The cost of a car rental is ​$30per day plus per mile. You are on a daily budget of ​$75. Write and solve an inequality to find the greatest distance you can drive each day while staying within your budget. Use pencil and paper. Find 2 other​ two-step inequalities with the same solutions.

Answers

Answer 1

Answer:

Step-by-step explanation:

Cost ≤ per day amount + daily mileage amount.   * miles

75 ≥ 30 + daily mileage amount * miles

That's as far as I can take you. Two other equations are impossible without the daily mileage amount.

I can make one up. Suppose it is 75 cents a mile

75 ≥ 30 + 0.75 * x       Subtract 30 from both sides

75 - 30 ≥ 0.75*x

40 ≥ 0.75*x                 Divide by 0.75

40/0.75 ≥ x

53.33 miles = x  

Anything more and you are going over budget. Anything less is fine.

This is enough to get you started without knowing what the rate per mile is.


Related Questions

Urgent! Please help!
Solve the given equation:
3(x-2)^4/3 =243

Answers

Answer:

x is equal to 29.

Step-by-step explanation:

[tex]3(x - 2)^{\frac{4}{3}} = 243\\(x - 2)^{\frac{4}{3}} = 243 / 3\\(x - 2)^{\frac{4}{3}} = 243 / 3\\(x - 2) =( 243 / 3)^{\frac{3}{4}}\\x - 2 = 81^{\frac{3}{4}}\\x = 3^3 + 2\\x = 27 + 2\\x = 29[/tex]

Use inductive reasoning to predict the most probable next number in each list.
6, 9, 15, 24, 36, 51, ?

Answers

Answer:

69

Step-by-step explanation:

The numbers increase by 3 more than the previous amount increased by.

6 +3 9 +6 15 +9 24 +12 36 +15 51 +18 69

69 ! ............................

all right guys help me out a little bit no jokes this is worth 13 points I need help with 432 / 73​

Answers

Answer:

5.91780821918

Step-by-step explanation:

432/73 is the same as 432 ÷73=5.91780821918

Hope this helps ∞<3

Money in a particular savings account increases by about 6% after a year. How much money will be in the account after one year if the initial amount is $100?

Answers

$106 dollars since 6% of 100 is 6 and u add 6 dollars to 100 and u get $106

What’s the slope and y intercept of (3,4) and (0,-3)

Answers

Slope is 7/3 and y intercept is -3.

Slope: 7/3

Y intercept: -3

What is the product of 10x4 y2 and 3xy3 ?

Answers

Answer:

30x^5y^5

Step-by-step explanation:

What is the product of 10x4 y2 and 3xy3 ?

30x^5y^5

HELP ASAP!!!
If f(x) = -4x + 1, find f(2).
Enter the numerical value only

Answers

Answer:

-7

Step-by-step explanation:

-4(2)=-8

-8+1=-7........

use the diagram below to find the lengths of the following answer question 18-25. Be sure to include all necessary work. Leave your answer in the simplest radical form when necessary.

Answers

Answer:

18. AE = 6

19. BG = 6

20. CF = 5

21. GF = 2

22. CE = 3

23. AC = 3·√5

24. A_F = 10

25. DA = 3·(√5 - 1)

Step-by-step explanation:

Whereby the point C is the center of the circle, we have;

CB = CG = CE = 3 = The radius of the circle with center at C

CE = 3

CF = √(4² + 3²) = 5 by Pythagoras' theorem

CF = 5

GF = CF - CG = 5 - 3 = 2

GF = 2

BG = CB + CG = 3 + 3 = 6

BG = 6

Whereby, BC is a tangent to the circle with center, C, we have;

A_F = √(8² + 6²) = 10 by Pythagoras' theorem

A_F = 10

AE = A_F - EF = 10 - 4 = 6

AE = 6

AC = √(6² + 3²) = 3·√5 by Pythagoras' theorem

AC = 3·√5

DA = AC - CD = 3·√5 - 3 = 3·(√5 - 1)

DA = 3·(√5 - 1).

y=x+6
x+y=8

now graph 3 points on the line x+y=8​

Answers

Answer:

y=2

Step-by-step explanation:

advgdsfh usb hey do f ft h

Error Analysis

On a math test a student, Jake, has to identify all the coefficients and constants of
the expression 7b+ m + 8. Jake says that 7 is a coefficient and 8 is a constant. Identify all the
coefficients and constants of the expression. What error might Jake have made?

The coefficient(s) of the expression is are __
Use a comma to separate answers as needed.)

The constant(s) of the expression is/are __
(Use a comma to separate answers as needed.)

What error might Jake have made?

A. Jake said 7 is a coefficient. It is actually a constant.
OB. Jake said 8 is a constant. It is actually a coefficient.
OC. Jake did not include the constant 1.
OD. Jake did not include the coefficient 1.
Click to select your answer's).

Answers

The coefficient(s) of the expression is/are 7, 1

Use a comma to separate answers as needed.)

The constant(s) of the expression is/are 8

(Use a comma to separate answers as needed.)

What error might Jake have made?

OD. Jake did not include the coefficient 1.

Click to select your answer's

There are 40 questions in a test and you get 75 % correct. How many
questions do you get right?

Answers

Answer:

30

Step-by-step explanation:

To solve this problem the way I would do it would be:

75% = 3/4

40 ÷ 4 = 10 × 4

Since you have 75% or 3/4 you add 1/4 3 times. 1/4 of 40 is 10 so add 10 3 times.

10 + 10 + 10 = 30

Answer:

[tex]30[/tex]

Step-by-step explanation:

[tex]40 \times \frac{75}{100} = \\ 40 \times \frac{3}{4} = 30[/tex]

What is the value of X?

A: 15
B: 27
C: 45
D: 12

Answers

Answer:

D

Step-by-step explanation:

What is the value of x in the solution of the system x+y=3
y=-6x+3

Answers

The answer is 9 your welcome nice day
the answer is 9 I hope I helped !!

You manage an appliance store that currently has excess warehouse inventory. You decide to offer a price reduction on washer-dryer combination sets. As a result of the price reduction, the company sells 36 combination sets, and this reduces their inventory by 25%. How many washer-dryer combination sets are in the warehouse after the sale? 27 70 108 144 864

Answers

Answer:

108

Step-by-step explanation:

Let the amount of washer-dryer combination sets that are in the warehouse after the sale be x

Initial amount in the ware house is y

y - 36 = 75% of y

y - 36 = 0.75y

0.75y - y = -36

-0.25y = -36

y = 36/0.25

y = 144

The initial amount of wash dryer before sale is 144

After sale the amount of set in the house x = 144 - 36 = 108

Hence there 108 washer-dryer combination sets are in the warehouse after the sale

A.) what is the domain?
B.) what is the range?
C.) is this relation a function?

Answers

Answer:

The Domain is the set of all points over which a function is defined.

The range is the set of values the function takes on as output.

uhh.i dumb the screenshot is here

Answers

Answer:

40

Step-by-step explanation:

Just use a calculator. I didn´t need to. My brother helped me a little

The answer is 40 I believe

what is the interest earned in a savings account after 12 months on a balance of $2000 if the interest rate is 1.5% APY compounded yearly? round your answer to the nearest hundredth.

Interest = $ [?]

Answers

Answer:

$30

Step-by-step explanation:

2000 x .015 = 30

The interest earned in the savings account after 12 months on a balance of $2000 if the interest rate is 1.5% APY compounded yearly is $30

How to calculate compound interest's amount?

If the initial amount (also called as principal amount) is P, and the interest rate is R% per unit time, and it is left for T unit of time for that compound interest, then the interest amount earned is given by:

[tex]CI = P\left(1 +\dfrac{R}{100}\right)^T - P[/tex]

The final amount becomes:

[tex]A = CI + P\\A = P\left(1 +\dfrac{R}{100}\right)^T[/tex]

For this case, we're specified that:

Initial amount = P = $2000Interest rate 1.5% annually (compound interest), or R = 1.5Time for which interest will be compounded = 12 months = 1 year = T (converted time to year as interest is being compounded annually).

Thus, we get the amount of interest as:

[tex]CI = 2000\left(1 +\dfrac{1.5}{100}\right)^1 - 2000\\\\CI = 2000\times \dfrac{1.5}{100} = 30 \: \rm (in \: dollars)[/tex]

Thus, the interest earned in the savings account after 12 months on a balance of $2000 if the interest rate is 1.5% APY compounded yearly is $30

Learn more about compound interest here:

https://brainly.com/question/11897800

#SPJ2

disssss tooo helllllllpppp shoals shzn

Answers

Answer:

3/2

Step-by-step explanation:

Use this formula y2-y1/x2-x1

PLUG IN YOUR POINTS

-3 - -9/ 8- 4 =

6/4 (simplify)

1.5 or 3/2

Hope this helps ya!!

first to answer gets brainliest im being nice so what is 2+2 XD

Answers

Answer:

4

Step-by-step explanation:

what else o3o

Answer:

2+2=4

Step-by-step explanation:

tysm!!

find x it is multiple choice.​

Answers

Answer:

25

Step-by-step explanation:

Courtney works for the Red Cross and has been tasked with buying non-perishable items for families recently displaced by a hurricane. She finds a company willing to send her Meals-Ready-to-Eat (MREs) at a discounted price. Cases of small portion meals are $20.00 each and cases of large portion meals are $30.00 each. She buys a total of 20 cases and spends a total of $450.00.

Let x represent the number of small portion meals and let y represent the number of large portion meals. Write a system of equations, in terms of x and y, to model the situation. Enter your equations in the space provided.

Answers

9514 1404 393

Answer:

x + y = 2020x +30y = 450

Step-by-step explanation:

The equation for the total number of cases is ...

  x + y = 20

The equation for the total cost of the cases is ...

  20x +30y = 450

_____

Additional comment

The solution to these equations is (x, y) = (15, 5).

Find the equation to the line , Please help !!!!

Answers

the equation is y=-3/2+3

Answer:

y= -3/2 + 3

Step-by-step explanation:

I need help with this.​

Answers

Answer:

[tex]x + (3x - 9) = 5x - 30 \\ x + 3x - 9 = 5x - 30 \\ 4x - 9 = 5 x - 30 \\ - 9 + 30 = 5x - 4x \\ 21 = x \\ so..value \: of \: x \: is \: 21 \\ so. \\ <ACD = 5 \times 21 - 30 = 105 - 30 = 75° \\ < ACB = 180° - 75° = 115°[/tex]

<ACB = 105°

it is correct ans.

plazzz mark is as a brilliant ans

Ted sells cleaning supplies. He earns a monthly salary of $850.00, plus commission. He earns 5% commission on the first $10,000 in sales, and 7% commission on any sales over $10,000. If he sold $14,000 worth of supplies this month, how much will his pay be this month?

Answers

Answer:

$1830

Step-by-step explanation:

Step one:

Ted's monthly salary =$850.00

since he made sales over $10,000. that is he sold supplies worth $14,000

his commission will be 7% of $14,000

=7/100*$14,000

=0.07*$14,000

=$980

Required

His total earnings

Step two:

Hence his total earnings is, his monthly salary  plus 7% commission of  supplies worth $14,000

=$850.00+$980.00

=$1830

You spend 3 hours every day practicing the piano. What fraction of the day do you spend practicing the piano? Give your answer in simplest form.

Answers

Answer:

1/8th

Step-by-step explanation:

since there are 24 hours in a day

Answer: 1/8

Step-by-step explanation:

a day is 24 hours long. If you spend 3 hours out of 24 hours a day to practice piano it would be 3/24. Then to get it in simpilest  form, you divide 3 by 3 and 24 by 3 which would get you the answer 1/8.

Hope i helped have a good rest of your day!!

What Ps the value
of (100)^o​

Answers

Answer:

(100)^0=1

Step-by-step explanation:

This follows the laws of indices

Brooke has scores of 84, 72, 90, 95, and 87 on her first five quizzes. After taking the sixth quiz, Brooke's mean score increased. Which could be Brooke's sixth quiz score? Select three options. 85 90 83 86 92

Answers

Step-by-step explanation:

Mean average = (84 + 72 + 90 + 95 + 87) / 5 = 85.6

For the mean score to increase, the new score must be greater than 85.6.

Hence the correct options are 90, 86 and 92.

Answer:

b, d, and e

Step-by-step explanation:

Find the slope of the line passing through the points (3, 4) and (8,-3).

Answers

Answer:

-1.4

Step-by-step explanation:

Plz, Help me with this question!!!!

Answers

Answer:

152y+125

Step-by-step explanation:

Can someone help me please

Answers

I think this is right

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