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
SSSSS [86.1K]
3 years ago
10

A video game system and several games are sold for $652. The cost of the games is 3 times as much as the cost of the system. Fin

d the cost of the system and the cost of the games.
Cost of the video game system: $

Mathematics
1 answer:
vesna_86 [32]3 years ago
4 0

Answer:

The cost of the system is $163 and The cost of the games is $489

Step-by-step explanation:

∵ A video game system and several games are sold for $652

∵ The cost of the games is 3 times as much as the cost of the system

→ Assume that the cost of the system is $x

∵ The cost of the system = x

∴ The cost of the games = 3 × x = 3x

∵ The total cost of the system and the games = 652

→ Equate the sum of the cost of the system and the cost of the games

   by 652

∴ x + 3x = 652

→ Add the like terms in the left side

∴ 4x = 652

→ Divide both sides by 4 to find x

∵ \frac{4x}{4}=\frac{652}{4}

∴ x = 163

∵ The cost of the system = x

∴ The cost of the system is $163

∵ The cost of the games = 3x

∴ The cost of the games = 3(163) = 489

∴ The cost of the games is $489

You might be interested in
Find the slope and y-internet.
andreyandreev [35.5K]
Slop: second one (2/1)

Y-intercept: first one

Explanation
Slop is rise over run so how much it goes up or down on the top and how much it goes our right on the bottom

Y-intercept is where the point intersects with the y line so what point is on the y line
5 0
2 years ago
0.00000003 in scientific notation
tester [92]

Answer:

3×10x^{-8}

Step-by-step explanation:

0.00000003

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the  

10 . If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

6 0
3 years ago
Find an equation of the line passing through the pair of points. Write the equation in the form Ax +By = C.
Alexxandr [17]

9514 1404 393

Answer:

  5x -y = -37

Step-by-step explanation:

One way to find the coefficients A and B is to use the differences of the x- and y-coordinates:

  A = Δy = y2 -y1 = 2 -(-3) = 5

  B = -Δx = -(x2 -x1) = -(-7 -(-8)) = -1

Then the constant C can be found using either point.

  5x -y = 5(-7) -2 = -37

The equation of the line is ...

  5x -y = -37

_____

<em>Additional comment</em>

This approach comes from the fact that the slope of a line is the same everywhere.

  \dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{\Delta y}{\Delta x}\\\\\Delta x(y-y_1)=\Delta y(x-x_1)\qquad\text{cross multiply}\\\\\Delta y(x-x_1)-\Delta x(y-y_1)=0\qquad\text{subtract y term}\\\\\Delta y(x) -\Delta x(y) = \Delta y(x_1)-\Delta x(y_1)\qquad\text{Ax+By=C form}

The "standard form" requires that A be positive, so we chose point 1 and point 2 to make sure that was the case.

5 0
2 years ago
How do you do this? Someone give me the answer
Gemiola [76]
It would last 13.5 weeks because you would make a proportion:
12/16 = x/18 and then cross multiply. You would get 216=16x, then you have to divide both sides by 16 to get x = 13.5
4 0
3 years ago
7(x – 3) – 5(2x - 4) = 5​
WITCHER [35]

Answer:

-2

Step-by-step explanation:

7x-21-10x+20=5

7x-10x-1=5

-3x=5+1

x=-6/3

x=-2

7 0
3 years ago
Read 2 more answers
Other questions:
  • Is the equation always sometimes or never true . . 15+2x-4=9x+11-7x. . 2x+3(4x-1)=2(5x+3)+4x
    7·1 answer
  • A red die, a blue die, and a yellow die (all six sided) are rolled. we are interested in the probability that the number appeari
    9·1 answer
  • Claudia's skis are 150 centimeters long. how many meters is this?
    7·2 answers
  • Could some body help with this? Please and thank you :)
    10·1 answer
  • You are planning to run the distance on both Thursday and Friday. Write and solve an equation to find the number of mi. you need
    11·1 answer
  • Please pls pls asap help
    5·1 answer
  • What is the value of the expression (9 1/3)^3?
    12·1 answer
  • What should be added to 5xy to get 9xy​
    11·2 answers
  • Solve for x.<br><br> 2/x^2−4 − 1/x+2=3/x−2<br><br><br><br><br> −32<br><br> −12<br><br> 23<br><br> 2
    7·2 answers
  • The volume of a rectangular pyramid is 220 units^3
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!