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3 years ago

9

Sam finished 5/6 of his homework, John finished 3/4 of his homework, and Tom finished 10/12 of his homework. Which two students

finished the same amount of homework?

1 answer:

Anika [276]3 years ago

7 0

Answer:

Sam and Tom

Step-by-step explanation:

5 × 2= 10

6 × 2= 12

5/6= 10/12

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What is the difference?

Serhud [2]

Answer:

The option $\frac{(x+5)(x+2)}{x^3-9x}$ is correct

The difference of the given expression is

$\frac{2x+5}{x^2-3x}-(\frac{3x+5}{x^3-9x})-({\frac{x+1}{x^2-9})=\frac{(x+5)(x+2)}{x^3-9x}$

Step-by-step explanation:

Given expression is $\frac{2x+5}{x^2-3x}-(\frac{3x+5}{x^3-9x})-({\frac{x+1}{x^2-9})$

To find the difference of the given expression as below :

$\frac{2x+5}{x^2-3x}-(\frac{3x+5}{x^3-9x})-({\frac{x+1}{x^2-9})$

$=\frac{2x+5}{x(x-3)}-(\frac{3x+5}{x(x^2-9)})-({\frac{x+1}{x^2-9})$

$=\frac{2x+5}{x(x-3)}-(\frac{3x+5}{x(x^2-3^2)})-({\frac{x+1}{x^2-3^2})$

$=\frac{2x+5}{x(x-3)}-(\frac{3x+5}{x(x-3)(x+3)})-({\frac{x+1}{(x-3)(x+3)})$

( using the formula $a^2-b^2=(a+b)(a-b)$ )

$=\frac{2x+5(x+3)-(3x+5)-x(x+1)}{x(x-3)(x+3)}$

$=\frac{2x^2+6x+5x+15-3x-5-x^2-x}{x(x-3)(x+3)}$ (adding the like terms)

$=\frac{x^2+7x+10}{x(x^2-9)}$ ( by factoring the quadratic polynomial )

$=\frac{(x+5)(x+2)}{x^3-9x}$

Therefore $\frac{2x+5}{x^2-3x}-(\frac{3x+5}{x^3-9x})-({\frac{x+1}{x^2-9})=\frac{(x+5)(x+2)}{x^3-9x}$

Therefore the difference of the given expression is

$\frac{(x+5)(x+2)}{x^3-9x}$

Therefore option $\frac{(x+5)(x+2)}{x^3-9x}$ is correct

8 0

3 years ago

What’s the equation for<br><br> 3/9 + 2/3

Katyanochek1 [597]

Answer:

1

Step-by-step explanation:

3/9 + 2/3

Simplify the first fraction by dividing the top and bottom by 3

1/3 + 2/3

Since the denominators are the same, add the numerators

3/3

1

4 0

3 years ago

Meenu bought two fans for ₹1200 each. She sold one at a loss of 5% and the other at a profit of 10%. Find the selling price of e

Vinvika [58]

<h3><u>Solution: </u></h3>

Overall<u> </u>CP of each fan = ₹1200 .

One is sold at a loss of 5% .

( This means if CP is ₹100, SP is ₹95 ) .

• Therefore,When CP is ₹1200 , Then SP is ₹ 1140.

$= > \frac{95}{100} \times 1200 = 1140$

Also,Second fan is sold at a profit of 10% .

It means , If CP is ₹100 , SP is ₹110.

Therefore , When CP is ₹1200 , Then SP is ₹1320.

<u>• We need to find the combined CP and SP to say whether there was an overall profit or Loss.</u><u>.</u>

Total CP = ₹ 1200 + ₹ 1200 = ₹ 2400.
Total SP = ₹ 1140 + ₹ 1320 = ₹ 2460.

Since total SP > total CP , A profit of ₹ ( 2460 - 2400 ) or ₹60 has been made ..

<h3>Hope this helps you :)</h3>

4 0

3 years ago

A bag contains 11 red chips and 12 blue chips. Two chips are selected randomly without replacement from the bag. What is the pro

Elena-2011 [213]

Answer:

11/23 or 0.478

Step-by-step explanation:

1. Find the probability of selecting 2 red chips:

11/23 * 10/22 = 5/23

2. Find the probability of selecting 2 blue chips:

12/23 * 11/22 = 6/23

3. Add the two probabilities:

5/23 + 6/23 = 11/23 = 0.478 (rounded to 3 decimal places)

hope this helps! <3

4 0

2 years ago

Find the volume of a right circular cone that has a height of 2.4 in and a base with a

mafiozo [28]

Answer:

282.4

Step-by-step explanation:

V=1/3 pi Bh where B is the area of the base and h is the height

V=1/3 (3.14159)(10.6)^2(2.4)=282.4

5 0

3 years ago

Read 2 more answers