A printer can print 60 pages in 4.8 minutes. a) If the printer prints at the same rate, how long will it take to print 200 pages?

b) How many pages would it print in 7.2 minutes?

Answers

Answer 1

Answer: it's: a) 16 and b) 90

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Write the following number in expanded form 46,371

An experienced carpenter can frame a house twice as fast as an apprentice. Working together, it takes the carpenters 2 days. How long would it take the apprentice working alone?

Answers

We are required to calculate the number of days it would take the apprentice working alone

The number of days it takes the apprentice working alone is 6 days

let

Number of days taken for the carpenter to work alone = x

Number of days taken by the apprentice to work alone = 2x

Number of days taken to work together = 2 days

Work done per day Carpenter = 1/x

work done per day apprentice = 1/2x

work done per day together = 1/2

So,

work done per day together = Work done per day Carpenter + work done per day apprentice

1/2 = 1/x + 1/2x

1/2 = (2 + 1) / 2x

1/2 = 3/2x

cross product

1(2x) = 2(3)

2x = 6

x = 6/2

x = 3 days

Therefore,

Number of days taken by the apprentice to work alone = 2x

= 2(3)

= 6 days

brainly.com/question/11965590

Answer:

6 days

Step-by-step explanation:

Let the time taken by Carpenter working alone = $C$ days

Then time taken by apprentice alone = Twice as that of taken by Carpenter = 2 $C$ days

Time taken working together = 2 days

Work done in one day working together = $(1)/(2)$

Work done in one day by Carpenter working alone = $(1)/(C)$

Work done in one day by apprentice working alone = $(1)/(2C)$

Work done in one day by Carpenter working alone + Work done in one day by Carpenter working alone = $(1)/(C)$ + $(1)/(2C)$ = Work done in one day working together = $(1)/(2)$

$(1)/(C)+(1)/(2C)=(1)/(2)\n\Rightarrow (2+1)/(2C)=(1)/(2)\n\Rightarrow C = 3\ days$

Time taken by Carpenter alone to complete the work = 3 days

Time taken by Apprentice alone to complete the work = 3 $*$ 2= 6 days

Determine the smallest 6 digit number which is exactly divisible by 8,15,and21

Answers

Find the least common multiple of 8, 15, and 21. . . . . . It's 280 .

So all the numbers divisible by 8, 15, and 21 are all the multiples of 280.

The smallest 6-digit number is 100,000 .

100,000 / 280 = 357.1 , so the next whole-number multiple is the 358th one.

280 x 358 = 100,240 .

You can tell right away that this is the smallest one that qualifies,
because if you take away 280 and go to the next smaller multiple,
it won't have 6 digits anymore.

Jose has an employer-sponsored 401(k) plan that he contributes to, and his employer matches 25% of his contributions. Jose's salary is $50,000, and last year he contributed $6000 to his 401(k) plan. What was the total amount that was contributed to his 401(k) last year?

Answers

Given:
50,000 salary
6,000 401K plan contribution of the employee
25% of employee's contribution is the 401K plan contribution of the employer.

6,000 x 25% = 1,500 employer's contribution
6,000 + 1,500 = 7,500

The total amount that was contributed to Jose's 401K plan last year was 7,500.

Square QRST has vertices Q(2,8),R(-4,8),S(-4,2),and T(2,2) and triangle QTU has vertices Q(2,8),T(2,2) and U(6,2) What is the area of the quadrilateral formed by the square and the triangle?

Answers

Here is how you do it:
The answer is 48

1. Becky won $108,000 by coming in first place at a chess tournament, and she has the option of receiving 4 quarterly payments of $27,000, with the first payment in 3 months, or 1 lump-sum payment of $108,000 occurring in 12 months. Once she receives her money, she plans on putting it in a savings account paying simple interest at an annual interest rate of 8.8% calculated quarterly. Becky's financial adviser told her that she'll "lose" money if she takes the lump-sum payment, and Becky wants to calculate how much she’ll "lose". HELP !! I don’t understand ! please show work

Answers

Answer:

Step-by-step explanation:

From the information being provided;

We learnt that Becky pays simple interest at an annual interest rate of 8.8% which is calculated quarterly.

i.e. $(8.8\%)/(4)= 2.2\%$

Since the first payment of $27,000 happened in the first three months, therefore, Becky will be able to have the money in the bank for 3 quarters prior to the lump-sum payment gets started.

Thus, the estimate of the amount Becky would earn as interest during this period of time is as follows:

$I =(PRT)/(100)$

$I =(27000* 2.2 * 3)/(100)$

$I =(178200)/(100)$

I = $1,782

The function y=-16x^2+96x shows the height y of a football kicked off the ground over a period of time x.the graph of the function is shown below.what is a reasonable domain for the time the ball is in the air