1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vesnalui [34]
3 years ago
9

A master electrician earns $62 per hour. His apprentice earns $40 per hour. The master electrician works 3 hours more than the a

pprentice. If together they are paid $492, how much does the master electrician earn?
A) $292
B) $312
C) $332
D) $372
Mathematics
2 answers:
Olegator [25]3 years ago
7 0

Answer:

The answer is D)$372

Step-by-step explanation:

kow [346]3 years ago
6 0
Let x be the number of hours the master electrician works and y the numbers of hours his apprentice works.

The master electrician earns $62 per hour, which means that he earns 62x.
His apprentice earns $40 per hour, which means that he earns 40y.

Together they are paid $492, so we can get the equation:
62x + 40y = 492.

We know that the electrician worked 3 hours more than his apprentice. So he worked x = y + 3 hours. Now let's replace x by its new value in the previous equation.

62x + 40y = 492
62(y+3) + 40y = 492
62y + 186 + 40y = 492

Now we need to put variables apart and numbers apart, so we subtract 186 from both sides of the equation:
62y + 40y + 186 - 186 = 492 - 186
102y = 306

Now we divide both sides by 102
(102y)/102 = 306/102
y = 3

So the apprentice worked 3 hours.
As we already mentioned, the electrician worked 3 hours more than his apprentice.
So he worked x = y + 3 = 3+3 = 6 hours.

The master electrician earns $62 per hour. Since he worked 6 hours, he earns 62 * 6 = 372 dollars.

So the master electrician earns $372 (Option D)

Hope this helps! :)
You might be interested in
What type of transformation maps triangle QRS to triangle Q'R'S why?
velikii [3]

Answer:

Step-by-step explanation:

rotation

3 0
3 years ago
The gravitational force exerted by the planet Earth on a unit mass at a distance r from the center of the planet is:
jolli1 [7]

Answer:

Yes, F is a continuous function of r

Step-by-step explanation:

We are given that

When r<R

F(r)=\frac{GMr}{R^3}

r\geq R

F(r)=\frac{GM}{r^2}

Where M=Mass of the earth

R=Radius of earth

G=Gravitational constant

We have to find the function is continuous of r or not.

LHL

\lim_{r\rightarrow R-}\frac{GMr}{R^3}=\frac{GMR}{R^3}=\frac{GM}{R^2}

RHL

\lim_{r\rightarrow R+}\frac{GM}{R^2}=\frac{GM}{R^2}

F(R)=\frac{GM}{R^2}

When a function is continuous at x=a

Then, LHL=RHL=f(a)

RHL==LHL=F(R)

Hence, the function is continuous of r.

8 0
3 years ago
Ap Stats can someone please explain how I can solve and answer this.
lisabon 2012 [21]

Answer:

just substitute x for 5 and then solve and then substitute x for -1 and solve and subtract the two answers you get

6 0
3 years ago
Factor 5w + 20 please and show your work. I need help
mars1129 [50]

The factored version of the above statement would be 5(x + 4)

In order to find this, you need to find the greatest common factor of the two coefficients. First, list the factors of each.

Factors of 5: 1, 5

Factors of 20: 1, 2, 4, 5, 10, 20

Since the highest that exists in both lists is 5, we can divide both terms by 5 and pull it out of the parenthesis like this:

5(w + 4)

Which is your final answer

7 0
3 years ago
Read 2 more answers
Kayla used 3 cups of flour to bake 24 muffins. How many muffins can Kayla
MrRa [10]

Answer:

32 muffins

Step-by-step explanation:

24/3=8  8x4=32

32 muffins

6 0
3 years ago
Other questions:
  • The vertex of a quadratic function is located at (1, 4), and the y-intercept of the function is (0, 1). What is the value of a i
    6·2 answers
  • A cashier has only one-dollar bills, quarters, and dimes. List 9 ways you could receive $2.50 in change.
    6·1 answer
  • Who knows this work?
    12·2 answers
  • Deepak spent 178$ on food last month if he reduces by 15% the next month how much will he spend
    15·1 answer
  • Solve the inequality 48 &lt; –3x.
    8·1 answer
  • The mass of a dust particle is 0.000000000753 kg. How would this number be written in scientific notation? 753 * 10-10 7.53 * 10
    13·1 answer
  • If you vertically stretch the exponential function f(x) = 2X by a factor of 5, what
    5·1 answer
  • F=9/5c+32<br><br> Solve for c
    7·2 answers
  • I am not sure if my son got the first answers right and he is stuck on the last three. The teacher did not provide good instruct
    12·1 answer
  • Convert 62% into a fraction
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!