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patriot [66]
2 years ago
6

You want to create a piece of

Mathematics
2 answers:
Nadya [2.5K]2 years ago
8 0

The total costs of the studios are the same after 4 hours

<h3>How to determine the number of hours?</h3>

The complete question is added as an attachment

From the question, we have:'

<u>Cost of studio</u>

Studio A = $10

Studio B = $16

<u>Hourly rate</u>

Studio A = $8

Studio B = $6.5

The total cost is then calculated as:

Total cost = Cost of studio + Hourly rate * Number of hours

So, we have:

y = 10 + 8x

y = 16 + 6.5x

Equate both equations

10 + 8x = 16 + 6.5x

Evaluate the like terms

1.5x = 6

Divide by 1.5

x = 4

Hence, the total costs of the studios are the same after 4 hours

Read more about linear equations at:

brainly.com/question/15602982

#SPJ1

emmainna [20.7K]2 years ago
4 0

After six and half hours for studio A and after eight hours for studio B, the total costs of both studios will be the same.

<h3>What is Rate ?</h3>

Rate is a measure or quantity measured against another quantity or measure which is the ratio between two related quantities in different units

It is given that you want to create a piece of pottery at an art studio. The total cost is the cost of the piece plus an hourly studio fee. The costs at two studios are shown.

  • Studio A: $8 per hour.
  • Studio B: $6.50 per hour.

Multiply both together. That is,

8 x 6.5 = $52

The two cost will be the same at $52. By that time,

Studio A will be six and half hours.

Studio B will be eight hours.

Therefore, after six and half hours for studio A and after eight hours for studio B, the total costs of both studios will be the same.

Learn more about Rate here: brainly.com/question/8728504

#SPJ1

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Elena-2011 [213]

Answer:

The correct answer is: Option D) 5

Step-by-step explanation:

Given equation is:

3(x + 2) + x = 2x + 16

In order to find that which values of x makes the equation true, we have to put each value of x in the equation. When both sides of equations will be equal, that value of x will be true for the equation.

Putting x = 2

3(2 + 2) + 2 = 2(2) + 16\\3(4)+2 = 4+16\\12+2 = 20\\14 \neq 20

Putting x = 3

3(3 + 2) + 3 = 2(3) + 16\\3(5)+3 = 6+16\\17+3 = 22\\20 \neq 22

Putting x=4

3(4+2)+4 = 2(4)+16\\3(6)+4 = 8+16\\18+4 = 24\\22 \neq 24

Putting x = 5

3(5+2)+5 = 2(5)+16\\3(7)+5 = 10+16\\21+5 = 26\\26 = 26

The equation is true for x = 5

Hence,

The correct answer is: Option D) 5

6 0
2 years ago
celebrity a has 400 followers on social media and is gaining 75 followers each day. celebrity b has 1000 followers on social med
Aleksandr [31]

Answer:

It will take 12 days and they will be at 700 followers each

Step-by-step explanation:

Just guess and keep adding.

8 0
3 years ago
Read 2 more answers
Solve for (0)<br> 12<br> 15<br> Round to the nearest hundredth
Nataly [62]

Answer:

.014

Just trust me, you know I have your back

5 0
2 years ago
One acute angle of a right triangle is 12 degrees more than twice the other acute angle. Fine the acute angles of the right tria
Svetlanka [38]
Let one acute angle be X and one be Y
X+Y=90  -------Eq.1
2X+12=Y
2X-Y=-12------Eq.2
solving eq 1&2 we get,
3x=78
∴X=26
substituting value X in equation.1
X+Y=90
Y=90-26
∴Y=64
⇒answer:- X=26°
                   Y=64°


8 0
2 years ago
Which of the following functions has a graph that is a line? f(x) = |x| f(x) = x f(x) = x 2
sattari [20]

Answer:

f(x) = x

Step-by-step explanation:

f(x) = |x| will give you V graph

f(x) = x will give you line graph (linear)

f(x) = x² will give you a curve graph

7 0
3 years ago
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