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Inessa [10]
3 years ago
10

An electrician charges an hourly rate of $60, but also charges a fixed fee for making house calls regardless of time spend on th

e job. One day, the electrician earned a total of $350 for a 5 hour job. Write an equation for C,C, in terms of t,t, representing the total cost of the electrician's services if the electrician spends tt hours at the house working.
Mathematics
2 answers:
gtnhenbr [62]3 years ago
6 0

Answer: C=60t+50

Step-by-step explanation:

$60 an hour,

5 hours before the fixed fee is only $300

but the amount he made for a 5 hour house call was $350,

making the fixed fee $50

Luba_88 [7]3 years ago
4 0

Answer:

$50

Step-by-step explanation:

Step one:

charges per hour= $60

We are told that the electrician earned $350

for a job that took 5hours

The linear equation to represent his earnings is

let the flat fee be x

C=60t+x------------1

so for C=$350

Required

the flat fee

350=60(5)+x

350=300+x

collect like terms

x=350-300

x=50

Flat fee is $50

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larisa86 [58]
<u>Part A
</u>
<u />To estimate this, we should first look at our fractions and see if they can be combined to form a whole number. In this case, \frac{3}{5} and \frac{2}{3} equal approximately 1. We can add this "1" to the other to full gallons to estimate that the painter needs about 3 gallons.

<u>Part B
</u>
<u /><u />To find the exact amount, we should first change the mixed numbers to improper fractions. We do this by multiplying the denominator by the whole number, adding the numerator, and placing that value over the denominator.

1 \frac{3}{5} \\ \\  (5*1)+3 =8 \\  \\  \frac{8}{5}  \\  \\  \\ \\  1 \frac{2}{3} \\  \\ (3*1)+2=5 \\  \\  \frac{5}{3}  &#10;

Now, we need to find the least common denominator. This is the lowest value that both denominators will divide evenly into. In this case, that number is 15.

Next, we should multiply both fractions so that the denominator is that number. Remember that we must also multiply the numerator for the fraction to remain equivalent to its original value.

\frac{8}{5} *3 =   \frac{24}{15} \\  \\  \frac{5}{3} *5 =  \frac{25}{15}

Now, we can simply add our numerators.

25+24=49

We know that he needs \frac{49}{15} gallons of paint, but this is not in the most simplified format. To simplify, we need to turn our improper fraction back to a mixed number. To do this, we need to divide our numerator by the denominator to create our whole number, and the remainder becomes our new numerator.

\frac{49}{15} \\  \\ 49 / 15 = 3(Remainder: 4) \\  \\  3\frac{4}{15}

Using that logic, we can see that the painter needs exactly 3 \frac{4}{15} gallons of paint.    
4 0
3 years ago
two sides of a triangle measures 25 cm + 35 CM which of the following would be the measure of the third side
Oxana [17]
Assuming those are the legs of the triangle and that you need to find the hypotenuse... I would use the formula: a^2+b^2=c^2
It doesn't matter what a and b are, just fill it in.
25^2+35^2=c^2
625+1225=c^2
1850=c^2
Take the square root of 1850, it isn't a perfect square so I got: 43.01.
If you want, just round it to 43, idc. 
So, if I were to check my work, I would need to remember that the hypotenuse is the longest side.
Since 43 is the hypotenuse, it is the longest side. 

5 0
4 years ago
A: 2x + 8y = 5 B: x + 9y = 10
zalisa [80]
Hope this helps you!

3 0
3 years ago
Word problem-in a movie script time traveler wanted to save his wife who died the same year. The couple was the dam age. However
drek231 [11]

Represent Age of Time Traveler =========> X

Solve:

x = 3(x - 20 )


Step 1: Simplify Both sides of equation:

x = 3(x - 20 )

x = (3) (x) + (3) ( - 20 ) (Distribute ):

x = 3x + - 60

x = 3x - 60


Step 2: Subtract 3x from both sides:

x - 3x = 3x - 60 - 3x

- 2x = - 60


Step 3: Divide both sides by -2:

- 2x / - 2 = - 60 / - 2

x = 30



Answer: Our Time Traveler is 30 years old.




Hope that helps : )




5 0
3 years ago
Verify the following:<br> 15x(6+(-2) ) = (15x6) + 15x (-2)
NeX [460]

Answer:

-True-

Explanation:

the left side

60

is equal to the right side

60

, which means that the given statement is always true.

6 0
4 years ago
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