Answer:
900 is the correct awnser
Answer:
x = 25
Step-by-step explanation:
We are given a word phrase:
In the proportion x over 5 equals 15 over 3 , which number is equal to x in the proportion?
So we will translate it to make it easier to solve.
Proportion x over 5 --->
equals ---> =
15 over 3 --->
Combining them, we get:
Solving this for x using cross multiplication:
Ruby eats two slices of pie
Fraction generally represents a part of the whole. The number present in the upper side is called as numerator and the number present below is called as denominator. Fraction can also be represented as a decimal or percentage when required.
Fraction of pie Ruby ate = 1/5
Number of slices present in the pie = 10
numerical value of a fraction = fraction x total number
So, total number of slices of pie that Ruby ate = 10 x 1/5 = 2
Therefore, Ruby eats two slices of pie.
Ruby ate 1/5 of a pie and if there was 10 slices of pie, it implies Ruby eats two slices of pie.
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The equivalent expression is seven-fifths squared times one-third cubed. Then the correct option is D.
<h3>What is an equivalent expression?</h3>
The equivalent is the expression that is in different forms but is equal to the same value.
Five-sevenths squared times one-third raised to the power of negative three all raised to the power of negative one.
Convert the sentence into numerical form.
![\rm \rightarrow \left [ \left (\dfrac{5}{7} \right )^2 \times \left ( \dfrac{1}{3}\right )^{-3} \right ] ^{-1}](https://tex.z-dn.net/?f=%5Crm%20%5Crightarrow%20%5Cleft%20%5B%20%5Cleft%20%28%5Cdfrac%7B5%7D%7B7%7D%20%5Cright%20%29%5E2%20%5Ctimes%20%5Cleft%20%28%20%5Cdfrac%7B1%7D%7B3%7D%5Cright%20%29%5E%7B-3%7D%20%5Cright%20%5D%20%5E%7B-1%7D)
Simplify the expression, then we have
![\rm \rightarrow \left [ \left (\dfrac{7}{5} \right )^{2} \times \left ( \dfrac{1}{3}\right )^{3} \right ]](https://tex.z-dn.net/?f=%5Crm%20%5Crightarrow%20%5Cleft%20%5B%20%5Cleft%20%28%5Cdfrac%7B7%7D%7B5%7D%20%5Cright%20%29%5E%7B2%7D%20%5Ctimes%20%5Cleft%20%28%20%5Cdfrac%7B1%7D%7B3%7D%5Cright%20%29%5E%7B3%7D%20%5Cright%20%5D)
The equivalent expression is seven-fifths squared times one-third cubed. Then the correct option is D.
More about the equivalent link is given below.
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Answer:
Step-by-step explanation:
