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kompoz [17]
3 years ago
8

In The past few weeks Sue earned $513 at her part time job She worked a total of 54 hours About how many did Sue earn per hour

Mathematics
1 answer:
Tresset [83]3 years ago
6 0
$513 (amount earned) / 54 (amount of hours) = $9.50 (hourly rate)

to check:
$9.50 (hourly rate) x 54 (amount of hours)
= 513 (amount earned)

hope this helps :)
You might be interested in
Show Work Please Thank You
Misha Larkins [42]

Answer:

\displaystyle{x = \dfrac{\pi}{12}, \dfrac{\pi}{6}}

Step-by-step explanation:

We are given the trigonometric equation of:

\displaystyle{\sin 4x = \dfrac{\sqrt{3}}{2}}

Let u = 4x then:

\displaystyle{\sin u = \dfrac{\sqrt{3}}{2}}\\\\\displaystyle{\arcsin (\sin u) = \arcsin \left(\dfrac{\sqrt{3}}{2}\right)}\\\\\displaystyle{u= \arcsin \left(\dfrac{\sqrt{3}}{2}\right)}

Find a measurement that makes sin(u) = √3/2 true within [0, π) which are u = 60° (π/3) and u = 120° (2π/3).

\displaystyle{u = \dfrac{\pi}{3}, \dfrac{2\pi}{3}}

Convert u-term back to 4x:

\displaystyle{4x = \dfrac{\pi}{3}, \dfrac{2\pi}{3}}

Divide both sides by 4:

\displaystyle{x = \dfrac{\pi}{12}, \dfrac{\pi}{6}}

The interval is given to be 0 ≤ 4x < π therefore the new interval is 0 ≤ x < π/4 and these solutions are valid since they are still in the interval.

Therefore:

\displaystyle{x = \dfrac{\pi}{12}, \dfrac{\pi}{6}}

8 0
2 years ago
Two similar triangular prisms have volumes of 27 square meters and 64 square meters.
Inessa [10]

Answer:

9/16

Step-by-step explanation:

First we need to know that the dimensions ratio, the surface area ratio and the volume ratio have the following relation:

volume ratio = dimension ratio ^3

surface area ratio = dimension ratio ^2

The volume ratio between small prism and the large prism is 27 / 64.

To find the dimensions ratio, we need to take the cubic root of the volume scale:

dimension ratio = 3√(27/64) = 3/4

Now, to find the surface area ratio, we just need to make the square of the dimension ratio:

surface area ratio = (3/4)^2 = 9/16

8 0
3 years ago
A painter bought 14 gallons of paint just enough to cover 2 room
OverLord2011 [107]
<h3>Answer:</h3>

7

<h3>Step-by-step explanation:</h3>

Based\ on\ the\ given\ conditions,\ formulate:

14\div 2

\frac{14}{2}

Creoss out the common factor

7

<em>I hope this helps you</em>

<em>:)</em>

6 0
2 years ago
What are the answers?
erik [133]

Answer:

answer is a

Step-by-step explanation:

8 0
3 years ago
I need to know the steps of how they got 1 over 2
lbvjy [14]

the simplified so 9 and 18 can both be divided by 9 so 9/18 dived by 9/9 would be 1/2 you can also but 9 divided by 18 in a calculator


3 0
3 years ago
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