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3 years ago

What is the unit rate of $52.5 7h

Mathematics

1 answer:

Brilliant_brown [7]3 years ago

5 0

Answer:

= 7.5 USD per hour

Step-by-step explanation:

This is a fraction equal to

52.5 USD ÷ 7 hours

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 7

$\frac{52.5}{7}$ = 7.5 USD per hour

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mylen [45]

Answer:

117793457

Step-by-step explanation:

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3 years ago

66inches long is to be cut into 5 1/2 inches pieces how many pieces can be cut

Goshia [24]

Each piece will be the same length. We can convert 5 1/2 into an improper fraction. 5 1/2 = 11 / 2 Divide 66 by this improper fraction. 66 / (11 / 2) When we divide by a fraction, we multiply by the reciprocal of that fraction. 66 * (2 / 11) = 2 * 6 = 12 12 pieces can be cut.

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4 years ago

PLEASE HELP!!

e-lub [12.9K]

Answer:

Part 1) The inverse function is $f^{-1}(x) =\frac{2x-3}{4}$

Part 2) 25.75 weeks

Step-by-step explanation:

Let

x ---->the number of weeks in the course

f(x) ---> the number of assignments he has completed

we have

$f(x)=\frac{4x-3}{2}$

Part 1) Find the inverse

Let

y=f(x)

$y=\frac{4x-3}{2}$

Exchange the variables (x for y and y for x)

$x=\frac{4y-3}{2}$

Isolate the variable y

$2x=4y-3\\4y=2x+3\\\\y=\frac{2x+3}{4}$

Let

$f^{-1}(x) =y$

$f^{-1}(x) =\frac{2x+3}{4}$

Part 2) we have

$f^{-1}(x) =\frac{2x+3}{4}$

where

$f^{-1}(x)$ ---->the number of weeks in the course

x ---> the number of assignments he has completed

For x=50

substitute in the inverse function

$f^{-1}(x) =\frac{2(50)+3}{4}=25.75\ weeks$

Note: Juliana don't need to use the inverse function. you can just use the function you have where f(x)=50 assignments and solve for x to get the amount of weeks.

$50=\frac{4x-3}{2}\\\\100=4x-3\\4x=103\\x=25.75\ weeks$

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4 years ago

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Andrei [34K]

Answer:

Rewriting our equation with parts separated

=1+3/4−2−7/10=1+3/4−2−7/10

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3/4−7/10=?

Find the LCD of 3/4 and 7/10 and rewrite to solve with the equivalent fractions.

LCD = 20

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Combining the whole and fraction parts

−1+1/20=−19/20

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3 years ago

If 2^98 – 2^97 – 2^96 + 2^95 = m * 2^95, find the value<br>of m.

BigorU [14]

Step-by-step explanation:

First factorise the equation

6 0

3 years ago