MATHEMATICS HIGH SCHOOL

An investor predicts that next month, 1 ton of coal will cost $53.00, with a 3% margin of error. Based on the prediction, what is the range of possible costs, in dollars per ton, for the coal?

Answers

Answer 1
Answer:

Answer:

"Cost would be between $51.41 and $54.59"

Step-by-step explanation:

3% margin of error means that the cost can be

  • 3% lower, or
  • 3% higher

First we need to find 3% of $53 and then we will "add" and "subtract" from $53 to get the range of values of cost.

To get 3% of $53, we need to convert the percentage to decimal and multiply with $53. To get percentage to decimal, we divide by 100, so we have:

3/100 = 0.03

Now,

0.03 * 53 = $1.59

The range would be:

$53 + $1.59 = $54.59

and

$53 - $1.59 = $51.41

Cost would be between $51.41 and $54.59

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sally can paint a room in 7 hours while it taks steve 9hours to finsh the same room. how ling will it take them to paint if they worked together?

Answers

How much part can sally paint in an hour ?
a ÷ 7 = a/7

And what about Steve ?
a ÷ 9 = a/9

Where, a is the total area of the room.

So, let the time taken by both of them to paint the room together be 't'

So,
t(a/7 + a/9) = a
t(9a/63 + 7a/63) = a
t(16a/63) = a
t = 63/16 ≈ 4 hr
Sally alone can paint the room in 7 hours.

In 7 hours Sally alone does the job.

In 1 hour   Sally would do (1/7) of the job.


Steve can paint it alone in 9 hours.

In 9 hours Steve alone does the job.

In 1 hour   Steve would do (1/9) of the job.

Both working together in 1 hour would do:   (1/7) + (1/9).    

(1/7)*(9/9) + (1/9)*(7/7) = 9/63 + 7/63 = (9 + 7) / 63 = 16/63

In 1 hour both will have done (16/63) of the job.

16/63 of the job will be done in 1 hour by both.

Therefore  a 1 whole fraction of the job will be done in:   1 hour ÷ 16/63

                             =   1 hour × 63/16

                             = 63/16 hours = 3.9375 hours

It would take both 63/16 hours or 3.9375 hours.

Choose all the fractions that are in simplest form.4/26
8/21
6/19
9/10
10/22

Answers

4/26 can be simplified by 2. So, this is not the answer.
8/21 cannot be simplified. So, it is one of the answers.
6/19 cannot be simplified. So, it is one of the answers.
9/10 cannot be simplified. So, it is one of the answers.
10/22 can be simplified by 2. So, this is not the answer.

So, the fractions in simplest forms are 8/21, 6/19, and 9/10.

Examples of prime numbers

Answers

1,2,3,5,7,11.... Any number that are only divisible by 1 and the number itself

How do you find the area of a hexagon?

Answers

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What is 9/11=?/22 need help with this problem

Answers

When you solve proportions, you have to cross multiply.

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     198 = 11x        Then, divide.

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A combined total of $46,000 is invested in two bonds that pay 4% and 9.5% simple interest. The annual interest is $3,490.00. How much is
invested in each bond?

Answers


Answer: 4%-16000 and 9.5%-30000

Why:

1) x+y=46000

x=46000-y

2) 4%x+9,5%y=3490;

4x + 9.5y=349000; so 4*(46000-y)+9.5y=349000;

5.5y=165000

y=30000

x=46000-30000=16000
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