The cost of a car rental is ​$30 per 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:

2. 5 miles

Step-by-step explanation:

Given that:

Rental cost = $30

Cost per mile driven = 18 cent

Daily budget = $75

Greatest distance you can drive each day while staying within budget :

Rental cost + (cost per mile driven * distance) ≤ daily budget

$30 + 18d ≤ $75

18d ≤ 75 - 30

18d ≤ 45

d ≤ 45 / 18

d ≤ 2.5

Greatest distance you can drive each day while staying within budget is 2.5 miles.

Step-by-step explanation:


Related Questions

Write an equation to make the number "24" using all the numbers 5,4,2,2 and +, -, x and ÷.

Answers

Answer: See explanation

Step-by-step explanation:

We are given the numbers 5,4,2, and 2 and told to make an equation from it and get a final answer as 24. This will be:

= 5 × 4 + 2 + 2

= 20 + 2 + 2

= 24.

Since we have gotten a final answer of 24, the equation is solved.

The diagram above shows a right prism container filled with water up to 8 cm in height.

Question : Calculate the volume,in cm³,of water needed to completely fill up the container.​

Answers

nvm ima delete this sry I thought I could do It lol

Find the two square roots of 144.

Answers

Answer:

The square root function

sqrt(144) or √144 produces a single positive value, 12.  

However if you have an equation

x² = 144, then you have two possible values for x, 12 and -12.  

Two ways to look at it.  

x² - 144 = 0

Difference of two squares

(x+12)(x-12) = 0

x = -12, 12

x² = 144

x = ±√144

x = ±12

x = -12, 12

Answer:

12 and -12

Step-by-step explanation:

144 is a perfect square which means that a number multiplies to it with the same number. In this instance both 12 and -12 equal 144.

12 x 12 = 144

-12 x -12 = 144 (two negatives equal a positive)

Solve each equation.
a. 6x + 4 = 34

Answers

6x=30
x=5
the answer is 5

Step-by-step explanation:

ans;

6x=34-4

6x=30

x=30/6

:x=5#

simplify
[tex]( \sqrt{5} )( \sqrt[3]{5} )[/tex]
a. 5 5/6
b. 5 1/6
c. 5 2/3
d. 5 7/6​

Answers

Answer:

[tex]A.5^{\frac{5}{6}}[/tex]

Step-by-step explanation:

[tex]We\ are\ given:\\(\sqrt{5})(\sqrt[3]{5})\\To\ simplify\ the\ given\ expression\ we\ may\ use\ the\ following\ two\\ 'Laws\ Of\ Exponents'.\\1.\sqrt[n]{a}=a^{\frac{1}{n}}\\2.m^a*m^b=m^{(a+b)}\\With\ these\ two\ equations\ we\ can\ proceed\ with\ our\ problem:\\Hence\ following\ Law\ 1,\\\sqrt{5}=5^{\frac{1}{2}} \\\sqrt[3]{5}=5^{\frac{1}{3}}\\Hence,\\\sqrt{5}*\sqrt[3]{5}=5^{\frac{1}{2}}* 5^{\frac{1}{3}}\\Hence,\\5^{\frac{1}{2}}* 5^{\frac{1}{3}}\\Now,\ by\ using\ Law\ 2,\\[/tex]

[tex]5^{(\frac{1}{2}+\frac{1}{3})}\\=5^{(\frac{3+2}{6})}\\=5^{\frac{5}{6}}\\[/tex]

Which expression is equivalent to 10 - 3(4x + 8)?

A.
-12x - 14

B.
12x + 14

C.
14 - 12x

D.
-14 + 12x

Answers

Answer:

10-3(4x+8)

=10-12x-24

=-12x-14

The answer is A. -12x-14

which model represents 1/3​

Answers

Answer:2nd one because 2/6=1/3

Step-by-step explanation:

If I can read 54 pgs in 3 days, how many can I read in 1 day?

Answers

Its 18 because you would divide 54 bu 3

Answer:

18

Step-by-step explanation:

so all you have to do is divide 54 by 3

Use the table to write the rule (equation) for the relationship between x
and y.
х
y
0
-2
-1
1
2
0

Answers

Answer:

y=x-2

Step-by-step explanation:

y= 0-2=-2

y= 1-2=-1

y= 2-2=0

(please mark me as brainliest)

Pls answer, will give brainliest...

Answers

Answer:

a = 5

b = 4

c = 2

Step-by-step explanation:

5 - 0 = 5

8 + 4 = 12 and 4 + 8 = 12

6 + 8 and 12 + 2 is 14

A student had 500 milliliters of water in a water bottle. She drank 25% of the water before soccer practice. After practice, she drank the remaining water. How much water, to the nearest ten 3 1milliliters does the student have left in the bottle?

Answers

Answer:

25\100*500=125

1/3*125=41.66

41.66 millilites is left in the bottle

Step-by-step explanation:

Awnser this: 3x + 2 = 14

Answers

Answer:

x=4

Step-by-step explanation: Because 3 times 4 is 12 plus 2 is 14.

Answer:

x=4

Step-by-step explanation:

First, you have to subtract 2 from both sides of the equation to isolate the variable. Then the equation becomes 3x=12. Next, you have to do the opposite of multiplication, which is division, and divide by 3 on both sides of the equation. 3x divided by 3 cancels out. 12 divided by 3 is 4. Therefore, x=4.

7.8 pounds of seedless red grapes for $2.85 per pound.

How much did Juan spend on seedless red grapes?

Answers

Answer:

$2.85

Step-by-step explanation:

Answer:

$22.23

Step-by-step explanation:

7.8 x 2.85 = 22.23 :D

how many days into xmas ?

Answers

Answer:

Christmas is in 10 days!

Other:

Brainliest? Thanks!

Which colonial region was the most culturally diverse

Answers

Answer: Middles colonies

A rule for creating a pattern is given below. Rule: Multiply X by 3. Then subtract 1 from the result to get y.

Answers

Answer:

y=3x-1

Step-by-step explanation:

if the third term in an arithmetic sequence is 7 and the common difference is -5, what is the value of the fourth term?​

Answers

Answer:

a₄ = 2

Step-by-step explanation:

Each term in an arithmetic sequence is obtained by adding the common difference to the previous term, then

a₃ = 7 , so

a₄ = a₃ + 5 = 7 - 5 = 2

Answer:

t4=a+(n-1)d

t4=7+(4-1)-5

t4=7+(-15)

t4=-8

After 4 new students joined a class, the class had 32 students. Which equation can be used to find n, the number of students in the class before the 4 new students joined? n A 32 Bn -4 = 32 C 4n = 32 Dn+ 4 = 32​

Answers

Answer: D

Step-by-step explanation: if 4 students joined ur adding to the class hope this helps :)

Answer:

The answer is D.

HELP ASAP PLEASE

7a. Find the value of x. (Hint: How many sides does the shape have?)
5x
4x + 2
5x + 5 5
x-10
2x-2
2y - 1 3x+5
Your answer
!
This is a required question
7b. Find the value of y."
Your answer
This is a required question

Answers

Answer:

x = 36

y = 34

Step-by-step explanation:

✔️Sum of the interior angles of an n-sided polygon = (n - 2) × 180

Thus, the figure given is a hexagon with 6 sides.

Therefore, the sum of its interior angles = (6 - 2) × 180

= 4 × 180 = 720.

This means:

(5x) + (4x + 2) + (5x + 5) + (2x - 2) + (3x + 5) + (x - 10) = 720

Solve for x

5x + 4x + 2 + 5x + 5 + 2x - 2 + 3x + 5 + x - 10 = 720

Add like terms

20x = 720

Divide both sides by 20

x = 36

✔️(2y - 1) + (3x + 5) = 180 (angles on a straight line)

Plug in the value of x

2y - 1 + 3(36) + 5 = 180

2y - 1 + 108 + 5 = 180

Add like terms

2y + 112 = 180

Subtract 118 from each side

2y = 180 - 112

2y = 68

Divide both sides by 2

y = 68/2

y = 34

Please help. Will award brainliest:)

Answers

If you give me 10 bucks I’ll eat a rainbow

When finding all the unknown values in similar right triangles you
have choices: you can use Proportional Relationships or the Pythagorean
Theorem. Which would you use for each of these examples, and why?

Find all the missing sides!

Answers

Answer:

sffsffrdffffgtgttgfftggggfhfffddgddgff

Each year on the same day, Susan deposits $100 into a savings account that earns simple interest at a rate of 3%. She makes no withdrawals. How much interest has Susan’s account earned after 2 years?

Answers

Answer:

200

Step-by-step explanation:

Hope this helps. :)

Answer:

the answer is 9$

Step-by-step explanation:

the other guy is waaaay wrong

How many games did Vernon download in March?

Answers

Answer:

None

Step-by-step explanation:

because Vernon has no friends to play them with

The data in the table are linear. Use the table to find the slope.
2
4
6
8
1
-2.
-5
-8
a.
b.
3
2
3
2
او را
d. 2
3​

Answers

Answer:

[tex]m = -\frac{3}{2}[/tex]

Step-by-step explanation:

Given

x 2 4 6 8

y 1 -2 -5 -8

Required

Determine the slope

First, pick any two corresponding x and y values.

[tex](x_1,y_1) =(2,1)[/tex]

[tex](x_2,y_2) =(8,-8)\\[/tex]

The slope (m) is then calculated using:

[tex]m = \frac{y_1 - y_2}{x_1 - x_2}[/tex]

Substitute in, the x and y values

[tex]m = \frac{1 - (-8)}{2- 8}[/tex]

[tex]m = \frac{1 +8}{-6}[/tex]

[tex]m = \frac{9}{-6}[/tex]

[tex]m = -\frac{9}{6}[/tex]

Divide numerator and denominator by 3

[tex]m = -\frac{9/3}{6/3}[/tex]

[tex]m = -\frac{3}{2}[/tex]

Hence, the slope is -3/2

Answer:

Is -3/2.

Step-by-step explanation:

I just took the test!

I need help on this question

Answers

Answer:

Step-by-step explanation:

nth term = 3n+2

a) first term = 3+2 = 5

Second term = 3(2)+2 = 8

Third term = 3(3) +2 = 11

b) tenth term = 3(10)+2 = 32

(X+5)/2 = (2x-1)/3 what’s x?

Answers

Answer:

x=  3x=17/4

Step-by-step explanation:

How much time will it take for an amount of ₹9000 to yield ₹810 as interest at 4.5% per annum of simple interest?
[Irrelevant answers will be reported]​

Answers

Answer:

2 years

Step-by-step explanation:

because 4.5 percent of 9000 is 405

405 times 2 is 810

so 2 years

Simplify √9a^2 if a<0
Answer not 5.5

Answers

Answer:

√9a2+16a2 = √25a2 = 5a

Step-by-step explanation:

Step-by-step explanation:solution given:

√(9a²=9a is your answer

- x+4y = 32
3х + 3y = 54

Answers

Look at the attachment

Which is a qualitative graph?

Answers

Step-by-step explanation:

Qualitative graphs are graphs that are used to represent situations that do not necessarily have numerical values. Qualitative graphs represent the essential elements of a situation in a graphical form. For example, Graph A could represent a car that is accelerating at a constant rate.

The numerical information from the definitive quantified variables research is given and represented utilizing quantitative graphs.Qualitative drawings were graphics that are used for circumstances without any numeric value.In graphical form, quality graphs are indeed the primary components of the scenario.Each frequency of attributes and qualities of a data set instance should be known.This analysis allows the researcher or analysts to obtain more massive data sets with the integral feature.

Therefore, the "Second graph" is the qualitative graph.

Learn more:

brainly.com/question/17146063

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