Carlos wants to rent a car. For the particular car he wants, Gentle Rental charges $185 per week plus 25 cents per mile driven. Rental Giant charges a flat fee of $275 per week. What is the number of miles driven so that renting from Gentle Rental cost Carlos less than renting from Rental Giant?


A. Less than or equal to 360 miles

B. Less than 360 miles

C. Less than or equal to 115 miles

D. Less than 1,840

Answers

Answer 1

Answer:

B. Less than 360 miles

Step-by-step explanation:

Let the number of miles driven be [tex]x[/tex]

The cost of renting from Gentle Rental per week is

[tex]185+0.25x[/tex]

The cost of renting from Rental Giant per week is [tex]275[/tex].

Now we have to find after how many miles the cost of renting from Gentle Rental cost Carlos less than renting from Rental Giant

[tex]185+0.25x<275\\\Rightarrow 0.25x<275-180\\\Rightarrow x<\dfrac{90}{0.25}\\\Rightarrow x<360[/tex]

So, the answer is less than 360 miles.


Related Questions

Jennifer is 40 miles north of her house, and she is driving north on the highway at a rate of 35 miles per
hour.
The slope is ?
The y-intercept is ?

Answers

Answer:

The slope is 55.

Step-by-step explanation:

Slope determines the direction and the rate of increase or decrease between the two points on a surface or line.

In the question, it is given initially she is 20 miles north of her house

⇒ When x = 0 the y-coordinate is 20

So, the y-intercept is 20

Now, it is given that the rate of change is 55 miles per hour

Hence, the slope is same as 55 because it is the actual rate of change between the positions of Jennifer with time.

2(7-8.5)^2-3|3.5-5|=

Answers

Answer: 0

Step-by-step explanation:

2(7−8.5)2−3(|3.5−5|)

=2(−1.5)2−3(|3.5−5|)

=(2)(2.25)−3(|3.5−5|)

=4.5−3(|3.5−5|)

=4.5−3(|−1.5|)

=4.5−(3)(1.5)

=4.5−4.5

=0

I NEED THIS DONE ASAPPPP
expand 4(m+2)

4(m+2) =

Answers

4(m + 2) expanded is 4 x m and 4 x 2

simplified: 4m + 8

Use the expression 1/4p−(1-1/3p). Rewrite the expression without parentheses.Simplify. Show your work. Use a different method to write the expression without parentheses. Do not simplify

Answers

the expression without parenthesis would be 7/12p-1 because you have to distribute the negative sing to both terms in the parenthesis which are 1 and -1/3p so they would turn into -1 and 1/3p then you add 1/4p to 1/3p by making the denominators the same. 3x4=12 and 1/3=4/12 and 1/4=3/12. Now add 4/12+3/12 and you get 7/12. Since 7/12 has a variable next to it, you can’t had the -1 so you just leave it like 7/12p-1

Which linear inequality is represented by the graph?
O y s 2x + 4
Oys2x+3
O y z 2 / 3x + 3
O y 22x + 3

Answers

Given:

The graph of an inequality.

To find:

The inequality for the given graph.

Solution:

From the given graph it is clear that the boundary line passes through two point (0,3) and (2,4). So, the equation of boundary line is

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]y-3=\dfrac{4-3}{2-0}(x-0)[/tex]

[tex]y-3=\dfrac{1}{2}(x)[/tex]

[tex]y=\dfrac{1}{2}x+3[/tex]

The shaded area lies below the boundary line and the boundary line is a solid line. So, the sign of inequality must be ≤.

The required inequality is

[tex]y\leq \dfrac{1}{2}x+3[/tex]

Therefore, the correct option is B.

PLEASE HELP!!!

A quadratic equation has two roots: -2 and 3. Which describes the location of the roots on the graph of the equation?

a) at the point (-2,3)

b) crossing the x-axis at -2 and 3

c) at the point (3,-2)

d) crossing the y-axis at -2 and 3

e) at the vertex of the parabola​

Answers

Answer:

Answer b) : crossing the x-axis at -2 and 3

Step-by-step explanation:

The roots will be located at the crossing of the graph with the x-axis at the points (-2, 0) and (3, 0).

Therefore, the correct answer is that labeled b)

Help please! Look at pic ASAP! Giving brainlest to the right amswer

Answers

Answer:

27 divided by 6=?

=4.5

divide the 27 into 6 equal container to get the amount of ounce per container

please answer 14 and 15 please!

Answers

Answer: number 14 is 30.78 x 10 to the exponent of 11

Step-by-step explanation:

you multiply 8.1 and 3.8 together which would equal 30.78 and you add the exponents together since they are being multiplied.

The table shows the average bill totals for given numbers of diners at Simone's restaurant. If the rate is constant and you graph this relationship with the number of people along the x-axis and bill amounts along the y-axis, which points will lie on the line you get?

a. (12, 470)
b. (20, 800)
c. (24, 1,020)
d. (27, 1,080)
e. (28, 1,110)

Answers

Answer: B and D

Step-by-step explanation: 40 * 20 = 800 and 40 * 27 = 1,080

The point (20 , 800)  and ( 27 , 1080 )lies on the line.

Option (b) and (d) is correct.

It is given that average bill totals for given numbers of diners at Simone's restaurant.

To find which points will lie on the line you get.

What is co-ordinate?

Coordinates are distances or angles, represented by numbers, that uniquely identify points on surfaces of two dimensions (2D) or in space of three dimensions ( 3D ).

The rate is constant.

Graph this relationship with the number of people along the x-axis and bill amounts along the y axis.

y = mx + c

=> 40 =m+ c

80 = 2m + c

=> m = 40

40 = 40 + c

=> c = 0

Hence

y = 40x

x = 12 => y = 480

x = 20 => y = 800

x =24 => y = 960

x = 27 => y = 1080

x = 28 => y = 1120

Hence (20 , 800) and ( 27 , 1080 ) point lies on the line

Learn more about the co-ordinate here:

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Y2-x3 when x=2,y=4 x1+x3-y2 when x=3 y=5 x4 divide x3 x=6 please help am bad at this

Answers

Answer:

8 , 5 , 5.785

Step-by-step explanation:

y^2 - x^3

first just plug in the numbers and you get

(4)^2 - (2)^3

Multiply

16-8 and this equals 8

x1 + x^3 - y^2

same pattern plug in the numbers

(3)^(1) + (3)^3 - (5)^2

multiply

3 + 27 - 25

P

E

M

D

Addition

Subtraction so do 3+27 first and you get

30 - 25 = 5

x^4 / x^3 plug it in

(6)^4 / (6)^3

multiply

1269  / 216  

divide this and you get

5.875

A school has 575 pupils. 56% of the pupils are boys. how many are girls?​

Answers

44% just subtract 56 from 109

There are 253 girls in a school.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

A school has 575 pupils.

And, There are 56% of the pupils are boys.

Here, 56% of the pupils are boys.

Hence, Percent of the girls = 100% - 56%

                                          = 44%

Since, A school has 575 pupils.

Hence, Number of girls = 44% of 575

                                     = 44/100 × 575

                                     = 253

Learn more about the percent visit:

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jennifer is designing shirts for her dance team. she bought 2 and 1/4 of fabric her total cost was $15 what was her cost per yard

Answers

Answer:

I believe it $6.67

Not sure, sorry!

Step-by-step explanation:

*will give brainliest to the person who answers first*

At a high school, 9th and 10th graders were asked whether they would prefer
robotics or art as an elective. The results are shown in the relative frequency
table.

To the nearest percent, what percentage of 10th graders surveyed preferred
robotics?

A. 61%
B. 33%
C. 51%
D. 54

Answers

Answer:

33%

Step-by-step explanation:

decimal x 100

3x-5y=15 in slope intercept form​

Answers

Answer:

I think the answer will be y=3/5x-3

Answer:

y = 3/5x - 3

Step-by-step explanation:

Slope-intercept form is y = mx + b.

For this question, all you need to do is move some stuff around!

In slope intercept form, the x is on the right side, so you would first subtract x from both sides.

3x - 5y = 15

Next, you would divide both sides of the equation by -5 to get y by itself.

-5y = 15 - 3x

Finally, rearrange the equation. y = mx + b

y = -3 + 3/5x

y = 3/5x - 3

The sum of two odd consecutive integers is 88. Find the integers.

Answers

-- there is an equation to find this: (2n + 1) + (2n + 3) = (whatever number is given as their sum)

use the equation: 2n + 1 is an odd interger, 2n + 3 is the next odd integer.

(2n + 1) + (2n + 3) = 88

add like terms.

4n + 4 = 88

4n = 84

n = 21

now plugin.

2(21) + 1

42 + 1

= 43 (the first odd integer)

this means the second one would be 45.

answer: 43 and 45

add them to check:

43 + 45 = 88

-10 + -3u = -4 answer please

Answers

Answer:

U=-4.66666 sorry if this is wrong I tried though

Step-by-step explanation:

-10 + -3u = -4

-3u=-14

U=-4.66666

Enter the minimum value for the function f(x)=3x^2-12x+4

Answers

Answer:

(2,-8)

Step-by-step explanation:

use the formula : x= -b/2a

Hope i helped :)

PLS HELP FAST!

A Food Pantry is making packages, Each package weighs 64 pounds.
Scenario 1: Each Package contains 4 identical bags of rice and a 7-pound bag of beans.

a. write an equation to represent the situation using x.

Scenario 2: Each package contains 4 boxes. Each box contains a 7-pound bag of beans and a bag of rice. The bags of rice are all identical.

b. write an equation to represent the situation using x.

I will give brainliest if I figure out how to. I don't know how to. If I figure it out, I will give you one.

Answers

Answer: 4(x) + 7= 64 lbs

Step-by-step explanation:

Scenario 1: 4(x) + 7= 64 lbs

Scenario 2:  4(x) + 7= 64 lbs

Michael and Bill are 238 miles apart, traveling towards each other. If Bill travels 20 mph and Michael travels 14 mph how long until they meet?

Answers

Answer:

They will meet in 7 hours.

Step-by-step explanation:

They are traveling toward each other, which means that their relative speed is the sum of their speeds.

Bill travels 20 mph and Michael travels 14 mph

This means that their relative speed is of 20 + 14 = 34 mph, that is, they get 34 miles closer each hour.

Michael and Bill are 238 miles apart, how long until they meet?

Each hour, they will be 34 miles closer. How many hours for 238 miles?

1h - 34 miles

x h - 238 miles

By rule of three

[tex]34x = 238[/tex]

[tex]x = \frac{238}{34} = 7[/tex]

They will meet in 7 hours.

Please answer quickly
Our national debt is growing rapidly. Find the current amount owed and share this information in a post to this discussion board, while answering the following questions:
Share the debt amount in standard notation and scientific notation.
How quickly does the debt grow?

Answers

Answer:

a. The current national debt is roughly 27.832 trillion dollars.

b. In standard notation, this is: $27,832,000,000,000.

c. In scientific notation, this is: [tex]2.7832 x 10^{13}[/tex].

d. It grows (on average) roughly 2-3 percent per year, which, for recent years, is around 800 billion dollars per year.

I hope this helps! Please feel free to give me Brainliest if you feel this helped. Have a good day and a good rest of your 2021. :)

(image from Market Watch.)

Answer:

the current national debt is $27,800,000,000,000. this number is scientific notation equals 10^13 times 2.78. it grows around 2 percent per year.

have a good day :)

Can someone help!(freckle math)
A crew of highway workers paved 1/3 mile in 1/4 hour. If they work at the same rate,how much will they pave in one hour?

Answers

they will pave 1 1/3 miles in 1 hour

complete each congruence statement and name the rule used if you cannot show the triangles are congruent from the given information leave the triangles name blank and write s NBT for cannot be determined in place of the rule ​

Answers

Answer:

LAW=WKL

By rule: ASA|SAA

Step-by-step explanation

don't know how to explain it

The triangle LAW ≅ WKL by ASA congruence property.

What is ASA congruency?

If corresponding two angles and one corresponding side of two triangles are of same measurement, then the considered pair of triangles are congruent.

We have to complete each congruence statement and name the rule used if cannot show the triangles are congruent from the given information leave the triangles name blank .

The triangle LAW ≅ WKL by ASA congruence

WL = WL (COMMON SIDE)

∠ALW = ∠KWL

∠AWL = ∠KLW

Also, These statements can be noted from the image.

Therefore, The triangle LAW ≅ WKL by ASA congruence property.

To know more about Congruence;

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change 27 km 280m into metre​

Answers

Answer:

27,280metres

Step-by-step explanation:

27*1000m+280

27,280m

Answer:

27280

Step-by-step explanation:

1km = 1000 metres

27km = 27000 metres

27000 + 280 =27280 metres

What is the area of the following circle?
Either enter an exact answer in terms of pie or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal.

Answers

Answer:

153.86 units²

Step-by-step explanation:

From the question given above, the following data were obtained:

Pi (π) = 3.14

Radius (r) = 7 units

Area (A) =?

The area of a circle can be obtained by using the following formula:

A = πr²

A = 3.14 × 7²

A = 3.14 × 49

A = 153.86 units²

Thus, the area of the circle is 153.86 units²

Recall that for use of a normal distribution as an approximation to the binomial distribution, the conditions np greater than or equal to 5 and nq greater than or equal to 5 must be met. For p= 0.9, compute the minimum sample size needed for use of the normal approximation. Round your answer to the next whole number.
The minimum sample size needed for use of the normal approximation is =

Answers

Answer:

The minimum sample size needed for use of the normal approximation is 50.

Step-by-step explanation:

Suitability of the normal distribution:

In a binomial distribution with parameters n and p, the normal approximation is suitable is:

np >= 5

n(1-p) >= 5

In this question, we have that:

p = 0.9

Since p > 0.5, it means that np > n(1-p). So we have that:

[tex]n(1-p) \geq 5[/tex]

[tex]n(1 - 0.9) \geq 5[/tex]

[tex]0.1n \geq 5[/tex]

[tex]n \geq \frac{5}{0.1}[/tex]

[tex]n \geq 50[/tex]

The minimum sample size needed for use of the normal approximation is 50.

If g(x)is the inverse of f(x) and f (x) = 4 x + 12, what ig(x)
g (x) = 12 x + 4
g (x) = one-fourth x minus 12
g (x) = x minus 3
g (x) = one-fourth x minus 3

Answers

Answer:

The inverse of a given function

d) [tex]g(x) = \frac{1}{4} x - 3[/tex]

Step-by-step explanation:

Explanation:-

Given that f(x) = 4x + 12

  let y = 4 x + 12

     4 x = y - 12

        [tex]x = \frac{y-12}{4}[/tex]

        [tex]x = \frac{1}{4} y - 3[/tex]      

we know that   y = f(x)

                   ⇒  x = f⁻¹(y)

      [tex](f^{-1} y) = \frac{1}{4} y - 3[/tex]

Put  replace 'y' in 'x'

    [tex](f^{-1} x) = \frac{1}{4} x - 3[/tex]

Final answer:-

The inverse of a given function

[tex]g(x) = \frac{1}{4} x - 3[/tex]

Answer:

D

Step-by-step explanation:

Right on edge

Is 3^2 + 3^3 equal to 3^5?Explain.

Answers

I Did both ways And I honestly don’t think so, if your saying 3^2+3^3 would be equal it wouldn’t. Because that would equal to 36 and 3^5 is 243 so I would say no but that’s my opinion



3^2+3^3=36
3^5=243

Six people buy pumpkins for $5 each. How much is the total cost for all the pumpkins?

Answers

Answer:

$30

Step-by-step explanation:

6 people and each one buys a $5 pumpkin so we'll multiply

6x5=30 dollars

Answer:

if each person is buying one than 30 together but if there's no amount than who knows

Step-by-step explanation:

5×6=30

What is the equation of the following line? Be sure to scroll down first to see
all answer options.
A. y=-1/2x
B. y=1/4x
C. y=-2x
D. y=1/2x
E. y=2x
F. y=4x

Answers

Answer:

y=-2x

Step-by-step explanation:

The answer is y= -2x (C.)


Which phrase represents 3 - 7x

Answers

Answer:

What are the phrases?

Step-by-step explanation:

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