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maksim [4K]
3 years ago
10

What are a) the ratio of the perimeters and b) the ratio of the areas of the larger figure to the smaller figure? The figures ar

e not drawn to scale.
5/2 and 25/4
5/2 and 7/4
7/2 and 25/4
7/2 and 7/4

Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
8 0

Answer: 5/2 and 25/4

Step-by-step explanation:

6x5=30

6x2=12

...

say these were perfect squares,

12x12= 144

30x30= 900

900/144 = 25/5

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Let 'a' be the number of ounces of 2%-solution in the 25-ounce mixture

and 'b' be the number of ounces of 5%-solution in the 25-ounce mixture.

Since, fluid ounces of each concentration should be combined to make 25 fl oz.

So, a+b=25 (Equation 1)

And, a container of 2% acid solution and a container of 5% acid solution should be combined to make 25 fl oz of 3.2% acid solution.

So, a of 2% + b of 5% = 3.2% of 25

(a \times \frac{2}{100})+(b \times \frac{5}{100})= 25 \times \frac{3.2}{100}

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Multiplying the above equation by 100, we get

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Substituting the value of a=25-b in equation 2, we get

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Since, a=25-b

a= 25-10

a=15.

So, 15 fluid ounces of 2% solution combined with 10 ounces of the 5% solution to create a 25-ounce mixture at 3.2% concentration of acid.

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