The cracker manufacturer is trying to determine the best dimensions for the boxes to hold their product so that they use the least amount of cardboard.

A rectangular prism with length of 6 inches, width of 4 inches, and height of 12 inches. A rectangular prism with length of 7 inches, width of 6 inches, and height of 9 inches.

Which box uses less cardboard, and how much less cardboard does it use?
A. The box on the right uses 30 inches squared less cardboard.
B. The box on the left uses 30 inches squared less cardboard.
C. The box on the right uses 90 inches squared less cardboard.
D. The box on the left uses 90 inches squared less cardboard.

Answer:

The first answer is Surface Area and the second answer is Volume.

Step-by-step explanation:

Remember that Surface Area is the sum of ALL surfaces on a 3D shape. Volume is the amount of space of a three dimensional figure, which is measured in cubic units.

My Explanation:

The first one is surface area because the cube is a 3D shape and it is measured by 5in. The second one is volume because it has three dimensions: 15 inches by 12 inches by 3 inches and it is measured in cubic units.

I hope this answers your question! :)

Answer: Surface area, Volume

Step-by-step explanation:

Answer:

your two points would be 30 minutes and 15 miles then 60 minutes and 18 miles

Answer:

y = 1/2x+1

Step-by-step explanation:

Slope = Δy/Δx

The difference is y increases by 1 and difference in x increases by 2. So the slope is 1/2.

Slope-intercept form: y=mx+b

We take point (0,1) and input into this equation.

1= 1/2×0 +b

1 = b

Answer:

38.1 cm²

Step-by-step explanation:

area of full circle = π6² = 113.04 cm²

area of 150° segment = (150/360)(113.04) = 47.1 cm²

triangle base = sin 75° x 6 x 2 = 11.59

triangle height = cos 75° x 6 = 1.553

area of triangle = 1/2(11.59)(1.553) = 9 cm²

150° segment - triangle = 47.1 - 9 = 38.1 cm²

Answer:

1/2 > 3/8

Step-by-step explanation:

To compare the answers, we need to change them to the same denominator.

2x4=8

So we can create an equivent fraction of 1/2 by dividing both numbers by 4:

1x4=4

2x4=8

1/4=4/8

Now we are comparing 4/8 and 3/8, and we can see clearly that 4/8 is greater than 3/8 because 4 is greater than 3.

Hope this helped!

Answer:

Events A and B are dependent

Step-by-step explanation:

If A and B are two events such as A and B are dependent then

P(A∩B)  P(A) P(B)

An event A will occur with probability 0.4 that is  

An event B will occur with probability 0.6 that is  

The probability that both A and B will occur is 0.20 that is P(A∩B) = 0.20

Therefore,

P(A∩B)  P(A) P(B)

So,

events A and B are dependent

Answer:

1. y=1/4x+3

2. y=2x

3. y=-1/4x+9/2

4. I cannot solve 4 because there is not two point to solve fir slope intercept form

Answer:

y = x

Step-by-step explanation:

Answer:

y=x should be correct since both the x and y values are equal in the table.

Answer: B. Break even point=(0.01)(# of points)(P) / monthly savings

Step-by-step explanation: took the quiz.

The formula for finding the break-even point is: Break-even point = Fixed costs ÷ (Unit price - Variable costs per unit).

The break-even point is the point at which a company's total revenue from sales equals its total costs, resulting in a profit of zero. There is no profit or loss at the break-even point.

The formula for finding the break-even point is:

Break-even point = Fixed costs ÷ (Unit price - Variable costs per unit)

Where:

Thus, the break-even point is the point at which the total revenue from sales equals the total costs, so there is neither a profit nor a loss.

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Answer:

3 runners will be in the last group

Step-by-step explanation:

So first you need to divide the 819 runners into 6 different groups. Once you do this... you get a total of 136. So there are 136 runners in each of the 6 groups. However, once you get to the end of the division problem, there is a remainder of 3. These three stand for the last 3 runners. Giving you your answer.

I hope this helps you!!!

Answer:

2%

Step-by-step explanation:

Calculate annual interest amount first:

                annual interest x 9/12=21

                Annual interest =21x12/9

                 annual interest amount=$28

calculate annual interest rate

                1400 x interest rate = annual interest

               $1400 x interest rate = $28

                interest rate =$28/1400

                interest rate=.02 or 2%

Answer:Table 3 i think

Step-by-step explanation:

Answer: it’s c

Step-by-step explanation:

Just took it and it’s correct

The equation of graph of the transformed function is g ( x ) = ( x + 4 )² - 3

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units: y=f(x+c) (same output, but c units earlier)

Right shift by c units: y=f(x-c)(same output, but c units late)

Vertical shift:

Up by d units: y = f(x) + d

Down by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: y = k × f(x)

Horizontal stretch by a factor k: y = f(x/k)

Given data ,

Let the first function be represented as f ( x )

Now , the value of f ( x ) = x²

Let the second function be g ( x )

Now , the vertex of the function is at A ( -4 , -3  )

When the function is shifted left by 4 units and down by 3 units , we get

g ( x ) = ( x + 4 )² - 3

Hence , the transformed function is g ( x ) = ( x + 4 )² - 3 and the graph is plotted

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Answer: I think the answer might be 9.28.

Step-by-step explanation:

I was also confused with this question so I might be wrong.

Using the information provided above I was able to conclude that two possible equations you can form is A+B=17.18, where there is only 1 stock from company A and 1 stock from company B. The other equation is 52A+65B=1,014 since this is the total amount she spend on the stocks.

You can use Desmos to graph both of the equations or solve it by hand. If solving it by hand chose which method you wanna use wether it is elimination or substitution. (I would explain the process, but I am lazy)

ANYWAYS HOPED THIS HELPED :)

Answer:

11. m=-1/4 b=5 equation is y=-1/4x+5

12.m=4/3 b=0 equation is y=4/3x

Step-by-step explanation:

Answer:

41 degrees

Step-by-step explanation:

All three angles in a triangle must add up to 180 degrees. The picture already tells you that B is 63 degrees. This means A and C should both add up 117 degrees. If A is 2x+8 and B is x+7, then A+B is 3x+15. This means that 3x+15 is equal to 117 degrees.

Now that we know that x is 34, we plug it in. X + 7 becomes 34 + 7 degrees which is equal to 41 degrees.

Answer:

37 1/8

Step-by-step explanation:

The problem probably assumes direct variation

y=kx

IF so, then plug in the values and solve for k

27=k(8)

k = 27/8

y= (27/8)x.  Now let x = 11

y = (27/8)11 = 27(11)/8 = 37.125 = 37 1/8

y = 37 1/8

the problem is making some assumption about the relation between x and y.  The simplest assumption that's likely is direct variation,  that x and y are linearly related.  The graph is a straight line through the origin with slope = 27/8

Answer:

3 points

Step-by-step explanation:

3 is very different from the other numbers, so it is an outlier.

Answer:

3 points (Clearly because if you put it on a number line, this one would be far away from the other numbers)

Answer:

32 and 58.

Step-by-step explanation:

complementary angles add up to 90.

26+x=y

x+y=90

plug y=26+x into the above equation

x+26+x=90

2x=64

x=32

The angles are 32 and 58.

Answer:

$64.89

Step-by-step explanation:

57.68 + 1.25 × 57.68

= 57.68 + 72.1

= 129.78

The original price was $129.78.

129.78 – 0.50 × 129.78

= 129.78 – 64.89

= 64.89

The discount price was $64.89.

Answer:

$64.89

Step-by-step explanation:

Answer:

it is a triangles because the other are the name of the triangle.

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

[tex]\sqrt{16}[/tex] = 4

Answer:

4.

Step-by-step explanation:

The square root of 17 is 4.12...

square root of 16 is 4

Answer:

17

Step-by-step explanation:

Pythagorean theory baby! Okay so the Pythagorean theory is a² + b² = c² so lets draw a triangle and label our sides. So we know 8² + 15² = c² so I'm going to find the square root of all of our numbers. We get 64 + 225 = c² so then add 64 + 225 = 289 then I take the square root of 289 which equals 17 . This answer also makes sense because out hypotenuse should always be bigger then the legs.

I'm pretty sure thats right, Hope this helps.

Answer:

the answer is A just tool the quiz lesson 5 hyperbolas Algebra 2B unit 5 these are the correct answers

1.A

2.B

3.D

4.A

5.B

6.D

7.A

hopes this helps everyone

The hyperbola has two vertices at (-2,0) and (2,0)

We have given that the equation

[tex]\frac{x^2}{4}-\frac{y^2}{9}=1[/tex]

[tex]\frac{x^{2} }{a^2}+\frac{y^2}{b^2} =1[/tex]

Compare the above equation of the hyperbola with given equation

therefore a=2

vertices are (-a,0) and (a,0)

Therefore the vertices are (-2,0) and (2,0)

See the graph of the hyperbola in link given below.

The hyperbola has two vertices at (-2,0) and (2,0)

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