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kirill115 [55]
3 years ago
8

 plumber and his assistant work together to replace the pipes in an old house . the plumber charges $45 per hour for his own wor

k and $25 for his assistant's labor. the plumber works twice as long as his assistant on this job, and the labor charge on the final bill is $4035. how long did the plumber and his assistant work on the job?
Mathematics
1 answer:
Dafna11 [192]3 years ago
4 0
$45 per plumber hour (p)
$25 per assistant hour (a)
$4035 = 25a + 45p
p = 2a

4035 = 25a + 45(2a)
4035 = 25a + 90a
4035 = 115a
a = 35.086 hours
p = 2(35.086)
p = 70.174 hours

The plumber worked about 70 hours, and his assistant worked about 35 hours.
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Determine if the triangles in each pair are similar. If so, create a flowchart proof, If not, explain how you know.
olga_2 [115]

Answer:

∆<em>LMN</em> ~ ∆<em>LQR</em>

Step-by-step explanation:

All you have to do is match their similar corresponding angles.

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4 years ago
Please help me out :)
Vanyuwa [196]

The angle between the legs labeled x and y is complementary to the angle with measure 31 degrees, so that angle has measure 90 - 31 = 59 degrees. Then

\sin59^\circ=\dfrac{400}x\implies x=\dfrac{400}{\sin59^\circ}\approx466.7

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3 years ago
1. 3x + y = 11<br> 5x - y = 21
sergeinik [125]

Answer:

[4, -1]

Step-by-step explanation:

Using the Elimination Method:

3x + y = 11

5x - y = 21

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8x = 32

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x = 4 [Plug this back into both equations to get the y-coordinate of -1]; -1 = y

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3 years ago
? x 1/100 = 1,200 what is the missing number?
andrew-mc [135]

Answer: 120,000

Step-by-step explanation:

Let the question mark = x

x*1/100 = 1200

Multiply by 100 on both sides:

x = 1200*100

x = 120,000

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2 years ago
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Joel Trump is paid one and one-half times the regular hourly rate for all hours worked in excess of 40 hours per week and double
Irina18 [472]

Answer:

C. $516

Step-by-step explanation:

His regular rate is $8 per hour.

Since it's 40 hours a week, it means from Monday to Friday his regular work time is 8 hours per day.

Thus, for the regular week work, he is to be paid;

40 × 8 = $320

Now, we are told he worked 9 hours each day from Monday through Friday.

This means that;

He worked 1 hour each day.

That is 5 hours extra from Monday to Friday.

He is paid one and one-half times the regular hourly rate.

Thus, for this 5 extra hours, he will be paid 1½ × 5 × 8 = $60

He works 6 hours on Saturday, and 4 hours on Sunday.

Thus;

For Saturday, he is also paid one and one-half of regular pay. Thus, he is due for;

1½ × 8 × 6 = $72

He is paid double the regular hourly pay for Sundays.

Thus, for 4 hours on Sunday, he is paid;

2 × 8 × 4 = $64

Total he is due = $320 + $60 + $72 + $64 = $516

7 0
3 years ago
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