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

A Video Game System And Several Games Are Sold For $652. The Cost Of The Games Is 3 Times As Much As

Answers

Answer 1

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

∵ [tex]\frac{4x}{4}=\frac{652}{4}[/tex]

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


Related Questions



Acme is selling a 6 pound turkey for $25.50.
Write the rate
What is the unit rate

Answers

Answer:

$4.25 each pound

Step-by-step explanation:

To find the unit rate you want to divide the price by the pound

25.50 / 6 = 4.25

Therefore it's $4.25 each pound which is the unit rate

I need help with this

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Answer:

y=-1/3x+2

Step-by-step explanation:

What is the answer to 15x+9 when x=−1.

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Answer:

The answer is -6.

Step-by-step explanation:

PLZ HELP I SUCK AT MATH :( JUST LIKE MY USERNAME SAYS :(
Which of the following equations have exactly one solution?
Choose all answers that apply:

(Choice A)
-19x + 18 = -19x + 18

(Choice B)

-19x -18 = -19x + 18

(Choice C)

19x + 18 = -19x + 18

(Choice D)

19x - 18 = -19x + 18

Answers

Answer:

Option C and Option D have exactly one solution.

Step-by-step explanation:

The equation will have exactly one solution when it completely solves and we get value of x.

Checking all choices

(Choice A)

-19x + 18 = -19x + 18

-19x+19x=18-18

0=0

(infinite solutions)

(Choice B)

-19x -18 = -19x + 18

-19x+19x=18+18

0≠36

(no solution)

(Choice C)

19x + 18 = -19x + 18

19x+19x=18-18

38x=0

x=0

(One solution)

(Choice D)

19x - 18 = -19x + 18

19x+19x=18+18

38x=36

x=36/38

x=18/19

(One solution)

So, Option C and Option D have exactly one solution.

The number 0 is a solution to which of the following inequalities? Select all that apply. x – 5 ≤ -3

Answers

Answer:

The number 0 is a solution to that specific inequality

Step-by-step explanation:

0-5 <- -3

-5 <- -3

-3 is greater than -5

It S.P. =Rs810, loss percent=10% find C.p​

Answers

Answer:

x=900

Step-by-step explanation:

100-10=90

90/100=0.9

x*0.9=810

x=810/0.9

x=900:)

hope it helps!!

Have a great day

A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks the players to run from one corner to the other corner across the middle of the field.

Answers

Answer:

And the question is???

Answer:

Step-by-step explanation:

use the pythagorean therom:

a^2 + b^2 = c^2

substitute in your values

90^2 +120^2=c^2

multiply

8100+14400=c^2

add

22500=c^2

take the square root of both sides

c= 150 meters :)

Please help!!!!!!!!!

Answers

Answer:

ascending order:

angle KLM

angle KML

angle LKM

Step-by-step explanation:

angle opposite to the largest side is the largest angle:

largest angle = angle LKM

angle opposite to the smallestest side is the smallest angle:

smallest angle = angle KLM

???????????????????????

Answers

Multiply by -2 to get rid of fraction.
But I don’t see it there

Answer:

I can't see the yellow..... but it should be subtract 10 from both sides!

So the answer is cyan or light blue (2nd one)

Step-by-step explanation:

Hope this helps! Mark as Brainliest!

Which statement is a valid claim that could be made using the data in the graph?
Directional selection is occurring because the graph favors an extreme.
Stabilizing selection is occurring because the average is favored.
Disruptive selection is occurring because the two extremes are favored.
Biodiversity variation is occurring because there is an increase in trait variation.

Answers

Stabilizing selection is occurring because the average is favored.

If its the same graph im thinking of.

The correct statement is a valid claim that could be made using the data in the graph is,

B) Stabilizing selection is occurring because the average is favored.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Now, On this graph we can observe the workings of the stabilizing selection.

Since, Stabilizing selection tends to favor the average phenotype and eliminate the extremes.

Essentially, this means that the natural selection is selecting the mean value of a trait as optimal.

Hence, In our case, the mean weight of newborns is selected as optimal, because newborns born with less weight can be too weak to survive and the ones that have too much weight (are too big) can hurt the mother during birth.

Thus, The correct statement is a valid claim that could be made using the data in the graph is,

B) Stabilizing selection is occurring because the average is favored.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ5

A store donated 2 1/4 cases of crayons to a daycare center. Each case holds 24 boxes of crayons; each box holds 8 crayons. How many crayons did the center receive?

Answers

Answer:

432 crayons

Step-by-step explanation:

convert 2 1/4 to 9/4

1 case=24 boxes=8 crayon in each box

24*8=192 for 1 case

9/4*192=432

The center received 432 crayons  

Classify this polynomial.
2n

A:Liner
B:quadratic
C:cubic
D:none of these

Answers

Answer:

Step-by-step explanation:

this polynomial is to thhe first degree 2[tex]n^{1}[/tex] so is a linear one

how to write this numbers in word 30.659

Answers

Answer:

thirty and six hundred fifty-nine thousandths

Step-by-step explanation:

I NEED HELP ASAP, WILL MARK BRAINLIEST Find the value of y. Round to the nearest tenths place. ​

Answers

Answer:

Side a = 1

Side b = 0.5

Side c = 0.86603 = √3/2

Nearest tenths is 0.9

Step-by-step explanation:

The following is one way to perform the calculation. It may not be the best way.

Calculates 2 sides based on 3 given angles and 1 side.

b = a·sin(B)/sin(A) = 0.5

c = a·sin(C)/sin(A) = 0.86603 = √3/2

Area =  

ab·sin(C)

2

= 0.21651

Perimeter p = a + b + c = 2.36603

Semiperimeter s =  

a + b +c

2

= 1.18301

Height ha =  

2×Area

a

= 0.43301

Height hb =  

2×Area

b

= 0.86603

Height hc =  

2×Area

c

= 0.5

Median ma = √(a/2)2 + c2 - ac·cos(B) = 0.5

Median mb = √(b/2)2 + a2 - ab·cos(C) = 0.90139

Median mc = √(c/2)2 + b2 - bc·cos(A) = 0.66144

Inradius r =  

Area

s

= 0.18301

Circumradius R =  

a

2sin(A)

= 0.5

0.86 is more than 0.85 so the nearest tenths place has to be 0.9

I will also post questions and you please answer them

Identify the terms of this expression
w+5w2+2w2-7w

Answers

━━━━━━━☆☆━━━━━━━

▹ Answer

w, 5w², 2w² and -7w

▹ Step-by-Step Explanation

Terms are the values which are seperated by the plus sign (+) or the minus sign (-).

In this case, we have w + 5w² + 2w² - 7w

We can see that there is a total of 3 signs, two plus signs (+) and one minus sign (-).

Therefore, our terms will be w, 5w², 2w² and -7w. There is a total of 4 terms in this expression.

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

i rlly need help; finding angles

Answers

Answer:

1=35 find angle 2 80+65-180=35

2= 65 vertical angles are congruent ex 115-180

3=29 ex. 90+65-180=29

4= 115 vertical angle congruent

5=65 vertical angles are congruent ex 115-180

6=65 35+80-180=65

7=144

Answer:

∠1 = 35                  ;      ∠2 = 65       ;    3 = 29       ;      ∠4 = 115  

∠5 = 65               ;      6 = 36       ;   ∠7 = 144

Step-by-step explanation:

∠4 = 115                              {Vertically opposite angles}

∠5 + 115 = 180                  {linear pair}

         ∠5 = 180 - 115

        ∠5 = 65

∠2 = ∠5         {Vertically opposite angles}

∠2 = 65

∠1 + 80 +∠2 = 180   {Angle sum property of triangle}

∠1 + 80 + 65=180

       ∠1 + 145 = 180

               ∠1 = 180 - 145

∠1 = 35

∠5 + ∠7 + 90 + 61 = 360   {angle sum property of quadrilateral}

65 + ∠ 7 + 90 + 61 = 360

          ∠7 + 216      = 360

                    ∠7      = 360 - 216

                       ∠7 = 144

∠6 + ∠ 7 = 180   {linear pair}

∠6 + 144 = 180

          ∠6 = 180 - 144

          ∠6 = 36

∠3 + ∠4 +∠ 6 = 180        {angle sum property of triangle}

∠3 + 115 + 36 = 180

      ∠3 + 151  = 180

               ∠3 = 180 - 151

               ∠3 = 29

Which ratio is not equivalent to 5 : 8?

Answers

Answer:

10 / 28

Step-by-step explanation:

Find the slope of the line y = –5x − 1

Answers

Answer:

-5

Step-by-step explanation:

The function follows y = mx + b form where m is the slope.

m = -5

The slope is -5

Answer:

-5

Step-by-step explanation:

the equation is written in form y = mx + b

The m is the slope and the b is the y intercept.

So the m in the equation is -5.

Helppp! (m−3+4n)⋅(−8)

Answers

Answer:

-8m + 3 - 32n

Step-by-step explanation:

Distributive Property

-8m + 3 - 32n

the graph shows the solution to which inequality
y>2/3x+1

Answers

Answer:

 The graph shows the solution to which inequality y>2/3x+1.

Step-by-step explanation:

hope that helps

hellllpppppp meeeeeee please​

Answers

Answer:

#3

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

[tex]\frac{7x}{2} <5\\7x<10\\x<\frac{10}{7}[/tex]

Question 3
~ True or false?

Answers

Answer:

It is true

Step-by-step explanation:

20/-7 is ~2.56

-2.8 (8 repeating) is -2.8......

So it is true

Hope this helps!

Answer:

True

Step-by-step explanation:

Find the slope of each line.
1)
(-1, 1), (-1, 4)

Answers

Answer:

The slope is undefined

Step-by-step explanation:

The equation of the line is x=-1 and this equation’s slope is undefined because it’s a vertical line.

Hope this helps and answers your question :)

Answer:

The line presented has an undefined slope.

Step-by-step explanation:

We are given two points of a line: (-1, 1) and (-1, 4).

Coordinate pairs in mathematics are labeled as (x₁, y₁) and (x₂, y₂).

The x-coordinate is the point at which if a straight, vertical line were drawn from the x-axis, it would meet that line.The y-coordinate is the point at which if a straight, horizontal line were drawn from the y-axis, it would meet that line.

Therefore, we know that the first coordinate pair can be labeled as (x₁, y₁), so, we can assign these variables these "names" as shown below:

x₁ = -1y₁ = 1

We also can use the same naming system to assign these values to the second coordinate pair, (-1, 4):

x₂ = -1y₂ = 4

We also need to note the rules about slope. There are different instances in which a slope can either be defined or it cannot be defined.

Circumstance 1: As long as the slope is not equal to zero, there can be a

positive slope, [tex]\frac{1}{3}[/tex]negative slope, [tex]-\frac{5}{6}[/tex]

Circumstance 2: If the slope is completely vertical (there is not a "run" associated with the line), there is an undefined slope. This is the slope of a vertical line. An example would be a vertical line (the slope is still zero).

Circumstance 3: If the line is a horizontal line (the line does not "rise" at all), then the slope of the line is zero.

Therefore, a slope can be positive, negative, zero, or undefined.

Now, we need to solve for the line we are given.

The slope of a line is determined from the slope-intercept form of an equation, which is represented as [tex]\text{y = mx + b}[/tex].

The slope is equivalent to the variable m. In this equation, y and x are constant variables (they are always represented as y and x) and b is the y-intercept of the line.

We can do this by using the coordinates of the point and the slope formula given two coordinate points of a line: [tex]m=\frac{y_2-y_1}{x_2-x_1}.[/tex]

Therefore, because we defined our values earlier, we can substitute these into the equation and solve for m.

Our values were:

x₁ = -1y₁ = 1x₂ = -1y₂ = 4

Therefore, we can substitute these values above and solve the equation.

[tex]\displaystyle{m = \frac{4 - 1}{-1 - -1}}\\\\m = \frac{3}{0}\\\\m = 0[/tex]

Therefore, we get a slope of zero, so we need to determine if this is a vertical line or a horizontal line. Therefore, we need to check to see if the x-coordinates are the same or if the y-coordinates are the same. We can easily check this.

x₁ = -1

x₂ = -1

y₁ = 1

y₂ = 4

If our y-coordinates are the same, the line is horizontal.

If our x-coordinates are the same, the line is vertical.

We see that our x-coordinates are the same, so we can determine that our line is a vertical line.

Therefore, finding that our slope is vertical, using our rules above, we can determine that our slope is undefined.

Tell whether the rates form a proportion

28 points in 3 games; 112 points in 12 games
Yes
No

Answers

Answer: yes

Step-by-step explanation: the answer is yes

Help me on this please

Answers

Answer:

answer d

Step-by-step explanation:

negative exponents need to be put into the denom

You are at a parade looking up at a large balloon floating directly above the street. You are 60 feet from a point on the street directly beneath the baloon. To see the top of the baloon, you look up at an angle of 53°. To see the bottom of the ballon you look up at an an angle of 29°. Estiamte the height, h, of the balloon to the nearest foot. Answer with only the numeric value

Answers

Answer:

The height of the balloon is 46 feet.

Step-by-step explanation:

Let the height from the ground to the top of the balloon be represented by x. Applying the appropriate trigonometric function, we have;

Looking at the top of the balloon,

Tan θ = [tex]\frac{opposite}{adjacent}[/tex]

Tan 53° = [tex]\frac{x}{60}[/tex]

x = 60 x Tan 53°

  = 79.6227

x = 79.62 feet

Looking at the bottom of the balloon, let the height from the ground to the bottom of the balloon be represented by y.

Tan θ = [tex]\frac{opposite}{adjacent}[/tex]

Tan 29° = [tex]\frac{y}{60}[/tex]

y = 60 x Tan 29°

  = 33.2585

y = 33.26 feet

The height of the balloon = x - y

                                           = 79.6227 - 33.2585

                                           = 46.3642

The height of the balloon is 46 feet.

Can someone help I will brainlest

Answers

Your answer will be 2.4
2.4 I think. (Hope it’s right)

Find the inverse of the given function f(x)=-5x-9

Answers

The inverse is y= -(x+9)/5

Answer:

f-1(x)= x+9/-5

Step-by-step explanation:

1. To determine the inverse of the given function, first change f(x) to y. Then, switch x and y in the equation.

2. Now, solve the equation for y.

3. Finally, change y to f -1(x).

What is 0.5 x 10^5 in standard form.
+

Answers

Answer:

Step-by-step explanation:

0.5 ×10^5=5/10×10^5=5×10^4=50,000

Which temperature during the week is the closest to 0? Explain how you decided this using absolute value.

A -3.5 F
B 5 F
C 1.5 F
D -0.5
E -2 F
the rest of the choices 2.5 and -4

Answers

Answer: I would have to go with e because it is the closest because it is -2 and if it were to get to zero it wouldn't take that long.

Step-by-step explanation:

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