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levacccp [35]
3 years ago
11

Donnel practiced the piano 3 hours longer than Marcus. Together they practiced the piano for 11 hours. How many hours did each b

oy practice??
Mathematics
1 answer:
andriy [413]3 years ago
4 0
Here is the equation: x+(x+3)=11 ⇒x+x+3=11


You need to get "x" by itself so minus 3 from each side

x+x+3-3=11-3 ⇒ x+x=8 ⇒ 2x=8

Divide 8 by 2

8 ÷ 2=4

x=4

So each 4 is equivalent to 4 

Lets check:

4+(4+3)=11 ⇒ 4+4+3=11 ⇒ 11=11

So that means that Marcus practiced the piano for 4 hours and Donnel practiced for 7 
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Explain how to find the estimated sum of <br><br><br> 5<br> 8<br> +<br> 2<br> 9<br> .
mina [271]

The estimated sum of the numbers fifty-eight (58) and twenty-nine (29) is equal to ninety (90).

<h3>What is the difference between a regular sum and an estimated sum?</h3>

In an estimated sum, the numbers are rounded; on the other hand, in a regular sum, the numbers are not changed.

<h3>What is the estimated sum of 58 and 29?</h3>

1. Round the numbers:

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URGENT!! The difference between the roots of the quadratic equation x2−12x+q=0 is 2. Find q
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x2 - 12x + q = 0

Let the two roots be r and r+2.

Factor the quadratic expression:

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Expand, simplify, group like terms, and get

x2 - 2(r + 1)x + r(r + 2) = 0

Compare to

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and set equal the coefficients of like terms:

Coefficient of x:

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Test the solution:

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With two roots differing by 2, you get an equation of the form

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I hope this helps you




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