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3 years ago

How many 3/8 cup servings are in a pitcher containing 6 3/4 cups of orange juice

Mathematics

1 answer:

ad-work [718]3 years ago

4 0

Do the division:-

6 3/4 / 3/8

= 27/4 / 3/8

= 27/4 * 8/3

= 9 * 2

= 18 (answer)

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Question:

aivan3 [116]

Answer:

part A) The scale factor of the sides (small to large) is 1/2

part B) Te ratio of the areas (small to large) is 1/4

part C) see the explanation

Step-by-step explanation:

Part A) Determine the scale factor of the sides (small to large).

we know that

The dilation is a non rigid transformation that produce similar figures

If two figures are similar, then the ratio of its corresponding sides is proportional

Let

z ----> the scale factor

$\frac{CB}{C'B'}=\frac{CD}{C'D'}=\frac{BD}{B'D'}$

The scale factor is equal to

$z=\frac{CB}{C'B'}$

substitute

$z=\frac{4}{8}$

simplify

$z=\frac{1}{2}$

Part B) What is the ratio of the areas (small to large)?

<em>Area of the small triangle</em>

$A=\frac{1}{2}(2)(4)=4\ units^2$

<em>Area of the large triangle</em>

$A=\frac{1}{2}(4)(8)=16\ units^2$

ratio of the areas (small to large)

$ratio=\frac{4}{16}=\frac{1}{4}$

Part C) Write a generalization about the ratio of the sides and the ratio of the areas of similar figures

In similar figures the ratio of its corresponding sides is proportional and this ratio is called the scale factor

In similar figures the ratio of its areas is equal to the scale factor squared

4 0

3 years ago

Please help and I'll love you foreverrrrr no joke!!!

spin [16.1K]

Only like sedans: 25- 15 = 10

Only like hatchbacks: 40-15 = 25

Like both: 15

Like none of them: 100-10-25-15 = 50

Dislike sedans: 100 - 10-15 = 75

Dislike hatchbacks: 100-25-15 = 60

So dislikes: sedans>hatchbacks

4 0

3 years ago

A total of 697 tickets were sold for the school play. They were either adult tickets or student tickets. There were 53 fewer stu

Burka [1]

Let x = number of adult tickets sold
Let x-53 = number of student tickets sold

x + x -53 = 697
2x - 53 = 697.

Add 53 to both sides to get:

2x = 750

Divide both sides by 2 to get:

x = 375

375 adult tickets were sold.

5 0

3 years ago

Which statement is always true?

Goshia [24]

I’m pretty sure A is true <3

6 0

2 years ago

Which phrase best describes a rock? A. a chemical arranged in a lattice B. a gabbro of minerals C. a mixture of crystals D. a fi

Sloan [31]

The answer would be B to answer your question

6 0

3 years ago

Read 2 more answers