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svetoff [14.1K]
3 years ago
6

Apply the distributive property to factor out the greatest common factor of all three terms. {10a - 25 + 5b} =10a−25+5b =

Mathematics
1 answer:
Rom4ik [11]3 years ago
8 0

Answer:

5(2a -5 + b)

Step-by-step explanation:

(10a - 25 + 5b) = 5( 2a - 5 + b)

5(b +  2a  - 5) = 5(2a - 5 + b)

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Anestetic [448]

Solve for K by simplifying both sides of the equation, then isolate the variable.

K = 193

4 0
3 years ago
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10x-5 9x+2 is my equation and I don’t know how to solve it I really need help,someone please help me solve it.
Ostrovityanka [42]

9514 1404 393

Answer:

  x = 7

Step-by-step explanation:

You solve a linear equation by putting the variable on one side of the equal sign and a constant on the other side. Here, variables and constants are on both sides of the equal sign, so you need to separate them.

The basic idea is that you add the opposite of any term you don't want. Whenever you perform any operation (like "add"), <em>you must do it to both sides of the equation</em>.

We observe that x-terms have coefficients of 10 and 9. We choose to add the opposite of 9x to both sides:

  10 -9x -5 = 9x -9x +2

  x -5 = 2 . . . . simplify

Now, we still have -5 on the left, where we don't want it. So, we add its opposite (+5) to both sides:

  x -5 +5 = 2 +5

  x = 7 . . . . simplify

The solution is x = 7.

_____

<em>Additional comment</em>

If we were to end up with an x-coefficient other than 1, we would divide both sides of the equation by that coefficient. This will leave the x-term with a coefficient of 1.

8 0
2 years ago
Which of the following rational functions is graphed below?
Zepler [3.9K]

Answer:

  D.  F(x) = 1/(x +5)²

Step-by-step explanation:

The vertical asymptote at x=-5 tells you that x=-5 will be a zero of the denominator. The only equation with a denominator factor of (x+5) is ...

  F(x) = 1/(x +5)²

_____

<em>Additional comment</em>

The fact that the value of F(x) does not change sign at the vertical asymptote tells you the denominator factor will be of even degree. That is taken for granted here, as all denominators are squares in the answer choices.

3 0
2 years ago
Tim Hortons is hiring and offers $200 every week plus $5 per hour. McDonalds offers $300 every week plus $2 per hour. State the
Bogdan [553]

Answer: After working for 33 \frac{1}{3} hours a week

Step-by-step explanation:

     Let us write equations to represent these two places. Let x be hours worked and y be money earned.

   Tim Hortons:

$200 + $5x = y

    McDonalds:

$300 + $2x = y

    Now, to find the conditions of which Tim Hortons is the better employer (on the basis of money earned) we must find the interval that Tim Hortons pays more. This can be found by setting up another equation, or by graphing. I have shown both. <em>See attached for the graph</em>.

$200 + $5x > $300 + $2x

$5x > $100 + $2x

$3x > $100

x > \frac{100}{3}

x > 33.3334

    Tim Hortons is the better employer after an employee has worked for 33 \frac{1}{3} hours a week.

<em>Read more about </em><em>this question</em><em> here:</em>

<em>brainly.com/question/24206551</em>

8 0
2 years ago
Ava, Grace, Jayden, and Zoe together stacked a total of 50 brownies on a tray. Ava stacked 0.14 of the brownies, Grace stacked 4
OLEGan [10]

1. Zoe stacked the most brownies. She stacked 27 brownies out of the 50 brownies.

2. 15

3. 43 + 3n ≥ 70, so n ≥ 9

4. D. 58x + 13 + 58y

5. The answer would be ≤4

6. 9.94 + 10.01p ≤ 70, so p ≤ 6

7. C 40 89

8.  D. x+(x+5)=77

Hope I helped you! Please consider marking my answer the brainliest :)

4 0
3 years ago
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