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

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

Answered by admin 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.
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Related questions

Twin brothers, Andy and Brian mow their grandparent's lawn together in 12 minutes. Brian could mow the lawn himself in 10 minutes more than it would take Andy. How long would it take each person to mow the lawn alone?

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.

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


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

The relationship between altitude and the boiling point of a liquid is linear. an altitude of 8200 ft, the liquid boils at 203.34 F. At an altitude of 4700 ft, the liquid boils at 207.89 F. Write an equation giving the boiling point b of the liquid, in degrees Fahrenheit, in terms of altitude a, in feet. What is the boiling point of the liquid at 2100 ft?

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

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


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

Write the given. If one angle of a triangle is 90°, then the other two add to 90°. Given:

Given one angle = 90
the other two angles = 90

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


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

6 hours more per week than Theodore studies.how to write this as an algebraic expression.

6+T=h
Six plus Theodore equals hours

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


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

What are two consecutive numbers whose cubes differ by 169

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.





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


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

Richard practiced each of 3 piano solos for 5/12 an hour expressed in simplest form how long did he practice in all?

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.

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


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

Identify the arc length of TV in terms of π. (image is attached) The answers for this question were: ≈0.67pi in., ≈1.83pi in., ≈3.67pi in., or ≈1.33pi in.

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

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


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

How does the definition of percent help you write fraction and decimal equivalents

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

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


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

3 ÷ 5⁄8 = (Write the answer as a fraction)

3/ (5/8)
= 3* (8/5)
= 24/5

The final answer is 24/5~

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


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

Jack crawled 3 ft and Christine crawled 3⁄4 the distance Jack crawled. If you add the distance they each crawled together, what is the total distance the two children crawled. (Write the answer in inches.)

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~

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


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

Sybrina jogged 2 miles in 30 minutes. At this rate, how far would she jog in 90 minutes?At what rate did she jog each hour?

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

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


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

A room is 16 feet, 8 inches long, and the ratio of the length to the width is 4 to 5. What is the width of the room?

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.

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


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

How do you write the quotient of 9 times a number and 6

Let the number be x.

The final answer is 9x/6.

Hope this helps~

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


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

Karim read 56 pages in 2 hours.

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

Sharmila received 81 texts in 9 minutes

81 texts/ 9 minutes= 9 texts/min.

Sharmila received 9 texts in 1 minute.

Hope this helps~

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


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

How do write the integer to the question, which is greater, 2 or -13?

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

Jack shells 315 peanuts in 15 minutes

315 peanuts/ 15 min= 21 peanuts/min.

Jack sells 21 peanuts in 1 minute.

Hope this helps~

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


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

Jack shells 315 peanuts 15 minutes

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

An airplanes altitude changed 496 feet over 8 minutes. what was the mean change of altitude in feet over feet per minute

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

There are a total of 63 bikes. If the the ratio of blue bikes to black bikes is 4 to 5, how many of the bikes are blue

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!

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


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

A stock market gains 83 points. The next day the stock market loses 47 points. Write each amount a an integer.

+83: Stock Market gains 83 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

How do you write 527,519 in expanded from using exponents

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

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


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

His flight covered about 3610 miles in 33.5 hours. Find the unit rate in miles per hour

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

The ratio of red collars to black collars sold at one store is 9 to 10. In one month 30 black collars are sold. Is 57 a reasonable number for the total number of red and black collars sold that month? Explain your reasoning.

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 3610 miles in 33.5 hours. Find the unit rate in miles per hour.

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

How do you write 10x 10 x 10 x10 using exponents SHOW YOUR WORK WILE ANSWERING THIS QUESTION

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 lengths of the sides of a triangle are in the extened ratio 3:6:8. The triangle's perimeter is 520cm. What are the lengths of the sides?

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

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


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