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3 years ago

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The perimeter of a rectangle is represented by the expression 12x-2812x−28. The length of the rectangle is represented by the ex

pression 2x+102x+10. Which expression represents the width of the rectangle?

1 answer:

Minchanka [31]3 years ago

8 0

Answer:

339,006 that's the answer

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A new machine makes 20,000 aluminum cans three times faster than an older machine. With both machines operating, it takes 15 h t

Ahat [919]

<u>Answer: </u>

New machine, working alone will take 20 hours to complete 20000 aluminium cans.

<u>Solution: </u>

For sake of simplicity let’s assume new machine be Machine “N” and old machine be Machine “O”

Let’s assume cans manufacture by machine “O” in 1 hour = x

Since machine N is three times faster than “O”,

So cans manufacture by machine N in 1 hour = 3x

Cans manufactured in 1 hour when both machines are operating simultaneously is equal to cans manufacture by machine O in 1 hour + cans manufacture by machine N in 1 hour

That is cans manufactured in 1 hour when both machines are operating = x + 3x = 4x

So cans manufactured in 15 hours when both machines are operating = $15 \times 4x = 60x$

Given that cans manufactured in 15 hours when both machines are operating = 20000

60x = 20000

$3x \times 20 = 20000$

$3x = \frac{20000}{20}$

3x = 1000 cans

As cans manufacture by machine N in 1 hour = 3x = 1000

So number of hours required by machine N to produce 1000 cans alone = 1 hour

So number of hours required by machine N to produce 1 can alone = $\frac{1}{1000}$ hours

And number of hours required by machine N to produce 20000 cans = $20000 \times \frac{1}{1000}$ = 20 hours

Hence new machine, working alone will take 20 hours to complete 20000 cans.

8 0

3 years ago

-3+14+-6273738+45 dhdgdhdhdhdbdhhfhdhfbfbdhdhdjdjdjdjhdhdhdhdhdhdhfhdhfhdhfhfhdhdhfjfhd

Julli [10]

Answer:

-6273682

Hope this is helpful to you

If you like my answer you can mark me as a brainlist.

THANK YoU

7 0

3 years ago

Can you predict the outcome of multiplying 750 by 0.1 without calculating

9966 [12]

Answer:

750 × 1/10 = 750/10 = 75

Step-by-step explanation:

The best way to really predict the outcome of multiplying 750 by 0.1 without calculator is firstly, converting the decimal to a fraction to easily do the multiplication in your head.

Since one of the multiplicand is a decimal the products will be much complicated therefore, to convert the decimal number 0.1 to a fraction number we shift the point to the right hand side which simply translate to 1/10. The trick here is the number of times we shift the point will determine the number of zeros the denominator will possess. Assuming we have 0.12 as the decimal, it is required we shift the point twice and the resulting value we become 12/100. If the decimal is 0.123 it is required we shift the point 3 times , the resulting value will be 123/1000. Not the number of times we shift the point will determine the number of zero's of the denominator.

Finally, the 2 multiplicands are now 750 and 1/10 which is more easier to manipulate in our head.

750 × 1/10 = 750/10 = 75( you just cancel the zeros)

8 0

3 years ago

Work out the mean for the data set below:<br> 603,607

postnew [5]

(603+607)/2 = 1210/2 = 605

6 0

3 years ago

8. What is the distance around the clock?

Elan Coil [88]

Answer:

The clock face is divided into sixty equal parts, each minute. The minute hand is located on the 20 minute mark at 6:20, the hour hand located between the 30 minute mark and the 35 minute mark. When the minute hand goes all sixty minutes, the hour hand only moves five, so to figure out the location of the hour hand, we look at how much the hour has progressed, in this case 20 minutes, or one third of the hour. So the minute hand has moved one third of the way through the hour, so has the hour hand moved one third of the way through the five minutes, or, five thirds of a minute, which is one and two thirds minute, one minute forty seconds. That puts the hour hand at thirty minutes plus one minute and forty seconds—at 31min 40sec—which is 11min 40sec farther than the minute hand.

Step-by-step explanation:

4 0

2 years ago