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Mrs. Davis bought 6 pounds of grapes for $18. At this rate, how much would 72 ounces of grapes have cost?

Sergio [31]

Answer:

Step-by-step explanation:

1 pound = 16 ounce

6 pound = 6 * 16 = 96 ounces

Cost of 96 ounces of grapes = $18

Cost of 1 ounce of grape = 18/96

Cost of 72 ounces of grape = 18*72 / 96 = 27/2

= $13.50

Or

Direct Proportion because is weight increase, the cost will increase

96:18 = 72 : x

Product of means = Product of extremes

18*72 = x*96

18*72/96 = x

x =$13.50

8 0

3 years ago

Read 2 more answers

The length of a rectangular garden is 6 more than its width. If the perimeter is 32 feet, what is the width and the area of the

PolarNik [594]

Answer:

${\fbox{ \sf{Width \: of \: a \: rectangular \: garden \: = 5 \: feet}}}$

$\boxed{ \sf{ \: Area \: of \: a \: rectangular \: garden = 55 {ft}^{2}}}$

Step-by-step explanation:

$\star$ Let the width of a rectangular garden be 'w'

$\star$ Length of a rectangular garden = 6 + w

$\star$ Perimeter of a rectangular garden = 32 feet

 $\longrightarrow$ Finding the width of a rectangular garden :

$\boxed{ \sf{ \: Perimeter \: of \: a \: rectangle \: = \: 2(length + width}}$

$\mapsto{ \text{32 = 2(6 + w + w)}}$

$\text{Step \: 1 \: : Collect \: like \: terms}$

Like terms are those which have the same base

$\mapsto{ \text{32 = 2(6 + 2w) }}$

$\text{Step \: 2 \: : Distribute \: 2 \: through \: the \: parentheses}$

$\mapsto{ \text{32 = 12 + 4w}}$

$\text{Step \: 3 \: : Swap \: the \: sides \: of \: the \: equation}$

$\mapsto{ \text{4w + 12 = 32}}$

$\text{Step \: 4 \: : Move \: 12 \: to \: right \: hand \: side \: and \: change \: its \: sign}$

$\mapsto{ \text{4w = 32 - 12}}$

$\text{Step \: 5 \: : Subtract \: 12 \: from \: 32}$

$\mapsto{ \sf{4w = 20}}$

$\text{Step \: 6 \: : Divide \: both \: sides \: by \: 4}$

$\mapsto{ \sf{ \frac{4w}{4} = \frac{20}{4}}}$

$\text{Step \: 7 \: : Calculate}$

$\mapsto{ \text{w = 5}}$

Width of a rectangular garden = 5 feet

$\longrightarrow$ Substituting / Replacing the value of w in 6 + w in order to find the length of a rectangular garden

$\mapsto{ \sf{Length = 6 + w = 6 + 5 = \bold{11 \: feet} }}$

$\longrightarrow$ Finding the area of a rectangular garden having length of 11 feet and width of 5 feet :

$\boxed{ \sf{Area \: of \: a \: rectangle = length \:∗ \: width}}$

$\mapsto{ \text{Area \: = \: 11 \: ∗ \: 5}}$

$\mapsto{ \sf{Area \: = 55 \: {ft}^{2} }}$

Area of a rectangular garden = 55 ft²

Hope I helped!

Best regards! :D

~ $\sf{TheAnimeGirl}$

6 0

2 years ago

There are 8 pencils in a package. How many packages will be needed for 28 children if each child gets 4 pencils?

lisov135 [29]

First, lets figure out how many pencils we will need. so we can do that by 4 pencils x 28 children and we get 112. Then if there are 8 pencils in a package, we divide 112 by 8 and get 14

4 0

2 years ago

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Can you describe multiplying and dividing signed numbers in the real world? plz Explain

elena-14-01-66 [18.8K]

The example I would be using is the level of a see-saw and take a point 1 /x of the way amid the middle and the left end. If you change the point vertically by f feet, the far right finish transfers vertically by f×−x feet. If you push down, f would be negative then you are multiplying two negative numbers for a positive result, this means that the other end moves up.

7 0

2 years ago

The solid below is made from cubes. Find its volume.

natali 33 [55]

Answer:

I believe its 30 yards

Step-by-step explanation:

volume = 3×5×2 = 30

6 0

2 years ago

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