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3 years ago

Simplify (2/3)^-1 Show your work!

Mathematics

2 answers:

mina [271]3 years ago

7 0

Answer:

3/2

Step-by-step explanation:

lawyer [7]3 years ago

5 0

Answer:

3/2

Step-by-step explanation:

Apply exponent rule: a^-1 = 1/a

(2/3)^1 = 1/2/3

Apply the fraction rule: 1/a/c = c/b

3/2

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A book sold 39,300 copies in its first month of release. Suppose this represents 6.3% of the number of copies sold to date. How

konstantin123 [22]

Hi there! So 39,300 copies of a book were sold on debut month of release, and that represents 6.3% of all copies sold to date. To find the total amount of copies sold, we can write and solve a proportion. Set it up like this:

39,300/x = 6.3/100

We set it up like this because 39,300 is part of the total amount, and it represents 6.3% of the total book sales. Percents are parts of 100, which is why 6.3 is above 100. Let's cross multiply the values. 39,300 * 100 is 3,930,000. 6.3 * x is 6.3x. that makes 3,930,000 = 6.3x. Divide each side by 6.3 to isolate the x. 6.3x/6.3 cancels out. 3,930,000/6.3 is 623,809.5238 or 623,810 when rounded to the nearest whole number. There. The total amount of copies sold to date is about 623,810.

8 0

3 years ago

An electric utility company determines the monthly bill for a residential customer by adding an energy charge of 7.32 cents per

Sedaia [141]

Answer:

$y(x) = 0.0732x + 17.32$

Step-by-step explanation:

The equation for the monthly charge has the following format

$y(x) = ax + b$

In which y(x) is the cost in function of the number of kilowatt-hours used(x), a is the price of each killowatt hour and b is the fixed(base) charge.

Base charge of $17.32 per month.

This means that $b = 17.32$

charge of 7.32 cents per kilowatt-hour

Our answer is in dollars. Each dollar is 100 cents. So 7.32 cents is $a = 0.0732$

Write an equation for the monthly charge y in terms of x, the number of kilowatt-hours used.

$y(x) = ax + b$

$y(x) = 0.0732x + 17.32$

6 0

3 years ago

An animal shelter has 24 puppies. If the puppies are 32% of the total dog and cat population, how many dogs and cats are in the

34kurt

population *32% = 24

population *.32 = 24

population = 24/.32

population = 75

4 0

3 years ago

A given line has the equation 2x + 12y = −1. What is the equation, in slope-intercept form, of the line that is perpendicular to

VikaD [51]

Answer:

y = 6x + 9

Step-by-step explanation:

The equation of a line in slope- interceot form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 2x + 12y = - 1 into this form

Subtract 2x from both sides

12y = - 2x - 1 ( divide all terms by 12 )

y = - $\frac{1}{6}$ x - $\frac{1}{12}$ ← in slope- intercept form

with slope m = - $\frac{1}{6}$

Given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{-\frac{1}{6} }$ = 6

Note the line passes through (0, 9) on the y- axis ⇒ c = 9

y = 6x + 9 ← equation of perpendicular line

3 0

3 years ago

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How do you write 5.4 as a mixed number

mestny [16]

5 is a whole number so keep it as 5 then 4 is in the tenths place so that means have ten for the denominator so 5 and 4/10 is the mixed number then simplified to 5 and 2/5

3 0

3 years ago

Read 2 more answers