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konstantin123 [22]
3 years ago
13

Josiah used the distributive property to simplify the multiplication problem 9 × 4.7. Which of the following statements is true

about his work? 9 × 4.7 9 × (4 + 0.7) 9 × 4 + 9 × 0.7 36 + 9 × 0.7 36 + 0.63 36.63 He did everything correctly. He A. didn't follow the order of operations. He added 36 and 0.63 incorrectly.B. He multiplied 9 and 0.7 incorrectly.He did everything correctly.
C.He didn't follow the order of operations.
D.He added 36 and 0.63 incorrectly.
E. He multiplied 9 and 0.7 incorrectly.
Mathematics
1 answer:
zaharov [31]3 years ago
3 0

Answer:

E. he multiplied 9 and 0.7 incorrectly.

Step-by-step explanation:

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The r% of a quantity x is computed by dividing x in 100 parts, and considering r of such parts. So, the r% of the male is

30\times\cfrac{r}{100} = 0.3 r

and similarly, the r% of female is

20\times\cfrac{r}{100} = 0.2 r

The number of males decreased by this quantity, so now it is

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and the number of female increased by this quantity, so now it is

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we know that these two new counts are the same number, so we can build and solve the equality

30 - 0.3r = 20+0.2r

Subtract 20 and add 0.3r from both sides:

10 = 0.5r

Divide both sides by 0.5 to solve for r:

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Let's check the answer

The 20% of 30 is 30 \times \frac{20}{100} = 6, while the 20% of 20 is 4. So, we are stating that 30-6 = 20+4 which is true because both expressions evaluate to 24.

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Step-by-step explanation:

To do this, it is helpful to get an equation you can use to solve any term.

This equation is:

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