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vaieri [72.5K]
3 years ago
13

The population of Greenvillie is approximately 75 times the population of fairview. The 3.75 x 10 to the power of 5 people livin

g in Greenvillie. approximately how many people are living in fairview ?
A. 5 x 10 ti the power of 3

B. 5 x 10 to the power of 4

C. 3 x 10 to the power of 5

D. 3 x 10 to the power of 7
Mathematics
2 answers:
vampirchik [111]3 years ago
8 0
The answer is a. 5 x 10³.

3.75 x 10^5 = 375,00.( population of Greenville)
 
375,000 ÷ 75 = 5,000 ( population of Fairview)

5 x 10³(1,000)= 5,000.
BARSIC [14]3 years ago
5 0
Scientifict notation=(number greater than or equal to 1 and less than 10) times 10^n

reemmber
(x^m) times (x^n)=x^(m+n)
greenville=75fairfview
greenville/75=fairview

3.75/75*10^5=
0.05*10^5=
5 times 10^-2 times 10^5=
-2+5=3
5 times 10^3

the answer is A
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tatuchka [14]

Answer:

1. x = 67.5

2. x = 2.5

3. x = 35.2

4. x = 2.0

5. x = 17.0

Step-by-step explanation:

Question 1

The proportion is set up in the form x/9 = 15/2. Multiply both sides by two to get rid of the two in the denominator on the right side. After doing so, multiply by 9 on both sides to get rid of the 9 in the denominator on the left:

2x/9 = 15

2x = 9(15)

Next solve for x:

2x = 135

x = 67.5

Question 2

The proportion is set up in the form 20/8.7 = 5.8/x. Multiply both sides by the second denominator, x, and then both sides by the first, 8.7. This will leave you with the work below:

20x/8.7 = 5.8

20x = 8.7(5.8)

Next, solve for x:

20x = 50.46

x = 2.523

Round to the nearest tenth:

x = 2.5

Question 3

The proportion is set up in the form 5/16 = 11/x. Multiply both sides by the second denominator, x, and then both sides by the first, 16. This will leave you with the work below:

5x/16 = 11

5x = 11(16)

Next, solve for x:

5x = 176

x = 35.2

Question 4

The proportion is set up in the form x/0.06 = 17/0.5. Multiply both sides by the second denominator, 0.5, and then both sides by the first, 0.06. This will leave you with the work below:

0.5x/0.06 = 17

0.5x = 17(0.06)

Next, solve for x:

0.5x = 1.02

x = 2.04

Round to the nearest tenth:

x = 2.0

Question 5

The proportion is set up in the form 29/x = 75/44. Multiply both sides by the second denominator, 44, and then both sides by the first, x. This will leave you with the work below:

29(44)/x = 75

29(44) = 75x

Next, solve for x:

1276 = 75x

x = 17.0133

Round to the nearest tenth:

x = 17.0

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Which expression correctly simplifies (312415)56?
Andreyy89

Answer:

\sf C)\quad \large\text{$\dfrac{3^{\frac{5}{12}}}{4^{\frac{1}{6}}}$}

Step-by-step explanation:

Given expression:

\large\text{$\left(\dfrac{3^{\frac{1}{2}}}{4^{\frac{1}{5}}}\right)^\frac{5}{6}$}

\textsf{Apply exponent rule} \quad \left(\dfrac{a}{b}\right)^c=\dfrac{a^c}{b^c}:

\large\text{$\implies \dfrac{\left(3^{\frac{1}{2}}\right)^\frac{5}{6}}{\left(4^{\frac{1}{5}}\right)^\frac{5}{6}}$}

\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:

\large\text{$\implies \dfrac{3^{(\frac{1}{2}\times \frac{5}{6})}}{4^{(\frac{1}{5}\times \frac{5}{6})}}$}

Simplify:

\large\text{$\implies \dfrac{3^{\frac{5}{12}}}{4^{\frac{1}{6}}}$}

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