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
dem82 [27]
1 year ago
9

Car X weighs 136 pounds more than car Z. Car Y weighs 117 pounds more than car Z. The total weight of all three cars is 9439 pou

nds. How much does each car weigh?
Mathematics
1 answer:
Aleksandr [31]1 year ago
4 0

Let x, y and z denote the weighs of car X, car Y and car Z, respectively.

We know that car X weighs 136 more than car Z, this can be express by the equation:

x=z+136

We also know that Y weighs 117 pounds more than car Z, this can be express as:

y=z+117

Finally, we know that the total weight of all the cars is 9439, then we have:

x+y+z=9439

Hence, we have the system of the equations:

\begin{gathered} x=z+136 \\ y=z+117 \\ z+y+z=9439 \end{gathered}

To solve the system we can plug the values of x and y, given in the first two equations, in the last equation; then we have:

\begin{gathered} z+136+z+117+z=9439 \\ 3z=9439-136-117 \\ 3z=9186 \\ z=\frac{9186}{3} \\ z=3062 \end{gathered}

Now that we have the value of z we plug it in the first two equations to find x and y:

\begin{gathered} x=3062+136=3198 \\ y=3062+117=3179 \end{gathered}

Therefore, car X weighs 3198 pound, car Y weighs 3179 pounds and car Z weighs 3062 pounds.

You might be interested in
Eddie's overtime is figured on a 40-
kykrilka [37]

Answer:

597.6 Dollars

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Can someone help me with this math problem ​
Arte-miy333 [17]

Answer:

5370

Step-by-step explanation:

8 0
3 years ago
The area of the entire figure below is 1 square unit.
castortr0y [4]

Answer:

the area of the striped rectangle= length ×breadth

8 0
2 years ago
Read 2 more answers
In the diagram below DE is parallel to XY. What is the value of y?
jeka94

it would be 94 hope this helps

7 0
3 years ago
Read 2 more answers
Which of these two expressions represent the phrase "five plus two times a number"? A. 5n+2n and 2n+5n B. 5+2n and 2+5n C. 2n+5
Allushta [10]

Answer:

It would be D because you are timing 2 by a number which would have n together

Hope this helped

3 0
3 years ago
Other questions:
  • A model for the basal metabolism rate, in kcal/h, of a young man is R(t) = 95 − 0.18 cos(πt/12), where t is the time in hours me
    12·1 answer
  • Write the sum or difference in the standard form a + bi.( 3 + 3i) - ( -6 + i)
    9·1 answer
  • Mr.Ravenheads car averages 23.75 miles per gallon of gasoline. Express this amount as a mixed number in simplest form.
    12·1 answer
  • What is 44/6 as a mixed number?
    15·1 answer
  • Part A: Factor 5x2b^2 + 14xb^2 − 3b^2. Show your work. (4 points)
    10·1 answer
  • What is the length of AB?
    10·2 answers
  • Liam is setting up folding chairs for a meeting. If he arranges the chairs in 6 rows of the same length, he
    8·1 answer
  • Evaluate 3a + 24 ÷ 2 + 2(3 + 7), if a = 2.
    10·2 answers
  • 33)
    5·2 answers
  • Where do you get .28 from ?
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!