Ryan has nine 14-ounce bags of popcorn to repackage and sell at the school fair. A small bag holds 3 ounces. How many small bags can he make?

Answers

Answer 1

Answer: 42 small bags

14*9 = 126
126/3 = 42

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I have been stuck with this one, and i would like to how to solve this.In each case, determine whether line AB is parallel or perpendicular to CD.
(a) A(0, 0), B(0, 1), C(0, 0), D(1, 0).
(b) A(0, 1), B(2, 3), C(4, 5), D(6, 7).

Answers

a) AB is parallel CD from graphic;
b) m AB = (3-1)/(2-0) => m AB = 1; m CD = (7-5)/(6-4) => m CD = 1 => m AB = m CD => AB is parallel CD;

A manufacturer wants to make a box with a volume of 24 cubic feet.a. Sketch two possible designs for the box.

b. If the box is to be made out of wood that costs $4 per square foot, which of your designs would be less expensive to produce? Explain.

Answers

First: You should know the formulas for volume and surface area of a rectangular prism.
$V=whl$
$SA=2wl+2wh+2hl$

Now, if our volume is 24 ft³, then the 3 dimensions of the box must multiply to make 24. We want to make two designs, so let's think of some possible dimensions.
Let's say...2 × 2 × 6 and 2 × 3 × 4.
You should be able to sketch boxes and label the sides. Just draw two rectangles and draw lines between all of the points. (see attached for reference)

Now all we have to do is find the surface area. Plug in our width, length, and height and solve.
First box
SA = 2wl + 2wh + 2hl
SA = 2×2×2 + 2×2×6 + 2×2×6
SA = 8 + 24 + 24
SA = 56
Second box
SA = 2wl + 2wh + 2hl
SA = 2×2×3 + 2×2×4 + 2×3×4
SA = 12 + 16 + 24
SA = 52

At $4 / ft²...
56 ft² = $224
52 ft² = $208

The second box is less expensive to produce because it has less surface area and therefore less wood needed to build the sides of the box.

In 5,550 the second five is in the hundreds place. Its value is?

Answers

Its value would 500, I hope this helped you

The value of the second 5 in the hundred place is 500

How many times does 3 go into 31

Answers

3 goes into 31, 10 times with a remainder of 1. The remainder refers to the amount left over after dividing one number by another. When we perform division, the remainder is the part that does not fit evenly into the divisor.

To find out how many times 3 goes into 31, we need to divide 31 by 3. The quotient refers to the result of dividing one number by another. It is the answer or the result obtained when you perform the division operation.

When we divide 31 by 3, we get a quotient of 10 with a remainder of 1. So, 3 goes into 31, 10 times with a remainder of 1.

Alternatively, we can express this as: 31 ÷ 3 = 10 remainder 1

Therefore, 3 goes into 31, 10 times with a remainder of 1.

In mathematics, the quotient is the result or the answer obtained when dividing one number by another. It represents the number of equal parts the dividend can be divided into.

Learn more about Quotient here:

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Do 31÷3= 10 Remainder 1

So it goes into 10 times.

Variable y varies directly with variable x, and y = 48 when x = 8. What is the value of y when x = 4?

y =

Answers

y/x=k 48/8=6=k k is the constant y/4=6 y=24

Final answer:

To find the value of y when x = 4 in a direct variation equation, we first solve for the constant of variation, k. Once we have k, we can substitute x = 4 into the equation and solve for y.