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Alona [7]
2 years ago
4

Elijah needs to lease out a music studio to record his new album the studio charges and initial studio-use fee plus an hourly fe

e for each hours in the studio let P represent the total amount of money Elijah would have to pay to use the studio four t hours A graph of P is shown below write an equation for P then state the Y intercept of the graph and determine its interpretation in the context of the problem
Mathematics
1 answer:
ArbitrLikvidat [17]2 years ago
5 0

Answer:

100+50t

Step-by-step explanation:

You might be interested in
The sum of two consecutive even integers divided by four is 189.5
Andre45 [30]
The sum of two consecutive even integers is a+(a+2) and divided by four is
(a+(a+2))/4 = 189.5
(2a+2)/4 = 189.5
2a+2 = 189.5 * 4
2a+2 = 758
2a = 758 - 2
2a = 756
a = 756/2 = 378
first number is a = 378
second number is a+2 = 378+2 = 380
6 0
2 years ago
A pool manager balances the pH level of a pool. The price of a bucket of chlorine tablets is $90, and the price of a pH test kit
jolli1 [7]

Answer:

The chlorine tablets are $36 and the pH test kit is $4.40.

Step-by-step explanation:

So what I first did was add 90+11 (because $90 for the chlorine tablets and $11 for the pH kit). The answer you should get is 101.  From their I did 101 multiplied by 40% or 101 multiplied by .40 (40% and 0.40 are the same thing). You now get $40.4.  

Now I did 90·40%. I got $36

Then I did 11·40%. I got 4.4

I added them up and got $40.4 which was my new price so now we know that the chlorine tablets are $36 and the pH test kit is $4.40.

7 0
2 years ago
Given: EFGH inscribed in k(O) m∠FHE = 45°, m∠EGH = 49° Find: m∠FEH
hodyreva [135]

Answer:

m

Step-by-step explanation:

we know that

The inscribed angle measures half that of the arc comprising

step 1

Find the measure of arc EF

m

we have

m

substitute

45\°=\frac{1}{2}(arc\ EF)

arc\ EF=90\°

step 2

Find the measure of arc EH

m

we have

m

substitute

49\°=\frac{1}{2}(arc\ EH)

arc\ EH=98\°

step 3

Find the measure of arc FGH

arc\ FGH=360\°-(arc\ EH+arc\ EF)

substitute the values

arc\ FGH=360\°-(98\°+90\°)

arc\ FGH=172\°

step 4

Find the measure of angle FEH

m

we have

arc\ FGH=172\°

substitute

m

7 0
2 years ago
Which expression can be used to find the price of a $400 telescope after a 32% markup? Select all that apply.
blagie [28]
<h3>Option D</h3><h3>The expression can be used to find the price of a $400 telescope after a 32% markup is: 400 + 400 (0.32 )</h3>

<em><u>Solution:</u></em>

Given that,

Price of telescope = $ 400

Mark up = 32 %

To find: Cost after mark up

The formula used is:

<h3>Cost after mark up = Price of telescope + 32 % of Price of telescope</h3>

Therefore,

Cost after mark up = 400 + 32 % of 400

\text{Cost after mark up } = 400 + \frac{32}{100} \times 400\\\\\text{Cost after mark up } = 400 + 0.32 \times 400\\\\\text{Cost after mark up } = 400 + 128\\\\\text{Cost after mark up } = 528

Thus cost after mark up is $ 528 and expression is 400 + 400 (0.32 )

7 0
2 years ago
Copy and complete each table.
LUCKY_DIMON [66]

Answer:

5th term of sequence = -18

nth term of the sequence = -5n + 7

Step-by-step explanation:

Difference between successive and previous term of the output,

T_{2}-T_{1} = -3 - 2

           = -5

Similarly, T_{3}-T_{2}=-8-(-3)

                            = -5

There is a common difference 'd' = (-5)

Therefore, the sequence formed will be an arithmetic sequence.

First term of the sequence 'a' = 2

Explicit formula of an arithmetic sequence, T_{n} = a + (n - 1)d  [n = input value]

T_{n} = 2 + (n - 1)(-5)

    = 2 - 5n + 5

    = -5n + 7

5th term of this sequence,

T_{5}=2+(5-1)(-5)

    = 2 - 20

    = -18

Therefore, 5th term of sequence = -18

                  nth term of the sequence = -5n + 7

3 0
2 years ago
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