Write an equation for each situation.

8. Art buys 14 packages of batteries. After using a $ 20 coupon, the batteries cost $ 80. What was the original price, x, in dollars, of each package of batteries?

9. Grace worked for 14 hours tutoring students. She uses $20 dollars to pay for gas on the way home. If she has $80 left after paying for the gas, how much money, x, in dollars, was Grace paid per hour?

10. Karl bought 14 calculators at a store and paid $80. Each calculator was on sale for $20 off. What was the original price, x, in dollars, of each calculator?

11. Shane originally has $20. After working as a waiter in a restaurant for $14 dollars an hour, he now has $80. How many hours, x , did Shane work at the restaurant?

Answers

Answer 1

Answer:

8. The original price for one pack of batteries was $7.15

Step-by-step explanation:

Answer 2
8 & 9 have the same answer:
x = 20 + 80 / 14

10:
x = 14 • 20 + 80 / 14

11:
x = 80 - 20 / 14

Related Questions

Write a story/word problem for the expression "3 divided by 1/2" or "1/2 divided by 3"

Answers

Answer:

You have 3 cookies and need to divide them between you and a friend.

Step-by-step explanation:

Answer:

3 div 1/2 or 1/2 div 3 = 1.5 or 1.50

Step-by-step explanation:

dsffsgfduntydgfjghfu,dryfujyftmhgjghjg,kgytugjhyghkbgk

yeah

Neil measures the lengths of some objects in both yards and feet.
There is a proportional relationship between the number of yards, x, and the number of feet, y.
x (yards) y (feet)
1 3
2 6
3 9
6 18
What is the constant of proportionality? Write your answer as a whole number or decimal.

Answers

the constant of proportionality is 3 (multiplied by 3 to be exact)

The constant of proportionality(k) between a yard and a foot is 0.33.

What are ratio and proportion?

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

The variable feet and yards are in direct proportion.

Let,

yard = k(feet).

1 = 3k

k = 1/3 = 0.33.

learn more about proportion here :

https://brainly.com/question/7096655

#SPJ2

1.The ratio of males to total students in a mathematics class is 12 to 30. What fraction of the class is male?

40/10
6/10
12/30
2/50


The ratio of males to total students in a mathematics class is 3 to 30. What percent of the class is male?
40%
10%
45%
12%

Answers

Answer: 12/30

and 40 percent

Step-by-step explanation:

Well it’s 12 to 30 so just put a fraction bar

and 12 divided by 30 is .4

Answer:

The answers are 12/30 and 10%

Step-by-step explanation:

It's 40% because the ratio of males to total students is 12 to 30, or 12:30, which is equal to 12/30.

The other answer is 10% because the ratio of males to total students is 3 to 30, or 3:30, which is equal to 1/10. Then you would do 100 divided by 10 which would give you 10 so it's 10%.

Hope this helps!

plz help me 20 point

Answers

Answer:

yes

Step-by-step explanation:because train a reaches a higher distance in a faster rate

Answer:

im only doing this for the points sorry :/

Step-by-step explanation:

good morning mates how is your day planned

Answers

Answer:

boring and stuck in school

Step-by-step explanation:

Answer:

Good morning!

Step-by-step explanation:

Please help. If you don't know the answer please don't resond. It's not funny and it doesn't help either.

Answers

Answer:

1.5

Step-by-step explanation:

Answer:

slope=1/2 and y-interception=3

Step-by-step explanation:

mx+b where m is the slope and y- inersception is b

Can i get the right answers please

Answers

Answer: For the first question, m = 1.5 and y-intercept = 5, so your equation for the first one should be, y = 1.5x + 5.

And for the second question, m = -1.75 and y-intercept = 4, so your equation for the second one should be, y = -1.75x + 4.

Step-by-step explanation: For the 1st one, subtract 3x to get -2y = -3x - 10, then divide by -2 to get y = 1.5x + 5.

For the 2nd one, subtract 7x to get 4y = -7x + 16, then divide by 4 to get y = -1.75x + 4.

Hope this helps you! :)

To celebrate getting a new car, Johnny went out to eat with 3 friends. Their meal, including tax, was $75. If they left a 15% tip, what is the cost of their total bill with the tip included?

Answers

Answer:

$86.25

Step-by-step explanation:

15% as a fraction and multiply that by 75 and then add that to 75.

i think that the answer is $86.25

Will mark brainliest for having the steps.
prove tan(2x) = tan(x+x)

Answers

So here is how we are going to prove that (2(tan x - cot x) / (tan^2 x - cot^2 x} = sin (2x). Follow it step by step:
LS = 2(tanx−cotx)
------------------
tan^2−cot^2x
= 2(tanx−cotx)
----------------------
(tanx−cotx)(tanx+cotx)
= 2
-------------------
(tanx+cotx)
= 2
-----------------
Sin2x+cos2x
---------------- sinxcosx
= 2
-------------
1
------------
sinxcosx
= 2sinxcosx
= sin2x
I hope that is the answer that you are looking for. Let me know if you need more help next time. Thanks for posting your question here in brainly!
Answer:

tan(2x)=tan(x+x)

tan(x+x)

tan(x)+tan(x)/1-tan(x)tan(x)

2tan(x)/1-tan(x)^2

tan(2x)

tan(2x)=tan(x+x) is True.

Need helpp fastt plss will give brainliest to who is correct plss helpp

Answers

4 (needs to be twenty characters)

Answer:

4

Step-by-step explanation:

i'm pretty sure because the original answer is 3.31 but i'm guessing if you round that you get 4...?(sorry if not helpful)

Topic 4 Pythagorean Theorem

Find each missing length to the nearest tenth.

Answers
13--------

14----------

15---------


16-------------


17-------


18---------


19-------

20-------


21------


22----------

Answers

It’s not the answer, but if you search Pythagorean theorem calculator online, you can find the missing length by typing in the side lengths you currently have
Do you want all the answers for the questions in the pictures??

Reflect on your participation in course discussions. Evaluate how well you explain your thinking and how well you respond to other people’s ideas about math. How can you improve in these areas? can you reword this pls

Answers

Answer:

Think back on your contributions in our class discussions. Asses your explanations of your thoughts and your reactions to other people's input about the subject. How could you build off of these evaluations?

Step-by-step explanation:

Answer:

Step-by-step explanation:

See how you can find your course of discussion. open your mind to see how you explain your thinking and how good you open your mind to other people's ideas about math. how can you help your self improve the mistakes.

there you go hope it helps.

Graph the system of equations on graph paper.

{4x+3y=122x+3y=−6

Which statements are true about the solution to the system of equations?

Select each correct answer.




The y-coordinate of the solution is 9.

The ordered pair that is the solution to the system lies in Quadrant I.

The ordered pair that is the solution to the system lies in Quadrant IV.

The x-coordinate of the solution is 9.

The y-coordinate of the solution is −8.

The x-coordinate of the solution is 8.

Answers

Answer:

A C D

Step-by-step explanation:

A river current carried a fallen tree branch 1 over 3 of a mile in 1 over 4 of an hour. At what speed is the water in the river flowing, in miles per hour?

Answers

the answer is one and one over three

In miles per hour, 4/3 speed represents the flow of water in the river, and its calculation can be defined as follows:

Speed calculation:

Distance = [tex]\frac{1}{3}[/tex] miles

Time= [tex]\frac{1}{4}[/tex] hours

speed=?

Speed Definition:

An object's speed is indeed the pace at which it moves along a path in time, whereas its velocity is the rate and direction of travel.

The formula for calculating the speed:

[tex]\to[/tex] speed =[tex]\bold{\frac{Distance}{time}}[/tex]

               [tex]=\frac{\frac{1}{3}}{\frac{1}{4}}\\\\={\frac{1}{3} \times \frac{4}{1}}\\\\={\frac{4}{3}}\\\\[/tex]

Therefore, the calculated speed of water flow is [tex]\frac{4}{3}[/tex] miles per hour.

Find out more about the speed calculation here:

brainly.com/question/26822909

Write an equation for the following graph. Keep your slope as a fraction.

Answers

Answer:

y= 10/3x + 20

Step-by-step explanation:

the slope is 10/3 because from one point to another (on the line) it moves up 10 (from 20 to 30) and to the right 3 (from 0 to 3)

the y intercept is 20 because when x = 0, y = 20 which we can see on the graph

Answer:

y=10/3x +20

im too late to be first again :(

What's 9 + 10????????????

Answers

Answer:

19

Step-by-step explanation:

i aint never seen two pretty best friends its always one of em gotta be ugly

Answer:

21 duh

thats basic math

What is the solution to the equation One-fourth x + 2 = negative StartFraction 5 Over 8 EndFraction x minus 5?

Answers

Can you take a picture of the problem

Answer: 7/8x - 7

Step-by-step explanation:

1/4x +2 = -5/8x - 5

Let me know if this is right

the scale of a map says that 6 cm represents 15 km. what distance on the map represents an actual distance of 6 kilometers

Answers

Answer: your answer  is 2.4

Step-by-step explanation:

The answer for this question is 2.4

Based on the amount of detail the author gives to the dog’s thoughts, what can you infer is the biggest difference between the main character and the husky? How do their attitudes differ towards the setting of this story? Make sure to explain your reasoning.

Answers

add more details to your question so it’s more easier for people to solve

write an equation for the line in slope-intercept form. Numbers may be used once, more than once, or not at all.


Graph of a diagonal line with x-axis and y-axis. A line is passing through co-ordinates (0,5) and (2,-3).

choices- -4, -2, 0, 2, 3, 5, 6

y =____ x + ____

Answers

Answer:

are you my dad!

Step-by-step explanation:

PLEASE PUT A REAL ANSWER
this is my 3rd time putting this Noah is NOT right

Answers

Answer:

5. Noah and Diego has the same amount of money which is $7.5

Step-by-step explanation:

Noah=75% of $10

75÷100×10=7.5

Noah has $7.5

Diego=25% of $30

25÷100×30=7.5

Diego=$7.5

Therefore Noah and Diego has the same amount of money

Answer:

Can I please have Brainliest I want to level up

Step-by-step explanation:

ASAP Which answer choice shows 6.009 written in expanded form?

A. 6 + 0.9
B. 6 + 0.09
C. 6 + 0.009
D. 6 + 0.0009

Answers

The answer issssssss C

write the equation for this line

Answers

Answer:

y = 4x + 3

Step-by-step explanation:

Hello how are you? Tell me in an answer for 100 points

Answers

Answer:

Hiiiii

I'm okay, how about you?

thanks for the free points! :)

Umm 5 times 100 equals what

[PICTURE ATTACHED]

another one of these science questions, idk what category to put it into.

is this correct?

Answers

Both they are traveling at the same speed so they have the same kinetic speed

simplify by combining like terms: 1.52c + 3.12c

Answers

Answer:

4.64c

Step-by-step explanation:

Step-by-step explanation:

=1.52c+3.12c

=4.64c

hope it help u.

HELP!!
Complete the ratio table.
13 15
26 _
45 _
60 _
65 75

Answers

Answer:

30,52,69

Step-by-step explanation:

DUE SOON PLS HELP: All of the points on the picture are on the same line. 1. Find the slope of the line. Explain your reasoning.
(if possible can you link a video to help I don't understand this at all)

Answers

Answer:

Look below :)

Step-by-step explanation:

1. To find the slope of a line, we can use this expression: [tex]\frac{y2 - y1}{x2 - x1}[/tex]

In order to use that expression, we need to use two points. The graph given only provides you with two complete points, so we'll use those.

(4, 4) = (x1, y1)  (12, 20) = (x2, y2)

Now we can input the values into the expression:

[tex]\frac{y2 - y1}{x2 - x1}[/tex] = [tex]\frac{20 - 4}{12 - 4}[/tex]

Let's solve for the slope:

20 - 4 = 16

12 - 4 = 8

[tex]\frac{16}{8}[/tex]

To simplify 16/8 divide both the numerator and the denominator by 8:

16/8 = 2

8 = 1

You get 2/1 or just 2.

The slope of the line is 2.

2. To make an equation for the line, we'll use slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept. We already know the value of the slope is 2, so now we need to find the y-intercept. We can find the y-intercept using a given point and the slope. In this example, I'll use the point (4, 4). Let's input the values into the equation:

y = mx + b

4 = 2(4) + b

Now let's solve for b:

4 = 8 + b

Subtract 8 from both sides to isolate the b:

4 - 8 = 8 - 8 + b

-4 = b

The y-intercept of the equation is -4.

Now that we know the values for the slope and y-intercept, we can write the equation:

y = 2x - 4

3. To find the values of a and b, we can use the equation we made in the previous question.

First we'll find a:

The point we are given is (a, 16). We know the y-value is 16, so we can put that into our equation. We can also replace x with a:

y = 2x - 4

16 = 2a - 4

Now we can solve for a:

First, add 4 to both sides to isolate the 2a:

16 + 4 = 2a - 4 + 4

20 = 2a

Then divide both sides by 2 to isolate a:

20/2 = 2a/2

10 = a

The value of a is 10.

Now let's find b:

This is similar to finding a. The point we are given is (8, b). We know the value of x is 8, and we can replace y with b in the equation:

y = 2x - 4

b = 2(8) - 4

Let's solve:

b = 2(8) - 4

b = 16 - 4

b = 12

The value of b is 12.

4. Finally, to find the y- coordinate when x=0, all we have to do is input 0 in for x in the equation and then solve for y:

y = 2x - 4

y = 2(0) - 4

y = 0 - 4

y = -4

When x = 0, y = -4.

The answer for what the y-coordinate is when x = 0 will always be the value of the y-intercept.

I hope this helps!

I did all of my work on a piece of paper.

A watch cost $76.00. If the sales tax rate is 7% what is the amount of sales tax? What is the total cost?

Answers

Answer:

Multiply the cost of an item or service by the sales tax in order to find out the total cost. The equation looks like this: Item or service cost x sales tax (in decimal form) = total sales tax. Add the total sales tax to the Item or service cost to get your total cost.

Step-by-step explanation:

$81.32
76 times .07 is 5.32 and 5.32 plus 76 is 81.32.

Please estimate 0.8 X 22.

Answers

Answer:

22

Step-by-step explanation:

0.8 --> 1 * 22 = 22

Hope this helped! Have a nice day!

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