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3 years ago

6

A rectangle's length and width are in a ratio of 8:3. The area is 384 square millimeters. What are the length and width?

1 answer:

tatiyna3 years ago

8 0

Let, the length = 8x
width = 3x
Now, 8x * 3x = 384
24x² = 384
x² = 384/24
x² = 16
x = √16
x = 4

So, length = 8(4) = 32 & Width = 3(4) = 12

It's dimension would be 32 × 12 mm

Hope this helps!

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PLEASE HELP!!!!!PLEASE.

alisha [4.7K]

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3 years ago

One container is filled with mixture that is 25% acid. A second container is filled with a mixture that is 55% acid. The second

algol13

Answer:

Therefore the third container contains $\frac{735}{17}\%$ = 43.23 % acid.

Step-by-step explanation:

Given that, One container is filled with the mixture that 25% acid. 55% acid is contain by second container.

Let the volume of first container be x cubic unit.

Since the volume of second container is 55% larger than the first.

Then the volume of the second container is

$= (V\times \frac{100+55}{100})$ cubic unit.

$=\frac{155}{100}V$ cubic unit.

The amount of acid in first container is

$=V\times \frac{25}{100}$ cubic unit.

$=\frac{25}{100}V$ cubic unit.

The amount of acid in second container is

$=(\frac{155}{100}V \times \frac{55}{100})$ cubic unit.

$=\frac{8525}{10000}V$ cubic unit.

Total amount of acid $=(\frac{25}{100}V+\frac{8525}{10000}V)$ cubic unit.

$=(\frac{2500+8525}{10000}V)$ cubic unit.

$=(\frac{11025}{10000}V)$ cubic unit.

Total volume of mixture $=(V+\frac{155}{100}V)$ cubic unit.

$=\frac{100+155}{100}V$ cubic unit.

$=\frac{255}{100}V$ cubic unit.

The amount of acid in the mixture is

$=\frac{\textrm{The volume of acid}}{\textrm{The amount of mixture}}\times 100 \%$

$=\frac {\frac{11025}{10000}V}{\frac{255}{100}V}\times 100\%$

$=\frac{735}{17}\%$

Therefore the third container contains $\frac{735}{17}\%$ acid.

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3 years ago

What is the range of the linear parent function?

sasho [114]

Answer:

A. All real numbers

Step-by-step explanation:

We assume that the "linear parent function" is ...

y = x.

Its range is "all real numbers."

7 0

3 years ago

What are the measurements of the two angles in the figure below?

IgorC [24]

Both angles need to equal 180 degrees .

Add them together:

2x +10 + 3x-5 = 180

5X +5 = 180

Subtract 5 from each side:

5x = 175

Divide both sides by 5:

X = 175 / 5

X = 35

Now replace X with 35 in each equation:

2x +10 = 2(35) +10 = 70 +10 = 80

3x-5 = 3(35) - 5 = 105 -5 = 100

The answer is A. 80 and 100

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