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2 years ago

Which expression is equivalent to 4 7/8 ÷ 4 1/4

Mathematics

1 answer:

cupoosta [38]2 years ago

7 0

Answer:

Improper fraction: 39/34

Proper fraction: 1 5/34

Decimal: 1.147 (rounded to the nearest thousandths).

Step-by-step explanation:

Solve each expression given, if it has the same result, then the expressions is equivalent. Solve the given expression:

4 7/8 ÷ 4 1/4

First, change all fractions into improper fractions:

4 7/8 = (4 * 8)/8 + 7/8 = 32/8 + 7/8 = 39/8

4 1/4 = (4 * 4)/4 + 1/4 = 16/4 + 1/4 = 17/4

Next, find common denominators. Note that what you do to the denominator, you must do the numerator:

(17/4) * (2/2) = (34/8)

39/8 ÷ 17/4

Solve. First, change the division sign into multiplication, and then flip the second fraction:

39/8 ÷ 17/4 = 39/8 x 4/17

Multiply straight across:

39/8 x 4/17 = (39 x 4)/(8 x 17) = 156/136 = 39/34 (simplified), or 1 5/34.

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Amalia is scuba diving at a position 24.25 feet below sea level. She descends 0.5 foot each minute for 25 minutes. What is Amali

Inga [223]

Answer:

36.75 feet below sea level

Step-by-step explanation:

Feet she descended in 25min

=0.5×25

=12.25

Therefore, the total feet she dived to

=12.25+24.25

=36.75

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2 years ago

What is the approximate volume of a cone with a radius of 15 cm and a height of 4 cm? Round your answer to the nearest hundredth

vichka [17]

Answer:

Volume of a cone $=942.86cm^3$

Step-by-step explanation:

Given that the radius of a cone is 15cm and its height is 4cm

That is r=15cm and h=4cm

To find the volume of a cone :

volume of a cone $=\frac{\pi r^2h}{3}$ cubic units

Now substitute the values in the formula we get

volume of a cone $=\frac{(\frac{22}{7}) (15)^2(4)}{3}$

$=\frac{(\frac{22}{7}) (225)(4)}{3}$

$=\frac{19800}{21}$

$=942.857$

Now round to nearest hundredth

$=942.86$

Therefore Volume of a cone $=942.86cm^3$

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2 years ago

The ratio of boys to girls in a school is 4:5. How many boys are in the school if there are 720 students.

scZoUnD [109]

Answer: 320 boys

Step-by-step explanation: you would first take the total number (720) and divide it by the total number shown in the ratio (5+4=9)

720/9= 80

You would then take 80 and multiply it by 4 because that is the number representing the boys

80*4= 320

7 0

2 years ago

Hera spent $16 on dinner then she spent $6 on dessert and some more on a taxi ride including the taxi fair she spent a total of

s344n2d4d5 [400]

She spent $9.

$16+$6 is $22, so the total $31 minus $22 leaves us with the $9 she spent for the taxi.

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2 years ago

Read 2 more answers

A car travels 14km in 25mins . Find out how far the car can travel in 5 hours if the speed remains the same ?

jekas [21]

<h3><u>Answer :- </u></h3>

168 km ...

<h3><u>Explanation :- </u></h3>

It is given that the car travels 14km in 25 minutes..

Now , assume that the distance the car travel in 5 hours be x..

Since 1 hour = 60 minutes..
5 hours = 300 minutes ..

• Thus , The two given statements are :-

14km -----------------> 25 minutes..
And, x km -------------> 300 minutes..

The distance travelled by car and the time taken by the car is directly proportional to each other....

$\frac{14}{25} = \frac{x}{300}$

$= x = 168km$

• Hence , Car can travel 168km in 5 hours ..

Hope this helps you :)

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1 year ago

Which expression is equivalent to 4 7/8 ÷ 4 1/4​

Which expression is equivalent to 4 7/8 ÷ 4 1/4