1. Create a scenario that leads to an inequality of the form ax + b > c. You can use any of the inequality symbols (>, ≥, <, ≤) in your inequality. For this step, just write the word problem.
2. Write the inequality and show all work to solve the inequality.
3. Graph the solution to your inequality on a number line.
4. Explain what your solution means in the context of the problem

Answers

Answer 1

Answer:

1) Ola taxi charges a $8 flat rate in addition to $2 per mile. Paul has no more than $10 to spend on a ride.

2) Let x be the number of miles.

Then, we have inequality:  [tex]8x+2\leq 10[/tex]

Solve the inequality: [tex]8x+2\leq 10[/tex]

Subtract 2 from both the sides:  [tex]8x+2-2\leq 10-2[/tex]

Simplify: [tex]8x\geq 8[/tex]

Divide by 8 both sides we get: [tex]x\leq 1[/tex]

as shown in figure 1.

3) From the context of the problem :  we can say that Paul can travel 1 miles or less before reaching his limit of $10.


Related Questions

Javier was making a cake from scratch. The recipe he is using makes enough cake to
serve 15 people. Javier wants to triple (X 3) the recipe. The ingredients are:
3. How much salt does Javier need to use if he is tripling the recipe?
.
• 2 cups all-purpose flour
2 cups sugar
1 teaspoon baking soda
1/2 teaspoon salt
1/2 teaspoon ground cinnamon
1 can (12 ounces) cola
1 cup butter, cubed
1/4 cup baking cocoa
2 large eggs, room temperature
1/2 cup buttermilk
• 1 teaspoon vanilla extract
.
.
.

Answers

He’ll need 1 1/2 teaspoons of salt, because 1/2 x 3= 1.5

Julio says, "If you subtract 17 from my number and multiply the difference by negative 6, the result is negative 132." What is Julio's number

Answers

Answer:

39

Step-by-step explanation:

Answer:

-5

sorry if i got this wrong, tell me if you need more help!

.
Michael decided to make French toast. He finds a recipe that calls for the following ingredients:

FRENCH TOAST
8 slices of bread
4 eggs
1 cup of milk
1 teaspoon of cinnamon

Which of the following comparison statements describe how much cinnamon is used for the slices of bread used (There are 2 correct answers)?

2 cinnamon teaspoon for every 8 slices of bread

1 cinnamon teaspoon for every 1 slices of bread

1 cinnamon teaspoon for every 8 slices of bread

1/8 cinnamon teaspoon for every 1 slices of bread

1 cinnamon teaspoon for every 1/2 slices of bread

Answers

1 cinnamon teaspoon per slice of bread

Step-by-step explanation:

This is beginning review and i for got how to do it pls help me find what x=

Answers

Answer:

3(x−1)=18

Answer:

x=7

Step-by-step explanation:

\frac{3\left(x-1\right)}{3}=\frac{18}{3}

x-1=6

x-1+1=6+1

x=7

Hope I helped

brainliest plz

Compare the total quantity of fruit used with the quantity of oranges. Write your answer in a sentence.

Answers

Answer:

what are the numbers

Step-by-step explanation:

Is 5.33333..... (3 continuing) rational or irrational?​

Answers

Answer:RationalHope this helps!!

Rational bc 16/3 is 5.33333 is repeating and as we all know repeating decimals is also rational numbers

The record for the most rolls of wrapping paper sold for the school fundraiser is 593. Let w = the number of rolls of wrapping paper sold.

Choose Yes or No to tell if each inequality represents a number that would beat the school record.
w ≥ 593

w > 593

w ≤ 593

593 < w

Answers

Answer:

No

Yes

No

No

Step-by-step explanation:

The first one is no because if it is equal to the record it didn’t beat it

w ≥ 593 : No

w > 593 : Yes

w ≤ 593 : No

593 < w : Yes

What is an Inequality?

In Algebra, inequality is a Mathematical statement that shows the relation between two expressions using the inequality symbol. The expressions on both sides of an inequality sign are not equal. It means that the expression on the left-hand side should be greater than or less than the expression on the right-hand side or vice versa. If the relationship between two algebraic expressions is defined using the inequality symbols, then it is called literal inequalities.

Given,

The record for most wrapping paper sold = 593

1. w ≥ 593

Since, to break the record w can be greater but not equal to 593.

No, this equality does not represent a number that would beat the school record.

2. w > 593

Since, to break the record w can be greater than 593.

Yes, this equality does not represent a number that would beat the school record.

3. w ≤ 593

Since, to break the record w cannot be less or equal to 593.

No, this equality does not represent a number that would beat the school record.

4. 593 < w

Since, to break the record 593 can be less than w.

Yes, this equality represents a number that would beat the school record.

Hence, w > 593 and 593 < w represent a number that would beat the school record.

Learn more about Inequality here:

brainly.com/question/20383699

#SPJ2

List the side lengths from shortest to longest.

Answers

Answer:

x, y, z

Step-by-step explanation:

And no im not talking about pokemon

Z, Y, X hope this helps :) Have a great day!

First-person to answer correctly with an explanation get brainiest

The table represents a proportional relationship. Use the table to find the constant of proportionality, and write an equation that represents the relationship.

In the box below, share the constant of proportionality, and write an equation that represents the relationship.

Answers

Answer:

The constant of proportionality would be 3.14.

An equation that would fit this proportion is C= 3.14d

Step-by-step explanation:

Answer:

3.14

Step-by-step explanation:

9.42-6.28=3.14

I found the answer to 1/2 = 8/16 by? (answer)

Answers

Answer:

8/16 = 1/2    

Step-by-step explanation:

Both 8 and 16 goes into 8, 8 divided by 8 is 1 and 16 divided by 8 if 2 which is 8/16 = 1/2

Which of the expressions are equivalent to the one below? 7x(6+3)

Answers

A. Is the answer
Hope this helped :)

helpppppppppppppppppppppppppppppppppppppppp

Answers

/(((((((((((((;;;;;;;;;;;;;;;;;;;;
Ok what u need help with

Danika has one apple that weighs 1/4 lb and another apple weighs 3/16 lb. Find the DIFFERENCE in their weights.

Answer choices:

A. 1/16 lb.
B. 1/6 lb.
C. 1/4 lb.

Answers

Answer: A.

Step-by-step explanation:

Danika has 1/4 lb apple and a 3/16 apple. We have to find a common denominator to be able to subtract them. We can do this by finding out 4 times how much equals 16. Which is 4. So you multiply both of the numbers by 4, (1x4 = 4 , 4x4 = 16) being 4/16. Now you just have to subtract the top numbers "4-3 = 1" 1/16.

answer: a

first you want to convert both into like terms so converting 1/4 to 4/16
then you can subtract accordingly to get 4/16 - 3/16 to get 1/16
hope this helps :)

Please help answer all the question and i will mark brainlest answer when I get the chance thx!!!!!!

Answers

Answer:

1. D

2.C

3.E

4.B

5.A

6. 5/9

7. 5/6

Step-by-step explanation:

I hope I helped

What are some advantages to multiplying instead of adding fraction

Answers

Answer:

I think, is that for the most part, fractions make it easier to add things.

Step-by-step explanation:

Answer:

multiplying takes less time, and is easier if you know multiplication 1 through 12 then knowing addition

Step-by-step explanation:

4. For the Earth to get all the way around the Sun and back to where it started takes
________________.

if you're just gonna answer this for points smh :/ put yourself in my shoes, and that just means your an idiot :)

Answers

It takes the Earth one year, or 365 1/4 days I think
it takes 365 but if your doing this for the exact i would do 365.25 or 1/4 due to the leap year

A theater company charges $5.50 per ticket for people of all age groups. If c represents the total number of children who bought tickets and a represents the total number of adults who bought tickets, which expression best represents the total money earned by the company from the sale of tickets? WILL AWARD BRAINLIEST

5.5(c + a)
5.5c + a
c + 5.5a
11(c + a)

Answers

The answer is the first one
5.5(c+a)

Because if the cost is 5.50 you would multiply that by the total number of tickets. So you would add all the total of tickets (c+a) then multiply by 5.50

Answer:

5.5(c+a)

Step-by-step explanation:

Example:

2 Kids and 5 adults

5.5(2+5)

5.5(7)

38.5

Kay is trying to decide between two health clubs. Company A charges a one-time fee of $70 and $35 a month. Company B charges a one-time fee of $10 and $40 a month. Kay wrote two equations to represent the cost of each plan, C, after m months as shown below.

C = 35m + 70

C = 40m + 10



When Kay graphed the equations on her graphing calculator, the lines intersected at the point (12, 490). What does the point mean in relation to the scenario above?

answer choices :

After 12 months, Kay will have 490 points at the club.

After 12 people buy memberships, the club will earn $490.

After 12 months, both plans will cost $490.

After Kay spends $490, she will get 12 months free.

Answers

Answer:

after 12 months, both plans wil cost $490

Step-by-step explanation:

the x value 12 means 12 months and the y value 490 means 490 dollars both plans cost the same after 12 months

I need help quick thanks!!!

Answers

Answer:

x = 1.5

Step-by-step explanation:

-1.2 (3 - x) = -1.8

Apply distributive property

-3.6 + 1.2x = -1.8

Get 1.2x alone so add -3.6 to each side

1.2x = 1.8

Get x alone so divide 1.2 on each side

x = 1.5

Hope this helps!

i have no clue how to do this pls help this is for 15 points and ill do a brainliest aswell

Answers

Answer:

you can!!

Step-by-step explanation:

you can break this apart into whole numbers and its fractional part.

-20+-12= -32

-3/4 + -1.4 = -1

-32 + -1

=-33

I NEED HELP FAST!! PLEASEEEE!??

Answers

Answer:

it is changing from a solid to a gas

Step-by-step explanation:

belive is is sublimation or C

Answer:

Sublimation

Step-by-step explanation:

The only possible choice is sublimation, #1, because that is what occurs when something changes from solid to gas, and two, because if you use process of elimination, the logical answer is the 3rd one. Hope this helps.

please answer correctly, its in the attachment.

Answers

Answer: the answer is D,E,A,F,C

Step-by-step explanation:

CAN SOMEONE JUST ANSWER THIS QUESTION


A board game has 25 cards. Each card is printed with a number from 1 through 25. Sameer shuffled the cards, and then selected 1 card.


What is the probability that Sameer selected a card with a number less than 4 or a multiple of 9?


Enter your answer as a fraction, in simplified form, in the box.

[ ]

I AM GOING TO GO CRAZY IF NO ONE ANSWERS AND IT NEEDS TO BE RIGHT!

Answers

Answer:

1/5

Step-by-step explanation:

There are 3 numbers of less than 4 (1, 2 and 3) and there are 2 multiples of 9 (9 and 18). So there are 5 favourable outcomes and 25 possible outcomes. So you put 5/25 and cancel down, which makes 1/5. I hope this helps!

Answer:

1/5

Step-by-step explanation:

There are three numbers less then four (1, 2, and 3) and two multiples of nine (9 and 18) from 1-25. That would make the fraction 5/25 before simplifying to 1/5.

Is the equation [tex]-2x^2+8=y[/tex] linear or nonlinear

Answers

Answer:

non linear equation

Step-by-step explanation:

A middle school is supplied with 3 bottles of germ x for every 2 students. If the middle school has exactly 856 students, how many bottles of germ x must be supplied? _________ bottles of germs

Answers

1,284 because you have to divide the students in half because it is every two students. And each pair gets three bottles.

During a canned food drive, Bob collected 6 times as many cans as Tom. If t represents the number of cans that Tom collected, which algebraic expression represents the number of cans that Bob collected?

A. 6t
b.7t
c.6 + T
d. 7 + T

Answers

Answer:

A

Step-by-step explanation:

If Bob collected 6 times as many cans as Tom, you would write that as 6t because Bob's amount times Tom's amount will give you the amount Bob collected.

Hope this helps and mark brainliest please!

Which of the following ratios is equivalent to 2:3?

12:13

14:21

20:25

1:4

Answers

Answer:

14:21

Step-by-step explanation:

Answer:

14:21

Step-by-step explanation:

Think of it as equal fractions, if that helps.

Finding an equivalent fraction is the same as finding an equivalent ratio.

If you multiply both the numerator and denominator of 2/3 or 2:3 by the same number, you'd get an equivalent fraction/ratio.

2 multiplied by 7 is 14, 3 multiplied by 7 is 21. So, 2:3 and 14:21 are equivalent.

Use the drop-down menus to select answers. Use the fraction bars and the expression provided to answer the questions. 3 ÷ 2 5 How many 1 5 bars should you circle in each group? Are there any 1 5 bars left over? What is the quotient?

Answers

Answer: it would be 7.5

Answer:

e

Step-by-step explanation:

e

2:3 is equivalent to 4:7? True or False? Thanks :)

Answers

Answer:

False

Step-by-step explanation:

2:3=4:8 so it cant be equal to 4:7 because on the common nominator and uncommon denominator (im sure those arent the technical terms but whtv)

Answer:. False.

Try changing to a decimal. 2/3 is about .667. 4/7 is about .571. Not the same ratio.

Step-by-step explanation:

HELPPPPPPP!!!!!!!!!!

Answers

Answer:

I think it would help if you closed tabs

Step-by-step explanation:

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