Hector spent $41.75 for 2 DVDs that cost the same amount. The sales tax on his purchase was $3.15. Hector also used a coupon for $1.00 off his purchase. How much did each DVD cost?

Answers

Answer 1

Given:

Amount spent on 2 DVDs = $41.75

Sales tax = $3.15

Coupon = $1.00 off

To find:

The cost of each DVD.

Solution:

Let x be the cost of each DVD.

Then, cost of two DVDs = 2x

Amount spent of 2 DVDs = Cost of 2 DVDs + Sales tax - Coupon discount

[tex]41.75=2x+3.15-1.00[/tex]

[tex]41.75=2x+2.15[/tex]

[tex]41.75-2.15=2x[/tex]

[tex]39.6=2x[/tex]

Divide both sides by 2.

[tex]\dfrac{39.6}{2}=x[/tex]

[tex]19.8=x[/tex]

Therefore, the cost of each DVD is $19.8.


Related Questions

Yasmin purchased 6 heads of cabbage that each weighed 2 and StartFraction 3 over 8 EndFraction pounds. How much did the cabbage weigh all together?

Answers

Answer:

14 and 1/4

Step-by-step explanation:

So the equation would be-

6 x 2 and 3/8

I would break this up, so

6 x 2 = 12

6 x 3/8 = 18/8

Simplify

18/8 = 9/4 = 2 and 1/4

12 + 2 and 1/4 = 14 and 1/4

Answer:

14 and 1/4

Step-by-step explanation:

What is the midpoint of the line segment with the equation y=12x+3 between x=−4 and x=8?

(6,6)

(2,−2)

(2,4)

(2,2)

Answers

Answer:

2,4 ((((((((((((((((((((

Please help this is a grade

Answers

Answer:

I don't see the answer to the problem

The answer is -2x-6 I believe.

PLEASE HELP!


Priya is with her mother at the zoo’s gorilla exhibit. Priya is studying the chart displayed beside the gorilla exhibit, which shows the name and weight of each gorilla. Use the information in the chart to answer the questions in this activity.

Gorilla Weight Plugged into True or False?
5a + 8 = 318
(pounds)
Sophia 318
George 417
Nancy 310
Hank 136
Paula 62
Gavin 24

Part A
Priya’s favorite gorillas are a mother named Sophia and her baby. The zoo attendant said that Sophia weighs 8 pounds more than 5 times her baby’s weight. To determine the baby gorilla’s weight, Priya can use the equation 5a + 8 = 318, where a is the weight of the baby gorilla. Plug the weight of each gorilla into the equation to check which value makes the equation true.

Answers

Answer :

The value that makes the equation true is Paula 62

Step-by-step explanation:

Here, we want to plug the weight of each of the Gorilla to determine the weight that makes the equation true

all we have to do here is that in each of the cases, we substitute the value of a for the weight of each of the Gorilla

Sophia

a = 318

5a + 8

= 5(318) + 8

as we can see this is not equal to 318

George

For George, we substitute a for 417

That will be;

5(417) + 8

This is not 318

for Nancy

5(310) + 8

This is not equal to 318

for Hank

we have a as 136

5(136) + 8

This is not equal to 136

for Paula

5(62) + 8

= 310 + 8 = 318

we can see this is correct

for Gavin,

5(24) + 8

= 128 which is not equal to 318

The only equal value is that of Paula which is our answer

Answer:

Gorilla Weight

(pounds) Plugged into

5a + 8 = 318 True or False?

George 417  

5(417) + 8 = 318

2,093 = 318

false

Nancy 310  

5(310) + 8 = 318

1,558 = 318

false

Hank 136  

5(136) + 8 = 318

  688 = 318

false

Paula 62  

5(62) + 8 = 318

 318 = 318

true

Gavin 24  

5(24) + 8 = 318

 128 = 318

false

Step-by-step explanation:

Is x=|y| with inputs x=1, x=2, and x=3 a function? Explain

Answers

Answer: This is not a function

======================================================

Explanation:

If x = 1, then,

x = |y|

1 = |y|

|y| = 1

y = plus/minus 1

y = 1 or y = -1

The input x = 1 leads to more than one output y = 1 and y = -1 at the same time.

Similar situations occur with x = 2 and x = 3.

This means we do not have a function. A function can only be possible if each input leads to exactly one output.

f(x) = 4x + 3 for f(-8).

Answers

Answer:

-29

Step-by-step explanation:

plz brainliestt

Answer:

-29

Step-by-step explanation:

f(x) = 4x + 3

f(-8) = 4(-8) + 3

f(-8) = -32 + 3

f(-8) = -29

A telemarketer earns a fixed amount for each call that he makes, as shown in
the graph below.


If the telemarketer makes 12 calls, how much will he earn in total?

A. $4.80
B. $9.60
C. $0.80
D. $1.20

Answers

Answer:
B. $9.60
Explanation:
1 call = $0.80
$0.80 x 12 calls = $9.60

Answer:

The answer is $9.60!

Step-by-step explanation:

what is the square root of 5 divided by 5 square root of 3?

Answers

Should be 0.77459666924.

Just the first 3 numbers

PLEASE HELP!!

what is true about the graph of the line y= -3x + 4?


a) the line has a slope of 4

b) the line has a slope of -4

c) the line crosses the y-axis below the origin

d) the line crosses the y-axis above the origin

Answers

Answer:

d) the line crosses the y-axis above the origin

Step-by-step explanation:

your welcome

is the relationship between the side length of a square and the area of a square proportional?

Answers

Answer:

Students make in-out tables to assist them in noticing patterns and generalizing the mathematical relationships. Expect students to discover that area increases proportionally to the square of how much the side length increases.)

Martin is helping his mom set up for a school event. His mom put 150 cups into a box. There are 40 red cups, 60 blue cups, and
50 green cups in the box. He randomly picks 90 cups from the box and sets them out on tables.
How many blue cups is he likely to have set out on tables?

Answers

Answer:

C. 36

There are 150 cups total, and 60 blue cups

[tex]150/60=0.4[/tex]

Multiply that by the number of cups he picked up

[tex]0.4*90=36[/tex]

Human skin has a thickness of about 5 * 10-3 meter. A
grain of sand has a thickness of about 1x 10-3 meter.
About how many grains of sand would it take to match the thickness
of human skin?
Grains of Sand
Human Skin
(1 x 10-3)
(5 x 10-3)
DONE

Answers

Answer:

1.Human skin is thicker than the grain of sand.

2.It will take 5 grains of sand to match the thickness of a humans skin

Step-by-step explanation:

5/7-1/2= show work PLZZZZZZZZZZ HELPPPP

Answers

Answer:

3/14

Step-by-step explanation:

We need to line up the fractions. 5/7 on top, 1/2 on the bottom. We need to find common denominator so, 7 x 2 (denominators) gives us 14. 14 is now the denominator we will use. Solve for numerator: Starting at bottom fraction. 2 goes into 14 7 times, 7 times original numerator (1) 35. Theres your new numerator. Now, the top fraction: 7 goes into 14 2 times. 2 x original numerator (5) = 10. Now subtract both numerators (10 - 7 = 3) Plug in the denominator and your answer is: 3/14

HELP WHATS THE VALUE OF X RLLY IMPORTANT ​

Answers

Answer:

The value of x is also 16 because It is saying that the angles ABC are the same as FGH. Therefore, the angles are the same, so the number is the same.

Step-by-step explanation:

Answer:

I think 16? I am not really sure but I learned this long ago and I think the value of X is 16. If this didn't help I am sorry :(

Step-by-step explanation:

Pls help and show workings
Thank you in advance
Option
A. 7
B. 10
C. 13
D. 22

Answers

Answer:

D

Step-by-step explanation:

rule: sum of two angles in triangle, should always be higher then the other angle: 13+9=22,

it should be bellow 22. it can not be D

Solve 3(−3−3x)+4=−5.

Answers

Answer:

49

Step-by-step explanation:

you need to multiply all them and get 49

Answer:

0

Step-by-step explanation:

3(-3-3x)+4=-5

3(-3-3x)=-9

-9-9x=-9

-9x=0

0/-9=0

I need help with this quick question. PLS

Answers

Step-by-step explanation:

please sorry to barge into your question without any reasonable answer all I want to say is that this is a graph and I think that the domain and range this is increasing to calculate like the unit for example you have - 9 and - 3 you should calculate how many units are between -9 and -2 I'm not sure and I just really need marks now point where I can get on with my procedure so sorry for just barging in like that I'm so sorry

9514 1404 393

Answer:

  x < -5

Step-by-step explanation:

The function is increasing where its slope is positive. That is where each point is higher than the one to its left. You see that is the case for all points to the left of the vertex, which is at x=-5.

The domain where the function is increasing is x < -5.

_____

Additional comment

At the vertex, the function is horizontal, neither increasing nor decreasing. So, the vertex itself is not included in the domains of increase or decrease.

1.) Determine if the coordinate points represent a function. (1.3). (2.6). (3.9). (4. 12). (5.15

O Function

O Not a Function

O both​

Answers

Answer:

Function

Step-by-step explanation:

These coordinates do represent a function. For a relation to be a function every y-value must have an x-value, this means x's cannot repeat. In this relation x's never repeat, they simply increase by one every time. Therefore, this is a function.

I need help putting this into simplest form.

Answers

Answer:

1/x^2-2x-8

Step-by-step explanation:

A plot of land is in the shape of a triangle. Two of the angles measure 48 degrees and 74 degrees. The length of the side between them is 90 m.


a) calculate the perimeter of the plot, to the nearest meter.

b) calculate the area of the plot, to the nearest square meter.

Answers

Answer:

Perimeter = 271 meters

Step-by-step explanation:

third angle measure would have to be 180 - 122 = 58 degrees

you can use the law of sines:

sin 58° = sin 74°

   90           b

.85 = .96

 90       b

cross-multiply:  .85b = 86.4

                          b = 102

now do again to find third side:

sin 58° = sin 48°

   90           c

.85 = .74

 90       c

.85c = 67

c = 79

now you know all 3 sides so add them to get perimeter (79+102+90) = 271

What shortcut could you use to prove the triangles congruent?
O HL
O SAS
O ASA
SSS
OSSA
CNBD
O AAS

Answers

Answer:

AAS

Step-by-step explanation:

You can see that two angles and one side are congruent.


Please help me
what is the premiter of the semi circle​

Answers

Answer:

B

Step-by-step explanation:

simplify. enter the answer in the box. PLEASE I NEED IT ASAP

Answers

Answer:

21√7

Step-by-step explanation:

I need help it’s urgent please I would really appreciate it

Answers

Answer:

The entire race is 26.20 miles long.

Step-by-step explanation:

Given that:

Sam is 18.34 miles in the race.

This length represents the 70% of the entire length of the race.

Let,

x be the total length of the race.

70% of x = 18.34

[tex]\frac{70}{100}x=18.34\\[/tex]

0.7x = 18.34

Dividing both sides by 0.7

[tex]\frac{0.7x}{0.7}=\frac{18.34}{0.7}\\x=26.20[/tex]

Hence,

The entire race is 26.20 miles long.

Please help I need it fast

Answers

Answer:

J

Step-by-step explanation:

-11=4(-3)+1

-3 =4(-1)+1

1 =4(0)+1

9 =4(2)+1

13=4(3)+1

21=4(5)+1



A 12 ounce latte costs $3.00. Write an equation that relates the cost in dollars, y, to the number of ounces, X.
a
y= 3x
y= 0.25%
y= 4x
y= 12x

Answers

y=0.25x because 3=0.25(12)

HELP ME ILL MARK YOU BRAINLIEST .....
EXPLAIN YOUR ANSWER PLEASE AND HOW YOU GOT IT..THE STEPS

Answers

Answer:

1. m<rsv is 42 degrees

2.

Step-by-step explanation:

1.

2. Since abc is 95, the two angles you have to solve are going to equal 95 when added because they make up the angle ABC so solving it would be like

(2x+23)+(9x-5)=95 you then solve this which would be

2x+23+9x-5 = 95 - Combine like terms

11x+18=95 Subtract 18 both sides

11x=77 divide by 11

x=7

After this you just put 7 in the equations instead of X and solve it

making angles

can someone help me with 26 and 27?

Answers

Answer:

B

Step-by-step explanation:

Which are characteristics of the graph of the function f(x) = (x + 1)2 + 2? Check all that apply

Answers

Answer:

A. the domain is all real numbers. and

B.the y-intercept is 3

3x-6=7x-3
3. 6
please help!!!!!!!

Answers

Answer:

B. -9

Step-by-step explanation:

3(-9)-6/3=-11

7(-9)-3/6=-11

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