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AURORKA [14]
3 years ago
13

The amount in dollars an electrician charges in terms of the number of hours worked is represented by the function y=22x+42.

Mathematics
1 answer:
sasho [114]3 years ago
7 0

Answer:

Step-by-step explanation:"

The electrician charges an initial fee of $42", AND "The electrician charges $22 for every hour worked" is true.

The equation is y=22x+42. The formula is y=mx+b.m is the slope, or is this case, the number of dollars for every "x", which is the number of hours worked. So you have to pay $22 for every hour the electrician works.b is the y-intercept, or the amount it starts with, in this case, you have to pay a fee of $42 even when the electrician worked 0 hours. This is because $42 is the amount it starts with.On a graph, the line will start at (0,42) because that is when you start paying. And then it will increase by 22 for each hour, so the next coordinate would be (1,64).

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Find the surface area of the cylinder. Use a ~ 3.14 20 m​
lesantik [10]

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1444.4 m2

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6 0
3 years ago
Pls help:Find all the missing elements:
Yuliya22 [10]

Answer:

<h3>B = 48.7° , C = 61.3° , b = 12</h3>

Step-by-step explanation:

In order to find B we must first angle C

To find angle C we use the sine rule

That's

\frac{ |a|  }{ \sin(A) }  =  \frac{ |c| }{ \sin(C) }

From the question

a = 15

A = 70°

c = 14

So we have

\frac{15}{ \sin(70) }  =  \frac{14}{ \sin(C) }

\sin(C)  =  \frac{14 \sin(7 0 ) }{15}

C = \sin^{ - 1} (  \frac{14 \sin(70) }{15} )

C = 61.288

<h3>C = 61.3° to the nearest tenth</h3>

Since we've found C we can use it to find B.

Angles in a triangle add up to 180°

To find B add A and C and subtract it from 180°

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A + B + C = 180

B = 180 - A - C

B = 180 - 70 - 61.3

<h3>B = 48.7° to the nearest tenth</h3>

To find b we can use the sine rule

That's

\frac{ |a| }{ \sin(A) }  =  \frac{ |a| }{ \sin(B) }

\frac{15}{ \sin(70) }  =  \frac{ |b| }{ \sin(48.7) }

|b|  =  \frac{15 \sin(48.7) }{ \sin(70) }

b = 11.9921

<h3>b = 12.0 to the nearest tenth</h3>

Hope this helps you

6 0
3 years ago
Two friends sold many pieces of furniture and made ​$1550 during their garage sale. They had fifteen more​ $10 bills than​ $50 b
Novosadov [1.4K]

Answer:

The number of $ 10 bills is 37, the number of $ 20 is 6 and the number of $ 50 bills is 22.

Step-by-step explanation:

Let n₁ = number of $ 10 bills,

Let n₂ = number of $ 20 bills and

Let n₃ = number of $ 50 bills

Given that 10n₁ + 20n₂ + 50n₃ = 1550    (1)

Also, since we have fifteen more​ $10 bills than​ $50 bills, n₁ = n₃ + 15  (2)

and we have 4 more than three times as many​ $20 bills as​ $50 bills. n₃ = 3n₂ + 4. (3)

substituting equations (2) and (3) into (1), we have

10(n₃ + 15) + 20n₂ + 50n₃ = 1550

expanding the bracket, we have

10n₃ + 150 + 20n₂ + 50n₃ = 1550

collecting like terms, we have

60n₃ + 150 + 20n₂ = 1550

inserting equation (3), we have

60(3n₂ + 4) + 150 + 20n₂ = 1550

expanding the bracket, we have

180n₂ + 240 + 150 + 20n₂ = 1550

collecting like terms, we have

200n₂ + 390 = 1550

subtracting 390 from both sides, we have

200n₂ = 1550 - 390

200n₂ = 1160

dividing both sides by 200, we have

n₂ = 1160/200

n₂ = 5.8

n₂ ≅ 6 since it cannot be a fraction.

Substituting this into (3), we have

n₃ = 3n₂ + 4 = 3(6) + 4 = 18 + 4 = 22

substituting n₃ into (2), we have

n₁ = n₃ + 15 = 22 + 15 = 37

So, the number of $ 10 bills is 37, the number of $ 20 is 6 and the number of $ 50 bills is 22.

3 0
3 years ago
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