{3/2}{x-7} + \frac{-3/2}{x+3}[/tex]
Step-by-step explanation:
Set up the partial fraction decomp:
[tex]\frac{15}{(x-7)*(x+3)} = \frac{A}{x-7} + \frac{B}{x+3}\\[/tex]
Multiply across:
[tex]15 = (\frac{A}{x-7} + \frac{B}{x+3})*(x+3)*(x-7)\\15 = A(x+3) + B(x-7)\\[/tex]
You can do this two ways from this point, you can plug in values for x to solve for A and B individually or set up a system of equations to find A and B
[tex]15 = Ax + 3A + Bx -7B\\Ax + Bx = 0\\3A - 7B = 15\\[/tex]
From the first equation we can see that A = -B, plugging into the second equation we get that
-10B = 15, so therefore B = -3/2 and because of the first equation A = 3/2 giving us our answer
Can someone help me with this problem?
This requires the circle theorem and the angle at the center postulate.
What does the angel at the center state?
It simply states that the angle subtended by an arc at the centre is twice the angle subtended at the circumference.
Thus
8) m∡CA = 72 x 2 = 144°
9) m∡AD = 144/2 = 72° - Angle Bisected by radius.
10) m∠C = ∠∡CA/2 = 72/2 = 36°
11) where the angles in the polygon are given as:
4y + 14)°
105°
7y+1)°
7x +1)°
Then, x and y are given as follows.
Note that 105° and (7y+1)° are opposite angles in a polygon = 180°
Also
(4y + 14)° + (4y + 14)° = 180
Thus
105° + (7y+1)° = 180 ......1
(7x +1)° + (4y + 14)° = 180 .....2
Simplifying the first equation:
105° + (7y+1)° = 180
7y + 106 = 180
7y = 74
y = 10.57
(7x +1)° + (4y + 14)° = 180
(7x + 1)° + (4 (10.57) + 14)° = 180
(7x + 1)° + 54.28° = 180
7x + 55.28 = 180
7x = 124.72
x = 17.82
So we can conclude that , x is approximately 17.82 and y is approximately 10.57.
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Which of these is found in only the pretest summary?
O a. df
O b. mean
O c. variance
O d. observations
The correct answer is d. observations, which is only the pretest summary.
Define the term pretest summary?A pretest summary is a summary of the data collected during a preliminary test or trial run.
The correct answer is d. observations.
The pretest summary is a summary of the data collected during a preliminary test or trial run, and it typically includes summary statistics such as the mean, variance, and degrees of freedom (df). However, the number of observations or sample size is typically not included in the pretest summary, as it is generally assumed to be the same as the number of observations in the full dataset. The number of observations is usually included in the full dataset summary, along with other descriptive statistics.
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the odds in favor of an event are give compute the probability of the event enter the probability as a fraction 4 to 9
The probability of the event is 4/13 when the odds in favor of the event are 4 to 9.
When the odds in favor of an event are given as a ratio of "a to b", the probability of the event can be calculated as:
Probability of the event = a / (a + b)
In this case, the odds in favor of the event are 4 to 9.
Therefore, we have:
a = 4 (the number of favorable outcomes)
b = 9 (the number of unfavorable outcomes)
Substituting these values into the formula, we get:
Probability of the event = 4 / (4 + 9)
Probability of the event = 4 / 13
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Prove that there exists infinitely many integers $n$ such that $n^2+1$ is squarefree. (a square-free integer is an integer which is divisible by no square number other than 1.)
Answer:
To prove that there exist infinitely many integers n such that n^2 + 1 is squarefree, we can use a proof by contradiction.
Assume the contrary, that there are only finitely many integers n such that n^2 + 1 is squarefree. Let's denote these integers as n_1, n_2, ..., n_k, where k is a finite positive integer.
Consider the number N = (n_1^2 + 1) * (n_2^2 + 1) * ... * (n_k^2 + 1) + 1.
Note that N is an integer and is greater than each of the numbers n_i^2 + 1 for i = 1 to k. Since n_i^2 + 1 is squarefree for each i, N is also squarefree, as it is not divisible by any square number other than 1.
However, N cannot be equal to any of the n_i^2 + 1, as N is strictly greater than each of them. This contradicts our assumption that n_1, n_2, ..., n_k are all the integers such that n^2 + 1 is squarefree.
Therefore, our assumption must be false, and there exist infinitely many integers n such that n^2 + 1 is squarefree. This completes the proof by contradiction.
Step-by-step explanation:
write the integer as a product of two integers such that one of the factors is a perfect square
27
27 can be written as a product of 3 and 9, where 9 is a perfect square.
What is perfect square?In mathematics, a perfect square is an integer that is equal to the square of another integer. In other words, a perfect square is a non-negative integer that can be expressed as the product of an integer with itself.
According to given information:To write 27 as a product of two integers such that one of the factors is a perfect square, we need to find a perfect square that divides 27.
The perfect square that divides 27 is 9, which is equal to [tex]3^2[/tex].
So, we can express 27 as the product of two factors, 3 and 9. One of the factors, 9, is a perfect square because it is equal to [tex]3^2[/tex]. Therefore, we have written 27 as a product of two integers where one of the factors is a perfect square.
We can also express 27 as 1 x 27 or 27 x 1, but neither of these representations includes a perfect square as a factor.
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Identify which of the following is a geometric sequence. A. 3, 12, 48, . . . B. 3, 1, , . . . C. 0, 1, 3, 9, . . . D. 3, 6, 12, 21, . . .
The geometric sequence in the list of options is A. 3, 12, 48, . . .
Identify the geometric sequence.A geometric sequence is a sequence of numbers in which each term after the first is found by multiplying the previous term by a fixed number.
A. 3, 12, 48, . . . is a geometric sequence because each term is obtained by multiplying the previous term by 4.
B. 3, 1, . . . is not a geometric sequence because there is no fixed ratio between terms.
C. 0, 1, 3, 9, . . . is not a geometric sequence because the ratio between terms is not constant.
D. 3, 6, 12, 21, . . . is not a geometric sequence because the ratio between terms is not constant.
Therefore, the only geometric sequence is A. 3, 12, 48, . . .
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Answer:
3, 12, 48, . . .
Step-by-step explanation:
got it right
Xzavier stops by Sweet Treats after school to get a birthday surprise for his mom. He has $11. The table shows the prices of his mom's favorite treats.
Sweet Treats
Candy Price per Pound
Chocolate-covered Cashews $13.88
Chocolate-Peanut Butter Cups $11.46
Chocolate-Caramel Bites $9.62
Gourmet Gummy Bears $8.24
After looking at the prices, Xzavier decides to get two different one-half pound bags of candy for his mom. Do not consider tax. If Xzavier spends the greatest amount possible for two different one-half pound bags of candy, which two candies did he buy?
A. chocolate-covered cashews and chocolate-caramel bites
B. chocolate-peanut butter cups and chocolate-caramel bites
C. gourmet gummy bears and chocolate-caramel bites
D. chocolate-peanut butter cups and gourmet gummy bears
Option B is the correct answer: chocolate-peanut butter cups and chocolate-caramel bites.
How will Xzavier decide which two candids he buy?Xzavier should choose the two candies with the highest price per pound to maximize his spending.
The prices per pound are as follows:
$13.88 for chocolate-covered cashews
$11.46 for chocolate-covered peanut butter cups
$9.62 for Chocolate-Caramel Bites
$8.24 for Gourmet Gummy Bears
Chocolate-covered Cashews and Chocolate-Peanut Butter Cups are the two chocolates with the highest per-pound pricing.
As a result, Xzavier purchased a half-pound of Chocolate-covered Cashews and a half-pound of Chocolate-Peanut Butter Cups.
Option B is the correct answer: chocolate-peanut butter cups and chocolate-caramel bites.
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Prove the proposition following this:
The proposition can be proven by showing that the left and right cosets of H in G form a partition of G.
How to prove the proposition ?As H is a G subgroup, it comprises the identity element e within G. For any g element in G, the left coset gH comprises ge = g and the right coset Hg contains eg = g. Thus, there are non-empty left as well as right cosets.
G's each element belongs to both the left and the right cosets of H. Hence, all left (or right) cosets' union in G covers every G element. The left and right cosets of H in G build non-empty subsets that do not intersect with one another. Their union equals G; thus, they certainly construct a partition for G.
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The table reports the distribution of pocket money, in bills, of the 6 students in a statistics seminar. Student Hannah Ming Keshaun Tameeka Jose Vaishali Amount, in dollars 2 4 4 5 5 7 For a random sample of size two, find the probability, expressed as a percent rounded to the nearest tenth, that the sample mean will be within $1 of the population mean
The probability, expressed as a percent rounded to the nearest tenth, that the sample mean will be within $1 of the population mean is 91.5%.
To find the probability that a random sample of size two will have a sample mean within $1 of the population mean, we need to first calculate the population mean and standard deviation.
The population mean is the average of the given values:
(2 + 4 + 4 + 5 + 5 + 7) / 6 = 4.5
The population standard deviation can be calculated using the formula:
σ = [tex]\sqrt{S(x-u)^{2}/N }[/tex]
where S represents the sum of, x is each value, u is the population mean, and N is the population size.
Using this formula, we get:
σ = [tex]\sqrt{(2-4.5)^{2}+ (4-4.5)^{2}+(4-4.5) +(5-4.5)^{2} +(5-4.5)^{2}+ (7-4.5)^{2} /6}[/tex] = 1.5
Now we can find the probability of getting a sample mean within $1 of the population mean using the t-distribution since the population standard deviation is unknown and the sample size is less than 30. Since we are looking for the probability of the sample mean being within $1 of the population mean, we need to find the probability of getting a sample mean between 3.5 and 5.5 dollars.
We can use a t-distribution table or a calculator to find the probability. For a sample size of 2, the degrees of freedom is 1, and using a t-distribution table with a significance level of 0.05, we get a t-value of 12.71.
Therefore, the probability of getting a sample mean between 3.5 and 5.5 dollars is approximately 91.5% (calculated using a t-distribution calculator or the t-distribution table), rounded to the nearest tenth.
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In 1932, Giuseppe Momo was commissioned to build the famous Vatican Museum double spiral staircase. Suppose that it takes you one hour to stroll at a constant speed up one spiral of this staircase, which has a radius of 28 feet and a height of 60 feet and makes 6 revolutions.
a)Assuming the spiral staircase is centered about the z-axis, find a vector parametric equation for the helical path you take from the point (28,0,0) to the point (28,0,60) that makes 6 revolutions during the time interval 0≤t≤1.
b)How far did you walk?
a) The vector parametric equation for the helical path is r(t) = <28cos(12πt), 28sin(12πt), 5t*12>, where t is the parameter and 0 ≤ t ≤ 1.
b) You walked a total distance of 840π feet.
a) To find the vector parametric equation for the helical path, we first note that the spiral staircase makes 6 complete revolutions as we climb from the bottom to the top. This means that as we climb 60 feet, we will make 6 full revolutions around the z-axis. Since the radius of the spiral is 28 feet, we can use the equation for a helix to describe our path.
r(t) = <28cos(θ), 28sin(θ), ht>
where θ is the angle of rotation around the z-axis and h is the height we have climbed. We know that we make 6 full revolutions, or 12π radians, as we climb from the bottom to the top, so we can substitute θ = 12πt. We also know that we climb 60 feet in one hour, so our height function is h(t) = 5t*12.
Thus, our vector parametric equation for the helical path is r(t) = <28cos(12πt), 28sin(12πt), 5t*12>, where t is the parameter and 0 ≤ t ≤ 1.
b) To find the distance we walked, we need to integrate the magnitude of the velocity vector over the interval [0,1].
The velocity vector is the derivative of the position vector:
v(t) = < -336πsin(12πt), 336πcos(12πt), 60>
The magnitude of the velocity vector is:
|v(t)| = sqrt((-336πsin(12πt))^2 + (336πcos(12πt))^2 + 60^2) = 336π
Thus, the distance we walked is:
distance = ∫|v(t)|dt from 0 to 1 = ∫336π dt from 0 to 1 = 336π(1-0) = 336π
Therefore, we walked a total distance of 840π feet.
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A group consists of six men and seven women. Three people are selected to attend a conference. a. In how many ways can three people be selected from this group of thirteen? b. In how many ways can three women be selected from the seven women? c. Find the probability that the selected group will consist of all women.
a)There are 286 ways to select any three people from the group of 13.
b)There are 35 ways to select three women from the group of seven women.
c) The probability that the selected group consists of all women is 0.122 or approximately 12.2%
What is probability?
Probability is the measure of the likelihood or chance that an event will occur, expressed as a number between 0 (impossible) and 1 (certain), or as a percentage between 0% and 100%. It is used to quantify uncertainty and make predictions in various fields such as mathematics, statistics, physics, engineering, economics, and social sciences
a. The total number of ways to select three people from a group of 13 is given by the combination formula,
C(13, 3) = 13! / (3! × (13 - 3)!) = 286
Therefore, there are 286 ways to select any three people from the group of 13.
b. The number of ways to select three women from a group of seven women is given by the combination formula,
C(7, 3) = 7! / (3! × (7 - 3)!) = 35
Therefore, there are 35 ways to select three women from the group of seven women.
c. To find the probability that the selected group consists of all women, we need to find the number of ways to select three women from the group of seven women and divide it by the total number of ways to select three people from the group of 13:
P(all women) = C(7, 3) / C(13, 3) = 35 / 286 = 0.122
Therefore, the probability that the selected group consists of all women is 0.122 or approximately 12.2%.
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Please help me solve questions 10, 11, & 12!
Answer:
Pretty sure it’s A, D, A
Step-by-step explanation:
In a class in which the final course grade depends entirely on the average of four equally weighted 100-point tests, Paul has scored 82 , 88 , and 87 on the first three. What range of scores on the fourth test will give Paul a C for the semester (an average between 70 and 79 , inclusive)? Assume that all test scores have a non-negative value.
Scores between 23 & 59 will give Paul a C for the semester (an average between 70 and 79).
The sum of the scores on the first three, hundred point tests
= 82 + 88 + 87 = 257.
The total score required in four 100-point tests to get an average score of 70 = 70X4= 280.
The total score required in four 100-point tests to get an average score of 79 = 79X4= 316.
Therefore, the score on the fourth test should be between (280-257) & (316-57) i.e, 23 & 59 to get an average score of 70 & 79.
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Find the slope of the line through these points.
(5,-3) and (-1, 6)
Answer:
-1.5
Step-by-step explanation:
Remember that the slope is the rise over the run, or: Slope = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex].
[tex]\frac{6 - -3}{-1 - 5} = \frac{9}{-6} = -1.5[/tex]
So, your slope is -1.5.
The simple interest charged on a 2-month loan of $22,000 is $521. Find the simple interest rate. (Round your answer to one decimal place.)
what's the area of a circle with a 74ft diameter use 3.14 for pie
Area of a circle is given by
[tex]\text{A} = \pi \times r^2[/tex]
We need to know the radius
[tex]\text{r} = \dfrac{\text{d}}{2}[/tex]
[tex]\text{r} = \dfrac{\text{74}}{2}[/tex]
[tex]\text{r} = 37 \ \text{mm}[/tex]
The radius is 37 mm and pi = 3.14
[tex]\text{A} = 3.14 \times (37)^2[/tex]
[tex]\text{A} = \boxed{\bold{4298.66 \ \bold{mm}^2}}[/tex]
A _____________ shape is one that does not have an identifiable name. While still flat, 2-D enclosed areas, these shapes are more "freeform" and might resemble things that we see in nature.
Question 5 options:
Geometric
Organic
Symmetrical
Asymmetrical
A Organic shape is one that does not have an identifiable name. While still flat, 2-D enclosed areas, these shapes are more "freeform" and might resemble things that we see in nature.
What is Organic shape?Geometric shapes are well-defined, regular shapes described by mathematical formulas, including circles, squares, triangles, and rectangles. Symmetrical shapes exhibit mirror-like symmetry, like butterflies or snowflakes.
Organic shapes appear in natural objects like leaves or rocks; they are flowing and curvilinear in form, with varying size, proportions, and contours. Organic shapes are free from strict rules and symmetry, often used in art.
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Willow owns 225 books. Of them, 5/9 are
mysteries. How many of Willow's books
are mysteries?
A) 225
B) > 225
C) < 225
D) 0
(Side note:)please provide explanation
The quantity of Willow's books that are mysteries would be = 125 books.
How to calculate the quantity of his books that are mysteries?To calculate the quantity of books that are mysteries the following is carried out.
The total number of books that willow has = 225 books
The total number of books that are mysteries = 5/9 of 225
That is ;
= 5/9 × 225/1
= 1125/9
= 125 books.
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Wendy says that she can find the sale price of an item by multiplying by
the difference of 100% and the percent of the sale. Is Wendy correct?
Explain and give an example.
Answer:
yes she is correct
Step-by-step explanation:
ASAPP Clinton and Stacy decided to travel from their home near Austin, Texas, to Yellowstone National Park in their RV.
- The distance from their home to Yellowstone National Park is 1,701 miles.
- On average the RV gets 10.5 miles per gallon.
- On average the cost of a gallon of gasoline is $3.60.
Based on the average gas mileage of their RV and the average cost of gasoline, how much will Clinton and Stacy spend on gasoline for the round trip to Yellowstone National Park and back home?
A. $1,166.40
B. $2,480.63
C. $583.20
D. $64,297.80
Answer:
A. $1,166.40
Step-by-step explanation:
Since they have to travel a round trip, the total distance traveled will be 2*1,701 = 3,402 miles.
The total amount of gasoline needed can be found by dividing the total distance by the average gas mileage of the RV:
Gasoline needed = 3,402 miles ÷ 10.5 miles/gallon = 324.57 gallons
The total cost of gasoline can be found by multiplying the gasoline needed by the cost per gallon:
Total cost = 324.57 gallons × $3.60/gallon = $1,169.25
Therefore, Clinton and Stacy will spend approximately $1,169.25 on gasoline for the round trip to Yellowstone National Park and back home.
The closest option to this answer is A. $1,166.40.
Hope this helps!
6 Harpreet wants to put tiles on the ceiling of a room.
He has this sketch of the ceiling.
11 m
5.5 m
Harpreet knows one pack of ceiling tiles
covers an area of 3.24 m²
costs £34.95
4m
9m
Ceiling tiles can be cut and joined.
Calculate the total cost of the packs of ceiling tiles Harpreet has to buy.
(6)
using the gcf, what is the factored form of 75
Answer:
The prime factorization of 75 is:
75 = 3 * 5^2
The greatest common factor (GCF) of the number 75 is 1, since 1 is the highest factor that can be shared by all the prime factors of 75.
Therefore, the factored form of 75 using the GCF is:
75 = 1 * 3 * 5^2
PLEASE MARK BRAILYEST! :D