A manufacturer of breakfast cereals is considering the following two designs for cereal boxes.


The manufacturer wants to pick the package that will use the least cardboard packaging for a given volume of cereal.

Calculate the surface area and volume of each cereal box. Which one should the manufacturer use?

The manufacturer should use Box _______.

Answer:

[tex] \frac{5}{100} \times \frac{30}{1} [/tex]

Rounding to the nearest whole number involves writhing out the value of a number to the nearest integer value. Hence, the number would be written as 6

Therefore, the number would be written as 6 (nearest whole number).

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Answer:

Steve

Step-by-step explanation:

32 ounces for $4.48 each = $143.36 for 32 ounces

24 ounces for $3.84 each = $92.16 for 24 ounces

Steve's cereal is more expensive.

If you wanted to know how much each ounce cost and determine your answer:

Steve's cereal is still more expensive.

Answer:

-3 would be the coldest. Colder room temperatures fall below 0, and -3 is the lowest number

Step-by-step explanation:

Answer:47

Step-by-step explanation:

that is a 90 degree angle and FGJ is already 43 so subtract 90 from 43 and you will get the angle for JGH which is 47

Answer:

Step-by-step explanation:

In order to determine if James and Paco earn different amounts of money per hour, you must find how much money they make in one hour.

James:

James makes $35.40 in 3 hours. So, in 1 hour, he would make 35.40/3 = 11.8.

James makes $11.80 an hour.

Therefore, his equation would be d = 11.8h

Paco:

Paco makes $24.00 in 2 hours. So, in 1 hour, he would make 24/2 = 12.

Paco makes $12.00 an hour.

Therefore, his equation would be d = 12h

Hence, Paco and James make different amounts of money. Paco makes 20 cents, or $0.20, more than James.

Answer:

d(James) = 11.8h

d(Paco) = 12h

Paco makes $0.20/h more than James

Step-by-step explanation:

equation: y = ax + b

James:

d(Amount of money earned) = ah(number of hours worked) + b

If James worked 3 hours: 3a + b = 35.4

If James worked 5 hours: 5a + b = 59

If

3a + b = 35.4

b = 35.4 - 3a

Then

5a + b = 59

5a + 35.4 - 3a = 59

2a = 59 - 35.4

2a = 23.6

a = 23.6/2

a = 11.8

If a = 11.8, then

3a + b = 35.4

3(11.8) + b = 35.4

35.4 + b = 35.4

b = 0

If a = 11.8 and b = 0

d(Amount of money earned) = ah(number of hours worked) + b

d = 11.8h

Each hour James works, he makes $11.8

Paco:

d(Amount of money earned) = ah(number of hours worked) + b

If Paco worked 2 hours: 2a + b = 24

If Paco worked 4 hours: 4a + b = 48

If

2a + b = 24

b = 24 - 2a

Then

4a + b = 48

4a + 24 - 2a = 48

2a = 48 - 24

2a = 24

a = 24/2

a = 12

If a = 12, then

2a + b = 24

2(12) + b = 24

24 + b = 24

b = 24 - 24

b = 0

If a = 12 and b = 0

d(Amount of money earned) = ah(number of hours worked) + b

d = 12h

Each hour Paco works, he makes $12

Answer:

800

Step-by-step explanation:

176 divided by 22=8

8x100= 800

It will take 13.33 hours to battery run out.

A unit rate means a rate for one of something.

Given that, A cell phone battery with 22% charge takes 176 minutes to run out.

In 22% → 176 minutes

In 1% → 176/22 = 8 minutes

In 100% → 8x100 = 800 minutes

800 minutes = 800/60 = 13.33 hours.

Hence, the battery will work for 13.33 hours when charged 100%

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Answer:

a

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

80X2 because you have to know how much it will take to get from to home

Answer:

A:(4,2) B:(1,2) C:(1,3)

Step-by-step explanation:

During a rotation 90 degrees ccw the points go from (x,y) to (-y,x)

Answer:

Bottom right

Step-by-step explanation:

All angles different, and all angles are smaller than 90 degrees

Answer:

D

Step-by-step explanation:

Both scalene and Acute

Answer

this is an ex: 2/3>1/3 i hope this helps a.= 10/9s is bigger so put < and b.= 5/4s is bigger so do >

Step-by-step explanation:

Answer:

5x - 3x = 10

2(2x - 1) = 46

6x - 15 = 75

x+(x - 10) = 26

Step-by-step explanation:

5x - 3x = 10

2x = 10  Divide by 2

x=5

2(2x - 1) = 46   Distribute the 2

4x - 2 = 46  Add 2

4x = 48  Subtract by 4

x = 12

6x - 15 = 75  Add 15

6x = 90  Divide by 6

x=15

x + x - 10 =26  Add the x's together and the 10

2x = 36  Divide by 2

x = 18

not my work

Answer:

26>42+1/2=100

Step-by-step explanation:

hoppe this help

Answer:

16 feet

Step-by-step explanation:

It's a 2 Similar Triangles So, apply proportion to their sides

[tex]S=5*\frac{4}{1.25} =16feet[/tex]

Answer:

80 degrees

Step-by-step explanation:

the lines indicate that the angles F and E are the same degree.

Answer:

3x5

Step-by-step explanation:

Answer:

2346

Step-by-step explanation:

Answer:

NW, Hope this helped!

3.17, because there are about 1.056 quarts in one liter.

1.056 times 3 = 3.168, which, rounded to the nearest hundredth, is 3.17.

hope this help :)

After rounding off the obtained value, the value obtained in quarts will be equal to 3.17 qt.

The act of simplifying a number so that its value remains near to what it was is known as rounding. The outcome of rounding off a figure is less precise but simpler to utilize. They directly involve if a number's digits are taken into account while rounding it.

As per the given information in the question,

As we know,

1 liter = 1.057 quarts

Then, the number of quarts in 3 L will be equal to,

3 × 1.057

= 3.171 ≈ 3.17 qt

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This question seems incomplete, the complete question may be:

Complete the statement. Round to the nearest hundredth if necessary. 3 L ≈ qt

Answer:

$23.54

Step-by-step explanation:

12.95+2.76+7.83=23.54

Answer:

Step-by-step explanation:

First, you should find the angle x because it will help in solving the angle y. A straight line adds up to 180 degrees, therefore x+y = 180

For the triangle on the left, sum up the angles and set it to 180 degrees.

60 + 38 + x = 180

x = 82 degrees

Now solve for y by doing this

82 + y = 180

y = 98 degrees

While I'm here, Ill solve for z because it will most likely ask in the next question.

26 + 98 + z = 180

z = 56 degrees

Answer:

1152 ft^2

Step-by-step explanation:

There are 7 faces on this solid.

I will label the faces and will calculate each area with an explanation.

Faces 1 and 2:

The front face and the back face are congruent and have 5 sides each. Each face is a rectangle with a triangle above it. The lower rectangular part has dimensions 9 ft by 12 ft. The triangle above the rectangle has base 9 ft and height 16 ft - 12 ft = 4 ft.

Each face is a rectangle and a triangle.

area = area of rectangle + area of triangle

area = LW + bh/2

area = 9 ft * 12 ft + 9 ft * 4 ft/2 = 108 ft^2 + 18 ft^2 = 126 ft^2

This is area of of face 1, the front face. Face 2, the rear face has the same area.

A1 = 126 ft^2

A2 = 126 ft^2

Face 3: The bottom of the solid is a rectangle measuring 9 ft by 20 ft

area = LW

area = 9 ft * 20 ft = 180 ft^2

A3 = 180 ft^2

Faces 4 and 5:

The left vertical face and the right vertical face are congruent rectangles measuring 12 ft by 20 ft.

area = LW

area = 12 ft * 20 ft = 240 ft^2

A4 = 240 ft^2

A5 = 240 ft^2

Faces 6 and 7 are the top right and left inclined rectangles. They are congruent, and each one has dimensions 6 ft by 20 ft.

area = LW

area = 6 ft * 20 ft = 120 ft^2

We need 2 of these area.

A6 = 120 ft^2

A7 = 120 ft^2

total surface area = A1 + A2 + A3 + A4 + A5 + A6 + A7

total surface area = 126 ft^2 + 126 ft^2 + 180 ft^2 + 240 ft^2 + 240 ft^2 +  120 ft^2 + 120 ft^2

total surface area = 1152 ft^2

Answer:

3 2/5

Step-by-step explanation:

Answer:

3 [tex]\frac{2}{5}[/tex]

Step-by-step explanation:

Answer: EQUATION: p-6=-14 ANSWER: p=-8

Step-by-step explanation:

Just simply add 6 to both sides so p can be by by itself. -14+6=-8

Hope this helped you! ^_^

Answer:

x + 1/4

Step-by-step explanation:

Answer:

X + 1/4

Step-by-step explanation:

id k I used mathpapa. it's a website for algebra.