If the Mega-Print 3000 printer can print a large document in one fourth the time of the Super-Print 1000 printer, and the printers working together can print the document in 6 hours, how long would it take the slower printer alone to print the document?

Answers

Answer 1
Answer:  30 hours

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

Explanation:

Ignore the values 3000 and 1000 as they are simply labels for the printer names (or brand models). I'll call the two printers A and B for simplicity.

Printer A can produce a large document in 1/4th the time printer B can do the same job. So we can say x = (1/4)y where x and y are the times it takes for both printers to do the job if they work alone. Solving for y gets us y = 4x.

Printer A can do the full job, on its own, taking x hours. It's rate is 1/x jobs per hour. Printer B's rate is 1/y = 1/(4x) jobs per hour for similar reasons.

Their combined rate is

1/x + 1/(4x) = 4/(4x) + 1/(4x) = 5/(4x)

Set this equal to 1/6 and solve for x. The 1/6 represents the combined rate based on how they can work together to get the job done in 6 hours.

-----------

5/(4x) = 1/6

5*6 = 4x*1 .... cross multiply

30 = 4x

4x = 30

x = 30/4 ... divide both sides by 4

x = 7.5

Printer A takes 7.5 hours to do the job alone

y = 4x

y = 4*7.5

y = 30

Printer B takes 30 hours to get the job done if it worked alone

-----------

Note how

1/x + 1/y = 1/7.5 + 1/30 = 4/30 + 1/30 = 5/30 = 1/6

so this confirms we have the right answer.


Related Questions

help me plzzzz i need help i need help right now right now

Answers

Answer:

the third one is correct

C should be the right answer

FIRST GETS BRAINLLEST What is the perimeter of the track, in meters? Use π = 3.14 and round to the nearest hundredth of a meter.

Answers

Answer:

250.72

Step-by-step explanation:

the first step to do is you imagine the semi-circle is a whole circle. Now since its a circle you can calculate the circumference by using the equation 3.14d. The diameter of the circle is 150.72 Now we can easily tell that their are two sides having a length of 50 meters. 50 +50 = 100. Now if we cut the circle and put the semi-circle back to its place, then it will have the same shape of the track. And finally when you add 150.72 + 100= you get 250.72.

Answer:

175.4

Step-by-step explanation:

50+50=100

Find circle perimeter with 12, because you have to use the radius not the diameter. Perimeter of circle= 75.4

100+75.4= 175.4

How many solutions does this system have? 2 x - 3 y = 10. -4 x + 6 y = - 20.
A) One
B) Two
C) An infinite number
D) No solution

Answers

Answer:  The correct answer is:  [D]:  " No solution " .

______________________________________

Step-by-step explanation:

We are given the following system of equations:

   2x − 3y = 10 ;

     -4x + 6y  =  -20 ;

_______________________________________

  Let us take the second equation:

   -4x + 6y  =  -20 ;

     and multiply each side by "-1 " ; to get rid of the "negative numbers" ; and to rewrite the equation without the "negative numbers" :    

       - 1 * { - 4x + 6y }  =  -1 * (-20} ;

  to get:

       4x − 6y = -20 ;

Now, let us simply this equation further; by divide each side of the equation by "2" ;

       (4x − 6y) / 2  =  (-20) / 2 ;

          → [ (4x) / 2 ]    −  [ (6y) / 2 ]  =  -10 ;

   to get:   2x  −  3y  = -10 ;

Then we have: 2x − 3y = 10 ;  

                    Note:    10 ≠ -10 .

_______________________________________

So the answer is: [D]: " No solution."

_______________________________________

Hope this explanation helps you!  Best wishes!

_______________________________________

Ordered pair for this point? (I circled the point in Pink)

Answers

Answer:

(-4,-3)

Step-by-step explanation:

The first coordinate of the ordered pair is the x value or go across

to the right is positive  and the left is negative   so x = -4

The second coordinate of the ordered pair is the y value or go up and down

up is positive and down is negative  so y = -3

(-4,-3)

Answer:

(-4, -3)

Step-by-step explanation:

You can move 4 left from the x axis to get -4, and then move 3 down from the y axis to get -3, leading to the coordinates (-4, -3).

Can someone please help me?

Answers

Answer:

15=Does not have the right diagram

16=Does not have the right diagram

17=Sorry I can not draw that on a screen

18=4,8

19=5,4

20=2,7

21=5,8

22=145 Degrees

Step-by-step explanation:

15, Complementary angles are angles on the same side but one is between the parallel lines and one is outside of the parallel lines

16, According to the definition of supplementary angles, they are two angles that sum up to 180, and any two angles that are on the same line, same side and are being separated by a line are supplementary

17,

18, Corresponding angles are angles on the same side but one is between the parallel lines and one is outside of the parallel lines.

19, By the definition of Alternate Interior Angles, they are a pair of angles on the inner side of each of those two lines but on opposite sides of the transversal

20, By the definition of Alternate Exterior Angles, they are a pair of angles on the outer side of each of those two lines but on opposite sides of the transversal

21, Vertical angles are angles opposite of each other made by two intersecting lines

22, 1, and 2 are supplementary angles so 180-35=145=1. 1 and 8 are Alternate Exterior Angles so 1=8, substitute, 145=8

Hope this helps, if it did, please consider giving me brainliest, it will help me a lot. If you have any questions, feel free to ask.

Have a good day! :)

ignore me i just need points

Please solve pls explain as well

Answers

Answer:

The answer is in the other post of the same question

Step-by-step explanation:

Here's the link to the other question: https://brainly.com/question/17140832

18 belongs in 9 because each number is multiples by its self and flipped

You are going to a movie, and your friend says it is showing some time on the weekend between noon and 8, but won't say when, exactly.What are the chances itis playing on Sunday between 6 and 8?

Answers

Answer:

The chances are 1/6 because 6-8 is 1/6 of the possible timings.

:)

Answer:

7/8

Step-by-step explanation:

Because it is 8 hours combined (noon to 8) 8 will be the denominator and since it is 3 hours (6 to 8) 3 is the numerator. Keep that aside.

Since there are 2 days in a weekend 2 will be the denominator and since it is on Sunday 1 will be the numerator.

So 3/8 + 1/2 = 7/8

Can someone please help me solve this?

Answers

Answer:

(a)

Step-by-step explanation:

The tangent and the normal at point P are perpendicular.

Given

[tex]m_{tangent}[/tex] = 3, then

Given the gradient m of the tangent then the gradient of a line perpendicular to it is

[tex]m_{normal}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{3}[/tex] → (a)

Your answer would be a because the 1 is negative which makes it (-1,3)

P(n) models the probability, when rolling a pair of dice, of obtaining two numbers whose sum is n 2 6 7 P(n) 1/36 5/36 6/36 when does the probability increase faster? a)Between a sum of 2 and a sum of 6 b) Between a sum of 6 and a sum of 7 c)the probability increases at the same rate over both intervals

Answers

Answer:

Option c.

Step-by-step explanation:

From the given table, it is clear that

[tex]P(2)=\dfrac{1}{36}[/tex]

[tex]P(6)=\dfrac{5}{36}[/tex]

[tex]P(7)=\dfrac{6}{36}[/tex]

The increasing rate of probability between a sum of 2 and a sum of 6 is

[tex]r_1=\dfrac{P(6)-P(2)}{6-2}[/tex]

[tex]r_1=\dfrac{\dfrac{5}{36}-\dfrac{1}{36}}{4}=\dfrac{1}{36}[/tex]

The increasing rate of probability between a sum of 6 and a sum of 7 is

[tex]r_2=\dfrac{P(7)-P(6)}{7-1}[/tex]

[tex]r_2=\dfrac{\dfrac{6}{36}-\dfrac{5}{36}}{1}=\dfrac{1}{36}[/tex]

Since [tex]r_1=r_2[/tex], therefore the probability increases at the same rate over both intervals.

Hence, the correct option is c.

Answer:

c)the probability increases at the same rate over both intervals

Step-by-step explanation:

it was right on khan academy

Find the magnitude of the vector.
(-2,-7)

Answers

Answer:

[tex]\sqrt{53}[/tex]

Step-by-step explanation:

[tex]\begin{pmatrix}-2&-7\end{pmatrix}\\=\sqrt{\left(-2\right)^2+\left(-7\right)^2}\\\\[/tex]

Then you need to simplify:

[tex]=\sqrt{2^2+\left(-7\right)^2}\\=\sqrt{2^2+7^2}\\=\sqrt{4+7^2}\\=\sqrt{4+49}\\=\sqrt{53}[/tex]

Answer:

53

Step-by-step explanation:

Let f(x) = 5x + 4 and g(x) = −2x + 1. Find the indicated value f(-2) plz respond quickly

Answers

Answer:

f(-2) = -6

Step-by-step explanation:

f(x) = 5x + 4

Let x=-2

f(-2) = 5*-2 +4

      = -10+4

      = -6

Answer:

[tex]\boxed{f(-2) = -6}[/tex]

Step-by-step explanation:

[tex]f(x) = 5x-4[/tex]

Put x = -2

[tex]f(-2) = 5(-2)+4\\f(-2) = -10+4\\f(-2) = -6[/tex]

When multiplying or dividing two numbers with opposite signs, the answer will be 1.negative 2.positive

Answers

Answer:

Negative when multiplying

and

Negative when dividing

Step-by-step explanation:

Answer:

I hope these help

Multiplication ;[tex] - \times - = + \\ - \times + = - \\ + \times + = + \\ + \times - = - [/tex]Division ;

[tex] + \div - = - \\ + \div + = + \\ - \div - = + \\ - \div + = - [/tex]

2/3% as a fraction pls i need to know thx

Answers

Answer:

Hey there!

2/3% is basically 2/3's of 1 percent.

Thus, as a fraction we get 2/300.

Hope this helps :)

Answer:

1/150

Step-by-step explanation:

2/3%

We know that 1% = 1/100

2/3% = (2/3)/100

2/3% = 2/(3 × 100)

2/3% = 2/300

2/3% = 1/150

What is the value of the expression
9r-5s+3 to the 3rd power if r=2/3 and s= -2

Answers

Answer:

43

Step-by-step explanation:

(9r-5s+3^3)

Let r = 2/3  and s = -2

(9 * 2/3-5* -2+3^3)

(6+ 10+27)

43

Answer:

[tex] \huge \boxed{43}[/tex]

Step-by-step explanation:

[tex]9r - 5s + {3}^{3} [/tex]

plug the values

[tex] = 9 \times \frac{2}{3} - 5 \times ( - 2) + {3}^{3} [/tex]

Reduce the numbers with Greatest Common Factor 3

[tex] = 3 \times 2 - 5 \times ( - 2) + {3}^{3} [/tex]

Multiply the numbers

[tex] = 6 + 10 + 27[/tex]

Calculate the sum of positive numbers

[tex] = 43[/tex]

Hope I helped..

Best regards!

Which expression can you simplify by combining like terms? 12b2+4ab−3ba−6 17a2−6b2a+4ba−9 5b2−5a2+8a−b 14a2+6ab−3b−3a

Answers

Answer:

12b^2+4ab−3ba−6

Step-by-step explanation:

12b2+4ab−3ba−6

The two middle terms are like terms, the order in which you multiply does not matter ab =ba

12 b^2 +4ab -3ab -6

12 b^2 +ab -6

The correct answer is....

A.) A 12b2+4ab-3ba-6

If the degree and variables of two terms are same, then they are called like terms.

Here, 4ab and -3ab are like terms because both have same variables a and b with degree 1.

By combining like terms we get

In options B, C and D, there are no like terms, So only the expression  we can simplify by combining like terms.

Ava is buying paint from Amazon. Ava needs 3⁄4 cup of blue paint for every 1 cup of white paint. Ava has 28 ounces of white paint. How many cups of blue paint does he need?

Answers

Answer:

21

Step-by-step explanation:

So we know the ratio is 3/4:1

So if she has 28 ounces of white pain, we can do 28*3/4=21. You could also do 28/4 (find out how much 1/4 of the value is) which is 7 and then multiply that by 3. What your basically doing is your putting it into 4 equal parts and then just multiplying by 3 since that's the amount of parts you need/have.

Please help i will mark brainliest for correct answers!​

Answers

Answer:

7. 1/3    8. 3/8

Step-by-step explanation:

7. 5 - 1/6 chance           1 out of 6 possibilities

6 - 1/6 chance           1 out of 6 possibilities

1/6+1/6 = 1/3

8. 3 a's out of 8 letters. 3/8

Answer:

7. 2/3

8. 3/8

Step-by-step explanation:

5 - 1/6

1/6

6 - 1/6

1/6

1/6+1/6 = 2/6 = 1/3

3 out of 8

3/8

If you're good at trigonometry please help me with 10 a and b and show full working out ty ;)

Answers

Answer:gjcnlfjdk

Step-by-step explanation:

Kim and Stacy like to make necklaces. Kim has made 25 necklaces, and Stacy has made t necklaces. They have made a total of 57 necklaces all together. Write an equation to describe this situation. How many necklaces did Stacy make?

Answers

25 + t = 57

t = 57 - 25

t = 32

so stacy made 32 necklaces

25+t=57
t=57-25
t=32 necklaces

pls help me i give brainliest

Answers

If I am not wrong it should be 5 units but still please give me a heart

Answer: I Thing the answer may be 7units. Please correct  me if i'm wrong  

Step-by-step explanation:

Which of the following angles is not coterminal with 120 degrees? 840,480,520,-240

Answers

Answer:

520°

Step-by-step explanation:

A way to find the coterminal of an angle is to add or subtract mutiples of 360°

The angle which is not coterminal with 120° is 520°

What are coterminal angles?

"Any two angles that have the same starting and ending points regardless of the measurement are coterminal angles."

How to find coterminal angle?

"In order to find a coterminal angle, simply add or subtract 360 degrees of the terminal angle as many times as possible."

For given example,

Given angle: 120°

First we find the coterminal angles with 120°

The coterminal angles with 120° are:

120° + 360° = 480°

120° + 720° = 840°

120° - 360° = -240°  (here, -360° means angle measured in clockwise direction)

So, the coterminal angles with 120° are 840°, 480°, -240°

Therefore, the angle which is not coterminal with 120° is 520°

Learn more about the coterminal angles here:

https://brainly.com/question/23093580

#SPJ2

What is the mean absolute deviation of the data set {30,33,36,34,52}?

Answers

Answer:

6

Step-by-step explanation:

I took the test and got 100%

I hope i helped and that i get brainliest :P

Answer:

Step-by-step explanation:

1)To find the mean absolute deviation of the data, start by finding the mean of the data set.

2)Find the sum of the data values, and divide the sum by the number of data values.

3)Find the absolute value of the difference between each data value and the mean: |data value – mean|.

4)Find the sum of the absolute values of the differences.

5)Divide the sum of the absolute values of the differences by the number of data values.

which expression is equivalent to (16 x 8 y - 12) 1 / 2

Answers

Answer: I don't really know exactly what you are asking for but does this help? 8x4y-6

Step-by-step explanation:

Distribute the 1/2 to each of the factors. If you need me to explain further please let me know :)

Answer:  8x⁸y - 6

Step-by-step explanation:

[tex](16x^8y - 12) \times \bigg(\dfrac{1}{2}\bigg)\\\\\\=\dfrac{16x^8y}{2}-\dfrac{12}{2}\\\\\\=8x^8y-6[/tex]

Which of the following verifies that AABC is similar to A DEF?

Answers

Answer:

D

Step-by-step explanation:

According to the SAS theorem, if the 2 sides of the 2 triangles are multiples of each other by the same scale factor, with the angle in between them being the same for each triangle. The triangles are similar.

The SSS theorem is not appropriate here because we do not know the side lengths of AB or DE in the diagram. For SSS theorem we need to know all of the side lengths.

A is incorrect because the similarity can be determined.

the answer is D. sas theorem

Box A contains 5 dark chocolates and
10 milk chocolates. Box B contains 12
dark chocolates and 12 milk chocolates.
Craig picks a box at random and then
takes out one chocolate at random.
If he chooses box A, what is the probability
he chooses a milk chocolate?
% (1 d.p.)​

Answers

Answer:

26% or 10/39

Step-by-step explanation:

Since box A has 5 dark chocolates and 10 milk chocolates, there are 15 chocolates in all. Box B has 24 chocolates in total (12 milk, 12 dark). So there is a total of 39 chocolates in all.

There are 10 milk chocolates in Box A, so the probability of choosing any one milk chocolate out of the total 39 is 10/39 or in percentage, 26%.

WILL MARK BRAINLIEST Give a real world example of an equation which the constant of proportionality is 15. What would the graph look like?

Answers

Answer:

Let's say someone is selling lemonade at a lemonade stand. The more cups of lemonade this person sells, the more money they get. If 1 cup= $1, then he would get $2 for 2 cups.

Step-by-step explanation:

The price of the lemonade cup and the lemonade cup are a constant of proportionality. They are proportional to each other. The more lemonade you sell, the more money you get.

The graph would be a straight diagonal line. The y would be the money, and the x would be the amount of lemonade sold. Since they are the same and proportional, they would go in a straight line.

Graphs are sometimes______by the way they present information.

Answers

Answer:

Misleading?

Step-by-step explanation:

Graphs can have mislabeled axes or different values on the axes, making them hard to understand.

I think this is the right answer, but the question was way too vague. Next time, put some options or at least explain the problem better.

Determine the discriminant for the quadratic equation -3=x2+4x+1. Based on the discriminant value, how many real number solutions does the equation have? Discriminant = b2-4ac

Answers

Greetings from Brasil...

The equation:

X² + 4X + 1 = - 3

X² + 4X + 1 + 3 = 0

X² + 4X + 4 = 0

Δ = b² - 4.a.c

Δ = 4² - 4.1.4

Δ = 0

so we have just 1 solution

X = (- b ± √Δ)2a

X = (- 4 ± √0)2.1

X = - 4/2

X = - 2

Answer:

X=-2

Step-by-step explanation:

Use more than one equation.

X=-2

X=2

minus the four from the left over.

answer X=-2

Bryce is picking out a new lamp at a furniture store. There are 5 kinds of lamp bases and
3 different lampshades. Each lampshade comes in 3 different colors. Bryce also needs to
choose one of the 2 kinds of lightbulbs available. How many different lamps can Bryce choose?

Answers

Answer:

80 lamps

Step-by-step explanation:

number of lamp bases*no. of lampshades*no. of lightbulbs= total number of lamp choices

5*(3*3)*2

=5*9*2

=40*2

=80

hope it helps :)

Two bicycles are driving on the circle in the same direction with speeds of 9 mph and 5 mph respectively. How many points are there on the circle where the two bicycles meet?

Answers

Answer:

4 points

Step-by-step explanation:

.

Let  L  be the circumference of the circle.

Then the faster cyclist will catch the slower cyclist first time  when the faster cyclist will cover

the distance which exactly 1 circumference longer than the distance covered by the slower cyclist

9t-5t=l

It gives the time to get first meeting point

t=l/9-5=l/4 hours

and the distance which the faster cyclist covered during this time is

d1=9t=9l/4 miles

The distance which the slower cyclist covered during this time is

d2=5t=5l/4

The meeting point is geometrically the same point on the circle for both cyclists, and its angle measure on the circle is

 (1/l)(5l/(4)-l)=1/4

of the full angle of 2pi radians, or 90 degrees.

So, they started simultaneously, and their first meeting point is at the 90 degrees angle.

Next, they started from this point  SIMULTANEOUSLY  and . . . and everything was repeated.

Hence, their next meeting point is the point on the circle with the angle of 180 degrees.

So, there are 4 remarkable points on the circle: first point is the starting point, and 3 other points

(the points where whey meet/catch each other) are the images of the starting point, rotated 90°, 180°, and 270° along the circle.

There are 4 remarkable points on the circle which is the first point is the starting point and 3 other points.

What is the circumference of the circle?

The circumference of the circle that has a radius of r is defined as the product of diameter to the pie value.

The circumference of the circle = 2πr

Let  L represent the circumference of the circle.

Then the faster cyclist will catch the slower cyclist the first time when the faster cyclist will cover the distance which is exactly 1 circumference longer than the distance covered by the slower cyclist

9t - 5t = L

It gives them time to get the first meeting point

t = L/9 - 5

t = L/4 hours

The distance which the faster cyclist covered during this time;

d1 = 9t = 9L/4 miles

The distance that the slower cyclist covered during this time is

d2 = 5t = 5L/4

The meeting point is geometrically the same point on the circle for both cyclists, and its angle measured on the circle;

(1/l)(5l/(4)-l)=1/4

Therefore, their next meeting point is the point on the circle with an angle of 180 degrees.

So, there are 4 remarkable points on the circle which is the first point is the starting point and 3 other points.

Learn more about circumference here;

brainly.com/question/12512221

#SPJ2

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