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

Find the slope passes through (-5,2) and (3,3)

Answers

Answer:

1/8

Explanation:

y2-y1/x2-x1

3-2/3-(-5) = 1/8

Which number line correctly shows –3 – 1.5?
A number line going from negative 4.5 to positive 4.5. An arrow goes from 0 to negative 3 and from negative 3 to negative 4.5.
A number line going from negative 4.5 to positive 4.5. An arrow goes from 0 to 3 and from 3 to 4.5.
A number line going from negative 4.5 to positive 4.5. An arrow goes from negative 3 to negative 1.5 and from 0 to negative 3.
A number line going from negative 4.5 to positive 4.5. An arrow goes from negative 1.5 to 1.5 and from 0 to negative 1.5..

Answers

Answer:5.4

Step-by-step explanation:

A student evaluated −4 + (−9 1/2) and got an answer of 5 1/2. What might the student have done wrong?

Answers

Answer:

Never converted -9 1/2 into an improper fractionAdded the two numbers together instead of subtracted

I hope this helps!

10.
There are estimated 255 births every minute of every day. How many babies are born in the
world each hour?
255
6,120
12,250
15,300

Answers

Answer:

15,300

Step-by-step explanation:

multiply the estimated total number of births (255)

times 60 because there is 60 minutes in an hour

255*60= 15,300

Answer:

15,300

Step-by-step explanation:

1 hour: 60 minutes

60 x 255 = 15,300

can someone help out with this please? (i just put a random answer) but can someone help me out with the actual answer and explain how it’s the answer?

Answers

Answer:

distribute on each side is correct :)

A music player app has 2 gigabytes of storage and can hold about 500 songs. A similar, but larger app has 80
gigabytes of storage. About how many songs can the larger app hold?

Answers

Answer:

40,000 songs, I think

Step-by-step explanation:

The double number line shows that 4 bottled of water cost 20 dollars at a music

Answers

it should be the answer eighty

Please answer this question

Answers

Answer:

if it is a square, then it must be a quadrilateral

Perform the indicated operation.
4/11 ÷ 4/9

a. 1 2/9

b. 16/99

c. 9/11

please explain how to do it as well xc​

Answers

B?????????? I’m pretty sure

Find an equation of a line that is parallel to y = 4x + 5 and goes through the point (-1, 3)\

Answers

Answer:

y = 4 x + 7

Step-by-step explanation:

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

PLZ HELP ME! What is this! I need help! y = -3x/5 + 2

Answers

Answer:

That is the slope intercept form

Step-by-step explanation:

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!

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4.
3
2
1
-4 -3
-2
-1
1
2
CAS
3
4
-1-
1
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-3
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What is the slope of the line?

Answers

Answer:

1

Step-by-step explanation:

If you were to sketch a graph that shows the relationship between grams of honey and grams of salt
needed for a bakery recipe, what label (words) and scale (numbers) would you choose for the x-axis
and the y-axis?

Answers

answer

The horizontal (x) axis represents the categories; The vertical (y) axis represents a value for those categories.

Please I will give 5 points

Answers

Answer:B

Step-by-step explanation:

Joshua's cousin pledged $12 for a charity walk. If Joshua walked 3 miles, how much did his cousin pay per mile?

Answers

$12 divided by 3 miles = 4 dollars per a mile.would you mind marking me brainliest

Answer:

$4

Step-by-step explanation:


4. The cost of 21 TV sets is $95844. Find the cost of one TV set.

Answers

Answer:

4564

Step-by-step explanation: if need how to solve this pls comment on this post.

Help me plz!!!!!!!!!!!!!!!!!!

Answers

Answer:

[tex] 3 + w \geqslant 18[/tex]

Step-by-step explanation:

Sum of 3 and w = 3 +w

According to the given information:

[tex]3 + w \geqslant 18[/tex]

Answer:

3 + w [tex]\geq[/tex] 18

Step-by-step explanation:

The sum of 3 and w is greater or equal to 18.

So, we write 3 + w. We do not know if it is greater or equal.

So, we put an [tex]\geq[/tex] sign and then write 18.

Hope this helps!

Write the equation of the line through the points (-6, -19) and (2,5).

Answers

Answer:

m = 7/2              y = 7/2x + b

Step-by-step explanation:

If the measure of ∠2 is 83°, what is the measure of ∠3?

Answers

Answer:

97 degress

Step-by-step explanation:

2 and 3 form a supplementary angle, meaning the sum of their angles should equal 180.

The measure of ∠3 is 97°.

What are supplementary angles?

If two angles add up to 180 degrees, they are considered supplementary angles. When combined, supplementary angles form a straight angle of 180 degrees. In other words, if Angle 1 + Angle 2 equals 180 degrees, angles 1 and 2 are added together. Angles 1 and 2 are referred to as "supplements" of one another in this instance.

Given two lines intersect and form angles

∠1, ∠2, ∠3, ∠4

and ∠2 = 83°

here ∠2 and ∠3 form supplementary angles,

them ∠2 + ∠3 = 180°

83 + ∠3 = 180

∠3 = 180 - 83

∠3 = 97°

Hence measure of ∠3 is 97°.

Learn more about supplementary angles;

https://brainly.com/question/13045673

#SPJ2

If 5 cables cost $75, what is the cost of 1 cable?

Answers

Answer:

$15

Step-by-step explanation:

75/5=15

the answer is 15, 75 divided by 5 would be 15 so 1 cable is $15

what is the answer of 3x-5>1/2x+8x?

Answers

Answer:

x < -10/11

Step-by-step explanation:

Graph the equation y=-2/3x -6

Answers

Answer:

4x times 6

Step-by-step explanation:

Answer:

Step-by-step explanation:

on y axis, put let line cross -6

plot a point at 3,-8

plot at point at 6,-10

plot a point at -3,-4

plot a point at -6,-2

etc.

A parking garage charges a 3.50$ base fee plus an hourly rate of 7.00$. If you have at most 21.50$ to pay for parking, how long can you park?

Answers

Answer:

You get a total of two hours of parking.

Step-by-step explanation:

First, you subtract the base fee of $3.50, which gives you $18.00. Then you subtract as many sevens there are in 18, which is two. And then your answer is shown, as two. Hope this helps!

Evaluate the expression, -1 x (-0.1 x -5 + 0.5)​

Answers

Answer:

-1

Step-by-step explanation:

-1 x (-0.1 x -5 + 0.5)

= -1 x 1

= -1

9. Find the slope represented in the table
below. Show all work.
Х
y
7
-30
11
-54
13
-66
20
- 108

Answers

Answer:bruh I’m still tryna figure this out

Step-by-step explanation:

Please give me the explanation so I KNOW that it's right? Thanks.

Answers

Answer:

its A, B, C or D

Step-by-step explanation:

it has to be one of them.

Answer:

Step-by-step explanation: E, look at which side E is on, look at the other triangles angle that corresponds with it, so It's E.

anty: Word problems LLV
Questions
answered
You have prizes to reveall Go to your game board. X
Oakland is hosting a city-wide arts festival at which vendors can pay to have a small booth or
a large booth. The fee for a small booth is $31, whereas the fee for a large booth is $87. The
city hopes to receive at least $2,300 in fees.
Select the inequality in standard form that describes this situation. Use the given numbers
and the following variables.
10
Time
elapsed
x = the number of small booths
26
00 12
HRIN
y = the number of large booths
SmartScore
out of 100
31 + x + 87 + y 2 2,300
50
87x + 31y 2 2,300
31x + 87y 2 2,300
87 + x + 31 + y 2 2,300
Sign out

Answers

Answer:

Step-by-step explanation:

Coco butter

At Teen Tops, a package of 5 T-shirts costs $38. At
Bargain City, a package of 4 T-shirts costs $34. Which
statement is the most accurate?

A. Bargain City is the better buy because it sells T-shirts at $8.50 per T-Shirt

B. Teen Tops is the better buy because the packages has more T-shirts

C. Bargain City is the better buy because $34 is less than $38

D. Teen Tops is the better buy because it sells T-shirts at $7.60 per T-shirt

Answers

Answer:

D

Step-by-step explanation:

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