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I am Lyosha [343]
3 years ago
7

Cherry is paid $72.00 for working six hours in a library. If the amount paid is proportional to the number of hours worked, what

is the constant of proportionality?
Mathematics
1 answer:
patriot [66]3 years ago
4 0

Answer:

She's being paid six hours per hour

Step-by-step explanation:

She's being paid six hours per hour

72/6 = 6

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A ring is reduced to £840. This is a saving of 40% of the original price. What was the original price
krok68 [10]

The answer is 1400, good luck

7 0
2 years ago
A number to the 12th power divided by the same number to the 9th power equals 216. What is the number?
Annette [7]

Answer:

The given such number is 6.

Step-by-step explanation:

Let the given such number  = m

Now, according to the question, the given expression is:

\frac{(m^{12}) }{(m^{9}) }   =  216

By the LAW OF EXPONENTS:

\frac{x^a}{x^b}  = x^{(a-b)}

⇒Here \frac{m^{12}}{m^9}  = m^{(12-9)}  = m^{(3)}

or, the given expression becomes m^3 =  216\\\implies m = \sqrt[3]{216}  = 6

or, m  = 6

Hence, the given such number is 6.

8 0
3 years ago
True or False: (-8) + 9 = 9+ (-8)<br> Show your work to prove your answer.
valina [46]

Answer:

1

Step-by-step explanation:

-8 +9 = 1

9 + -8 = 1

answer = 1

7 0
3 years ago
Read 2 more answers
1.
enyata [817]
<span>Q1. Emily has $100 extra to spend on supplies for her T-shirt-making business. She wants to buy ink, I, which costs $4 a bottle, and new brushes, b, which are $15 each.

Solution:
In the current situation, the total amount is $100 and the cost of an ink bottle is $4.Whereas, the cost of each brush is $15.She cannot spend more than $100.

</span>Therefore,
The equation which best describes the situation is:
4i + 15b ≤ 100

Q.
<span>2 Jon owns a clothing store where he designs pairs of shorts, s, and T-shirts, t. He sells shorts for $14 and T-shirts for $6 each. Jon can work 12 hours a day, at most. It takes him 15 minutes to design a T-shirt and an hour to design a pair of shorts. He must design at least 12 items each day, but he cannot design more than 20 items in one day. Write 5 inequalities that represent the explicit and assumed constraints in the problem.

Solution:

</span>He sells shorts for $14 and T-shirts for $6 each
14s + 6t

It takes him 15 minutes to design a T-shirt and an hour to design a pair of shorts.
0.15t + 1s ≤ 12

He must design at least 12 items each day
s + t ≥ 12

he cannot design more than 20 items in one day.
s + t ≤20
6 0
4 years ago
Read 2 more answers
The height h of an arrow in feet is modeled by h(t) = -16t^2 + 63t +4, where t is the time in seconds since the arrow was shot.
miv72 [106K]
Pretty sure Desmos will help you with this more than anything else, but here goes:

The maximum height reached is 66.016. The ball will hit the ground in 4 seconds. The best domain is -0.063≤x≤4. I'm not too sure about -0.063, it's either -0.063 or -1.

Hope this helps!
4 0
3 years ago
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