Solve the real-world situation by using the substitution method.
The number of DVDs sold at a store in a month was 923 and the number of DVDs sold decreased by 12
per month. The number of Blu-ray Discs sold in the same store in the same month was 505 and the
number of Blu-ray discs sold increased by 26 per month. Let d represent the number of discs sold and t
represent the time in months.
The system of equations
{d=923-12t
{d=505+26t
can be used to represent this situation.
If this trend continues, how many months will the number of DVDs sold equal the number of Blu-ray discs
sold? How many of each is sold in that month?
There will be ____ DVDs and Blu-Ray discs sold per month in ____ months.

Answers

Answer 1

Answer:

In 11 months, the number of DVDs sold and Blue-Ray discs sold will be same, 791 of each.

Step-by-step explanation:

In the equation d = 923-12t, substitute 505+26t (from the second equation) for 'd'. We get

505 + 26t = 923 - 12t

-505 + 12t   -505 + 12t

38t     =       418

t=11

d = 923-12(11) = 791

d = 505+26(11) = 791

After 11 months, selling 791 of each.

Hope this helps.

Answer 2

Answer:

791

Step-by-step explanation:


Related Questions

The table below lists the coordinates of four points. If x represents any number in any number in the first column, which expressions can always be used to find the value of y in the second column?

Answers

Answer:

2x + 3

Step-by-step explanation:

Sara wants to buy a new tennis racket for $120. She currently has $40
and is saving $10 per week. The store owner is decreasing the price of
the tennis racket $5 every week he doesn't sell it. How many weeks
until she has enough money to buy the racket?.
weeks

Answers

Answer:

7 weeks

Step by step explanation:

Please help ASAP Which equation represents the function graphed
on the
coordinate plane?

Answers

Answer:

g(x) = |x + 4| - 2

I recommend next time you try substituting the x-values from points the line meets into each function until g(x) matches the y-value. For example, the line/function passes through the point (1, 3).  Substitute the x-value: 1 into the function where it says x. That would give you 3 = |1 + 4| - 2. (If you're wondering where I got 3 from g(x) is basically the same as y. Simplify the values in the "||" first. You should then get 3 = 5 - 2. Simplify that and you get 3 = 3 which means g(x) = |x + 4| - 2 is the correct answer. If you were to get anything else other than 3 such as "3 = 4", it would not be correct.

Answer:

A

Step-by-step explanation:

100 on my unit review

what is the quotient?

Answers

Answer:

the answer is 4x [tex]10^{2}[/tex]

Step-by-step explanation:

I hope this helps

have a nice day/night

Mark brainiest please

Answer:

First of all, a quotient is a number that the answer to a division number basically. So, I think the best answer would be the first choice: 4 times 10 with an exponent of 12. I think that is the correct answer.

NEED ANSWER ASAP! ON A TIMED TEST!

Four chords are drawn in the figure below, creating a quadrilateral with every vertex on the circle.

Using the special properties of this figure, determine m

Answers

Answer:

21°

Step-by-step explanation:

<DCB = 3x + 8°

< DAB = 5x + 4°

Now

<DCB + <DAB = 180° { being opposite angles of cyclic quadrilateral }

3x + 8° + 5x + 4° = 180°

8x + 12° = 180°

8x = 180° - 12°

8x = 168°

x = 168° / 8

Therefore x = 21°

Hope it will help :)

What is the equation of a line perpendicular to y= 3x +6 that crosses the ordered pair (3,2).
(Hint: a line perpendicular to an equation has an opposite reciprocal slope)

Answers

Answer:

y=-[tex]\frac{1}{3}[/tex]x+3

Step-by-step explanation:

a polygon is a figure that curves
a)true
b)false
c)both a and b
d)incorrect
explain your answer:❤​

Answers

Answer:

I think that it would be true.

Step-by-step explanation:

I think it's true, because it has the union of three or more line segments whose endpoints meet.

Kelvin's math average is 75 and he wants to increase it to 89. He decides
that a 12% increase will allow him to reach his goal. Is he correct? Why or
why not?

Answers

Answer:

incorrect its actually 14%

Step-by-step explanation:

What rule is shown by this input/output table and coordinate plane?

A. add 3
B. subtract 3
C. divide by 2
D. multiply by 2

Answers

The answer to this problem is B. Subtract 3

Answer:

B

Step-by-step explanation:

subtract 3

input and output always input should be your first one.

So, 6-3=3  7-3=4  8-3=5

9-3=6 10-3=7

Hope this helps u:)

Pls mark brainlist

Layla was out at a restaurant for dinner when the bill came. Her dinner came to $9. After adding in a tip, Before tax, she paid $10.80. Find the percent tip.

Answers

Answer: 12%

Step-by-step explanation:

9(3+v)
answer pleaseee

Answers

Answer:

27+9v

Step-by-step explanation:

distribute



It’s distributing. You multiply 9 with 3 and v. And the answer will be :


= 27+9v

I need the solution. Please give steps
y = 10x + 20
y = 20x + 10

Answers

Answer:

If your trying to answer for X, here is how you do it.

For the equation '' Y = 10x + 20 '', isolate the variable 'X' by dividing each side by factors that don't contain the variable 'X', to get your answer:

X =  Y/10 − 2

Or

X = [tex]\frac{Y}{10}[/tex] − 2

For the other equation " Y = 20x + 10 ", it's the exact same thing. Isolate the variable 'X' by dividing each side by factors that don't contain the variable 'X', to get your answer:

X = Y/20 − 1/2

Or

X = [tex]\frac{Y}{20}[/tex] − [tex]\frac{1}{2}[/tex]

Id.k uhhhh

X = 30?

wee e wee e we

I dont got steps sorry :v

what's bigger -1/5 or -0.9

Answers

Answer:

-1/5

Step-by-step explanation:

-1/5=-0.2

-0.9<-0.2

The mean average of 4 numbers is 88 what is the fourth number if three of the numbers are 80 95 and 85?

Answers

Answer:the fourth number is =97

Step-by-step explanation:

Mean = total number of the given numbers( x1 +x2+ x3....) /  numbers given

Let the fourth number be x

given that the mean of 4 numbers = 88 and only 3 numbers are given

such that

Mean = total number of the given numbers( x1 +x2+ x3....) /  numbers given becomes

88=  (80 +90 + 85 + x ) / 4

88 x 4 =80 +90 + 85 + x

352=255+x

x= 352-255

x=97

11 The table below shows the amount of a decaying
radioactive substance that remained for selected
years after 1990.
0
2
5
9
14
17
19
Years After 1990 (X)
Amount (9)
750
451
219
84
25
12
8
Write an exponential regression equation for this
set of data, rounding all values to the nearest
x thousandth. Using this equation, determine the
amount of the substance that remained in 2002, to
the nearest integer

Answers

Answer:

65g52378

Step-by-step explanation:


Which represents g(x)?

Answers

Answer:

a

Step-by-step explanation:


What is the value of x?

Answers

Answer:

4x= 40

Step-by-step explanation:

40/4 = 10

4x= 40 is the correct answer

(PLEASE HELP)Solve the given system using your choice of either graphically or algebraically. Show and explain all work.
y = 2x - 4
x + 2y = 12

Answers

Answer:

algebraically.

y = 2x - 4........….....(1)

x + 2y = 12..............(2)

substituting the value of y in equation (2) we get

x+2(2x - 4)=12

x+4x-8=12

5x=12+8

x=20/5=4

substituting the value of x in equation(1) we get

y=2×4-4=8-4=4

:.(x,y)=(4,4)answer

The value of x = 4

The value of y = 4

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the first equation be = A

Let the second equation be = B

Now ,

y = 2x -4

Subtracting 2x on both sides , we get

y - 2x = -4   be equation (1)

And ,

x + 2y = 12   be equation (2)

Now , on simplifying the two equations , we get

Multiply equation (1) by 2 , we get

2y - 4x = -8   be equation (3)

Now , subtract equation (3) from equation (2) , we get

5x = 20

Divide by 5 on both sides , we get

x = 4

Therefore , the value of x is 4

Substitute the value of x in equation (2) , we get

4 + 2y = 12

Subtracting 4 on both sides , we get

2y = 8

Divide by 2 on both sides , we get

y = 4

Therefore , the value of y is 4

Hence , The value of x and y is 4

To learn more about equations click :

https://brainly.com/question/10413253

#SPJ2

Please answer the correctly in the picture below 8TH GRADE MATHENMATICS?!

Answers

Answer:

B 3.5

Step-by-step explanation:

Hope it Helps!

3.5

Hope it helps my freind

Find the best buy between 6.2 oz. for $2.97 or 8 oz. for $3.47.

Answers

Buying 6.2 oz for $2.97 is the better buy.

5( 2a + b - 8) =
......................................

Answers

Answer:

10a+5b-40

Step-by-step explanation:

5(2a+b-8)

Distribute

5(2a)+5(b)-5(8)

10a+5b-40

Answer:

10a+5b-40

Step-by-step explanation:

distribute to get the simplified version

10a+5b-40

40
15
6
x+1
solve for x

Answers

Answer:

4

Step-by-step explanation:

i do not understand how to explain this in english . i am sorry

what is the inverse of f(x)=2-2x

Answers

In the usual sense, it has no inverse function. Since it is not an injection (f(0)=f(2)=0), an inverse function would have to map 0 both to 0 and 2, and that’s impossible.

However, if you restrict the domain to [1,+oo> (to make it injective), and the codomain to [-1,+oo> (to make it surjective), then it has an inverse function, given by g(y)=1+sqrt(y+1).

If D varies directly with t and D is 105 when t is 3, find D when t is 8.

Answers

Answer:

280

Step-by-step explanation:

answer is 280

Answer:

answer is 280

Step-by-step explanation:

d=xt

105=x3

35=x

d=35*8

d=280

What is 4/9 closest to 0,1/2 or 1

Answers

Answer:

1/2

Step-by-step explanation:

4/9 is equal to 4.444 repeating so that would be closest to 1/2

the correct answer is 0.44 which is closer to 0.5

Drag each number to the correct location on the table.
Classify each number according to its value.
3.2 x 105
1.9 x 101
2.2 x 10
2.4 x 10°
5.9 x 102
6.1 x 10
2.5 x 104
Greater than 2.4 x 104
Between 1.2 x 102
and 2.4 x 104
Less than 1.2 x 102

Answers

Answer:

3.2 x 10^5 goes in greater than 2.4 x 10^4

1.9 x 10^-1 goes in less than 1.2 x 10^2

2.2 x 10 goes in less than 1.2 x 10^2

2.4 x 10^3 goes in between 1.2 x 10^2 and 2.4 x 10^4

5.9 x 10^2 goes in between 1.2 x 10^2 and 2.4 x 10^4

6.1 x 10 goes in less than 1.2 x 10^2

2.5 x 10^4 goes in greater than 2.4 x 10^4

Step-by-step explanation:

First let's find out what 2.4 x 10^4 and 1.2 x 10^2 is.

2.4 x 10^4 = 24000

1.2 x 10^2 = 120

3.2 x 10^5 is obviously greater than 2.4 x 10^4 because the exponent of ten in 3.2 x 10^5 is one more value than the exponent in 2.4 x 10^4. The decimal is also greater.

1.9 x 10^-1 = .19, which is less than 1.2 x 10^2

2.2 x 10 = 22, less than 1.2 x 10^2

2.4 x 10^3 = 2400, in between 1.2 x 10^2 and 2.4 x 10^4

5.9 x 10^2 = 590, in between 1.2 x 10^2 and 2.4 x 10^4

6.1 x 10 = 61, less than 1.2 x 10^2

2.5 x 10^4 we can solve without doing the math, 2.5 is greater than 2.4 meaning the product will be greater, to check I did the math 2.5 x 10^4 = 25000, greater than 2.4 x 10^4

P.S Next time right ^ before the exponents, so we know they are exponents

what is the equation for y=(1/4)^x+1

Answers

Answer:

A:(1,-3/4)

Step-by-step explanation:

Use substitution to solve the system

y= 1/4x-1

y= -1/2x-1/4

1/4x-1 = -1/2x-1/4, Solve for x

3/4x= 3/4, x = 1, Next solve for y by plugging the x-value into either equation.

y=1/4(1)-1

y=-3/4

1/3 + (3x+12) = 6x -11

Answers

Answer:

x = 70/9

Step-by-step explanation:

Answer:

70/9

Step-by-step explanation:

Can someone help me with this please

Answers

12x + 13y 13x + y and 2(x+8)

You want to buy a pet lizard that costs ​$45. You already have ​$14 and you plan to save ​$7 per week. If w represents the number of weeks until you have enough money to buy the ​, what equation could you use to find the value of​ w? Explain how you could set up an equation to find the amount of money you should save each week if you want to buy the lizard in 3 weeks.

Answers

9w+12
9*6+12 OR 9(6)+12
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