600 g flour is needed to make the recipe which needs 150 g flour for 3 people, for 6 people.
Given that a recipe for 3 people uses 150 g of flour.
We know that the relation between quantity of flour and number of people for whom recipe will be prepared is directly proportional.
So if the number of people will increase so the quantity of flour will be needed more.
The flour needed to make the recipe for 1 people is = 150/3 = 50 g.
The flour needed to make the recipe for 6 people will be = 50 * 6 = 300 g.
Hence 600 g flour is needed to make the same recipe for 6 people.
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hey i need help a sap
Answer:
1. f(x)=1-1/2
4. y=10x
5. yes
Step-by-step explanation:
1)
f(x) = 4(2 + 3x) + 3 is a linear function.
2)
The slope of the function is 6.
3)
The linear function is (1/2)x - 4.
4)
y = x² + 2 is not a linear function.
5)
No, it is not a linear function.
6)
Graph D does not represent a linear function.
7)
Graph B does not represent a linear function.
8)
Table D is a linear function.
9)
Table B is not a linear function.
10)
3x + 2y = 6 is a linear function.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
1)
f(x) = 4(2 + 3x) + 3
f(x) = (1/2)x² - 5
f(x)= 5 - x²
f(x) = 1 - 1/x
The graph of each function is given below.
The red line in the graph represents f(x) = 4(2 + 3x) + 3.
This is a straight line which means it is a linear function.
2)
f(x) = 2(3x - 7)
f(x) = 6x - 14
It is in the form of y = mx + c where m is the slope.
So,
m = 6
3)
f(x) = (1/2)x - 4
f(x) = x³ - 2
The graph is given below.
The red line represents f(x) = (1/2)x - 4.
This is a linear function.
4)
y = 3x + 12
y = x² + 2
y = 10x
y = 9
The graph is shown below.
The green curve is y = x² + 2.
This is not a linear function.
5)
y = 2x² - 6
This is not a linear function because we have x².
The graph is given below.
6)
Graph D represents a non-linear function.
7)
Graph B represents a non-linear function.
8)
If the rate of change between two (x, y) from the graph is the same then it is a linear function.
Table D has the same rate of change.
Rate of change = (y(2) - y(1)) / (x(2) - x(1))
= (4 - 7) / (-1 + 2)
= -3/1
= -3
Table D is a linear function.
9)
If the rate of change between two (x, y) from the graph is the same then it is a linear function.
Table B does not have the same rate of change.
Rate of change = (y(2) - y(1)) / (x(2) - x(1))
Table B is not a linear function.
10)
The green line on the graph represents a straight line.
The green line is a linear function.
The green line is 3x + 2y = 6.
Thus,
The answers are given above.
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Easy Points !!✅
Casey’s starting balance was $922.36. He had $256.71 in deposits and $1,317.24 in debits. What is his ending balance ?
Since starting balance is $922.36 and she deposits $256.71 and then debits $1317.24. Ending Balance will be 922.36+256.71-1317.24=$138.17 in debt.
Deposits? What do you mean?You make a deposit when you add money to your bank account. To build savings and earn interest, you should put money in a bank. For money you can withdraw at any time, a demand deposit is made. A time deposit is an investment for the long term. When you take out a loan, you might also pay a deposit as collateral.
Debit and credit mean what?In double-entry bookkeeping, debits and credits are entries made in account ledgers to record value changes brought on by business transactions. A credit entry represents a value transfer from the account, whereas a debit entry represents a transfer of value to the account.
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A card is picked at random from a standard deck of cards. What is the sample space for this experiment if you were trying to find P(face card)? a. Sample space = 12 b. Sample space = c. Sample space = d. Sample space = 52
The sample space of the experiment is 52.
What is probability?The possibility that an event will occur among all potential events is known as probability. It ranges from 0 to 1. The probability is calculated by dividing the number of things by all of the items. Population includes the sample. When studying the entire population is challenging, it is studied.
52 cards in a deck
There are 12 face cards.
The experiment needs a sample space of 52 to find the face cards.
Given that a regular deck of cards is available.
The sample space required for the experiment to determine the probability of face cards must be found.
A face card may or may not be revealed when we pull a card from the deck. So, in order to rule out the possibility that a face card is present at the end of the deck, we must draw every card from a regular deck.
52 samples are therefore required for the experiment.
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This is a two part question and it would really help me if you could solve both! :)
[tex]\displaystyle\\Answer:\ none \ of\ these\ (m=-\frac{5}{3} );\ isosceles,\ right[/tex]
Step-by-step explanation:
1.
a) find the midpoint G of the side DE:
[tex]x_D=-2\ \ \ \ x_E=3\ \ \ \ y_D=-2\ \ \ \ y_E=1[/tex]
[tex]\displaystyle\\x_G=\frac{x_D+x_E}{2} \\\\x_G=\frac{-2+3}{2}\\\\x_G=\frac{1}{2}\\\\x_G=0.5[/tex]
[tex]\displaystyle\\y_G=\frac{y_D+y_E}{2}\\\\y_G=\frac{-2+1}{2} \\\\y_G=\frac{-1}{2} \\\\y_G=-0.5\\\\Thus,\ G(0.5,-0.5)[/tex]
b) find the midpoint I of the side DF:
[tex]x_D=-2\ \ \ \ x_F=6\ \ \ \ y_D=-2\ \ \ \ y_F=-4[/tex]
[tex]\displaystyle\\x_I=\frac{x_D+x_F}{2} \\\\x_I=\frac{-2+6}{2} \\\\x_I=\frac{4}{2} \\\\x_I=2[/tex]
[tex]\displaystyle\\y_I=\frac{y_D+y_F}{2}\\\\y_I=\frac{-2+(-4)}{2}\\\\y_I=\frac{-6}{2} \\\\y_I=-3\\\\Thus,\ I(2,-3)[/tex]
c) the slope of GI:
[tex]x_G=0.5\ \ \ \ x_I=2\ \ \ \ y_G=-0.5\ \ \ \ y_I=-3[/tex]
[tex]\displaystyle\\m_{GI}=\frac{y_I-y_G}{x_I-x_G} \\\\m_{GI}=\frac{-3-(-0.5)}{2-0.5} \\\\m_{GI}=\frac{-3+0.5}{1.5} \\\\m_{GI}=\frac{-2.5}{1.5} \\\\m_{GI}=\frac{-2.5(2)}{1.5(2)} \\\\m_{GI}=-\frac{5}{3}[/tex]
2.
Type of Δ DEF:
a) find the length of the side DE:
[tex]|DE|=\sqrt{(3-(-2)^2+(1-(-2)^2}\\\\|DE|=\sqrt{(3+2)^2+(1+2)^2} \\\\|DE|=\sqrt{5^2+3^2}\\\\|DE|=\sqrt{25+9} \\\\|DE|=\sqrt{34} \ units[/tex]
b) find the length of the side EF:
[tex]|EF|=\sqrt{(6-3)^2+(-4-1)^2}\\\\|EF|=\sqrt{3^2+(-5)^2}\\\\ |EF|=\sqrt{9+25} \\\\|EF|=\sqrt{34}\ units[/tex]
Hence, DE=EF
c) find the m∠DEF:
[tex]\displaystyle\\cos \angle E=\frac{\overrightarrow {DE}+\overrightarrow {EF}}{|DE|*|EF|} \\\\[/tex]
Find the coordinates of the vector by the coordinates of its beginning and end points:
[tex]\displaystyle\\\overrightarrow {DE}=(x_E-x_D,y_E-y_D)\\\\\overrightarrow {DE}=(3-(-2),1-(-2))\\\\\overrightarrow {DE}=(5,3)\\\\\overrightarrow {EF}=(x_F-x_E,y_F-y_E)\\\\\overrightarrow {EF}=(6-3),-5-1)\\\\\overrightarrow {EF}=(3,-5)\\Hence,\\\\cos\angle E=\frac{5*3+3*(-5)}{\sqrt{34}*\sqrt{34} } \\\\cos\angle E=\frac{15-15}{34 }\\\\cos\angle E=\frac{0}{34 }\\\\cos\angle E=0\\\\m\angle E=90^0[/tex]
Write a possible explicit rule, then find a 10-
(0, 7, 26, 63, 124, ...)
n³ - 1
Explicit rule: an = n³
a10 =
Here the 10th term of this arithmetic sequence is 999.
What is an arithmetic sequence in math?An arithmetic sequence is one in which each phrase grows by adding or removing a certain constant, k. In a geometric sequence, each term rises by dividing by or multiplying by a certain constant k.A series of integers called an arithmetic progression or arithmetic sequence has a constant difference between the terms. An arithmetic progression with a common difference of 2 is found, for instance, in the numbers 5, 7, 9, 11, 13, and 15.Using the method for locating the nth term, we may locate a particular term in an arithmetic series. Step 1: An arithmetic sequence's nth term is determined by the formula a = a + (n - 1)d. Therefore, enter the numbers a = 2 and d = 3 into the formula to determine the nth term.Given data :
an = n³ - 1
a1 = 1³ - 1 = 1 - 1 = 0
a2 = 2³ - 1 = 8 - 1 = 7
a3 = 3³ - 1 = 27 - 1 = 26
a4 = 4³ - 1 = 64 - 1 = 63
a5 = 5³ - 1 = 125 - 1 = 124
a10 = 10³ - 1 = 1000 - 1 = 999
I saw that these numbers were one less than the cubes. So the answer is
a_n = n^3 - 1
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What is the difference between polynomials and not polynomials equation explain your answer?
By noticing which formulas only contain the operations of addition, subtraction, multiplication, and non-negative integer exponents, the polynomials may be located. Expressions with additional operations are considered non-polynomial expressions.
Expressions are polynomials, but expressions that equal zero are polynomial equations.
A polynomial may be written as the sum of a finite number of terms, where each term is the product of one or more variables raised to a positive integer exponent and a constant coefficient (or power).
An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).
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Distribute and then combine the like terms to simplify each expression.
8f - 6 (-5 - 7f)
please help
Answer: We start by distributing the -6 to the terms inside the parentheses:
8f - 6(-5) - 6(7f)
Then we simplify each term inside the parentheses:
8f + 30 + 42f
Now we combine like terms:
8f + 30 + 42f = 50f + 30
So the simplified expression is 50f + 30
Step-by-step explanation:
An object is launched at an upward velocity of 9696 feet per second from the top of a building 160160 feet above the ground. Use the vertical motion model h=-16t^{2}+vt+c, where hh is the ending height of the object, cc is the initial height, in feet, of the object, tt is the time in seconds, and vv is the velocity of the object.
How long will it take the object to reach the maximum height and what is the maximum height? Fill in the blanks with the appropriate values.
The time that it will take for the object to reach maximum height is given as follows:
3 seconds.
The maximum height is given as follows:
304 feet.
How to model the object's height?The object's height is modeled by a quadratic function in the following format:
h = -16t² + v(0)t + h(0).
In which:
v(0) is the initial velocity.h(0) is the initial height.The parameters for this problem are given as follows:
v(0) = 96, h(0) = 160.
Hence the function is defined as follows:
h(t) = -16t² + 96t + 160.
Meaning that the coefficients of the quadratic function are given as follows:
a = -16, b = 96, c = 160.
The coefficient a is negative, meaning that this is a concave down quadratic function, thus the vertex of the quadratic function represents the maximum height.
The t-coordinate of the vertex is given as follows:
t = -b/2a = -96/-32 = 3 seconds.
Then the maximum height is of:
h(3) = -16(3)² + 96(3) + 160
h(3) = 304 feet.
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A customer purchased 1/4 pound of ham, 1 1/2 pounds of turkey, 1 pound of roast beef, and 3/4 pound of bologna. Approximately what will the customer pay for the purchase before sales tax?
A customer purchased 1/4 pound of ham, 1 1/2 pounds of turkey, 1 pound of roast beef, and 3/4 pound of bologna. Therefore, the customer pay for the purchase before sales tax is $22.
Sales tax:
A sales tax is a tax paid to a governing body on the sale of certain goods and services. Laws generally allow sellers to collect taxes from consumers at the time of purchase. When a tax on goods or services is paid by consumers directly to the governing body, it is usually called a use tax. Laws often provide excise and use tax exemptions for certain goods or services, such as: food, education, medicine, etc. Value Added Tax (VAT) charged on goods and services is related to sales tax.
For Example:
I am shopping at The Clothing Boutique and would like to estimate the total after tax before checking out. After counting the total price of the items in the cart, the total is $100. Sales tax in this county is 9.5%, so you charge 9.5% (100 x 0.095) of $100.
According to the question:
The purchase before sales tax:
= 1/4 × $5.99 + 1 1/2 × $4.99 + 1 × $6.99 + 3/4 ×2.99
= $1.5 + $7.5 + $6.99 + $5.24
= $21.23 ≈ $22
Therefore, the customer pay for the purchase before sales tax is $22.
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find the lcm of a^3 -125 and a^4 +25a^2 +625
pleaseee helpppp
Answer:
625
Step-by-step explanation:
1.25.625
125 = 5³
625 = 5⁴
prime factor 5 , number 125 is 3 number 625 is 4 LCM is 4
LCM = 5⁴
so the LCM is 625
This box plot represents the marks gained by students in an exam. Nobody gained exactly 30, 48 or 70 marks. 120 students gained less than 70 marks. How many students gained more than 48 marks?
Therefore , the solution of the given problem of scatter plot comes out
to be 2 regions contain 2 x 40 (or 80) students.
Definition of a scatter plotSeveral dots are placed on a vertical and horizontal axis to form a scatter plot. In statistics, scatter plots are crucial because they can demonstrate the amount of correlation, if any, between both the quantities of observed quantities or occurrences (called variables).
Here,
A box plot separates a data set into four areas, each identified by five lines. The lowest line displays the result, while the highest line displays the result. 25% of the data points are distributed across each region, and the median score is indicated by the middle line.
In this box plot, for instance, there are lines at 10, 30, 48, 70, and 100. The fact that no student received a score exactly equal to 30, 48, or 70 allows us to deduce the following:
Because the middle two sections represent the interquartile range (IQR), which comprises the middle 50% of the data, they are frequently "boxed" together.
We are informed that 120 students received test scores below 70. Additionally, since there are three regions with scores below 70 and each region has a 25% weighting, 3 x 25% (or 75% of the students) had scores below 70.
In other words, 75% of 120 students.
If there are 120 students total throughout the three regions, then each
region has 40 pupils, or one-third of the total.
The box plot indicates that there are two areas, and since each region has 40 students, there are 80 students total in the two regions.
As a result, two zones with two sets of 40 students each make up the solution to the scatter plot problem.
Therefore , the solution of the given problem of scatter plot comes out
to be 2 regions contain 2 x 40 (or 80) students.
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The geometric sequence LaTeX: a_n=125\left(\frac{1}{5}\right)^{n-1}a n = 125 ( 1 5 ) n − 1 represents the sales of a specific product at a store, where n is the number of years after its release. What is the sum of the first 6 terms?
The given sequence represents the sales of a product over time. The sum of the first 6 terms is 693.75, which is calculated by multiplying each term in the sequence by its respective exponent.
The sum of the first 6 terms of the geometric sequence is calculated as follows:
[tex]a_1 = 125 \left(\frac{1}{5}\right)^{1-1} = 125 \\[/tex]
[tex]a_2 = 125 \left(\frac{1}{5}\right)^{2-1} = 25 \\[/tex]
[tex]a_3 = 125 \left(\frac{1}{5}\right)^{3-1} = 5 \\a_4 = 125 \left(\frac{1}{5}\right)^{4-1} = 1 \\a_5 = 125 \left(\frac{1}{5}\right)^{5-1} = \frac{1}{5} \\a_6 = 125 \left(\frac{1}{5}\right)^{6-1} = \frac{1}{25} \\[/tex]
Total sum = 125 + 25 + 5 + 1 +[tex]\frac{1}{5} + \frac{1}{25}[/tex] = 693.75
The geometric sequence a_n=12[tex]5\left(\frac{1}{5}\right)^{n-1}[/tex]represents the sales of a product over time, where n is the number of years after its release. The sum of the first 6 terms is calculated by multiplying each term in the sequence by its respective exponent. This gives us the following 6 terms: a_1 = 125, a_2 = 25, a_3 = 5, a_4 = 1, a_5 = 1/5, and a_6 = 1/25. The sum of these 6 terms is 693.75.
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What is the solution to this system of linear equations y − x 6 y x − 10?
The solution to the system of linear equations is (-8, -2).
NOTE: The problem that is solved here is, 'What is the solution to this system of linear equations? Y - x = 6, Y + x = -10'
The equations with two variables and the largest exponent order of 1 each have one, zero, or an infinite number of solutions, and are referred to as linear equations.
A linear equation with two variables has the conventional form ax + by + c = 0, where x and y are the variables.
Additionally, the answers can be expressed as ordered pairs, like as (x, y). The system of linear equations in two variables is graphically represented by two straight lines, which may intersect, be parallel, or be coincident.
y - x = 6 ----> y = x + 6
y + x = -10 -----> y = - x - 10
As both the equations in terms of y, we get
x + 6 = - x - 10
By further calculation
x + x = - 10 - 6
2x = - 16
Dividing both sides by 2
x = -8
Substituting the value of x in either of the equations
y - x = 6
y - (-8) = 6
So we get
y + 8 = 6
y = 6 - 8
y = - 2
Therefore, the solution to the system of linear equations is (-8, -2).
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seven pounds of fertilizer can cover 1400 square feet can be covered by 2 pounds of fertilizer
The area for 2 pounds of fertilizer is 400 square feet
How to determine the amount of fertilizer for 2 pounds?
From the question, we have the following parameters that can be used in our computation:
seven pounds of fertilizer can cover 1400 square feet
This means that
7 pounds of fertilizer = 1400 square feet
Divide both sides of the equation by 7
So, we have the following representation
1 pounds of fertilizer = 200 square feet
Multiply both sides of the equation by 2
So, we have the following representation
2 pounds of fertilizer = 400 square feet
Hence, the area is 400 square feet
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What is the x-intercept of the line 4x y =- 4?
The x-intercept of the line 4x-y =- 4 is (1,0).
At x-intercepts, y=0 and at
y-intercepts, x=0.
So, to find the,
x-intercept, set y=0
4x−0=4
4x=4
x=1.
The points at which the graph of a function or an equation crosses or "touches" the x-axis of the Cartesian Plane are referred to as the x-intercepts. This could be thought of as a point with a y-value of zero. Let y equal 0 and then solve for x to determine the equation's x-intercepts.
Because the line crosses the x-axis when y=0, the equation for x must be solved in order to determine the x-intercept. We can solve for the intercepts when an equation is not in the form y = mx + b by solving for the remaining variable and plugging in 0 as necessary. To locate the y-intercept: solve for y and set x to zero.
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What is the remainder when f(x) = x^4 - 8x^2 + 10x + 22 is divided
B.2 by x + 3?
A. -107
B. -17
C. 61
D. 1
Answer:
Step-by-step explanation:
D. 1
Answer:
D) 1
Step-by-step explanation:
-3 | 1 0 -8 10 22
____-3_9_-3_-21_
1 -3 1 7 | 1
Hence, [tex]\frac{x^4-8x^2+10x+22}{x+3}= x^3-3x^2+x+7\,\,\,R1[/tex]
the greatest common factor of 12x-18
Answer:
6
Step-by-step explanation:
The prime factorization of 12x is 3*2*2x. The prime factorization of 18 is 2*3*3. The same thing that appears in both prime factorizations is 3*2, or 6.
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What are the properties of the graph of a function?
The properties of the graph of a function include domain, range, symmetry, asymptotes, intercepts, increasing or decreasing, continuity, smoothness, behaviour at infinity and shape.
1) Domain: The set of all input values (x-values) that produce a valid output (y-value) for the function.
2) Range: The set of all output values (y-values) that can be produced by the function for any valid input value in the domain.
3) Symmetry: A graph may be symmetric with respect to the x-axis, y-axis, or origin.
4) Asymptotes: A line that the graph of a function gets arbitrarily close to, but never touches.
5) Intercepts: The points where the graph of a function crosses the x- and y-axes.
6) Increasing or Decreasing: A function can be increasing over a certain interval, decreasing over a certain interval, or both.
7) Continuity: A function is continuous if its graph has no breaks or gaps.
8) Smoothness: A function is smooth if its graph has no sharp corners or links.
9) Behavior at Infinity: The behavior of a function at positive or negative infinity can be determined by analyzing the degree and leading coefficient of its equation.
10) Shape: The shape of a graph can be used to classify functions as linear, quadratic, exponential, logarithmic, etc.
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What is the Pythagorean triplet of 12 and 16?
"20" is the Pythagorean triplet of 12 and 16.
A set of three integers that can be the lengths of the sides of a right triangle is called a Pythagorean triple, it also defines the positive integers a,b, and c such that a right triangle exists with legs a,b, and hypotenuse c.
By the Pythagorean theorem, this is equivalent to finding positive integers a, b, and c satisfying a²+b²=c²
The simplest Pythagorean triple is the set “3,4,5.”
Now, substitute the values in the above equation:
=) x² = 12² + 16²
=) x² = 144 + 256
=) x² = 400
=) x = √(400)
=) x = 20.
Therefore, (12,16,20) is a Pythagorean triplet.
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The length of some material is 8.3m correct to 2 significant figures. Write the error int
length, x, of the material.
Therefore , the solution of the given problem of equation comes out to be the error range for x is [1250, 1350].
Explain the equation.A mathematical equation is a formula that uses the equal sign (=) to connect two statements and express equality. A mathematical statement that proves the equality of two mathematical expressions is known as an equation in algebra. For instance, the components 3x + 5 and 14 in the equation 3x + 5 = 14 are separated by an equal sign. The equal sign is a crucial part of mathematical formulas, especially equations. Algebra is frequently utilized in equations. Algebra is used in mathematics when it is difficult to determine a precise quantity.
Here,
Given: Some material has a length of 8.3 meters
We have provided a number, x, that has been rounded to two significant numbers with the supplied error.
Next, we must determine the x error interval.
It is necessary for x to have a value that is both bigger than or equal to 1250 and less than or equal to 1300.
i.e.,1250 ≤ x ≤ 1300 ---(1)
2. The value of x is more than 1300 but not equal to 1350.
1300 ≤ x ≤ 1350--- (2)
When (1) and (2) are combined, we obtain
1250≤ x ≤ 1350
As a result, 1350 is not part of the error-interval for x.
As a result, the interval notation is [1250, 1350].
As a result, the error range for x is [1250, 1350].
Therefore , the solution of the given problem of equation comes out to be the error range for x is [1250, 1350].
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A woman has 23 coins in her pocket, all of which are dimes and quarters. If the total value of the coins is $ 4.10, how many
dimes and how many quarters does she have?
Answer:
Step-by-step explanation:
there is 1 dime and 12 quarters
√xx − 2 = 7
a. 51
b. 27
c. 23
Answer: c=23
Step-by-step explanation: Honest guess
What is the greatest common factor of 24,40,32 A.1 B.2 C.4 D.8
Answer:
D. 8
Step-by-step explanation:
8*3=24
8*5=40
8*4=32
Of the 360 members of the kennel club who were
surveyed, 190 said they would try a new dog food.
If the kennel club has 2,100 members, how many
could be expected to try the new dog food?
I NEED HELP THIS IS DUE TOMORROW!!!
The ratio of the new area to the old area is 16:1. The correct option is the second option
Calculating the area of a circleFrom the question, we are to determine the statement that is true about the area of the circle.
First, we will determine the old area
Using the formula for calculating the area of a circle
A = πr²
Where A is the area
and r is the radius
From the given diagram,
r = 6 ft
Thus,
Old area = π × 6²
Old area = 36π ft²
Now,
If the radius is quadrupled
That is,
r = 4 × 6 ft
r = 24 ft
The new area will be
A = π × 24²
A = 576π ft²
The ratio of the new area to the old area is
576π ft² / 36π ft²
16 /1
= 16 : 1
Hence, the ratio is 16:1
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6 = x +2y solve for y
The Yellow Cab Company charges just $1.25 per mile, but it costs $6.00 to get in the cab. Express Cab charges no fee to get in the cab, but $2.00 per mile for the ride. For what number of miles is the cost the same?
Answer: 8 miles
Step-by-step explanation:
1.25m+6=2m
--1.25m. -1.25m
6=.75
6/.75m=8 mile
s
x +96 > 12 solving inequalities
The solution to the inequality expression is x > -84
How to determine the solution to the inequalityFrom the question, we have the following parameters that can be used in our computation:
x +96 > 12
Subtract 96 from both sides of the inequality expression
So, we have the following representation
- 96 + x +96 > 12 - 96
Evaluate the like terms
x > -84
Hence, the solution is x > -84
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A cereal box is designed to hold a volume of 4096 cubic centimetres of cereal.
What dimensions will minimize the cost of producing the box?
Answer:
Refer to the step-by-step
Step-by-step explanation:
To minimize the cost of producing the box, we would want the box to be a cube.
Where the volume, [tex]V=s^{3}[/tex], where s is the length of one side of the box.
We were given the value, [tex]V=4096 cm^{3}[/tex], plug this into the equation above so we can find the dimensions of the box...
[tex]4096=s^{3} = > s=\sqrt[3]{4096} = > s=16[/tex]
Thus the dimensions to minimize the cost of the production of the box would be 16cm by 16cm by 16cm.
3 pounds of peanuts for 7.50. how much is one pound
Answer: Ok to solve this question you would have to do $7.50 divided by
3 and your answer should come out to be $2.5 or $2.50 per each pound.
Step-by-step explanation:
$7.50 divided by 3 = 2.5
and with money if you get a $2.5 it would be $2.50 because you have to add the zero to the end of it.