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Softa [21]
2 years ago
9

A painter earns $15 per hour. What is the minimum number of hours he must work to earn at least $200? Write an inequality to rep

resent this situation and solve. Show your work.
PLEASE DO STEP BY STEP BECAUSE IT NEEDS ME TO SHOW MY WORK!
BEST ANSWER GETS BRAINLIEST! :) TYSM I NEED ANSWER ASAP
Mathematics
2 answers:
dedylja [7]2 years ago
8 0

Answer:

40/3

15 \times x = 200 \\ 15x = 200 \\ x = 200 \div 15 \\ x =   \frac{40}{3}

IRISSAK [1]2 years ago
5 0

So you know that he earns $15 per hour so we can write that as 15h, h = # of hours worked

We also know he has to earn AT LEAST $200, so putting all this together we form the inequality(=< means less than or equal to): 15h =< 200

so now we have to solve for h (number of hours worked):

15h =< 200

(divide both sides by 15)

h =< 13 1/3

So, the painter must work a minimum of 13 and 1/3 hours to earn at least $200.

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Translate and simpify: subtract 18 from -11
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Answer:

should be -29

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If you subtract a positive from a negative number you basically add them both and put a - onto the number

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For triangle ABC side a=18, Angle C = 90degrees and side b= 24 find c to the nearest hole number
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3 years ago
The International Business Club starts the school year with $250.50 in their account. They spend $35 each month on activities. T
svlad2 [7]

Answer:

250.50 - 35m = 300 - 45.25m

Step-by-step explanation:

Whenever an equation asks for when it will take x (or m in this case) amount of things or time you should know that there will be 2 different equations that have to equal each other

The equation will be 250.50 - 35m = 300 - 45.25m

The 35m is being subtracted from 250.50 because they are losing money each time they spend. This also applies to 45.25m

Also 35m and 45.25m are variables because it says they spend that much money each month. They don't specify how many months, so we have to put a variable after it.

7 0
3 years ago
A new catalyst is being investigated for use in the production of a plastic chemical. Ten batches of the chemical are produced.
zzz [600]

Answer:

CI=(66.54,78.46)                                  

Step-by-step explanation:

Given : A new catalyst is being investigated for use in the production of a plastic chemical. Ten batches of the chemical are produced. The mean yield of the 10 batches is 72.5% and the standard deviation is 5.8%. Assume the yields are independent and approximately normally distributed.

To find : A 99% confidence interval for the mean yield when the new catalyst is used ?

Solution :

Let X be the yield of the batches.

We have given, n=10 , \bar{X}=72.5\% , s=5.8%

Since the size of the sample is small.

We will use the student's t statistic to construct a 995 confidence interval.

\bar X\pm t_{n-1,\frac{\alpha}{2}}\frac{s}{\sqrt n}

From the t-table with 9 degree of freedom for \frac{\alpha}{2}=0.005

t_{n-1,\frac{\alpha}{2}}=t_{9,0.005}

t_{n-1,\frac{\alpha}{2}}=3.250

The 99% confidence interval is given by,

CI=72.5 \pm 3.25\frac{5.8}{\sqrt{10}}

CI=72.5 \pm 5.96

CI=(72.5+5.96),(72.5-5.96)

CI=(66.54,78.46)

8 0
3 years ago
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