It cost a bicycle company $8750 to make 50 bikes in its first month of operation and $14925 to make 115 bikes during its second month. Find a linear equation to express the company’s monthly production cost, y, in terms of the number, x of bikes it makes. y=?

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]y=mx+b\\ \\ m=\frac{14925-8750}{115-50}=95\\ \\ y=95x+b,\ (50,8750)\\ \\ 8750=95(50)+b\\ \\ 8750=4750+b,\ b=4000\\ \\ y=95x+4000[/tex]


Related Questions

What is the average rate of change in temperature from February to May?

Answers

Answer:

27 degrees

Step-by-step explanation:

A line is represented by the equation y = 3x – 7. Which statement about the line is TRUE?

A.
This line is parallel to the line whose equation is y = 2x – 7.

B.
The line has a positive slope.

C.
The y-intercept is 7.

D.
The point (1, 4) lies on the line.

Answers

Step-by-step explanation:

alignment in represented by erosion by which a statement both lights it's true that this line is a parallel that two parallel whose the equation is do you audio will be that a googlmy answer if two line was station then represented by equation allowed is a representation equation the by represented is a

Dave divided 3/5 of a gallon of plant fertilizer evenly among 6 smaller bottles. How many gallons did he put in each bottle?

Whoever answers first gets brainliest please help

Answers

Answer:

Brothers Sorry I don't

Step-by-step explanation:

Please give thanks to all my answers and please mark as brilliant and please follow me

If you answer these questions i will give you free point's. (Answer all of them pls)


1. I am 50% of a quarter of 32.
2. I am two thirds of 60.
3. I am exactly half-way between 25% of 80 cm and 40% of 120cm.
4. I am one-quarter of 50% of 88kg.
5. I am 3% of half of 600 pounds.
6. I am exactly halfway between one fifth of 25cm and 2% of 300 cm.
7. I am greater that 0.6 kg, less than one-third of 6 kg, and equal to four times 10% of 3kg.

Answers

Answer:

1. 4

2.40

3. 28

4.11

5.12

6. 1

7. 1200

Step-by-step explanation:

I used • instead of x to show you multiply.

1. 1/4 (one quarter) of 32 = 8.
50% of 8 = 4

2. 2/3• 60 = 120/3 = 40

3. 25% = 0.25, 40% = 0.40
So 0.25 • 80= 20
0.40 • 120 = 48
Then subtract: 48-20 = 28. Half of 28 is 14. Add that 14 to 20, and your answer is 34. It will probably be helpful to either write that on a number line, or picture it on a number line.

4. 50% of 88kg is half of that, which is 44. One quarter = 1/4, so 44/4 = 11

5. Half of 600 pounds is 300 pounds. 3% = 3/100 = 0.03. Multiply that by 300 to get your answer. 300 • 0.03 = 9

6. 1/5 of 25cm = 25/5= 5
2% of 300 = 300• 0.02= 6
What is exactly halfway between 5 and 6? 5.5

7. Start this one with the last statement. 10% (0.10) of 3kg = 3•0.10= 0.3. Four times that = 4•0.3= 1.2

Then check: is that greater than 0.6? Yes.

One third of 6kg = 6/3= 2

Is 1.2 less than 2? Yes.

jackie bought 15 cookies for $3 . How much will she have to pay for 35?

Answers

Step-by-step explanation:

15=3

35=x

15x=3×35

x= 3×35÷15

x=105÷15

x=7

v= u + at, find v, when u = 12, a = 5 and t = 7

Answers

Answer:

V=47

Step-by-step explanation:

12+5x7

12+35

47

Answer:

Final velocity (v) = 47 m/s

Step-by-step explanation:

u = 12

a = 5

t = 7

v = ?

v = u + at (first law of motion)

v = 12 + (5 × 7)

v = 12 + 35

v = 47 m/s.

Solve the inequality 2n – 1 < 39​

Answers

Answer:

n < 20​

Step-by-step explanation:

2n – 1 < 39​

Add 1 to each side

2n – 1+1 < 39+1

2n < 40

Divide each side by 2

2n/2 < 40/2

n < 20​

While rolling, a wheel with a diameter of 13/2m makes 196 revolutions. Find the distance that is traveled by the wheel. Use for 22/7 for pi​

Answers

Answer:

9.6 m

Step-by-step explanation:

let 'x' be distance traveled

196 = 3.14(6.5)x

196 = 20.41x

x = 196/20.41

x = 9.6

1. Find the permeter of the triangle
(6x + 2) cm
(x- 4)cm
(3x + 1) cm​

Answers

The perimeter of the triangle is 10x-1 cm.

Explanation:

Perimeter of the triangle:
(6x+2) + (x-4) + (3x+1)

= 6x + 2 + x - 4 + 3x + 1

= 10x - 1

What is 5/6 plus 7/8?

Answers

Answer:

1  17/24

Step-by-step explanation:

Answer:

41/24 or 1 17/24

Step-by-step explanation:

13 percent of a certain company's life insurance policy holders are smokers. For each nonsmoker the probability of dying during the year is 0.002. For each smoker the probability of dying during the year is 0.02. Find the probability that a policy holder who died last year was a smoker.

Answers

Answer:

.6

Step-by-step explanation:

Using Bayes' theorem

While s = smoker

n = nonsmoker

D = died

P(s) = .13

P(n) =.87

P(D/s) =0.02

P(D/n) =0.002

P(s/D) = ??

[tex]P(s/D)=\frac{P(s)*P(D/s)}{P(s)*P(D/s)+P(n) *P(D/n)} =\frac{.13*.02}{.13*.02+.87*.002}=.6[/tex]

Which graph represents the inequality ?

Answers

Answer:

if there is a pic i need to to help so since there is no pic i can not help

Step-by-step explanation:

Perform the operation.
(6x2 – 5x) – (10x² + 8x – 8)
HELP ASAP PLS

Answers

-4x^2-13x+8. It says negative four x squared just in case you didn’t know. I hope it’s right

On a map, Breanne measured the distance (as the crow flies) between Los Angeles, California and San
Francisco, California at 2 inches. The scale on the map is 1/4 inch = 43 miles. What is the actual
straight-line distance between Los Angeles and San Francisco?

Answers

the straight line distance is 344

#5:20 < 6+(-7x)
HINT! What is an equivalent way to write 6+ (-7x)?
What letter from the chart above matches the
solution to this inequality? Type your answer as a
CAPITAL letter.

Answers

Answer:

the answer i got was x<-2

Step-by-step explanation:

Plz help! I don’t know how to do these!

Answers

Step-by-step explanation: x = 120 x= 65x= 24

4. x= 40

plz mark my answer as brainlist plzzzz.

hope this will be helpful to you .

☺️

MATH HOMEWORK WHO CAN ANSWER

Answers

Answer:

its the 3 one

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

A. [tex] \angle 4 \: and \angle 6[/tex] - - - (same side interior angles)

B. [tex] \angle 5 \: and \angle 8[/tex] - - - (vertical angles)

C. [tex] \angle 2 \: and \angle 6[/tex] - - - (corresponding angles)

D. [tex] \angle 4 \: and \angle 5[/tex] - - - (alternate interior angles)

M(4, 2) is the midpoint of RS. The coordinate of S are (6, 1). What are the coordinates of R?

Answers

Answer:

Step-by-step explanation:

Compare coordinates of S and M

difference in x-coordinates = 4-6 = -2

difference in y-coordinates = 2-1 = 1

x-coordinate of R = x-coordinate of M - 2 = 4-2 = 2

y-coordinate of R = y-coordinate of M + 1 = 3

R(2,3)

5. A baker had 2 pans of corn bread. He served 1 1/4 pans. What fraction of a pan was left?

Answers

Answer:

3/4

Step-by-step explanation:

2- 1 1/4= 3/4

Answer:

3/4

Step-by-step explanation:

Choose the symbol that goes in the blank to make the statement true.
96,000 _ 128,000 = < >

Answers

Answer:

<

Step-by-step explanation:

hhahaha

n(U) = 147, n(A) = 48, n(B) = 68, n(A ∩ B) = 19, n(A ∩ C) = 22, n(A ∩ B ∩ C) = 10, n(A' ∩ B ∩ C') = 39, and n(A' ∩ B' ∩ C') = 36.
Find n(C).
A) 26
B) 14
C) 30
D) 46

Answers

Answer:  D) 46

===========================================================

Explanation:

We have these 8 given facts

N(U) = 147n(A) = 48n(B) = 68n(A ∩ B) = 19n(A ∩ C) = 22n(A ∩ B ∩ C) = 10n(A' ∩ B ∩ C') = 39n(A' ∩ B' ∩ C') = 36

Draw out a rectangle to represent the universal set U. Inside this rectangle, draw three overlapping circles. Refer to the diagram below (imagine that none of the values have been written down just yet). These circles are A, B, and C.

Now we'll focus on the 8 facts above. To start off, we'll look at fact 6 which says n(A ∩ B ∩ C) = 10. This means there are 10 items inside all three sets. This is the middle most region where all three circles overlap with one another.

Then move to fact 4 and we see that 19 items are in sets A and B at the same time. Subtract off those 10 items in all three sets and we have 19-10 = 9 items in set A and B, but not set C. We can write this as n(A ∩ B ∩ C') = 9 if you wanted to stay consistent with this math notation. Write "9" in the overlapped region between A and B, but not inside circle C.

Now go to fact 5. We have n(A ∩ C) = 22 telling us there are 22 items in both sets A and C at the same time. Subtract off the 10 in all three sets and we're left with 22-10 = 12 items in set A and set C, but not set B. We can write this as n(A ∩ B' ∩ C) = 12. Write "12" in the region between A and C, but outside of circle B.

If you're stuck anywhere, refer to the diagram below. Imagine that not all of the values have been filled in just yet.

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

So far you should have the numbers 10, 9 and 12 written in those positions I mentioned. Circle A is mostly filled out. We're missing the region that's inside A but outside both B and C; however, we can find that to be 17. Why is this? Well because n(A) = 48 and the other values (10, 9 and 12) add to 10+9+12 = 31. Then note how 31+17 = 48. So we must have 17 items in circle A but outside the other circles. We can write this as n(A ∩ B' ∩ C') = 17

In short, all of the values in circle A must add to 48. We have 17+10+9+12 = 48.

From fact 7, we can see that n(A' ∩ B ∩ C') = 39 meaning there are 39 items in circle B and not in any other circle. So we'll fill this value in as well.

The last value to fill in is the 36 from fact 8. This goes outside all of the circles.

The venn diagram below shows all of these values filled in that I mentioned so far. The missing two blank regions in circle C can be thought of as one region for the sake of simplicity.

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

Using that diagram of filled in values, add up every number written down:

17+9+39+12+10+36 = 123

We have 123 items so far in the universal set

We're told that n(U) = 147, meaning there are 147 items total in the universal set.

This must mean that 147-123 = 24 items are in the two blank regions of circle C. We don't need to break down how the 24 splits up.

That 24 adds to the other numbers inside circle C to get to the final answer

12+10+24 = 46

Choice D is the answer.

Side note: you could use n(B) = 68 to help break down those two blank regions of circle C, but that's just unnecessary extra work.

this year cornells class took one more than 3 times as many field trips as last years class this year cornells class took a total of 7 trips how many trips did his class take last year ​

Answers

Answer:

ten may be if it is incorrect forgive me

a total of 40 percent of the voters in a city classify themselves as independents, whereas 35 percent classify themselves as liberals, and 25 percent as conservatives. in a recent election, 40 percent of the independents, 75 percent of the liberals, and 65 percent of the conservatives voted. given that a person voted in the election, what is the probability that the person is an independent

Answers

Answer:

Probability = 0.088 ie 8.8%

Step-by-step explanation:

P (I) = 40% = 0.4

P (L) = 35% = 0.35

P (C) = 25% = 0.25

P (EV / I) = 40% = 0.4

P (EV / L) = 75% = 0.75

P (EV / C) = 65% = 0.65

P (I / EV) = [ P (EV / I) . P (I) ] / [ P ( EV) ]

[ P (EV / I) . P (I) ] / [ P (EV / I) + P (EV / L) + P (C / L)

[(0.4) (0.4)]  / [ 0.4 + 0.75 + 0.65 ]

0.16 / 1.8

= 0.088 ie 8.8%

Jyoti is four times older than her daughter after 5 years Jyoti age will be three times of the age of her daughter find their present ages.​

Answers

Answer:

possible answer: 44- parent/ 14 yrs old daughter.

Sorry if i'm wrong

Step-by-step explanation:

At lunch time, Benjamin often borrows money from his friends to buy snacks in the school cafeteria. Benjamin borrowed $0.75 from his friend Clyde five days last week to buy chips. Represent the amount Benjamin borrowed as the product of two rational numbers; then, determine how much Benjamin owed his friend last week.

Answers

Answer:

3.75

Step-by-step explanation:

What would be the y- intercept for the function y=3x-6?

Answers

Answer:

the y intercept would be at (0,-6)

what is the derivative of 5(x+2)​

Answers

Answer:

5

Step-by-step explanation:

d(5(x+2))/dx

d(5x+10)/dx

d(5x)/dx + d(10)/dx

5+0

5

Liam had63 markers, Alex has 49 markers, and Oliva has 77 markers use the GCF and

Answers

Answer:

and.....? look im only answering for the points m'lady. all i know is that olivia has, alex has, and liam HAD.

Step-by-step explanation:

Answer:

Step-by-step explanation:

63 = 3 * 3 * 7

49 = 7 * 7

77 = 7 * 11

So the GCF = 7.

LCM = 7 * 7 * 3 * 3 * 11 = 4851.

Write the equation of the line graphed below in slope-intercept form (y=mx+b)?​

Answers

y = -1/2x - 1

Tell me if you need explanation

Solve the parallelogram for x MARKINF people as brainlist

Answers

Answer:

in the question there must be the area of the parallelogram given...

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