A video game costs $ 21 more than a controller. Together, the video gameand the controller cost $ 76. Determine the cost x of the controller
What is the cost of the game?

Answers

Answer 1

Answer:

Answer: The cost of the video game (x) is $48.50 and the cost of the controller (y) is $27.50

Step-by-step explanation:

A video game (X) costs $21 more than a controller (y), this is (y+21=x). Together, the video game and the controller cost $76 (x+y=76). Determine the cost of x of the controller. What is the cost of the game?

We have to find x and y.

Our equations are:

$x=y+21\nx+y=76$

We can replace x in the second equation by our respective value of x shown in the first equation.

$x+y=76\n(y+21)+y=76\ny+21+y=76\n2y=76-21\n2y=55\ny=(55)/(2)\n y=27.50$

Now replace to find x.

$x+y=76\nx=76-y\nx=76-27.50\n x=48.50$

Related Questions

What is the sum of the arithmetic sequence 8, 14, 20 ..., if there are 22 terms?
10 of 12 balloons at James party are filled with helium. In the simplest form, what fraction of the balloons are filled with helium
How can I use number patterns to find the lcm of 120 and 360
1. Mandy kept track of the trade-in value of a collector’s coin for several months through February of this year. She determined the line of best fit for the data was y = 4x + 12, where y is the trade-in value, in dollars, x months after February of this year. According to the equation, when will the trade-in value of the coin be $44? a) December of the same year b) October of the same year c) April of the following year d) June of the following year
A Florida factory produces fishing reels at a rate of 800 per day, every day. In April, theyare forced to cut their production by 1/5due to an aluminum shortage.A chain of sporting goods stores orders 20,000 fishing reels. Will the factory be able toproduce enough fishing reels in the 30 days of April to meet this order? Explain how youknow

What is the Constant in this expression 5x+10?

Answers

The Constant in this expression 5x+10 is 10.

What is Expression?

A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:

An absolute numerical number is referred to as a constant.
Variable: A symbol without a set value is referred to as a variable.
Term: A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.

Given:

Expression: 5x+10

The terms in an expression is 5x and 10.

As, the constant is the number whose value does not change in remain constant and is withoutvariable.

Thus, the constant is 10.

Learn more about Expression here:

brainly.com/question/14083225

#SPJ6

Answer:

The constant in this equation is 10

Why?

A constant in an equation is a number that is on its own, or without a variable.

5x would not be a constant because they are not alone.

10 is the stand-alone number in this equation, therefore, 10 is the constant.

What happens to air when it is heated

Answers

Answer:

It expands

Step-by-step explanation:

The energy put into it causes it to move faster and expand

PLEASEHELP!!!!!!!!!!Write an expression to describe a rule of the sequence. Then find the 100th term in the sequence.
4, 9, 14, 19, 24, 29.....
A)4+5n;504
B)5n-1; 499
C) 5n; 500
D) 4n+5; 405

Answers

Answer:

Option B is correct

$a_n = 5n-1$ ; 499

Step-by-step explanation:

The nth term for the arithmetic sequence is given by:

$a_n = a_1+(n-1)d$ ....[1]

where,

$a_1$ is the first term

d is the common difference of two successive terms

n is the number of terms.

As per the statement:

4, 9, 14, 19, 24, 29.....

This is a arithmetic sequence.

Here, $a_1=4$ and d =5

Since,

9-4 = 5,

14-9 =5,

19-14 = 5 and son on....

Substitute the given values in [1] we have;

$a_n = 4+(n-1)5$

⇒ $a_n = 4+5n-5 = 5n-1$

⇒ $a_n = 5n-1$

We have to find the 100th term in the given sequence.

For n= 100

$a_(100) = 5(100)-1=500-1 =499$

⇒ $a_(100) = 499$

Therefore, an expression to describe a rule of the sequence is, $a_n = 5n-1$ and the 100th term in the sequence is 499

A) 4+5n;504 Would be ur answer!!

Hope i helped:P

How do i solve this

Answers

Answer:

it's going to be no solutions. it cancels itself out

Step-by-step explanation:

6x+6-3x=6+3x

3x+6=6+3x

Factor the trinormial S^2+8s+7

Answers

s^2 + s + 7s + 7 = s( s + 1 ) + 7( s + 1 ) = ( s + 1 )( s + 7 )

Antonio’s weekly allowance is given by the equation A=0.5c+10, where c is the number of chores he does. If he received $16 in allowance one week, how many chores did he do?