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

PLZ ANSWER.. I NEED HELP!?!?

factorise x^2+5x+6​

Answers

Answer:

there is no like terms

Step-by-step explanation:

Answer:

(x+2)(x+3)

Explanation:

(x+2)(x+3)

If you simplify this, you get:

x*x = x^2

x*3 = 3x

2*x = 2x

2*3 = 6

If we add these all together we will have:

x^2 + 3x + 3x + 6

Combine like terms

x^2 + 5x + 6

17. Write a rational function in expanded form that satisfies the
following criteria:
• V.A. x=2
• SI.A y =5x-1
• Zero of function (-1,0)

pls help thank you<3

Answers

Answer:

[tex]f(x) = \frac{5x^2 + 4x - 1}{x - 2}[/tex]

Step-by-step explanation:

Given

VA; [tex]x = 2[/tex]

SLA: [tex]y = 5x - 1[/tex]

Zero of function: [tex](-1,0)[/tex]

Required

Determine the rational function in expanded form

Analyzing the vertical asymptote

The vertical asymptote is given as:

[tex]x = 2[/tex]

Subtract 2 from both sides

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

[tex]x - 2 = 0[/tex]

This means that the denominator must be [tex]x - 2[/tex]

Analyzing the zero of the function

The zero of the function is given as: [tex](-1,0)[/tex]

This means that [tex]x = -1[/tex], when [tex]y = 0[/tex]

Equate [tex]x = -1[/tex] to 0 by add 1 to both sides

[tex]x + 1 =- 1 + 1[/tex]

[tex]x + 1 =0[/tex]

This means that one of the numerators must be [tex]x + 1[/tex]

Analyzing the slant asymptote:

[tex]y = 5x - 1[/tex]

This means that one of the numerators must be [tex]5x - 1[/tex]

Hence, the function is:

[tex]f(x) = \frac{(5x - 1)(x+1)}{x - 2}[/tex]

Expand the numerator

[tex]f(x) = \frac{5x^2 + 5x - x - 1}{x - 2}[/tex]

[tex]f(x) = \frac{5x^2 + 4x - 1}{x - 2}[/tex]

I NEED HELP ASAP IT IS FOR CHRISTMAS!!!!!!THESE ARE ALL MY POINTS!!
If three kids that want to buy something that cost $35.99 how much would each of them have to pay? Any ideas for what i should get my mom and dad?!!!! please help

Answers

Answer:

They should pay $12 each

Answer:

about 12 dollars probably more with tax maybe around 12.03

Please answer correctly !!!!!!!!!!!! What is the triangle ?!!!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Isosceles Right

Isosceles, since the two side lengths are equal, and it is a right triangle since it has a 90 degree angle and two other 45 degree angles.

Answer:

Isosceles Right

Step-by-step explanation:

Withby tuns 3/4miles in 1/6 hours at that rate how far can she run in one hour?

Answers

Answer:

4.5 miles ibelieve

Step-by-step explanation:

3/4 × 6/6 is 4.5 miles

I NEED HELP ASAP PLSSSSSSS

Answers

Answer:

53 degrees

Step-by-step explanation:

Answer:

53

Step-by-step explanation:

180-127=53

Plz help me if your a Genius at math!!!and I will gave Brainliest

Answers

Answer:

320

190

318

42.241951146971

Step-by-step explanation:

9514 1404 393

Answer:

320 units²190 units²318 units²43.8 units²

Step-by-step explanation:

The area formula for a rectangular prism is ...

  A = 2(LW +H(L+W))

For (L, W, H) = (8, 8, 6) ...

  A = 2(8·8 +6(8+8)) = 2(64 +96) = 320 . . . square units

For (L, W, H), = (2, 9, 7) ...

  A = 2(2·9 +7(2 +9)) = 2(18 +77) = 190 . . . square units

For (L, W, H) = (6, 7, 9) ...

  A = 2(6·7 +9(6 +7)) = 2(42 +117) = 318 . . . square units

__

The area of the triangular prism is the sum of its triangular base areas and the lateral area. The lateral area is the product of the base perimeter and the length of the prism.

  A = 2(1/2)bh +PL

  = 3(2.6) +(3+3+3)·4

  = 7.8 +9·4 = 43.8 . . . square units

Name the following note!!

Answers

Answer:

Maybe this will help btw not math

Step-by-step explanation:

Molly has already taken 5 quizzes during past quarters, and she expects to have 4 quizzes during each week of this quarter. Write an equation that shows the relationship between the number of weeks x and the total number of quizzes y. Write your answer as an equation with y first, followed by an equals sign.

Answers

Answer:

y = 5 + 4(w)

Step-by-step explanation:

Given that:

Consider y to be the total number of quizzes and x to be the number of weeks;

The number of quizzes already taken during the past quarters = 5

The number of quizzes to be each week = 4  

Therefore, the total number of quizzes is represented by quiz given during the past quarter and the quiz to be given in the future during every week of the quarter.

i.e

Total number of quiz y = quiz already taken during the past quarter + number of quiz each week(total number of weeks)

y = 5 + 4(w)

This is the required relationship between the number of weeks x and the total number of quizzes y.

please help me with this question

Answers

Answer:

12cm

Step-by-step explanation:

You can draw a triangle with hypotenusa 13, height h and base 5 (the difference between the radius 9 and 4). Then pythagoras tells us that

13² = h² + 5²

so

h = 13² - 5² = √144 = 12

A pickup truck carrying 10*3 identical bricks weighs 6,755 pounds. If the empty truck weighs 6,240 pounds, what is the weight of each brick? Explain how you solved the problem.

Answers

Answer:

The truck now weighs 2130 kilograms. Hope this helps.

Step-by-step explanation:

alec is seven years younger than his older brother Ethan if alec is 24 years old how old is Ethan​

Answers

Answer:

Ethan is 31 years old if Alec is 24 years old.

Step-by-step explanation:

24 + 7 since Alec is seven years younger than his older brother so you add seven to his age

Answer:

31

Step-by-step explanation:

Alec is seven years younger than his older brother Ethan

So

If Alec is 24 years old then Ethan will be

24+7

31

A student worked out at a gym continuously for 50 minutes. The graph shows the remaining percentage of the workout as a linear function of x , the time in minutes.



Which answer choice best describes the domain and range of the function for this situation?

Answers

Small problem....

There is no graph!

ill be happy to solve this if i saw a graph

I need help with this ​

Answers

Answer:

1. y=14

2. x=22

3. z=3

4. n=14

5. a=10

6. m=-5

7. b=26

8. c=15

9. x=80

10. g=20

11. x=-5

12. w=-4

13. r=45

14. k=12

15. f=50

16. j=2

17. r=21

18. t=47

solve 3cosx-1,0<=x<=pi/2

Answers

Answer:

E(-9)≈3.4936

Step-by-step explanation:

Calculate the arc length of the following curve from x = 0 to x = π/2:

y(x) = -1 + 3 cos(x)

Hint: | The definition of arc length in Cartesian coordinates is s = integral_(x_0)^(x_1) sqrt(1 + y'(x)^2) dx.

Apply the definition of arc length to y(x) = -1 + 3 cos(x) for 0<x<π/2:

s = integral_0^(π/2) sqrt(1 + (d/dx(-1 + 3 cos(x)))^2) dx

Hint: | What is d/dx(-1 + 3 cos(x))?

Compute the derivative d/dx(-1 + 3 cos(x)):

= integral_0^(π/2) sqrt(1 + (-3 sin(x))^2) dx

Hint: | Can the integrand be simplified?

Simplify sqrt(1 + (-3 sin(x))^2):

= integral_0^(π/2) sqrt(1 + 9 sin^2(x)) dx

Hint: | Can this integral be computed?

Compute the definite integral:

Answer: E(-9)≈3.4936

Which of these tables represents a non-linear function?
х
17
18
19
y
20
19
18
17
20
х
17
18
19
20
y
-16
-17
-18
-19
Х
17
18
19
20
у
16
17
19
20
у

Answers

Answer:

Its C.

Step-by-step explanation:

Non-linear functions address the problems of a linear activation function: They allow backpropagation because they have a derivative function which is related to the inputs. They allow “stacking” of multiple layers of neurons to create a deep neural network.

Sophia's dad paid $43.25 for 12.5 gallons of gas. What is the cost of one gallon of gas

Answers

Answer:

It is $3.46

Step-by-step explanation:

Hope this helped have an amazing day!

what is eqivalent to 1/11

Answers

Answer:

it may be different answers i.e 0.09 and 11^-1

Write the equation of the line in slope intercept form that passes through the point (6, -1) and has a slope of -2.

Answers

Answer:

Y=6X-32

Step-by-step explanation:

Answer:

y-y1=m(x-x1)

y-6=-2(x-(-1))

y-6=-2(x+1)

y-6=-2x-2

y=-2x+4

Step-by-step explanation:

José paid $47.00 for 4 movie tickets. Each ticket cost the same amount. What was the cost of each movie ticket in dollars and cents?​

Answers

11.75$ you divide 47.00/4 since their are 4 tickets and they are all the same price

which model represents 1/3​

Answers

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

Step-by-step explanation:

IN A GAME,THE PROBABILITY OF THE SPINNER LANDING ON A 2 IS 1/3. HOW MANY TIMES WOULD YOU SPIN EXPECT TO LAND ON A 2 IF YOU SPIN THE SPINNER12 TIMES. PLEASE HELP!!! PLEASE HELP ASAP!! WILL MARK BRAINLIIEST!!

Answers

Answer:

I’m pretty sure u would spin it 4 times

Step-by-step explanation:

I hope that helps check with someone else tho ❤️❤️

Mr. M has a recipe for sourdough bread. He uses 8/3 cups of flour to make 2 loaves of sourdough bread. If you were to follow the same recipe, which equation would work for making y loaves of bread with x cups of flour?

Answers

Answer:

2y=8/3x

Step-by-step explanation:

PLEASE HELP! 5TH GRADE MATH! Select the best estimate of the product of Select the best estimate of the product of 52 x 89 = ____

Answers

Answer:

400

Step-by-step explanation:

50x80=400, you just ignore the ones digits so its easy to solve. (5x8x100)

what is -1 1/2, -12, -4.3 least to greatest

Answers

With negative numbers the larger the number the lower the value. For example -2 is less than -1

The order from least to greatest would be:

-12, -4.3, -1 1/2

Noah is solving an equation, and one of his moves is unacceptable. Here are the moves he made.

Which answer best explains why the “divide each side by step” is unacceptable?

a. When you divide both sides of 2x = 6x by X you get 2x² = 6x²

b. When you divide both sides by 2x = 6x it could lead us to think that there is no solution while, in fact, the solution is x = 0.

c. When you divide both sides of 2x = 6x by x you get 2 = 6x.

d. When you divide both sides of 2x = 6x by x it could lead us to think that there is no solution while, in fact, the solution is x = 3

Answers

Answer:

b. When you divide both sides by 2x = 6x it could lead us to think that there is no solution while, in fact, the solution is x = 0.

Step-by-step explanation:

The solution is correct up to the step 2x = 6x

2x = 6x

Subtract 2x from both sides.

0 = 4x

Divide both sides by 4.

x = 0

You cannot divide both sides by x since x could be zero, and in fact, it is.

Answer: b. When you divide both sides by 2x = 6x it could lead us to think that there is no solution while, in fact, the solution is x = 0.

The correct option is (b) When you divide both sides by 2x = 6x it could lead us to think that there is no solution while, in fact, the solution is x = 0.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The linear equation is:

2(x + 6) - 4 = 8 + 6x

After simplifying the above linear equation in one variable:

2x = 6x

The correct steps are:

6x - 2x = 0

4x = 0

x = 0

When you divide both sides by 2x = 6x it could lead us to think that there is no solution while, in fact, the solution is x = 0.

Thus, the statement best explains that “divide each side by step” is unacceptable" is When you divide both sides by 2x = 6x it could lead us to think that there is no solution while, in fact, the solution is x = 0.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ5

Please help me with this homework

Answers

Answer:

your x's will be -2, -1 , 0 , 1, 2

and your y's will be -5, -2, 1, 4, 7

6th grade math i mark as brainliest​

Answers

Answer:

9. 30/6

10. 7.6 and u

Step-by-step explanation:

AJKL-AXYZ. Find the scale factor from AJKL to AXYZ.
20
x
10]
8
16
2 10 y
L
20_k
2/1
172
524
4
/

Answers

Answer:

1/2

Step-by-step explanation:

Since you are going from the biggest to smallest, it would be 1/2. If you are going from the smallest to biggest it would be 2. So the answer is 1/2. :)

Help, please. My assignment is past due so pls hurry.

Answers

Answer:

X=8

Step-by-step explanation:

46+9x-8=14x-2

46-8+2=14x-9x

40=5x

8=x

Answer:

x=8

Step-by-step explanation:

Hope this helped have an amazing day!

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