# Write the following camparison a ratio reduced to lowest terms. 169 minutes to 8 hours

QUESTION POSTED AT 03/12/2019 - 12:35 PM

QUESTION POSTED AT 03/12/2019 - 12:35 PM

8 hours is 8*60=480 minutes, so our ratio is 169/480 as a fraction, or 169:480 as a ratio. This is already in lowest terms.

Let

x = time of Byran's work

x + 10 = time of Andy's work

Rate is usually expressed a reciprocal. The total rate will be 12 minutes.

1/x + 1/(x + 10) = 1/12

The value of x will be 20 minutes.

Therefore Byran can take 20 minutes while Andy can take 30 minutes.

x = time of Byran's work

x + 10 = time of Andy's work

Rate is usually expressed a reciprocal. The total rate will be 12 minutes.

1/x + 1/(x + 10) = 1/12

The value of x will be 20 minutes.

Therefore Byran can take 20 minutes while Andy can take 30 minutes.

ANSWERED AT 14/12/2019 - 06:00 PM

QUESTION POSTED AT 14/12/2019 - 06:00 PM

Let x for the altitude and y for the temperature.

Determine the value of slope:

m = (y - y1)/(x - x1)

Given two points (8200, 203.34) and (4700, 207.89),

m = (207.89 - 203.34)/(4700 - 8200) = -0.0013

Make a linear equation for this case.

y - y1 = m(x - x1)

y - 203.34 = -0.0013(x - 8200)

y - 203.34 = -0.0013x + 10.66

y = -0.0013x + 214

At x = 2100 ft

y = -0.0013(2100) + 214 = 211.27 F

Determine the value of slope:

m = (y - y1)/(x - x1)

Given two points (8200, 203.34) and (4700, 207.89),

m = (207.89 - 203.34)/(4700 - 8200) = -0.0013

Make a linear equation for this case.

y - y1 = m(x - x1)

y - 203.34 = -0.0013(x - 8200)

y - 203.34 = -0.0013x + 10.66

y = -0.0013x + 214

At x = 2100 ft

y = -0.0013(2100) + 214 = 211.27 F

ANSWERED AT 14/12/2019 - 05:57 PM

QUESTION POSTED AT 14/12/2019 - 05:57 PM

Given one angle = 90

the other two angles = 90

the other two angles = 90

ANSWERED AT 14/12/2019 - 05:55 PM

QUESTION POSTED AT 14/12/2019 - 05:55 PM

6+T=h

Six plus Theodore equals hours

Six plus Theodore equals hours

ANSWERED AT 14/12/2019 - 05:51 PM

QUESTION POSTED AT 14/12/2019 - 05:51 PM

Let us assume the first number = x

Then

The consecutive number will be = x + 1

(x + 1)^3 - x^3 = 169

x^3 + 3x^2 + 3x + 1 - x^3 = 169

3x^2 + 3x = 169 - 1

3x^2 + 3x = 168

3x^2 + 3x - 168 = 0

Dividing both sides by 3 we get

x^2 + x - 56 = 0

x^2 -7x + 8x - 56 = 0

x(x - 7) + 8 (x - 7) = 0

(x - 7) (x + 8) = 0

From the above solution we have to take

x - 7 = 0

x = 7

So the small integer is 7

The larger integer = x + 1

= 7 + 1

= 8

So the two consecutive integers are 7 and 8.

Then

The consecutive number will be = x + 1

(x + 1)^3 - x^3 = 169

x^3 + 3x^2 + 3x + 1 - x^3 = 169

3x^2 + 3x = 169 - 1

3x^2 + 3x = 168

3x^2 + 3x - 168 = 0

Dividing both sides by 3 we get

x^2 + x - 56 = 0

x^2 -7x + 8x - 56 = 0

x(x - 7) + 8 (x - 7) = 0

(x - 7) (x + 8) = 0

From the above solution we have to take

x - 7 = 0

x = 7

So the small integer is 7

The larger integer = x + 1

= 7 + 1

= 8

So the two consecutive integers are 7 and 8.

ANSWERED AT 14/12/2019 - 05:51 PM

QUESTION POSTED AT 14/12/2019 - 05:51 PM

In this question, the wording has to be noted very carefully. It is given that the time for practicing each of the 3 piano solos is 5/12 hour. So from this wording we understand that there are three solos and each solo takes 5/12 hours of practice by Richard. Now let us come down to the solving part.

So

For practicing 1 piano solo, Richard takes = 5/12 hours

Then

For practicing 3 piano solos the amount of time taken by Richard = (5/12) * 3

= 5/4 hours

= 1 1/4 hours

So the total practice time required by Richard is 1 1/4 hours.

So

For practicing 1 piano solo, Richard takes = 5/12 hours

Then

For practicing 3 piano solos the amount of time taken by Richard = (5/12) * 3

= 5/4 hours

= 1 1/4 hours

So the total practice time required by Richard is 1 1/4 hours.

ANSWERED AT 14/12/2019 - 05:50 PM

QUESTION POSTED AT 14/12/2019 - 05:50 PM

Use the formula of arc length that is

s = rθ

where s = arc length, r = radius, θ = angle (unit must be in radian)

Given r = 5 in and θ = 48°( π /180°) = (4/15)* π = 0.2667 π,

s = 5 in (0.2667π) = 1.333 π in

s = rθ

where s = arc length, r = radius, θ = angle (unit must be in radian)

Given r = 5 in and θ = 48°( π /180°) = (4/15)* π = 0.2667 π,

s = 5 in (0.2667π) = 1.333 π in

ANSWERED AT 14/12/2019 - 05:50 PM

QUESTION POSTED AT 14/12/2019 - 05:50 PM

You know that Tyler paid $10.50 per hour , so in total she works 37 hours a week

so 12 new accounts = 1= $15.00 12 * $15.00 =$180

for 37hours * 10.50 = $388.50 + $180=$568.50 + $50.00 = $618.50

so 12 new accounts = 1= $15.00 12 * $15.00 =$180

for 37hours * 10.50 = $388.50 + $180=$568.50 + $50.00 = $618.50

ANSWERED AT 14/12/2019 - 05:50 PM

QUESTION POSTED AT 14/12/2019 - 05:50 PM

A percent is a ratio of a number to 100. It is often used to communicate a relative amount. Per cent means "per 100".

12% means 12 out of 100 or 12/100 in fraction or 0.12 in decimal equivalents.

If a percentage is converted into a fraction without a whole number given, the denominator is always 100 and the fraction can be simplified by dividing both numerator and denominator by the common factor.

Example:

25% becomes 25 / 100. It can be simplified to 1 / 4.

If a percentage is converted into a decimal, based from the percent sign (%) move the decimal point to places to the left.

Example:

25% becomes 0.25 two places to the left from the % sign.

OR

125% becomes 1.25

12% means 12 out of 100 or 12/100 in fraction or 0.12 in decimal equivalents.

If a percentage is converted into a fraction without a whole number given, the denominator is always 100 and the fraction can be simplified by dividing both numerator and denominator by the common factor.

Example:

25% becomes 25 / 100. It can be simplified to 1 / 4.

If a percentage is converted into a decimal, based from the percent sign (%) move the decimal point to places to the left.

Example:

25% becomes 0.25 two places to the left from the % sign.

OR

125% becomes 1.25

ANSWERED AT 14/12/2019 - 05:48 PM

QUESTION POSTED AT 14/12/2019 - 05:48 PM

3/ (5/8)

= 3* (8/5)

= 24/5

**The final answer is 24/5**~

= 3* (8/5)

= 24/5

ANSWERED AT 14/12/2019 - 05:47 PM

QUESTION POSTED AT 14/12/2019 - 05:47 PM

Christine crawled:

3 ft* (3/4)= 2.25 ft.

3 ft+ 2.25 ft= 5.25 ft

We already know that 1 ft= 12 in.

5.25 ft* (12in/ 1 ft)= 63 in.

**The total distance the two children crawled together is 63 in**~

3 ft* (3/4)= 2.25 ft.

3 ft+ 2.25 ft= 5.25 ft

We already know that 1 ft= 12 in.

5.25 ft* (12in/ 1 ft)= 63 in.

ANSWERED AT 14/12/2019 - 05:47 PM

QUESTION POSTED AT 14/12/2019 - 05:47 PM

2miles per 30min - 2 to 3

90/30=3x2=6

6miles in 90min

She was jogging @ a 1mile per 15min but each hour it was 4mile per hour

90/30=3x2=6

6miles in 90min

She was jogging @ a 1mile per 15min but each hour it was 4mile per hour

ANSWERED AT 14/12/2019 - 05:45 PM

QUESTION POSTED AT 14/12/2019 - 05:45 PM

4 / 5 = 8 / w and 4/ 5 = 8 / 10

4 x 2 = 8 and 5 x 2 = 10 in.

w = 10 in.

The width is 10 inches.

4 x 2 = 8 and 5 x 2 = 10 in.

w = 10 in.

The width is 10 inches.

ANSWERED AT 14/12/2019 - 05:44 PM

QUESTION POSTED AT 14/12/2019 - 05:44 PM

Let the number be x.

**The final answer is 9x/6**.

Hope this helps~

Hope this helps~

ANSWERED AT 14/12/2019 - 05:41 PM

QUESTION POSTED AT 14/12/2019 - 05:41 PM

Here you go..

a= 3

b= 1 3/4

a= 3

b= 1 3/4

ANSWERED AT 14/12/2019 - 05:39 PM

QUESTION POSTED AT 14/12/2019 - 05:39 PM

He read 28 pages in 1 hour so in two hours it would be 56 but per hour it is 28 more pages

ANSWERED AT 14/12/2019 - 05:38 PM

QUESTION POSTED AT 14/12/2019 - 05:38 PM

81 texts/ 9 minutes= 9 texts/min.

**Sharmila received 9 texts in 1 minute**.

Hope this helps~

Hope this helps~

ANSWERED AT 14/12/2019 - 05:36 PM

QUESTION POSTED AT 14/12/2019 - 05:36 PM

Because 2 is positive and -13 is negative, and positive numbers are always greater than negative numbers, **2 is greater than -13**~

ANSWERED AT 14/12/2019 - 05:36 PM

QUESTION POSTED AT 14/12/2019 - 05:36 PM

315 peanuts/ 15 min= 21 peanuts/min.

**Jack sells 21 peanuts in 1 minute**.

Hope this helps~

Hope this helps~

ANSWERED AT 14/12/2019 - 05:34 PM

QUESTION POSTED AT 14/12/2019 - 05:34 PM

Given Situation: Jack shells 315 peanuts in 15 minutes.
Let’s analyze this given situation to be able to get the correct unit rate that we need:
In 15 minutes Jack was able to shell out around 315 peanuts. Now, let’s see how many peanuts he can shell in every minute.
=> By simply dividing 315 by 15 , we can get the correct answer.
=> 315 peanuts / 15 minutes
=> 21 peanuts per minute.
Thus, Jack can shell out 21 peanuts / minute.

ANSWERED AT 14/12/2019 - 05:33 PM

QUESTION POSTED AT 14/12/2019 - 05:33 PM

The mean change of altitude in feet over feet per minute is 62ft over feet per minute

ANSWERED AT 14/12/2019 - 05:29 PM

QUESTION POSTED AT 14/12/2019 - 05:29 PM

I like to approach things like this like so:

First, add the four and five together. Now we know there will be nine parts.

Next, we divide 63 by 9, which is 7. Each part is 7 bikes.

Finally, we multiply 7 by 4, because blue is four parts of the whole.

28 of the 63 bikes are blue.

Hope I helped!

First, add the four and five together. Now we know there will be nine parts.

Next, we divide 63 by 9, which is 7. Each part is 7 bikes.

Finally, we multiply 7 by 4, because blue is four parts of the whole.

28 of the 63 bikes are blue.

Hope I helped!

ANSWERED AT 14/12/2019 - 05:29 PM

QUESTION POSTED AT 14/12/2019 - 05:29 PM

+83: Stock Market gains 83 points.

- 47: The next day the stock market loses 47 points

- 47: The next day the stock market loses 47 points

ANSWERED AT 14/12/2019 - 05:29 PM

QUESTION POSTED AT 14/12/2019 - 05:29 PM

527,519

= 500,000 + 20,000 + 7,000 + 500 + 10 + 9

= (5) * 100,000 + (2) * 10,000 + (7) * 1,000 + (5) * 100 + (1) * 10 + (9) * 1

**= (5) * 10⁵ + (2) * 10⁴ + (7) * 10³ + (5) * 10² + (1) * 10¹ + (9) * 10⁰**

= 500,000 + 20,000 + 7,000 + 500 + 10 + 9

= (5) * 100,000 + (2) * 10,000 + (7) * 1,000 + (5) * 100 + (1) * 10 + (9) * 1

ANSWERED AT 14/12/2019 - 05:28 PM

QUESTION POSTED AT 14/12/2019 - 05:28 PM

3610 ÷ 33.5 = 107.761194
107.76 miles per hour

ANSWERED AT 14/12/2019 - 05:24 PM

QUESTION POSTED AT 14/12/2019 - 05:24 PM

Yes because if the ratio is 9:10, then the new ratio would be ?:30. Since 10 was multiplied by 3, 9 should also be multiplied by 3, which equals 27. 30+27=57 so yes it is a reasonable number for the total

ANSWERED AT 14/12/2019 - 05:23 PM

QUESTION POSTED AT 14/12/2019 - 05:23 PM

Charles Lindbergh made the first solo airplane flight from New York to paris.
His flight covered about 3 610 miles in 33.5 hours.
Let’s find the Unit Rate for this given data:
=> 3 610 miles is the total distance
=> 33.5 hours is the time
Let’s divide the distance by time to get the answer
=> 3 610 / 33.5
=> 107.8 miles per hour – this is the unit rate that Charles travelled in plane from New York to Paris

ANSWERED AT 14/12/2019 - 05:23 PM

QUESTION POSTED AT 14/12/2019 - 05:23 PM

The way you write 10x10x10x10 using exponents. The way you use exponents is by counting the numbers of 10 there are since there is four you have to put 10 with a little number four on the top next to the number. Just in case that way you say it is 10 to the fourth power

ANSWERED AT 14/12/2019 - 05:21 PM

QUESTION POSTED AT 14/12/2019 - 05:21 PM

The three lengths are 3x, 6x, 8x.

The perimeter of a triangle is the sum of all lengths:

3x + 6x + 8x = 520.

Solving for x,

17x = 520

x = 30.59 cm

So the three lengths are

3(30.59) = 91.77 cm

6(30.59) = 183.54 cm

8(30.59) = 244.72 cm

The perimeter of a triangle is the sum of all lengths:

3x + 6x + 8x = 520.

Solving for x,

17x = 520

x = 30.59 cm

So the three lengths are

3(30.59) = 91.77 cm

6(30.59) = 183.54 cm

8(30.59) = 244.72 cm

ANSWERED AT 14/12/2019 - 05:21 PM

QUESTION POSTED AT 14/12/2019 - 05:21 PM

600 minus 28x3 then divided by 3

ANSWERED AT 14/12/2019 - 05:18 PM

QUESTION POSTED AT 14/12/2019 - 05:18 PM