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blondinia [14]
3 years ago
6

An electrician charges $53 per hour and his apprentice charges $22 per hour. On a job wiring a house the electrician worked four

hours more than the apprentice. Together they earned a total of $624.50 for the job. How much did the election earn for the rewiring?
Mathematics
1 answer:
forsale [732]3 years ago
7 0

Answer:

<h2>$503.5</h2>

Step-by-step explanation:

let the apprentice duration of work be x hours

so that the electrician worked (x+4)hours

53*(x+4)+22*x=624.50

opening the bracket we have

53x+212+22x=624.50

collect like terms we have

53x+22x+212=624.50

75x+212=624.50

75x=624.50-212

75x=412.5

divide both sides by 75 we have

x=412.5/75

x=5.5

The electrician worked a total of (x+4)

5.5+4=9.5 hours or 9hours 30min

given that the electrician earns $53 per hour

then,for the work he would make 53*9.5=$503.5

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NikAS [45]

Answer:

A college student took 4 courses last semester. His final grades, along with the credits each class is worth, are as follow: A (3), B (4), C (2), and D (3). The grading system assigns quality points as follows: A: 4; B: 3; C: 2; D: 1; and F: 0. Find the student’s GPA for this semester. Round your answer to the nearest thousandth.

another way is

This is a weighted average question. You are going to "weight" each course by the number of credits it is worth and then divide by the total number of credits. In other words, you are going to multiply each grade (A=4, B=3) by the number of credits attached to that grade. This will ensure that the courses that have more credits count more in the overall average. Then you are going to divide by the total number of credits to get the overall GPA.

So,

(3*4 + 4*3 + 2 *2 + 3*1)/(3+4+2+3) = GPA

Step-by-step explanation:

bran-list please

6 0
2 years ago
Hi quick whats 18 x 1.25 <br> step by step !!
Ivan

Answer:

22.5

Step-by-step explanation:

125

x 18

---------

1. first set up your problem

2 4

125

x 18

------

1000

2. next multiply the 8 by 5 getting 40, drop the 0 anf move the 4 to the top above 2.

3. multiply 8 by 2 getting 16, then add the 4 you have ontop of the 2 to the 16 getting 20. Drop the 0 and bring the 2 over and place it above the one.

4. multiply 8 by 1 getting 8 then add the 2 above the 1 to 8 getting 10. Then put the ten infront of the tw zeros. 1000

125

x 18

--------

1000

0

Next add a 0 as a place filler under the 0 at the end.

125

x 18

-------

1000

1250

Then multiply the 1 by 5, then 1 by 2, then finnaly 1 by 1, getting you 1250.

1000

+1250

add together

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then move 2 decimal places over to get 22.5

3 0
3 years ago
Find the perimeter of this semi-circle with diameter, d = 39cm. Give your answer rounded to 1 DP.
deff fn [24]

Answer:

p=1/2*3.14+d

1/2*3.14*19.5=30.615

=30.615+39

=69.615

=69.6

Step-by-step explanation:

since it's half a circle we take the formula of acricle to be half

3 0
2 years ago
Assuming the lines are parallel angel 4 corresponds with angle ___
Soloha48 [4]

Answer:

∠ 2

Step-by-step explanation:

∠ 2 corresponds to ∠ 4 because each is in the same position, the upper right- hand corner, in its group of 4 angles.

6 0
3 years ago
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What is the highest common factor of 72 and 90
Zina [86]

Answer:

18

Step-by-step explanation:

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