The expression 2.5a+2b gives the cost (in dollars) for a DVDs and b CDs at a moving sale. a. The cost for 1 DVD is $ and the cost for 1 CD is $ . b. The total cost for 4 DVDs and 4 CDs is $ . Question 2 c. Is $20 enough to buy 6 DVDs and 3 CDs?

Answers

Answer 1

Answer/Step-by-step Explanation:

Given:

a = no. of DVDs

b = no. of CDs

Total cost ($) for DVDs and CDs = [tex] 2.5a + 2b [/tex]

a. The cost for 1 DVD = 2.5(a) = 2.5(1) = $2.5

The cost for 1 CD = 2(b) = 2(1) = $2

b. Total cost for 4 DVDs and 4 CDs:

Substitute a = 4, and b = 4 into the equation.

[tex] 2.5(4) + 2(4) [/tex]

[tex] 10 + 8 = 18 [/tex]

Total cost for 4 DVDs and 4 CDs = $18

c. To find out if $20 would be enough to buy 6 DVDs and 3 CDs, substitute a = 6, and b = 3 into the equation. Solve for the total cost to see if it equals $20 or is less than $20. If it's greater than $20, then it won't be enough.

[tex] 2.5(6) + 2(3) [/tex]

[tex] 15 + 6 = 21 [/tex]

6 DVDs and 3 CDs cost more than $20, therefore, $20 is not enough.


Related Questions

Please order the following from least to greatest! ASAP
0.71, 3/4, 78%, 0.775, 7/9

Answers

Answer:

0.71, 3/4, 0.775, 7/9, 78%

Find the volume of the cylinder with the info below.
Distance from center to edge: 3 feet
Side length of the cylinder: 5 feet
Please help me out! I promise I will mark brainliest!

Answers

Answer: 141.3 in[tex]{3}[/tex]

1. V = πr[tex]{2}[/tex]h

2. V = (3.14)([tex]3{2}[/tex])(5)

3. V = 141.3 in.

Hope this answer helps you!

What is the solution to the equation 5x+0.25= 7x-0.05?

Answers

Answer: x=0.15

Step-by-step explanation:

5x+0.25=7x-0.05

5x+0.25-0.25=7x-0.05-0.25

5x=7x-0.3

5x-7x=7x-0.3-7x

-2x=-0.3

-2x/-2 = -0.3/-2

X=0.15

Hope this helps!

6-2x+x+8 giving 50 pts​

Answers

Answer:

-2=3x

Step-by-step explanation:

Answer:

-2=3x

Step-by-step explanation:

What is the slope of the line represented by 5x – 2y = 24?

Answers

The answer would be 5/2

Answer:

the slope is y=5/2x-12

Find the slope of the line that contains the points:(-6, 3) and (-4,5).

Answers

Answer:

Slope:1

Step-by-step explanation:

When finding the slope from 2 points, you subtract them y/x

(-6,3)

(-4,5)

-2,-2

Slope: (-2,-2)=1

y=x+b

Insert on of the the points, in this case, I will choose -6,3

3=-6+b

b=9

So slope intercept form, the answer will be y=x+9.

Since you are just finding the slope, the answer is just 1.

The slope of the line that contains the points:(-6, 3) and (-4,5) is 1.

What is the slope of the line?

You could be asked to determine a line's slope when working with linear equations. Knowing the slope formula in that situation is really helpful. Watch this lesson to learn the formula for calculating the slope of a line.

Given the coordinate of the line (-6, 3) and (-4,5).

Hence from the formula of the slope (m) =  [tex]\frac{y2 - y1}{x2 - x1}[/tex]

m = (5 - 3) / (-4 + 6)

m = 1

Therefore the slope of the line that contains the given points is 1.

Learn more about slope here:

https://brainly.com/question/15271574

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what is 2 to the power of 8 minus 10 minus 15 divided by 3

Answers

Answer:

241

Step-by-step explanation:

241

Answer:

241

Step-by-step explanation:

2^8 - 10 -15 / 3

256 - 10 - 15 / 3

256 - 10 - 5

246 - 5

241

Hope this helps!

A store buys 19 sweaters for $190 and sells them for $532. How much profit does the store make per sweater?​

Answers

Answer:

They made 342 dollars profit and only buyed them for 10 dollars each

Step-by-step explanation:

$2.80 each sweater

Step-by-step explanation:

Forget the 190, it is not necessary. We are focusing on 19, and 532.

To get the answer, divide 190 by 532. (532 / 190) you will get 2.80. That's how much profit the store makes per sweater.

Help with questions 15. Please i need it ASAP ‼️‼️‼️‼️

Answers

Answer:

The first one and the thirds one. (I’m pretty sure)

Step-by-step explanation:

A book was $30. The book is now on sale for $15. What is the percent decrease?
Helpp please

Answers

Answer:

50%

Step-by-step explanation:

Answer:

The answer is.5 or 50%

Step-by-step explanation:

15 is half of 30 and that means it decreased by half or 50%.

Hopefully this helps you

pls mark brainlest

Multi-step Equations
5) 5n + 34 = -2(1 - 7n)

Answers

n = 4

Distribute -2 so -2(1 - 7n) = -2 + 14n
Add 2 to each side 5n + 36 = 14n
Subtract 5n from each side 36 = 9n
Divide each side by 9 so 4 = n

Answer:

4

Step-by-step explanation:

if you do all the steps right you  should get 4

HELPPPPPPP ME PLSSSSS

Answers

Answer:

first one i believe is D

Step-by-step explanation:

sending one should be B

Answer:

SU

R

Step-by-step explanation:

Q1 B is the answer

Q2 B is the answer

help please can someone show me how to solve

Answers

Answer:

<DBC= 78

Step-by-step explanation:

since you already know what they equal all together

subtract 42 from 120

The answer is 78 because if the entire angle is 120 and it gives you that 1 part of the angle is 42 you would just subtract it. 120-42= 78

three quantities that depend on time

Answers

Answer:

Velocity, Acceleration, Speed

Step-by-step explanation:

Velocity,acceleration,speed

How do you write 7,800 in scientific notation?

Answers

Answer:

7.8 x 10^3

Step-by-step explanation:

help i need the answer ASAP

Answers

Answer:

you literly break down 10 to 6 then times the answer with 7

Step-by-step explanation:

answer:

i agree the answer is 7!

explanation:

hope this helped <3 also if wouldn't mind could you pls give me brainliest? (im trying to level up) thanks! :)

PLEASE HELP!! i will mark brainliest!!

Answers

Its the distance formula so it would be square root of [(15+3)^2+(-7-17)^2]=30

There are 4 quarters in 1 dollar the total number of dollars is a function of the number of quarters does this situation represent a linear or nonlinear function? Explain why

Answers

Answer:

sample answer:   If you make a table of values, you can see that 4 quarters equal 1 dollar and 8 quarters equal 2 dollars. If you graph the data, you will see a straight line. Therefore, this situation represents a linear function with a constant rate of change of 1/4

Step-by-step explanation:

The situation is a representation of the linear function.

What is meant by linear function?A linear function is one that, when graphed, produces a straight line. Thus, non-linear functions are any non-linear functions. Although graphing is the quickest way to determine whether a function is linear or non-linear, we can also determine linearity from its input/output table or equation. A straight line on the coordinate plane is represented by a linear function. For example, y = 3x - 2 denotes a straight line on a coordinate plane and, as such, a linear function.

Given that,

One dollar is divided into four quarters.

The total number of dollars is a function of the number of quarters.

Based on the information presented above, we can conclude that when the dollar represents y value and the quarter represents x value

As a result, the slope should be 1/4.

y = 1/4x should be the linear function.

Hence, As a result, we can conclude that the situation is a linear function.

To learn more about linear function, refer to:

https://brainly.com/question/15602982

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Ayuda por favor es para una tarea!!

Answers

Answer:

m<PAT = 41°

m<TAY = 41°

what is the inverse of function F f(x) 3-x/7

Answers

Answer: f^-1(x)=-7x+3 maybe ? i think

Step-by-step explanation:

help me I will give brainiest 10 points​

Answers

Answer:

1 solution

Step-by-step explanation:

-5(x-1)=25

-5x+5=25

-5x=20

x=-4

Simplify.

(19) ×(12)2
Question 5 options:

118

1324

136

19

Answers

456. none of the other options make sense

x-7(x-2)=10x+9-x
i need the answer asap pls

Answers

Step-by-step explanation:

x−7(x−2)=10x+9−x

Step 1: Simplify both sides of the equation.

x−7(x−2)=10x+9−x

x+(−7)(x)+(−7)(−2)=10x+9+−x(Distribute)

x+−7x+14=10x+9+−x

(x+−7x)+(14)=(10x+−x)+(9)(Combine Like Terms)

−6x+14=9x+9

−6x+14=9x+9

Step 2: Subtract 9x from both sides.

−6x+14−9x=9x+9−9x

−15x+14=9

Step 3: Subtract 14 from both sides.

−15x+14−14=9−14

−15x=−5

Step 4: Divide both sides by -15.

−15x−15=−5−15

x=13

Answer:

x=13

What are the slope and the y-intercept of the linear function that is represented by the table?

Answers

I need the pictures but the y slope is the top I hope this helps

A rock is tossed vertically from a height of 2m with an initial velocity of 20 ms-1. The height of the rock, h, after t seconds can be modeled by the polynomial function :h(t)=−4.9t2+20t+2, t≥0. Calculate how many seconds, rounded to three significant figures, it takes for the rock to hit the ground.

Answers

Answer:

The rock takes 4.18 seconds to hit the ground

Step-by-step explanation:

Function Model

The height of a rock h, after t seconds, can be modeled by the polynomial function:

[tex]h(t)=-4.9t^2+20t+2, t\geq 0[/tex]

When the rock hits the ground, the height is 0, thus we need to find the value of t such as:

[tex]-4.9t^2+20t+2=0[/tex]

A quadratic equation can be expressed as:

[tex]at^2+bt+c=0[/tex]

where a,b, and c are constants.

Solving with the quadratic formula:

[tex]\displaystyle t=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

The values for the given equation are:

a=-4.9, b=20, c=2

Applying the formula:

[tex]\displaystyle t=\frac{-20\pm \sqrt{20^2-4(-4.9)(2)}}{2(-4.9)}[/tex]

[tex]\displaystyle t=\frac{-20\pm \sqrt{400+39.2}}{-9.8}[/tex]

[tex]\displaystyle t=\frac{-20\pm 20.957}{-9.8}[/tex]

There are two possible solutions:

[tex]\displaystyle t=\frac{-20- 20.957}{-9.8}=4.18[/tex]

[tex]\displaystyle t=\frac{-20+ 20.957}{-9.8}=-0.1[/tex]

Since t > 0, the only solution is t=4.19 seconds

The rock takes 4.18 seconds to hit the ground

Lamar ordered some books online for 6$ each. He paid a total of 3$ for shipping. The total cost of the purchase was 75$ . How many books did he buy?

Answers

Answer:

He bought 12 books.

Step-by-step explanation:

Here is your equation: 6 b+3=75

Step 1- Subtract 3 from both sides: 6 b+3-3=75-3

6 b=72

Step 2- Divide by 6: 6 b/6=72/6

b = 12 books in total.

There are 90 males and 75 females that came to Jeff's house for a party. Jeff wants to split the males into equal groups and the females into equal groups to play a game. The groups of males and females must have the same amount of people. What is the greatest number of people that can be in each group?

Answers

Answer:

15 people

Step-by-step explanation:

We are told that there are 90 males and 75 females.

This question is a greatest common factor question.

We find the factors of 75 and 90

The factors of 75 are: 1, 3, 5, 15, 25, 75

The factors of 90 are: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Then the greatest common factor is 15.

The greatest number of people that can be in each group is 15

need help please help help help help

Answers

Answer:

I'm pretty sure it's 87 degrees

Step-by-step explanation:

Asap plzz i need it in at least in 10 min

Answers

Answer:

Step-by-step explanation:

if 12x= 4(x+5), x equals...

distribute the 4 to the x and

12x = 4x + 20

subtract the 4x on both sides

8x = 20

divide by 8

x = 20/8

simplify

x = 5/2

5/2 = 2.5 so the answer is D

Lisa and Lori each dried 1/3 of the glasses. What fraction of the glasses
remains for Katie to dry?

Answers

3/3-1/3= 2/3 of the glasses
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