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4 years ago

11

Write each expression using only positive exponents.

1 answer:

blagie [28]4 years ago

5 0

12(34)x16 Thanks for all this help on this app but I just don’t understand this

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The ratio of women to men working for a company is 5 to 7. If there are 140 men working for the company, what is the total numbe

Thepotemich [5.8K]

So women:men=5:7
for every 5 units of women, there are 7 units of men so
there are 140 men and that equals 7 units so
140=7 units
solve for 1 unit
140/7=20
1 unit=20
women=5 units
5 times 20=100
women=100
total=women+men=100+140=240
another way would be to add up the units (5+7=12) and multiply by the amount per 1 unit

7 0

3 years ago

Given the functions f(n) = 500 and g(n) = (nine tenths)n − 1, combine them to create a geometric sequence, an, and solve for the

masya89 [10]

Answer:

$A(n) = 500 * (\frac{9}{10})^{n-1$

$A(11) = 174.34$

Step-by-step explanation:

Given

$f(n) = 500$

$g(n) = (\frac{9}{10})^{n-1$

Represent the combination of f(n) and g(n) with A(n)

So, we have:

$A(n) = f(n) * g(n)$

This gives:

$A(n) = 500 * (\frac{9}{10})^{n-1$

To calculate the 11th term, we make use of n = 11

$A(11) = 500 * (\frac{9}{10})^{11-1$

$A(11) = 500 * (\frac{9}{10})^{10$

This gives:

$A(11) = 500 * (0.9)^{10}$

$A(11) = 500 * 0.3486784401$

$A(11) = 174.33922005$

Approximate to 2 dp

$A(11) = 174.34$

3 0

3 years ago

= 35 when x = 140, what is the

MatroZZZ [7]

Answer:

17.5

Step-by-step explanation:

when y is 35 x is 140 so when x is 70 (divided 140 by 2) you also need to divide the y value by 2 so 35/2 is 17.5

4 0

3 years ago

In 2014, The population of West Palm Beach, Florida was 99,919. Write The 2014 population of West Palm Beach in scientific notat

frez [133]

Answer:

$9.9919*10^4$

Step-by-step explanation:

we have

$99,919$

we know that

$99,919=9.9919(10,000)$

$10,000=10^4$

substitute

$9.9919(10^4)$

therefore

The 2014 population of West Palm Beach in scientific notation is equal to

$9.9919*10^4$

4 0

4 years ago

A rectangle has a width that is 50% of its length. The length of the rectangle is 12 inches. What is the area of the rectangle.

Stells [14]

Answer:

72 inches²

Step-by-step explanation:

Let $w$ be equal to the width of the rectangle.

Let $l$ be equal to the length of the rectangle.

$\frac{1}{2}l=w$

Plug in 12 inches as the length

$\frac{1}{2}(12)=w\\6=w$

Therefore, the width of the rectangle is 6 inches.

$A=lw$

Plug in 12 inches as the length and 6 inches as the width.

$A=(12)(6)\\A=72$

Therefore, the area of the rectangle is 72 inches².

I hope this helps!

7 0

3 years ago