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Sloan [31]
3 years ago
15

You have a part-time job. You work for 3 hours on Friday and 6 hours on Saturday. You also receive an allowance of $20 per week.

You earn $92 per week. How much do you earn per hour at your part-time job?
Mathematics
2 answers:
vazorg [7]3 years ago
5 0
8 dollars per hour 72/9=8
olga55 [171]3 years ago
4 0

Answer:

8 dollars per hour

Step-by-step explanation:

You make 92 a week

20 of that is from your allowance

92-20 = 72

72 is from your part time job

You work for 3 hours on Friday and 6 hours on Saturday, for a total of 3+6 = 9 hours

Take the amount of money earned and divide by the number of hours to determine the money earned per hour

72/9 = 8 dollars per hour

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Two boys and three girls are auditioning to play the piano for a school production. Two students will be chosen, one as the pian
finlep [7]

Answer:

30% is the correct answer.

Step-by-step explanation:

Total number of boys = 2

Total number of girls = 3

Total number of students = 5

To find:

Probability that the pianist will be a boy and the alternate will be a girl?

Solution:

Here we have to make 2 choices.

1st choice has to be boy (pianist) and 2nd choice has to be girl (alternate).

\bold{\text{Required probability }= P(\text{boy as pianist first}) \times P(\text{girl as alternate})}

Formula for probability of an event E is given as:

P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}

For P(\text{boy as pianist}), number of favorable cases are 2 (total number of boys).

Total number of cases = Total number of students i.e. 5

So, P(\text{boy as pianist}) is:

P(\text{boy as pianist}) = \dfrac{2}{5}

For P(\text{girl as alternate}), number of favorable cases are 3 (total number of girls).

Now, one boy is already chosen as pianist so Total number of cases = Total number of students left i.e. (5 - 1) = 4

P(\text{girl as alternate}) = \dfrac{3}{4}

So, the required probability is:

\text{Required probability } = \dfrac{2}{5}\times \dfrac{3}{4} = \dfrac{3}{10} = \bold{30\%}

6 0
3 years ago
How do you do this question?
vaieri [72.5K]

Answer:

(-∞, -2), (-2, -0.618), and (1.618, 3)

Step-by-step explanation:

The red plus (+) signs indicate the regions in which the function is concave up, and the red negative (-) signs indicate the regions in which the function is concave down.

Note that the sign of the concavity changes at an inflection point.

Let's examine the intervals given.

(-∞, -2): Yes, concave up.

(-∞, -1.17): No. Concave up in (-∞, -2) but concave down in (-2, -1.17).

(-2, 0): No. Concave down in (-2, -1.17) but increasing in (-1.17, 0.0).

(-1.17, 0.689): Yes. Concave up.

(-0.618, 1.618): No. Concave up in (-0.618, 0.689) but concave down in (0.689, 1.618).

(0, 3): No. Concave up in (0, 0.689), concave down in (0.689, 2.481), and concave up in (2.481, 3).

(2.481, ∞): Yes. Concave up.

The three intervals that are concave up are (-∞, -2), (-1.17, -0.689), and (2.481, ∞).

4 0
3 years ago
What is the percent of change to 125 centimeteres 87.5 centimeters?
MrRa [10]
I hope this helps you

125-87,5=37,5

125 37,5

100 ?

?.125=100.37,5

?=3750/125

?=30


30%
5 0
2 years ago
The volume of a cube is 36 cubic feet. What is the volume of a pyramid that fits exactly inside the cube?
jok3333 [9.3K]
Volume of a cube = 1/3 volume of cube = 1/3 * 36 = 12 cubic feet.

6 0
3 years ago
At a hardware store, a tool set normally costs $80. During a sale this week, the tool set costs $12 less than usual. What percen
Hoochie [10]

,  15\%  of the usual price is the savings .

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

Here we have , At a hardware store, a tool set normally costs $80. During a sale this week, the tool set costs $12 less than usual. We need to find What percentage of the usual price is the savings . Let's find out:

Initially we have cost as $80 , in sale it is $12 less i.e.

⇒ 80-12

⇒ 68

So , percentage of the usual price is the savings :

⇒ \frac{80-68}{80}(100)

⇒ \frac{12}{80}(100)

⇒ \frac{3(4)}{20(4)}(100)

⇒ \frac{3}{20}(100)

⇒ 3(5)

⇒ 15\%

Therefore ,  15\%  of the usual price is the savings .

8 0
3 years ago
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