◈ Area of square room :
[tex]:\implies\sf\:A_s=(side)^2[/tex]
[tex]:\implies\sf\:A_s=(12)^2[/tex]
[tex]:\implies\bf\:A_s=144\:m^2[/tex]
◈ Area of triangular carpet :
[tex]:\implies\sf\:A_t=\dfrac{1}{2}\times base\times perpendicular[/tex]
[tex]:\implies\sf\:A_t=\dfrac{1}{2}\times 10\times 8[/tex]
[tex]\:\implies\sf\:A_t=\dfrac{1}{2}\times 80[/tex]
[tex]:\implies\bf\:A_t=40\:m^2[/tex]
◈ Uncovered area of room :
[tex]:\implies\sf\:\Delta A=A_s-A_t[/tex]
[tex]:\implies\sf\:\Delta A=144-40[/tex]
[tex]:\implies\:\boxed{\bf{\blue{\Delta A=104\:m^2}}}[/tex]
solve for r
8(-3r-5)>104
Answer:
r<-6
Step-by-step explanation:
8(-3r-5)>104
-24r-40>104
-24r>144
r<144÷-24 (the sign switched because we divided by a negative number)
r<-6
write an equation to represent the relationship, and find the amount of peanut butter used to make 25 cracker packages. the table is peanut butter (tbsp) 1/2,5/8,3/4,7/8, the bottom is cracker packages 2,2 1/2,3,3 1/2.
We are given 4 points.
[tex](\frac{1}{2},2)[/tex]
[tex](\frac{5}{8},\frac{5}{2})[/tex]
[tex](\frac{3}{4},3)[/tex]
[tex](\frac{7}{8},\frac{7}{2})[/tex]
Using this, we can make an equation.
[tex]y=4x[/tex]
I got [tex]m=4[/tex] by using the slope formula.
[tex]m=\frac{2.5-2}{0.625-0.5}[/tex]
[tex]m=\frac{0.5}{0.125}[/tex]
[tex]m=4[/tex]
So the equation we have is [tex]y=4x[/tex]
Now, we can solve for how much peanut butter is used to make 25 packages by plugging in 25 for [tex]y[/tex], which is the number of cracker packages.
[tex]25=4x[/tex]
[tex]x=\frac{25}{4}[/tex]
We need to use [tex]\frac{25}{4}[/tex] teaspoons of peanut butter to make 25 packages of crackers.
Hope this helps.
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Use the ogive to approximate (a) the number in the sample, (b) the location of the greatest increase in frequency.
Answer:
Step-by-step explanation:
A). Number of samples given in the ogive = Number of points given n the graph
Number of points plotted on the graph = 16
Therefore, number of samples given = 16
B). Frequency at a point where weight of the pumpkins is 23.5 = 10
Frequency at a point where weight of the pumpkin is 24.5 = 23
Increase in frequency = 23 - 10 = 13
None other points have the increase more than the given points.
Location of the greatest increase in the frequency is between the weights 23.5 - 24.5 pounds.
The number of samples is 16, and the location of greatest increase in frequency is 23.5 to 24.5.
We are provided with an ogive curve. In the x-axis, we have weight in pounds and y-axis represents frequency.
(a).
Now, the number of points on the ogive represents the number of sample.
So, the number of points on the curve is 16 which is also the number of samples.
(b).
The greatest increase in frequency is represented in the range 23.5 to 24.5.
The greatest hike in frequency is about 10.
Therefore, the number of samples is 16, and the location of greatest increase in frequency is 23.5 to 24.5.
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For 50 points x³+y³+z³=8
Answer:
x = 2
y = - z (for example 2)
Step-by-step explanation:
2³+2³+(-2)³= 8+8-8=8
Answer:
arrg
Step-by-step explanation:
What is 24.541 divided by 6
Evaluate81−−√4 help ......................
Answer:
=81e^2lva^2ut-2
Step-by-step explanation:
12 + 4 - 8 / 2 * 3 workings pls
Answer:
4
Step-by-step explanation:
8/2=4
4*3=12
12+4=16
16-12=4
The sum of three consecutive numbers is 600. What is the least of these three numbers?
Answer:
199
Step-by-step explanation:
So we have three consecutive numbers that totals 600 when added.
Let's let the first number be n.
This means that the next number is (n+1), and the subsequent number is (n+2).
This totals 600. In other words:
[tex](n)+(n+1)+(n+2)=600[/tex]
To solve for the integers, solve for n.
Combine like terms:
[tex]3n+3=600[/tex]
Subtract 3 from both sides:
[tex]3n=597[/tex]
Divide both sides by 3:
[tex]n=199[/tex]
So, the first integer is 199.
So our sequence is: 199, 200, 201.
So, the least of the three is 199.
And we're done!
Answer:
199 200 201
Step-by-step explanation:
199+200+201= 600
What is the median of 6.5, 4.5, 6.5, 4.5, 5, 4.5, 9, 3.5
4.75 is the answer list from least to greatest find the number in the middle
There is a number such that four times the number plus 3 is equal to 19. Find the number.
An equation is formed of two equal expressions. The number is 4.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given that there is a number such that four times the number plus 3 is equal to 19.
Let the number be M.
Given that there is a number such that four times the number plus 3 is equal to 19. Therefore, We can write it as,
4M + 3 = 19
Now, we can write,
4M + 3 = 19
Subtract 3 on both sides
4M + 3 - 3 = 19 - 3
4M = 16
Divide both sides by 4,
4/4 M = 16/4
M = 4
Thus, the number is 4.
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Which is not a way to solve 5 ÷ 1/2
Answer:
5 divided by 1/2 = 5/1 times 2/1 = 10
Step-by-step explanation:
Answer:la 2.5
Step-by-step explanation:
What are Three ways to name EF
rational or irrational 0.135135135135
Answer: it is a rational
Step-by-step explanation:
(Select all that Apply)
Which of the following is an equation?
O 11=11
6+5=11
6 +5 – 11
06-5=11
Dr. Gordon has a scale drawing of a building site. The drawing uses the scale 2 in. on the drawing for every 100 ft on the building site. Dr. Gordon marks a 6 in. -by-3.2 in. section of the drawing to show the section she will search. What is the area of the section she will search? Show your work.
Answer:
48000
Step-by-step explanation:
6÷2= 3 in.
3×100= 300 in.
3.2÷2=1.6 in.
1.6×100= 160 in.
A= 160×300= 4800 in.
The required area of the section marked by Dr. Gordon is 48,000 feet².
Given that
Dr. Gordon has a scale drawing of a building site.
The drawing uses the scale 2 in. on the drawing for every 100 ft on the building site.
Dr. Gordon marks a 6 in. -by-3.2 in.
The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.
Here,
Dr. Gordon marks a 6 in. -by-3.2 in
Length = 6 in
Length= 300 ft (since 2 in = 100 ft)
Width = 3.2 in
Width = 160 ft
Now the required area of the section is = length x width
= 300 * 160
= 48000 feet²
Thus, the required area of the section marked by Dr. Gordon is 48,000 feet².
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Is the relationship between the height of a staircase and the number of steps linear?
Answer:A stair rise is the vertical distance from the top of one tread to the top of the next tread. The total run is the overall horizontal distance traveled by the stringer.
Step-by-step explanation:
Which is the best estimate for the percent equivalent to 3/8?
A.) 26% B.) 27% C.) 37% D.) 38%
Answer:
C.) 37%
Explanation:
To find this out, turn 3/8 into decimal form, (0.375).
Now, turn each percent into standard form. (Also decimal form)
26% = 0.26, 27% = 0.27, 37% = 0.37, and 38% = 0.38.
The decimal closest to 0.375 is 37%.
Hope this helped! ♥♥
Mark Me as Brainliest Please! :3
Answer:
D.) 38%
Step-by-step explanation:
Convert the fraction into a decimal:
[tex]\frac{3}{8}=0.375[/tex]
Convert the decimal into a percent:
[tex]0.375*100=37.5[/tex]
0.375 = 37.5%
Round the percent:
37.5% ≈ 38%
Option D is the best answer.
Hope this helps.
Now, look at the set of integers. Complete the table for the closure property if integers under the four operations.
Answer:
See below.
Step-by-step explanation:
Addition: closed
Example: -5 + 10 = 5, and -5, 10, and 5 are all integers
Subtraction: closed
Example: 10 - 8 = 2, and 10, 8, and 2 are all integers
Multiplication: closed
Example: -4 * 7 = -28, and -4, -7 and -28 are all integers
Division: not closed
Example: 5/2 = 2.5, and 2.5 is not an integer, although 2 and 5 are integers
The set of integers is closed under addition, subtraction, and multiplication because any addition, subtraction, or multiplication of integers always results in an integer.
The set of integers is not closed under division because a division of integers does not always result in an integer.
Estimate then find the product of 4x979
Answer:
Around 4000[since 979 close to 1000]
Step-by-step explanation:
4x979
=>3916
A group of 23 friends gets together to play a sport. First, people must be divided into teams. Each teams has to have exaclty 4 players, and no one can be on more than one team. How many teams can they make?
Answer:
5
Step-by-step explanation:
Solve each system of equations of equations.
x + y = -6
2x - y = 3
Answer:
x = -1, y = -5
Step-by-step explanation:
x + y = -6
2x - y = 3
Add the two equations together to eliminate y
x + y = -6
2x - y = 3
------------------
3x = -3
Divide by 3
3x/3 = -3/3
x = -1
Now find y
x+y = -6
-1+y = -6
Add 1 to each side
-1+1 +y = -6+1
y = -5
7/5 mile / 2/3 hour worked out please
Steps to solve:
7/5 ÷ 2/3
~Dot
7/5 * 2/3
~Flip
7/5 * 3/2
~Multiply
21/10
Best of Luck!
Answer:
21/10 = 2.1 mile/hour
Step-by-step explanation:
(a/b) ÷ (c/d) = (a*d) ÷ (b*c)
then:
(7/5) ÷ (2/3) = (7*3) ÷ (5*2) = 21/10 mile/hour
Solve the following system of equations algebraically:
y= 16x2 + 9x – 5
y = –2 – 6
Step-by-step explanation:
Is the x between 16 and 2 for multiplication or are you using it as a variable??
When did the United States first establish its measuring system, and who was responsible for
picking the system?
Answer:
1975 Thomas Jefferson
Step-by-step explanation:
Five people are tossing a coin in turn and agree that the first one to get a head wins. What's the probability that the first person who tosses the coin wins the game? a. 8/15 b. 16/31 c. 1/2 d. 1/5
A 12-ft ladder leaning against a house makes a 64 degree angle with the ground. Will the ladder reach a window sill that is 10.5 ft up from the base of the house?
Answer:
Yes, it will
Step-by-step explanation:
Given
Length of Ladder = 12 ft
Angle = 64
Required
Determine if it'll reach a height of 10.5ft from the base
See attachment for proper illustration.
From the attachment, we want to determine that x be greater than 10.5
Using sin formula:
[tex]Sin\ 64 = \frac{x}{12}[/tex]
Multiply through by 12
[tex]x = 12 * sin\ 64[/tex]
[tex]x = 12 * 0.8988[/tex]
[tex]x = 10.79[/tex] (Approximated)
Since 10.79 is greater than 10.5, then the ladder will reach the window
sin64 = x/12
x = 12* sin64
a triangle window has area 24 square feet and height six feet. what is its base? define variable, and set up and solve an equation to answer this.
Answer:
6*y/2=24
24*2=48
48/6=8
y=8
Step-by-step explanation:
The equation will be 24 = [tex]\frac{1}{2}[/tex] × b × 6 value of base will be b = 8 ft .
A triangle has area 24 square ft. and height 6 ft.
What will be its base. Find an equation also.
What is the formula of area of triangle ?
Area of triangle is ; Area = [tex]\frac{1}{2}[/tex] × b × h
∵ The equation of area of triangle will be ;
Area = A = [tex]\frac{1}{2}[/tex] × b × h ----- - --- --- --- Equation 1
A = 24 = [tex]\frac{1}{2}[/tex] × b × 6
⇒ b = [tex]\frac{24 * 2}{6}[/tex] = [tex]\frac{48}{6}[/tex] = 8
⇒ b = 8 ft.
Thus , the equation will be 24 = [tex]\frac{1}{2}[/tex] × b × 6 value of base will be b = 8 ft .
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Samara Park gets $0.25 for each pound of apricots she dries. How much will she be paid if she dries 16.4 pounds?
Samara will be paid $4.10 for drying 16.4 pounds of apricots.
How to calculate payment?To calculate the payment for the purchase of the item, we can use the formula:
Payment = Rate × Amount
Here, the rate is the amount paid per pound and the amount is the total number of pounds item.
To calculate Samara's payment for drying apricots, we can use the formula:
Payment = Rate × Amount
As per the question, the rate is $0.25 per pound, and the amount is 16.4 pounds.
So, substitute these values into the formula:
Payment = $0.25 × 16.4
Multiply $0.25 by 16.4:
Payment = $4.10
Therefore, Samara will be paid $4.10 for drying 16.4 pounds of apricots.
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write the equation of the parabola in vertex form vertex (0,0) passes through (2,1)
Answer:
[tex]f(x)=\frac{1}{4}x^2[/tex]
Step-by-step explanation:
Recall the vertex form of a quadratic equation:
[tex]f(x)=a(x-h)^2+k[/tex]
Where (h,k) is the vertex.
We are told that the vertex is (0,0). Therefore:
[tex]f(x)=a(x-0)^2+(0)[/tex]
Simplify:
[tex]f(x)=ax^2[/tex]
So, to finish the equation, we need to find a.
We know that a point is (2,1). Thus, substitute 1 for f(x) and 2 for x:
[tex]1=a(2)^2[/tex]
Square:
[tex]1=4a[/tex]
Divide both sides by 4:
[tex]a=\frac{1}{4}[/tex]
So, our a value is 1/4.
And we can thus complete our equation:
[tex]f(x)=\frac{1}{4}x^2[/tex]
And we are done :)
what is the answer to d = -f + 2/3a
Answer:
For f = -d +2/3a
Step-by-step explanation: