30 points WILL GIVE BRAINLIEST help please

Mathematics

1 answer:

Gennadij [26K]3 years ago

5 0

Answer:

Step-by-step explanation:

It is 0 due to indirect variation

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There are 3 grams of sugar in 1.2 cups of strawberries. How many cups of strawberries are needed to get 5 grams of sugar?

Verdich [7]

Answer:

2 cups

Step-by-step explanation:

Since 1.2 cups of Strawberries gives you 3 grams of sugar, doubling the amount of strawberries would be too much, 6 grams. But, since the amount needed is 2 grams, that is 2/3 of 1.2 cups of strawberries. 2/3 of 1.2 is 0.8, so add the original amount of srawberries with 2/3 of the 1.2 cups and you get 1.2 cups+ 0.8 cups= 2 cups

3 0

3 years ago

Simplify this equation please <br> (16a^8/c^12)^1/4

Tcecarenko [31]

Answer:

$\large\boxed{\left(\dfrac{16a^8}{c^{12}}\right)^\frac{1}{4}=\dfrac{2a^2}{c^3}}$

Step-by-step explanation:

$\left(\dfrac{16a^8}{c^{12}}\right)^\frac{1}{4}\qquad\text{use}\ \left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}\ \text{and}\ (a^n)^m=a^{nm}\ \text{and}\ (ab)^n=a^nb^n\\\\=\dfrac{(2^4a^8)^\frac{1}{4}}{(c^{12})^\frac{1}{4}}=\dfrac{(2^4)^\frac{1}{4}(a^8)^\frac{1}{4}}{c^{12\cdot\frac{1}{4}}}=\dfrac{2^{4\cdot\frac{1}{4}}\cdot a^{8\cdot\frac{1}{4}}}{c^3}=\dfrac{2^1\cdot a^2}{c^3}=\dfrac{2a^2}{c^3}$