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

need help please help help help help

Answers

Answer:

I'm pretty sure it's 87 degrees

Step-by-step explanation:

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!

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

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

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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Simplify.

(19) ×(12)2
Question 5 options:

118

1324

136

19

Answers

456. none of the other options make sense

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.

How do you write 7,800 in scientific notation?

Answers

Answer:

7.8 x 10^3

Step-by-step explanation:

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

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:

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

6-2x+x+8 giving 50 pts​

Answers

Answer:

-2=3x

Step-by-step explanation:

Answer:

-2=3x

Step-by-step explanation:

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 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

Ayuda por favor es para una tarea!!

Answers

Answer:

m<PAT = 41°

m<TAY = 41°

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!

three quantities that depend on time

Answers

Answer:

Velocity, Acceleration, Speed

Step-by-step explanation:

Velocity,acceleration,speed

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

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!

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 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

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:

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

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

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! :)

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

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.

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%

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

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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