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3 years ago

Convert 7 3/4 to improper fraction

Mathematics

1 answer:

Anvisha [2.4K]3 years ago

3 0

Answer: 31/4

Step-by-step explanation:

The 7 is basically the fraction has been 4/4 7 times, and the 3 means that after that we have 3 left over. So we do:

7×4=28

Then since we have 3 left over:

28+3=31

So the fraction would be 31/4

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Please help!!!!!!! im so confused lol

pav-90 [236]

Answer:

a : c = 7 : 10

Step-by-step explanation:

The two ratios (a : b and b : c) both have b in common, so to work out what a : c is, we can use b to 'bridge' the two ratios together.

However, in a : b, b is 4. But in b : c, b is 2. We need to make sure b is the same in both ratios before we can combine the ratios together. The easiest way to do this is to multiply b : c by 2 to get b : c = 4 : 10. Now b is 4 in both ratios.

So now, we can combine the two ratios together to get a : b : c = 7 : 4 : 10. Since we only want a : c though, we can just drop the b and get a : c = 7 : 10. No simplifying is necessary since the ratio is already in its simplest form.

Hope that helps! :)

5 0

3 years ago

What does c equal in thus equation I don't know for the life of me help is deeply appreciated 4(3+c)+c=c+4

Shkiper50 [21]

Answer:

-2

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

4(3+c)+c=c+4

(4)(3)+(4)(c)+c=c+4(Distribute)

12+4c+c=c+4

(4c+c)+(12)=c+4(Combine Like Terms)

5c+12=c+4

Step 2: Subtract c from both sides.

5c+12−c=c+4−c

4c+12=4

Step 3: Subtract 12 from both sides.

4c+12−12=4−12

4c=−8

Step 4: Divide both sides by 4.

−8

c=−2

5 0

3 years ago

Can someone please help with this question due in 5 minutes (ASAP)

tamaranim1 [39]

Answer:

62.4 cm squared

Step-by-step explanation:

8^2-4^2=48

The square root of 48 is 6.928

7*2.928=48.497

(6.928*4)/2=13.856

48.497+13.856= 62.353 or 62.4

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3 years ago

PLS HELP ME WITH FINDING THE VOLUME OF THIS SOLID

Fofino [41]

Lwh = (3+3+6) (4) (7)

12 x 4 x 7 = 336

3 0

3 years ago

Consider a sample with data values of 27, 24, 21, 16, 30, 33, 28, and 24. Compute the 20th, 25th, 65th, and 75th percentiles. 20

densk [106]

Answer:

$P_{20} = 20$ --- 20th percentile

$P_{25} = 21.75$ --- 25th percentile

$P_{65} = 27.85$ --- 65th percentile

$P_{75} = 29.5$ --- 75th percentile

Step-by-step explanation:

Given

27, 24, 21, 16, 30, 33, 28, and 24.

N = 8

First, arrange the data in ascending order:

Arranged data: 16, 21, 24, 24, 27, 28, 30, 33

Solving (a): The 20th percentile

This is calculated as:

$P_{20} = 20 * \frac{N +1}{100}$

$P_{20} = 20 * \frac{8 +1}{100}$

$P_{20} = 20 * \frac{9}{100}$

$P_{20} = \frac{20 * 9}{100}$

$P_{20} = \frac{180}{100}$

$P_{20} = 1.8th\ item$

This is then calculated as:

$P_{20} = 1st\ Item +0.8(2nd\ Item - 1st\ Item)$

$P_{20} = 16 + 0.8*(21 - 16)$

$P_{20} = 16 + 0.8*5$

$P_{20} = 16 + 4$

$P_{20} = 20$

Solving (b): The 25th percentile

This is calculated as:

$P_{25} = 25 * \frac{N +1}{100}$

$P_{25} = 25 * \frac{8 +1}{100}$

$P_{25} = 25 * \frac{9}{100}$

$P_{25} = \frac{25 * 9}{100}$

$P_{25} = \frac{225}{100}$

$P_{25} = 2.25\ th$

This is then calculated as:

$P_{25} = 2nd\ item + 0.25(3rd\ item-2nd\ item)$

$P_{25} = 21 + 0.25(24-21)$

$P_{25} = 21 + 0.25(3)$

$P_{25} = 21 + 0.75$

$P_{25} = 21.75$

Solving (c): The 65th percentile

This is calculated as:

$P_{65} = 65 * \frac{N +1}{100}$

$P_{65} = 65 * \frac{8 +1}{100}$

$P_{65} = 65 * \frac{9}{100}$

$P_{65} = \frac{65 * 9}{100}$

$P_{65} = \frac{585}{100}$

$P_{65} = 5.85\th$

This is then calculated as:

$P_{65} = 5th + 0.85(6th - 5th)$

$P_{65} = 27 + 0.85(28 - 27)$

$P_{65} = 27 + 0.85(1)$

$P_{65} = 27 + 0.85$

$P_{65} = 27.85$

Solving (d): The 75th percentile

This is calculated as:

$P_{75} = 75 * \frac{N +1}{100}$

$P_{75} = 75 * \frac{8 +1}{100}$

$P_{75} = 75 * \frac{9}{100}$

$P_{75} = \frac{75 * 9}{100}$

$P_{75} = \frac{675}{100}$

$P_{75} = 6.75th$

This is then calculated as:

$P_{75} = 6th + 0.75(7th - 6th)$

$P_{75} = 28 + 0.75(30- 28)$

$P_{75} = 28 + 0.75(2)$

$P_{75} = 28 + 1.5$

$P_{75} = 29.5$

7 0

3 years ago

Convert 7 3/4 to improper fraction​

Convert 7 3/4 to improper fraction