It costs $32 per day to rent a medium-sized car, plus $0.25 for each mile driven over 150 miles. The equation that represents this situation is y = 0.25x + 32, where y represents the total cost of renting a car, and x represents the number of miles driven over 150 miles.
a.) What is the slope and what does it represent in the context of this problem?

b.) What is the y- intercept and what does it represent in the context of this problem?

Answers

Answer 1

Answer:

Read explanation

Step-by-step explanation:

A)The slope is the number before the X so 0.25, this represents the amount of money people have to pay for each mile driven over 150 miles.

B) The y-intercept is the number after the X so 32, this number represents the amount people have to pay rent the car before actually using it.


Related Questions

A numerical expression is evaluated as shown.



32 ÷ {57 – 49} × 4 + 27



Step 1: 32 ÷ 8 × 4 + 27

Step 2: 32 ÷ 32 + 27

Step 3: 1 + 27

Step 4: 28



In which step does a mistake first appear?



Answers

Answer:

step 2

Step-by-step explanation:

BODMAS they multiplied first instead of dividing

The lottery randomly draws 4 numbers out of 48 for a game and order doesn’t matter. A women selects 4 numbers, what is the probability the she wins the lottery?

Answers

Answer:

4/48 simplified by 4 = 1/12

The probability is 1/12

.............

Which expression is equal to
сол
(A
5x8
8 x 5
C8= 5
5=8

Answers

Is probably C and D good luck!
And have a nice day

A "triply" number is a two digit number equal to three times the product of its digits. List all the triply numbers.

Answers

Answer:  ONLY 15, and 24 there are not more 2 digit triply numbers i have checked all the 2 digits numbers ranging from 10 to 99

Yes there are only 2 triply numbers! Isnt it shocking! I have tried for 2 digit triply numbers from 10 to 99! Yes i did that! Lets go through a basic idea first the product of its digits mean that you mulitply whatever number your checking for a triply number. Example: your checking 15 for a triply number so 1 x 5 = 5 ( you multiply the digits in the 2 digit number to find the product of its digit)! What does 3 times the product of its digits then? hmmmmm. we know that 15's product of its digit is 5 so we mulitiply 5 x 3 because it says three times the product of its digits.

Step-by-step explanation:

15 = 1 x 5 = 5 (we do 1 x 5 because we need to find the product of its digits and to do that we multiply the digits together in the 2 digit number).

5 x 3 = 15 (we multiplied 15 x 3 because it says 3 times the product of its digits. we know the product is 5 and 3 times is multiply by 3 so we do 5 x 3 which equals to 15).

So 15 is a triply number because in the second step when we multiplied 5 x 3 we got 15; and we were checking if 15 was a triply number; because we got 15 as the answer in the second step it is a triply number).

24 = 2 x 4 = 8

8 x 3 = 24  

so we got 24 as the answer again in the second step which means that 24 is a triply number.

In short, you multiply the digits in the number then whatever you get as the answer you multiply it by 3. if you get the digits from te number that you multiplied then you know that number is a triply number. from the number 10 to 99 there are ONLY 2 NUMBERS. I saw people only give 2 numbers online and i was like why does no one give all the triply but in reality there are only 2 triply numbers which are 2 digits. You can check for yourself if you dont believe me using the method above. Thank you! I hope it helped if it helped please give me a thumbs up!

We will find that the "triply" numbers are:

-15, 15, -24, 24.

How to find the "triply" numbers?

We know that these aer two-digit numbers, so we can write them as:

a*10 + b

Where a and b are single-digit numbers.

A "triply" number is equal to 3 times the product of its digits, then we must have:

a*10 + b = 3*(a*b)

Moving all to one side, we have:

10a + b + 3ab = 0

So a "triply" number must meet the above criteria.

Now, the values that can take b are all the single-digit values {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

So now we need to evaluate b and find the possible vales of a.

if b = 0, then:

10*a + 0 - 3*a*0 = 0

10*a = 0

Then a = 0, but this will not give a 2-digit number.

if b = 1 then:

10*a + 1 - 3*a*1 = 0

10*a - 3a = -1

7*a = -1

a = -1/7

This is not a single-digit number.

if b = 2

10*a + 2 - 3*2*a = 0

4*a = -2

a = -2/4

This is not a single-digit number.

if b = 3

10*a + 3 - 3*3*a = 0

a = -3

a should be positive.

if b = 4 we have:

10a + 4 - 12a = 0

-2a = -4

a = -4/-2 = 2

So this gives the number 24.

if b = 5 we have

10a + 5 - 15a = 0

-5a = -5

a = -5/-5 = 1

So this gives the number 15

if b = 6

10a + 6 - 18a = 0

-8a = -6

a = -6/-8

This is not a single-digit.

if b = 7

10a + 7 -21a = 0

-11a = -7

a = -7/-11

At this point we can see that for larger values of a, we will not get more tripply numbers.

So the only "triply" numbers are: 15 and 24 (and their opposites, -15 and -24).

If you want to learn more about evaluating equations, you can read:

https://brainly.com/question/4344214

-5
for
f(x) =
- 4 < x < 1
1 - X – 5
for

Answers

Answer:

the total cost for roller skating depends on the number of hours a person skates. which equation represents the relationship btw the cost c and the ...

1 answer

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20 votes:

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20 votes:

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20 votes:

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1 answer

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20 votes:

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Step-by-step explanation:

Which of the following equations have only one solution? Select all correct answers.
x²-x-6=0
5 x2 + 20 x+ 20 = 0
9x2 - 25 = 0
4x2+4 x=0
12+ 6 x+9= 0​

Answers

Answer:

The equations which have only one solution is: 5x²+20x+20=0,

Step-by-step explanation:

Answer:

5x^2 + 20x + 20 = 0

12+ 6x +9= 0​

Step-by-step explanation:

5x^2 + 20x + 20 = 0  /5             12 + 6x + 9 = 0        

x^2 + 4x + 4 = 0                          6x = -9-12

(x+2)^2=0                                    6x = -21

x + 2 = 0                                      x = -21/6

x=-2                                             x = -3.5

Question #4. A $25 baseball hat is on sale for 25% off. What is the sale
price?

Answers

18.75 sale price hope this helped

the sale price is $18.75

Use the long division method to find the result when 12x^3+17x^2+12x+4 is divided by 3x + 2.

Answers

Answer:

Step-by-step explanation:

not sur

e

Answer: 307 ÷ 24 = 209 ÷ 32 = 456

Step-by-step explanation:

please help me with these questions!!!!!!

Answers

Step-by-step explanation:

jdjdjcycyehvwjduuxjsjsjdudu

9 4/5 - 1 2/3 please helpp

Answers

The answer is 8 2/15 yw :)

Answer:

[tex]8\frac{2}{15}[/tex]

Step-by-step explanation:

[tex]9\frac{4}{5} -1\frac{2}{3} \\\\\frac{49}{5} -\frac{5}{3} \\\\\frac{147}{15} -\frac{25}{15} \\\\\frac{122}{15} =8\frac{2}{15}[/tex]

Harry wants to download some songs to his mp3 player. He received a $20 giftcard for his birthday. It costs $0.90 to download a song. At most, how many songs can he download?

Answers

Step-by-step explanation:

vvvvvec7oecyoeciiiv7oric7oriivsbshshshshshshsJ

$20/$0.90=22.22
At most, Harry can download 22 songs.
22 • $0.90= $19.80

Find the distance between (5, 9) & (-7, -7). Round to the nearest tenth.

Answers

Answer:

20.0 units

Step-by-step explanation:

[tex]\boxed{distance = \sqrt{ {(y1 - y2)}^{2} + {(x1 - x2)}^{2} }}[/tex]

Distance between (5, 9) and (-7, -7)

[tex] = \sqrt{( - 7 - 9)^{2} + ( - 7 - 5)^{2} } [/tex]

[tex] = \sqrt{( - 16)^{2} + ( - 12)^{2} } [/tex]

[tex] = \sqrt{256 + 144} [/tex]

[tex] = \sqrt{400} [/tex]

= 20 units

can someone help me with these problems I don't get it very well​

Answers

this is my answer but you need to check with your teacher

Answer:

25 & 26Complementary angles sum to 90°

Angle:

90° - 47° = 43°

Find x

2x -3 = 432x = 46x = 2327 & 28Vertical angles are congruent

Angle

82°

Find y

5y + 12 = 825y = 70y = 1429 & 30Adjacent angles forming a straight line are supplementary and sum to 180°

Angle:

180° - 115° = 65°

Find n:

4n - 5 = 654n = 70n = 17.531 & 32

Angle addition postulate

∠XYZ = ∠XYW + ∠WYZ

Angle

m∠XYW = 110° - 72° = 38°

Find x:

3x + 2 = 383x = 36x = 1233 & 34Complementary and vertical angles (mentioned above)

Angle

90° - 35° = 55°

Find n:

5n = 55n = 11

Solve for X. Plz I can't figure it outtt!

Answers

9514 1404 393

Answer:

  x = 40

Step-by-step explanation:

The angle bisector divides corresponding sides proportionally.

  x/16 = 25/10

  x = 16(25/10) . . . . . multiply by 16

  x = 40

$750 at 6% for 3 years

Answers

Answer:

This is your answer ☺️☺️

2. Any number that can result from
multiplying our given number by any other
number is a
B. multiple
D. product
A. factor
C. LCM

Answers

Multiple im pretty sure- Well, a multiple is any number obtained by multiplying other numbers together. Multiples are most commonly discussed in the context of integers.

Please help me ASAP.

Answers

Answer:

D

Step-by-step explanation:

A bicycle ramp used for competitions is a

triangular prism. The volume of the ramp

is 313.2 cubic feet. Write and solve an

equation to find the width of the ramp.

Possible student work:

V=Bh

13.4ft

Answers

Answer:

8.7 feets

Step-by-step explanation:

As obtained frommthe diagram attached :

Base, b of triangle = 6 feets

Height of triangle, h = 12 feets

Volume of a Triangular Prism is obtained using the relation :

Base Area * Width

Base area of prism :

0.5 * base * height

0.5 * 6 * 12 = 36ft²

Width, w of the ramp =x

Volume, V = 313.2 ft³

V = base area * width

313.2 = 36 * x

313.2 = 36x

x = 313.2 / 36

x = 8.7 feets

A storage shed is a rectangular prism and has dimensions of 6 meters by 5 meters by 12 meters. If Jean were to double these dimensions, she believes she would only double the volume. Is she correct? Explain why or why not. Include a drawing in your explanation.

Answers

Answer:

Hence doubling the dimension gives a volume greater than doubling the original volume.

Step-by-step explanation:

Given The dimension :

Original dimension : 6 meters by 5 meters by 12 meters

Volume of original dimension :

6 * 5 * 12 = 360 m³

If dimension is doubled :

2 * 6 = 12

2 * 5 = 10

2 * 12 = 24

Volume = (12 * 10 * 24) = 2880 m³

2 * original volume = 2 * 360 = 720 m³

Hence doubling the dimension gives a volume greater than doubling the original volume.

What is the range of a function and how do you solve for it?

Answers

More generally, if we want to find the full range of y=x2+1, we can solve for x (taking the inverse of the function) to get x=√y−1. Then, the range of f(x) is simply the domain of √y−1, because these are all the values where there is some x-value with f(x)=y.

(Hope this helps!!!) Can I pls have a brainliest???

I need help with this question

b divided 2 = 4.4

Answers

Answer: B= 8.8

Step-by-step explanation:

B/2 = 4.4

B/2 (2) = 4.4 (2)

B = 8.8

What is 0.68 multiplied by 675?!!!?

Answers

Answer:

459

Step-by-step explanation:

Hope this helped!

A passenger train has tickets available for 12 window seats and 8 aisle seats. The next person to buy a ticket will be randomly assigned to one of
those seats. What is the probability that the next person will be assigned to an aisle
seat?

Answers

Answer:

2/5

Step-by-step explanation:

There is an 8/20 chance that the next person will receive a window seat. You simplify that probability to get your answer. 8/20 becomes 2/5. So the answer is 2/5.

Which is the value of x in the equation?
4(x−3)=40

A. 13
B. 14
C. 15
D. 16

Answers

Answer:

x=13

Step-by-step explanation:

4(x-3)=40

x-3=40/4

x-3=10

x=10+3

x=13

HOPE THIS HELPS YOU

4(x-3)=40
distribute 4, so 4x - 12 = 40
+ 12 +12
4x/4= 52/4

x=13

Anyone who helps me answer I’ll brainliest them :D

Answers

Answer:

5x -11

Step-by-step explanation:

it says it there

Answer:

a=5 c=3

Step-by-step explanation:

Pls help me with this text thing i need the answers :O PLS I NEED IT NOW HELP

Answers

Answer:

1. d.9

2.

3.

Step-by-step explanation:

that is the only one I know sorry

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!​

Answers

Answer:

[tex] \sqrt{193} [/tex]

Step-by-step explanation:

Given,

Height of the triangle = 7

Base of the triangle = 12

Hypotenuse of the triangle = x

Therefore, According to Pythagoras Theorem,

[tex] {(hypotenuse)}^{2} = {(base)}^{2} + {(height)}^{2} [/tex]

[tex] {x}^{2} = {12}^{2} + {7}^{2} [/tex]

[tex] = > {x}^{2} = 144 + 49[/tex]

[tex] = > {x}^{2} = 193[/tex]

[tex] = > x = \sqrt{193} (ans)[/tex]

"Please help!" Find the range of the data in the box plot below.

Answers

Answer:

12

Step-by-step explanation:

the range is the difference between the highest and lowest data value

the lowest data value is zero and the highest is twelve

PLS HELP ME I WILL GOVE YOU BRAINLIEST!

Answers

Answer:

15.7 ft

Step-by-step explanation:

You need to find the circumference.

C= 2πr

r= 2.5

C= 2π2.5

C= 15.7 ft

Rita drew a scale drawing of a picnic area near the river. The picnic area, which is 135 yards long in real life, is 15 inches long in the drawing. What scale did Rita use for the drawing?

Answers

Answer: 1 inch = 9 yards

Step-by-step explanation:

From the question, we are informed that Rita drew a scale drawing of a picnic area near the river and that the picnic area, which is 135 yards long in real life, is 15 inches long in the drawing.

From the above, we can see that for every 1 inch, there are (135/15) = 9 yards. Therefore, the scale used Is:

1 inch = 9 yards

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