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
umka2103 [35]
2 years ago
12

Two mechanics worked on a car. The first mechanic charged $55 per hour, and the second mechanic charged $60 per hour. The mechan

ics worked for a combined total of 20 hours, and together they charged a total of $1125. How long did each mechanic work?
​
Mathematics
1 answer:
Nady [450]2 years ago
8 0

Answer:

15 and 5 hours.

Step-by-step explanation:

Call x the time taken by the first chap, and y the second.

\left \{ {{x+y = 20 \atop {55x+60y=1125}} \right.

Let's divide by 5 and play with the LHS of the first equation a bit:

11x+ 11y +y = 225\\11(x+y)+y= 225 we know how much x+y is ( first equation!) let's solve.

11(20) +y = 225 \rightarrow y=5 At this point it's easy to check that x=15

You might be interested in
One letter is selected from the words "conditional probability." What is the probability that an "t" or "a" is chosen?
alexgriva [62]

Answer:

4 out of 22 = 4/22

Step-by-step explanation:

5 0
3 years ago
Given quadrilateral EFGH at e(-4,7) f(8,4) G(t,-5) and h(-7,-1) using coordinate geometry prove EFGH is a rectangle
Tcecarenko [31]

The above question was not properly written.

Complete Question

Given quadrilateral EFGH with vertices at E(-4,8), F(8,4), G(5,-5) and H(-7,-1), prove using coordinate geometry that EFGH is a rectangle.

Answer:

Quadrilateral EFGH is a rectangle.l because:

EF = GH and FG = EH

Step-by-step explanation:

The formula for coordinate geometry is given as :

√(x2 - x1)² + (y2 - y1)² when we have coordinates: (x1, y1) and (x2 , y2)

For the quadrilateral EFGH with given coordinates above to be a rectangle,

EF = GH

FG = EH

Hence:

For side EF

E(-4,8), F(8,4)

= √(8 - (-4))² + (4 - 8)²

= √12² + -4²

= √144 + 16

= √160 units

For side FG

F(8,4), G(5,-5)

=√(5 - 8)² + (-5 - 4)²

= √-3² + -9²

= √9 + 81

= √90 units

For Side GH

G(5,-5) , H(-7,-1)

= √(-7 - 5)² + (-1 - (-5))²

= √-12² + 4²

= √144 + 16

= √160 units

For side EH

E(-4,8), H(-7,-1)

= √(-7 -(-4))² +(-1 - 8)²

= √-3² + -9²

= √9 + 81

= √90 units

From the above calculation, we can see that truly,

EF = GH

FG = EH

Therefore, quadrilateral EFGH is a rectangle.

6 0
3 years ago
What expressions equal -3x^2-27
Lady_Fox [76]
Is that x for you to multiply or is that a variable.
8 0
3 years ago
3. If x2 + 4 = 29, then x2 - 4 = ?<br> A. 5<br> B. 121<br> C.<br> 21<br> D. 25<br> E. 33
EastWind [94]
Answer is c as x is 25/2
7 0
3 years ago
Read 2 more answers
1)<br> I<br> I<br> ? 20-<br> A) 999<br> C) 1219<br> B) 39°<br> D) 1020
WITCHER [35]

Answer:

C

Step-by-step explanation:

\angle{VUW} = 180 - 141 = 39

\angle{WVU} = 180 - (20 + 39) = 121

Answer: 121

8 0
3 years ago
Other questions:
  • What is the quotient 5^-6 over 5^3
    14·1 answer
  • I need help ASAP please and thank you!!:)
    14·2 answers
  • What is the value of k?
    6·1 answer
  • Use the graph of the sine function y = 2 sin θ shown below.
    11·1 answer
  • find how long it takes (in seconds) for a car to travel when the car is going a speed of 20mph on a 100 foot track.
    10·2 answers
  • Estimate the circumference of a circle that has a radius of 11 m.
    11·1 answer
  • What is the surface area of a square with radius 4?
    9·2 answers
  • uhh please help...ASAP.like please. Uhh I’ll give BRAINLIEST for the rig by answer- 2 or more people have to answer
    10·1 answer
  • If a machine that prints designs on T-shirts prints 500 shirts in 3 hours, how many hours will it take to print designs on 1300
    11·1 answer
  • Helppppppppppppppppppp
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!