Mathematics: The table shows the amount that each person spend on snacks, games, and souvenirs the las time they went to the carnival. sinea- snacks $5/ games $8/ souvenirs $12 ren- snacks $10/ games $8/ souvenirs $20 a. siena wants to spend money using the same ratios as on her last trip to the carnival. if she spends $26 on games, how much will she spend on souvenirs? b. ren wants to spend money using the same ratios as on his last trip to the carnival. if he spends $5 on souvenirs, how much will he spend

The table shows the amount that each person spend

Ответ:

jaycobgarciavis

30.12.2021

This is a problem of proportions. The initial data gives you the ratios, then you can use them to build proportions for each case. A. Siena's game to souvenier ratio is 8/12 then you can build the proportion: 8/12 = 26/x and solve for x: x = 26*12/8 = 17.33 B. Ren's souvenier to snacks ratio is 20 / 10, the the proportion is 20 / 10 = 5 / x => x = 5 * 10 / 20 = 2.5

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Ответ:

katie673

26.04.2023

Mathematics

$\frac{1}{125}$

Step-by-step explanation:

The given expression is

$(5^{-2}) (5^{-1})$

The expression is about two powers with the same base, so we can use the power property of multiplication, which states that we must proceed we writing only one base and sum exponents

$(5^{-2}) (5^{-1})=5^{-2-1}=5^{-3}$

Then, we use the negative exponent property

$5^{-3}=\frac{1}{5^{3} }$

Finally, we solve the power

$\frac{1}{5^{3} }=\frac{1}{125}$

Therefore, the given expression is equivalen to $\frac{1}{125}$ .

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