A local print shop has a big order of pamphlets to print, so they decide to use two of their printers for the one job. The newest printer can print the pamphlets four times as fast as the old printer Working together the printers can complete the job in 4 hours. How many hours would it take cach printer to print all of the pamphlets by itself a . Use the table to set up a rational equation to describe the situation. Use the variable x to represent the time it takes the newest printer to complete the job .

Answers

Answer 1

If both printers work together. Then the number of the pamphlets will be 20x in four hours.

What is Algebra?

Algebra is the study of mathematical symbols, and the rule is the manipulation of those symbols.

A local print shop has a big order of pamphlets to print, so they decide to use two of their printers for the one job.

The newest printer can print the pamphlets four times as fast as the old printer Working together the printers can complete the job in 4 hours.

Let x be the number of the pamphlets are printed by the old printer in one hour.

Then the number of the pamphlets are printed by the new printer in one hour will be 4x.

Then if they work together, then the  number of the pamphlets in one hour will be 5x.

Then the number of the pamphlets in 4 hour will be

→ 5x × 4

→ 20x

More about the Algebra link is given below.

https://brainly.com/question/953809

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Related Questions

The gravitational force ona abody falling towards the earthb is directly proportional to the mass of the body the gravitiaional force on the body js 2 kg is 19.6 newtons

A. Write a direct variation equation relating the mass x and the gravitational force y on the falling body


B. Using your equation from 4.a find the gravitaional force of an object with the mass of 5kg

Don't RIP OFF OR I WILL REPORT

Answers

Answer:

A. y = 9.8xB. 49 Newtons

Step-by-step explanation:

Direct proportional relationship formula

y = kx, where y- dependent variable, x- independent variable, k- coefficient of proportionality

Given values

x = 2 kgy = 19.6 N

Find the value of k using the formula

19.6 = 2kk = 19.6/2k = 9.8

Part A

The equation for this case is

y = 9.8x

Part B

Find the value of y when x = 5

y = 9.8*5 = 49 N

Answer:

A.  y = 9.8x

B.  49 newtons

Step-by-step explanation:

Part A

Definition of the given variables:

x = mass in kgy = gravitational force in newtons

If the gravitational force is directly proportional to the mass, then:

   [tex]y \propto x \implies y=kx \quad \textsf{(for some constant k)}[/tex]

Given:

x = 2 kgy = 19.6 newtons

Substitute the given values into the equation and solve for k:

[tex]\implies 19.6=2k[/tex]

[tex]\implies k = 9.8[/tex]

Therefore, the direct variation equation is:  [tex]y=9.8x[/tex]

Part B

To find the gravitational force of an object with mass of 5 kg, substitute x = 5 into the found equation from part A and solve for y:

[tex]\implies y=9.8(5)[/tex]

[tex]\implies y=49\:\: \sf newtons[/tex]

What is the end behavior of the graph?

Answers

Answer:

As [tex]x[/tex] approaches infinity [tex]f(x)[/tex] approaches negative infinity.

Step-by-step explanation:

As you can see in the graph as [tex]x[/tex] grows larger in the negative direction, the [tex]y[/tex] increases in the negative direction too.

Thus:

[tex]\lim_{x \to -\infty} f(x) = -\infty[/tex]

Diane Van Os decided to buy a new car since her credit union was offering such low interest rates. She borrowed 30,000 at 4.75% on December 12 2016 and paid it off March 04 2018. How much did she pay in interest? (Assume exact interest)

Answers

Answer:

Total Interest Diane has to pay is $1,745

Step-by-step explanation:

Behind the Excel sheet

Total Number of Days:

It was the sum 2016 + 2017 + 3 months of 2018

                             19 + 365   + 31 + 28 + 4

Exact Intrest on Loan

the Borrowed Amount is multiplied by Exact Intrest Rate multiplied by Total Number of Days divided by Number of Days in a Year

$30,000 x 0.0475 x (447/365)

A major fishing company does its fishing in a local lake. The first year of the company's operations it managed to catch 154,000 fish. Due to population decreases, the number of fish the company was able to catch decreased by 5% each year. How many total fish did the company catch over the first 10 years, to the nearest whole number?

Answers

Answer:

1,116,500 Fish

Step-by-step explanation:

Pls give BRAINLIEST

The chart below shows the average cost that each gender spends on their senior prom at the local high school.

Answers

Answer:

Let me know if anything is unreadable !

HELP NEEDED QUICK PLEASE

Answers

Answer:

49 degrees

Step-by-step explanation:

its the answer, trust


[4.8] 1 can find the area of a sector.

Answers

given:

radius= 12 cm

to find:

circumference and area of the circle.

solution:circumference:

[tex]c = 2\pi \: r[/tex]

[tex]c = 2 \times \pi \times 12[/tex]

[tex]c = 75.39822 \: cm[/tex]

[tex]c = 75.4 \: cm[/tex]

area:

[tex]a = \pi {r}^{2} [/tex]

[tex]a = \pi \times {12}^{2} [/tex]

[tex]a = 452.38934 \: {cm}^{2} [/tex]

[tex]a = 452.39 \: {cm}^{2} [/tex]

Mei Mei invested $1700 in an account that pays 3% interest compounded annually.
Assuming no deposits or withdrawals are made, find how much money Mei Mei
would have in the account 16 years after her initial investment. Round to the nearest
tenth (if necessary).

Answers

Answer:

$2728

Step-by-step explanation:

Use compound interest formula:

[tex]A = P(1 + \frac{r}{n})^{nt}[/tex]

P = 1700, r = 0.03, n = 1, t = 16

Plug in numbers:

[tex]A = 1700(1 + \frac{0.03}{1})^{(1)(16)}[/tex]

Simplify:

[tex]A = 1700(1.3)^{16[/tex]

Use calculator:

[tex]A = 2728[/tex]

The students in Class A and Class B were asked how many pets they each have. The dot plots below show the results.

Students in Class A
A dot plot titled Students in Class A. A number line going from 0 to 5 labeled Number of pets. There are 5 dots above 0, 5 above 1, 4 above 2, 1 above 3, and 0 above 4 and 5.

Students in Class B
A dot plot titled Students in Class B. A number line going from 0 to 5 labeled Number of pets. There is 1 dot above 0, 2 above 1, 2 above 2, 4 above 3, 3 above 4, 3 above 5.

What is the difference between the ranges in the dot plots?
0
2
3
4

Answers

Answer:

The answer is 2

Step-by-step explanation:

the answer is 2

Answer is 2 . Hopes this help have a good day

Please help fast! 100 POINTS

Answers

Answer:

65

Step-by-step explanation:

Answer: the answer is 41

Step-by-step explanation: 4+2+3+3+6+2+5+3+6+7=41

What is the coefficient of x in 2x+3?

Please answer?

Answers

Answer:

coefficient of x is 2

Step-by-step explanation:

genshin impact is the bestt

Answer:

2

Step-by-step explanation:

2x together is the variable term the x is the variable number and the number beside it is the coefficient and the other number is the constant

Which of the following statements about the expected value of a random experiment is true? A. The expected value is the value you will get after one trial. B. The expected value is the average of the values after 100 trials. C. As the number of trials gets larger, the average of the trials approaches the expected value. D. The expected value never actually equals the average of the trials. Please select the best answer from the choices provided A B C D

Answers

Answer: C. As the number of trials gets larger, the average of the trials approaches the expected value

Step-by-step explanation:

The expected value is the weighted average of the results of an experiment. As more trials go on, the actual average is more likely to get closer to the expected value. The expected value can be explained as the theoretical result after infinity trials, so as the number of trials approaches infinity, the result will approach the expected value.

Determine if (6, 2) is a solution to the system of equations.
2x + y = 10
3x + 2y = 10

Answers

Answer:

no

Step-by-step explanation:

plug 6 in for x and 2 in for y, as (x, y) = (6, 2)

first equation:

y = 1 * y

2(6) + 1(2) = 10

12 + 2 = 10

14 = 10

this is false

second equation:

3(6) + 2(2) = 10

18 + 4 = 10

22 = 10

this is false

for this to be a solution, it must fit into both equations. as this fits into neither, this is not a solution

Use the coordinate plane to write the ordered pair corresponding to point M. Six points are plotted on a coordinate plane. The horizontal axis is labeled x and it ranges from 0 to 8. The vertical axis is labeled y and it ranges from 0 to 8. Point T is plotted 5 units up from the origin. Point R is plotted 2 units to the right of the origin. Point Q is plotted 2 units to the right of the origin and 7 units up. Point P is plotted 6 units to the right of the origin and 1 unit up. Point N is plotted 7 units to the right of the origin and 6 units up. Point M is plotted 8 units to the right of the origin and 8 units up.

Answers

Answer:

where's the images and what are the coordinates?

Step-by-step explanation:

Mitchell received a stipend at the beginning of the semester to buy textbooks. During the semester, he spent $430.84 on textbooks. He had $136.04 of the stipend left at the end of the semester.

x - $430.84 = $136.04

How much was Mitchell's stipend?
A.
$566.88
B.
$702.92
C.
$362.82
D.
$294.80

Answers

Answer:

$566.88

Step-by-step explanation:

$430.84 + $136.04 = $566.88

Answer:

294.80

Step-by-step explanation:

D

What is the perimeter of polygon ABCD?



OA. 28 units
OB. 32 units
OC. 36 units
OD. 44 units

Answers

See attached screenshot

:)

can anyone help find the area pls ty

Answers

Answer:

See below ~

Step-by-step explanation:

Question #8

Area = 10 x 11.7Area = 117 m²

Question #10

Area = 11 x 11Area = 121 m²

A circle with a centre 0, has an equation x2 + y2 = 25
The coordinate A (4,3) is on the circumference of the circle.
Find the equation of the tangent at point A.

Answers

The linear equation of the tangent at point A is given by:

[tex]y = \frac{-4x + 25}{3}[/tex]

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

In this problem, to find the slope, we need to find the derivative at (4,3), using implicit differentiation. Hence:

[tex]2x\frac{dx}{dx} + 2y\frac{dy}{dx} = 0[/tex]

[tex]\frac{dy}{dx} = -\frac{x}{y}[/tex]

[tex]\frac{dy}{dx} = -\frac{4}{3}[/tex]

Then:

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

We use point (4,3) to find b, hence:

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

[tex]3 = -\frac{16}{3} + b[/tex]

[tex]b = \frac{25}{3}[/tex]

Hence, the equation is:

[tex]y = \frac{-4x + 25}{3}[/tex]

More can be learned about linear equations at https://brainly.com/question/24808124

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Evaluate the expression below x=5. 3x+2•|x-8|-12

Answers

Answer:

39

Step-by-step explanation:

3*5=15

15+2=17

|x-8|=3

3*17=51

51-12=39

North Dakota has recently had the fastest growing population out of all 50 states. On Jan 1, 2013, the
population of North Dakota was 700,000 people. North Dakota's population has been growing by 5%
per year. Express North Dakota's population, N, in terms of years since 2013, t

Answers

Answer:

see below

Step-by-step explanation:

5% = .05

N = 700 000 (1+.05)^t

help me pleaseeeeeeeeeeeeeeeeeeee

Answers

Since the figure is a triangle, we must use the triangle area formula to solve the problem, which is [tex]A = \frac{1}{2} b h[/tex]. By using this formula, we can plug in the numbers shown. Then, we can multiply.

[tex]A = \frac{1}{2} * 5 *22[/tex]

[tex]A = \frac{1}{2} * 110[/tex]

[tex]A = 55^2[/tex]


The area of the triangle is 55 yards squared.

Find the indicated sum or difference 9-12:
9. 5+7
10. 7+(-9)
11. -5+20
12. -(-11)-7

Answers

Answer:

7,-2,15,4

Step-by-step explanation:

9. 7

10. -2

11. 15

12. 4

I need answer bahahhsbshana

Answers

Answer:

answer is abraham lincoln

Step-by-step explanation:

-2x - 3y = -7
y = 6x - 11
O (4,3)
• (2,1)
O (1,2)
O (2,3

Answers

Answer:

[tex]B.(2,1)[/tex]

Step-by-step explanation:

A sporting goods store wants to know what products their customers most want. There were four different suggestions about how to survey the customers.

Which method of sampling customers is least biased?

A Survey every other adult who brings children along to shop.

B Survey only customers who enter the store's shoe section.

C Survey every person who enters the sporting goods store between 10:00 and 11:30 AM.

D Survey every 10th person or group who enters the sporting goods store throughout the entire day.

Answers

Answer:

I believe the answer is C

Step-by-step explanation:

if its wrong, im sorry an I will delete the answer

There is a “family” of Z distributions?

Answers

Answer:  False

Reason:

There is only one Z distribution, which is also known as the standard normal distribution. This distribution has a mean of mu = 0 and a standard deviation of sigma = 1. So unless you consider a family to only have one member, then I'd consider the statement your teacher gave you to be false.

On the other hand, if we were talking about the student T distribution, then this is a family of function curves. The reason being is that the degrees of freedom (df) will change the shape of said curve. The value of df will depend on the sample size n. Recall that df = n-1. As n gets larger, then the T distribution curves will slowly start to look like the Z distribution. For n > 30, the difference is so very minor that it's easier to swap over to the Z distribution even if you don't know sigma.

In other words, there is a family of T distribution curves in which slowly approach to mimicking the Z distribution curve when n is large (usually n > 30).

Simplify the expression given below.x+2/x^3+2x^2-9x-18/3x+1/x^2-9

Answers

Answer:

2x^5 - 14x^4 - 9x^3 + X + 2

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

                 x^3

Step-by-step explanation:

アhi can you please help me​

Answers

Answer:

C) 1.

Step-by-step explanation:

Calculator

Find the distance between the points (6, -4) and (-7, -4)

Answers

Answer:

8

Step-by-step explanation:

Subtract 6 to 7 then add that to the 7.

ASA and AAS Congruence
State if two triangles are congruent. If they are, state how you know.

Answers

Answer:

NO

Step-by-step explanation:

They are not bc they are rotated and theyfore not the same exatly. The are similar NOT congruent.

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