3 1 10
------ + --------------- = ----------
3x x +4 7x
1 1 10
------ + ------------ = ----------
x x +4 7x
x + 4 + x 10
------------------ = ----------
x(x +4) 7x
2x + 4 10
------------------ = ----------
x(x +4) 7x
7x(2x + 4) = 10x(x+4)
14x^2 + 28x = 10x^2 + 40x
4x^2 - 12x = 0
4x(x - 3) = 0
4x = 0
x = 0
x - 3 = 0
x = 3
answer x = 0 and x = 3
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➷ A) (2/7 x 2/7) + (2/7 x 5/7) + (5/7 x 2/7) =
4/49 + 10/49 + 10/49 = 24/49 <== this is the answer
B) (2/7 x 1/6) + (2/7 x 5/6) + (5/7 x 2/6) -
2/42 + 10/42 + 10/42 = 22/42 <== this is the answer
The second answer could be simplified to 11/21 (only write this answer if it wants the simplified version, otherwise write the one above)
<h3><u>
✽</u></h3>
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They will need 2 5/12 more pounds to reach their goal.
<h3>Sum and difference of fractions</h3>
Given the following information as shown:
- Amount Blake collected = 6 1/3 pounds
- Amount his brother collected = 5 3/4 pounds
If their goal is to collect 14 1/2 pounds of food by the end of the month, the remaining food they need to collect will be expressed as:
y =14 1/2 - (6 1/3 + 5 3/4)
y = 14 1/2 - (19/3 + 23/4)
y = 29/2 - (76+69/12)
y = 29/2 - (145/12)
y = 174-145/12
y = 29/12
y = 2 5/12
Hence they will need 2 5/12 more pounds to reach their goal.
Learn more on sum and difference of fractions here: brainly.com/question/24205483
