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Darya [45]
3 years ago
15

How do we figure this out

Mathematics
1 answer:
lisov135 [29]3 years ago
8 0

Answer:

Pair 1: 10 cm and 2 cm. and the sum is 12 cm.

Pair 2: 20 cm and 4 cm. and the sum is 24 cm.

Step-by-step explanation:

Area of a rectangle is given by A = LW, where L is the length and W is the width of the rectangle.

Pair 1:

For the first rectangle W = 4 cm and A = 40 sq, cm

Then L = \frac{A}{W} = \frac{40}{4} = 10 cm.

For the second rectangle W = 4 cm and A = 8 sq, cm

Then L = \frac{A}{W} = \frac{8}{4} = 2 cm.

Therefore, the sum of two unknown lengths = 10 + 2 = 12 cm. (Answer)

Pair 2:

For the first rectangle W = 4 cm and A = 80 sq, cm

Then L = \frac{A}{W} = \frac{80}{4} = 20 cm.

For the second rectangle W = 4 cm and A = 16 sq, cm

Then L = \frac{A}{W} = \frac{16}{4} = 4 cm.

Therefore, the sum of two unknown lengths = 20 + 4 = 24 cm. (Answer)

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Jackson used 8/9 of a case of soda to fill 1/3 of the soda machine.
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Answer:

1.524

Step-by-step explanation:


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4 0
4 years ago
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Finger [1]

Answer:

Given expression : \frac{9}{4}-2(4x+\frac{4}{3} )+\frac{5}{2}x    ......[1]

Using distributive property:  a\cdot (b+c) =a\cdot b + a\cdot c

[1]⇒   \frac{9}{4} - 2(4x) - 2(\frac{4}{3})+\frac{5}{2} x

Simplify:

\frac{9}{4} - 8x - \frac{8}{3}+\frac{5}{2}x

Like terms are those terms which are same variables.

Combine like terms: we get;

(\frac{9}{4} - \frac{8}{3}) - 8x + \frac{5}{2}x            ......[2]

\frac{27-32}{12} -8x +\frac{5}{2} x

Simplify:

\frac{-5}{12} -8x +\frac{5}{2}x  

or

\frac{-5}{12} - \frac{11}{2}x  

we can write equation [2] as;

\frac{27}{12} - \frac{8}{3} - 8x + \frac{5}{2}x

Combine like terms of x variables;

\frac{27}{12} - \frac{8}{3} - \frac{11}{2}x

Therefore, the expressions which are equivalent to the Given expression are:

\frac{9}{4} - 2(4x) - 2(\frac{4}{3})+\frac{5}{2} x

\frac{-5}{12} -8x +\frac{5}{2}x  

\frac{27}{12} - \frac{8}{3} - \frac{11}{2}x

\frac{-11}{2}x - \frac{5}{2}





3 0
3 years ago
Jody has 4 red marbles, 6 blue marbles, and 9 yellow marbles. What is the ratio of red marbles to blue marbles?
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Answer:

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Step-by-step explanation:

First, create the ratio by putting the numbers together:

There are 4 red and 6 blue marbles:

4:6

Since both of these are divisible by 2, it can be simplified:

4:6

2:3

So, the ratio of red marbles to blue marbles is 2:3

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