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Rom4ik [11]
2 years ago
9

an electrician charges a set fee of $150 for every house call and then charges an additional $70 per hour. write an equation for

c, in terms of t, representing the total cost of the electricians services if the electrician spends t hours at the house working.​
Mathematics
2 answers:
Artyom0805 [142]2 years ago
4 0

Answer:

y = 70x + 150

Step-by-step explanation:

y-intercept: 150

slope: 70x

Let x represent the amount of hours the electrician spent in the house.

enot [183]2 years ago
3 0

Answer:

C=150+70t

Step-by-step explanation:

In this equation, C stands for the total cost, and t stands for the number of hours worked. Since 150 is a set fee it must be a constant in the equation and to must be added to the hourly cost. 70 must be multiplied by t because the electrician charges 70 dollars for every hour he works. Then, both the set fee plus the hourly fee together equal the total cost.

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Solve the system by substitution. Check your solution.
zvonat [6]
B. (9,126)

<span>y + 18 = 16x
=>y=16x-18 
0.5x + 0.25y = 36 (multiply both sides by 4)
=>2x+y = 144
Substitute y=16x-8

=>2x+16x-8=144
=>18x=152
=>x=152/18=9 
y=16x-18
=>y=16(9)-18
=>y=144-18=126 
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3 years ago
Based on the information below, choose the correct answers. Note: The monthly loan payment was calculated at 119 payments of $33
Margaret [11]

Answer:

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Step-by-step explanation:

a) The amount of concern is ...

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6 0
3 years ago
The length of a swimming pool is 3 feet longer than it’s width. The swimming pool is surrounded by a deck that is 2 feet wide an
Firlakuza [10]

Answer:

The Length of swimming pool is 8.35 feet

The width of swimming pool is 5.35 feet

Step-by-step explanation:

Given as :

The length of swimming pool is 3 feet longer that its width

Let The width of swimming pool = w  feet

So, The Length of swimming pool = L = (w + 3) feet

Now, The swimming pool is surrounded by deck of 2 feet wide

The width of deck = w' = w + 2 + 2 = (w + 4) feet

The area of deck = 116 feet²

The length of deck = L' = L + 2 + 2 = (L + 4) feet

So, L' = (w + 3 + 4) feet

I.e L' = (w + 7) feet

∵ The area of deck = 116 feet²

So , L' × w' = 116 feet²

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Or, w² + 4 w + 7 w + 28 = 116

Or, w² + 11 w - 88 = 0

Solving the quadratic equation as

ax² + bx + c = 0

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Or, w = \dfrac{-11\pm \sqrt{11^{2}-4\times 1\times (-88)}}{2\times 1}

Or, w = \dfrac{-11\pm \sqrt{473}}{2}

or, w = \dfrac{-11\pm 21.7}{2}

or, w = 5.35 , -16.35

The width of swimming pool = w = 5.35 feet

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Hence, The Length of swimming pool is 8.35 feet

And The width of swimming pool is 5.35 feet

Answer

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3 years ago
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choli [55]

Answer:

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7 0
2 years ago
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faust18 [17]

Answer/Step-by-step explanation:

1. The vertex of am angle is formed when two lines join together. The vertex of the angle shown in the diagram is located outside the circle.(<R)

2. The lines that created <FRT (lines FR & TR) are secants

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minor arc = QS = 44°

4. Formula of Exterior angles of a circle = (major arc - minor arc)/2

x = (140 - 44)/2

x = 96/2

x = 48°

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