Bob and Carl each rented the same kind of moving truck from EZ Move. There was a flat rental fee plus a charge per mile that the truck was driven. Bob's cost for his truck was $112.96 for 138 miles. Carl's cost for his truck was $142.78 for 209 miles. Which equation can be used to represent the cost of the rental truck? Round to the nearest hundredth if necessary. y = 71 x minus 29.82 y = 25 x minus 66 y = 0.42 x + 71 y = 0.42 x + 55

Answers

Answer 1

Answer:

D. y = 0.42x + 55

Step-by-step explanation:

Let the equation for the cost of the truck be represented by y = mx + b,

where y = cost of truck per mile, x = number of miles, m = charge of the truck per mile and b = rental fee.

We are given that,

Cost for Bob's truck ( y ) = $112.96 for x = 138 miles, and

Cost for Carl's truck ( y ) = $142.78 for x = 209 miles.

This gives us the equations,

142.78 = 209m + b

112.96 = 138m + b

Subtracting these equations, we get,

29.82 = 71m

i.e. m = 0.42

Substituting the value of ' m ' in first equation, we get,

142.78 = 209 × 0.42 + b

i.e. 142.78 = 87.78 + b

i.e. b = 55.

Hence, the equation for the cost of the truck is y = 0.42x + 55

Answer 2

Answer:

d.y = 0.42 x + 55

Step-by-step explanation:


Related Questions

HELP PLEASE

what is the slope of the function

Answers

Answer:

1/2 probably

Step-by-step explanation:

solve for the equation 6x+14=7x+8

Answers

Answer:

x = 6

Step-by-step explanation:

For this problem, we simply will isolate the x to find the value of x:

6x + 14 = 7x + 8

6x + -6x + 14 = 7x + -6x + 8

14 = x + 8

14 + -8 = x + 8 + -8

6 = x

Hence, x = 6.

Cheers.

Answer:

x=6

Step-by-step explanation:

First, subtract 6x from both sides to get:

14=x+8

Now, subtract 8 from both sides to get x alone:

6 = x

9x^2 - 16 = (px+t)(px-t) both p and t are constants. Which of the following could be the value of p

Answers

Answer:

p = 3

Step-by-step explanation:

9x² - 16 ← is a difference of squares and factors in general as

a² - b² = (a + b)(a - b)

Thus

9x² - 16

= (3x)² - 4²

= (3x + 4)(3x - 4)

Compare with (px + t)(px - t)

then p = 3


Can anyone help me with this? (I took a picture of it too)

11. STEM To convert a temperature in degrees Celsius to degrees
Fahrenheit, multiply the Celsius temperature by 9/5 and then add 32°. Is a
temperature in degrees Celsius proportional to its equivalent temperature in
degrees Fahrenheit?
Degrees Celsius
0
10
20
30
Degrees Fahrenheit
132

Answers

Answer:

  no

Step-by-step explanation:

Whenever a linear equation is something other than

  y = kx

the relation is not proportional.

__

Here, you have ...

  y = (9/5)x +32

The added constant ensures the relation is not proportional.

helppp fast!!!10 points!!

Answers

The answer is A.

I hope I am correct, if I am not I’m sorry since I am still a beginner.

one of the displays at a botanical garden is a koi pond with a walk away around it. The figure who’s the dimensions of the pond and the walkaway?
a) area of pond
b) area of walkaway

Answers

a) sorry if it’s wrong

Please help on number 9 and 10. Will mark brainliest.

Answers

Answer:

9. 1.24 mL

10. $5.93

Step-by-step explanation:

Question 9:

If the dosage of medicine is 0.01 mL per pound of weight of the patient, and the patient's weight is 124 pounds, we can set up an equation to solve for how much medicine the patient would need to take:

Dosage of medicine per pound of body weight x Total body weight = Total medicine required

                                                               OR

0.01 * w = m,

where w is total body weight and m is total medicine required.

To solve for the dosage the patient needs, just plug the numbers into the right places (124 for w and leave m as it is):

0.01 * 124 = m

1.24 = m

Therefore, a patient with a body weight of 124 pounds would need a 1.24 mL dosage.

Question 10:

To make the multiplication easier, we could rewrite 15% as 0.15 ( because 15% = 15/100):

0.15 * Total bill = Total tax payed for bill (Also can be written as [tex]\frac{15}{100} * 39.51[/tex])

                                 OR

0.15*39.51 = Total tax

5.9265 = Total tax

5.93 = Total tax <-------- (rounded)

Aliaa uses deductive reasoning to identify the number angles that fit inside a circle based on her knowledge that obtuse angles have measures greater than  and that there are  at the center of the circle. Aliaa wants to partition the circle in 3 congruent angles, what is the angle measurement that best fits Aliaa's circle partition?

Answers

Answer:

The best angle measurement that best fits Aliaa's circle partition is three angles of 120° each.

Step-by-step explanation:

The sum of angles at the center of the circle = The sum of angles at a point = 360°

Therefore, to partition the circle into three congruent angles, the measurement of each of the partition should be 360°/3 = 120°

The steps to partition a circle into three are;

1) Draw the diameter of the circle, to intersect the circumference of the circle at points A and B

2) Mark a point, C, at a distance of half the radius from the center of the circle,  O, to the point, B, on the circumference, using a straight edge

3) Draw a perpendicular line to the diameter of the circle, through the point, C, to intersect the circle circumference at points D and E)

4) Draw radial lines from the circle center, O, to the points D and E

5) The segments OA, OB, and OE, are segment lines partitioning the segment into three congruent angles.

A number múltiple by 0.5 is 12.25. Find the number.

Answers

Answer:

24.5

Step-by-step explanation:

n0.5=12.25

n/0.5=12.25/0.5

n=24.5

Tell me the linear equation for point-slope form?

Answers

Point-slope is the general form y-y₁=m(x-x₁) for linear equations. It emphasizes the slope of the line and a point on the line (that is not the y-intercept)

I'll give the person that can help me 30 points The y intercept of the graph could only be:

Answers

Answer:

The y- intercept could only be: B) (0, -3).

Step-by-step explanation:

The Y intercept is found when X=0, so the first value in the ordered pair must be 0. Because the line crosses the y axis BELOW the x axis, the value must be negative. Therefore, out of all the provided options, the answer could only be (0,-3).


Write this series in sigma notation: 5+9+13+17+21+ 25 + 29+ 33.

Answers

Answer:

5+9+13+17+21+25+29+33= 152

Answer:

5+9+13+17+21+25+29+33=148

can someone pleaseee help me with explaination

2-3a / 4 >5

THE DASH IS FOR DIVISION SO 2- 3a OVER 4

Answers

Answer:

a < -4

I apologise if it is wrong.

3(1 + 7r) + 7r <— please help! :)

Answers

Answer: 28r+3

Step-by-step explanation:

3(1+7r)+7r

distributive property

3+21r+7r

combine like terms

28r+3

Answer:

4r/7 is the answer 4r over 7

means to find the only possible answer.

Answers

The answer is determine

Suppose that J and K are points on the number line.
If JK = 10 and J lies at -17, where could K be located?
If there is more than one location, separate them with commas.

Answers

Answer:

-7, -27

Step-by-step explanation:

J is at -17. K is 10 units from J.

Start at point J, -17:

a) If you go 10 units to the right, you end up at -17 + 10 = -7

b) If you go 10 units to the left, you end up at -17 - 10 = -27

J can be at -7 or at -27

Answer: -7, -27

Rey baked 144 desserts in 6 1/4 months. Find reys dessert making rate in desserts per month.

Answers

Answer:

23 1/25 desserts per month

Which equation represents the data: m = -3, b = 5
O y = -3x + 5
O y = x
Oy= 5x - 3
Zero

Answers

Answer:

y=-3x+5

Step-by-step explanation:

In the form of y=mx+b

GEOMETRY HELP!!
Find the midpoint of AB

It’s Q right?

Answers

Yes the answer is Q.

Answer:yes it’s q

Step-by-step explanation:

Find two consecutive odd integers such that seven times the first equals five times the second.

Answers

Answer:

Odd integers are always one more that an even integer:

1st: 2n+1

2nd: 2n+3

Step-by-step explanation:

14n+7 = 10n+15

4n = 8

n = 2

------------

1st: 2n+1 = 5

2nd: 2n+3 = 7

7x=5*(x+2)

7x=5x+10

7x-5x=10

2x=10

x=5

5 and 7 are the two consecutive odd integers such that seven times the first equals five times the second.

What are Integers?

Integers are the numbers consisting of whole numbers and the negatives of natural numbers.

Let 2n + 1 and 2n + 3 be the two consecutive odd integers.

We have the relation seven times the first integer equals five times the second.

7 (2n + 1) = 5 (2n + 3)

By distributive property,

(7 × 2n)  + (7 × 1) = (5 × 2n) + (5 × 3)

14n + 7 = 10n + 15

Taking the terms containing unknowns on one side and constants on other side,

14n - 10n = 15 - 7

4n = 8

n = 8 / 4

n = 2

So the first number = 2n + 1 = (2 × 2) + 1 = 5

and the second number = 2n + 3 = (2 × 2) + 3 = 7

Hence the two consecutive odd integers such that seven times the first equals five times the second is 5 and 7.

To learn more about Integers, click :

https://brainly.com/question/15276410

#SPJ2

3
— of -60 please help me!
4

Answers

Answer:

-45

Step-by-step explanation:

The distance between the paralled lines 3x + 4y +15 = 0 and 3x + 4y -10 = 0 is equal to: pls help ASAP

Answers

Answer:

5 units

Step-by-step explanation:

Please see attached pictures for the full solution.

(This distance is the perpendicular distance between the 2 parallel lines, which is the shortest distance between them.)

Answer:

D 21/5

Step-by-step explanation:

edge

8.3 + x= 12.1
I will love you if you can help me!​

Answers

Answer: x= 3.8

Step-by-step explanation:

21.1 - 8.3 = 3.8

x= 3.8

Answer:

X = 3.8

Explanation: 12.1 minus 8.3 equals the missing value

How is the graph of y = (x + 1)^2- 5 transformed from the graph of y=x^2?

Answers

[tex]\text{Hi there! :D}[/tex]

[tex]\boxed{\text{There is a horizontal shift of 1 unit left and 5 units down.}}[/tex]

[tex]\text{Recall that the transformations form of a quadratic function is:}\\\\y = \pm a(b(x-h))+k \text{ where:}\\\\a = \text{ vertical stretch/compression}\\\\b = \text{ horizontal stretch/compression}\\\\h = \text{ shift left/right}\\\\k = \text{ shift up/down}\\\\\text{Therefore, in this instance:}\\\\h = -1\\\\k = -5, \text{ so:}\\\\\text{There is a horizontal shift of 1 unit left and 5 units down.}[/tex]

Which letter represents the first number in an ordered pair?

Answers

Step-by-step explanation:

Example: (5,2)

On a graph, the 5 goes on the x-axis and the 2 goes on the y-axis.

Also, in the world of variables, and the alphabet, x is before y.

So x represents the first number in an ordered pair.

hope it helps!

540 repeated is equal to x/37
Is this true?

Answers

Answer:

The answer is x= 19980

Step-by-step explanation:

You do 540 = x/37 ---> then divide by 1/37 on each side and you get --> 19980 = x ---> you can plug it back in and get the right answer. 540 = 19980/37 = --------> 540=540

9. Whats is the equivalent fraction for 0.625

Answers

Answer:

5/8

Step-by-step explanation:

You need to convert to a simplified fraction by placing the numbers to the right of the decimal over 1000. Then reduce the fraction.

The answer would be 5/8

Is 1/2 an irrational number?

Answers

Answer:

Yes, 1/2 is a irrational number

Step-by-step explanation:

This is the answer because (Google research):

A number is rational if we can write it as a fraction where the numerator and denominator are both integers. However, numbers like 1/2, 46485928/2628242, and -3/7 are also rational, since they are fractions whose numerator and denominator are integers.

Hope this helps!

What is the value of √23

Answers

Answer:

Step-by-step explanation:

If you looking for square and square root:

Square: 529

Square root: 4.796 and the longer one,4.79583152331

Examine the diagrams below. What is the angle pair
relationship between the labeled angles? Use the
relationship to write an equation and solve for x. Then
confirm your answer by calculating the angle measures
of the labeled angles. Show your work in the text box.

a.
3x + 5°
5x - 57°

Answers

Answer:

b

Step-by-step explanation:

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