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3 years ago

Cheryl solved a problem: 84 ÷ 0.01 = 8,400.

Mathematics

1 answer:

Alexandra [31]3 years ago

7 0

Answer:

Cheryl is correct.

Step-by-step explanation:

Cheryl solved a problem : 84 ÷ 0.01 = 8,400.

This is absolutely right.

When we divide any whole number with the divisor having decimal, we change the divisor to a whole number before performing the division.

To do this, we multiply both the numbers (divisor and dividend) by the same power of 10, until the divisor is a whole number.

$\frac{84\times 10}{0.01\times 10}$ = $\frac{840}{0.1}$

to make divisor a whole number we will again multiply both the numbers by 10.

$\frac{840\times 10}{0.1\times 10}$ = $\frac{8400}{1}$ = 8,400

Now answer would be 8400.

Therefore, Cheryl is correct.

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3 years ago

Evaluate (3x-y)/(3(x-y)) if x = 5 and y = 3. *

mel-nik [20]

Answer:

Step-by-step explanation:

Write the equation

$\frac{3x-y}{3(x-y)}$

Add the variables

$\frac{3(5)-3}{3(5-3)}$

Multiply 3 x 5

$\frac{15-3}{3(5-3)}$

Subtract the parentheses

$\frac{15-3}{3(2)}$

Subtract the numerator

$\frac{12}{3(2)}$

Reduce the fraction with 3

$\frac{12}{3(2)} = \frac{4}{2}$

Reduce the fraction again with 2

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4 years ago

Fractions into decimals 5/16

chubhunter [2.5K]

Answer: 1 11/16

Step-by-step explanation:

5 divided by 5 is 1 so that’s a whole number and 11 is left 16-5=11 so the fraction will be the mixed number as 1 11/16. And also if you can, can you plz help me on my science hw it’s due tomorrow and I don’t know what to do!

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3 years ago

Kylie explained that (negative 4 x + 9) squared will result in a difference of squares because (negative 4 x + 9) squared = (neg

Eva8 [605]

Given:

The given expression is:

$(-4x+9)^2$

According to Kylie,

$(-4x+9)^2=(-4x)^2+(9)^2$

$(-4x+9)^2=16x^2+81$

To find:

The correct statement for Kylie's explanation.

Solution:

We have,

$(-4x+9)^2$

According to the perfect square trinomial $(a+b)^2=a^2+2ab+b^2$ .

$(-4x+9)^2=(-4x)^2+2(-4x)(9)+(9)^2$

$(-4x+9)^2=16x^2-72x+81$

Kylie did not understand that this is a perfect square trinomial, and she did not determine the product correctly.

Therefore, the correct option is C.

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