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balandron [24]
3 years ago
6

Simplify the expression: –9w+–6w+10w+8w

Mathematics
1 answer:
Y_Kistochka [10]3 years ago
4 0

Final Answer: 3w

Steps/Reasons/Explanation:

It is common addition and subtraction because they all have w after the number. This means they are the same variable. A plus minus (+-) would be a minus (-).

Question: Simplify the expression: -9w +- 6w + 10w + 8w.

<u>Step 1</u>: Simplify.

-9w - 6w + 10w + 8w

<u>Step 2</u>: Simplify.

3w

~I hope I helped you :)~

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Find the greatest number that will divide 63, 45 and 69 so as to leave the same remainder.
jeka57 [31]

Answer:

6

Step-by-step explanation:

Let n be unknown divisor and a be the same remainder, then

63=q_1\cdot n+a\\ \\45=q_2\cdot n+a\\ \\69=q_3\cdot n+a

Subtract a from all equalities:

63-a=q_1\cdot n\\ \\45-a=q_2\cdot n\\ \\69-a=q_3\cdot n

Subtract them:

63-45=(q_1-q_2)n\Rightarrow 18=(q_1-q_2)n\\ \\69-63=(q_3-q_1)n\Rightarrow 6=(q_3-q_1)n\\ \\69-45=(q_3-q_2)n\Rightarrow 24=(q_3-q_2)n

The greatest number is 6. When you divide numbers 63, 45, 69 by 6, you'll get remainders 3, 3, 3, respectively.

7 0
3 years ago
Write the equation for the line whose slope is -1/4 and goes through the point (-2,6)​
Kryger [21]

Answer:

y = -\frac{1}{4} + \frac{11}{2}

Step-by-step explanation:

use y = mx + b where:

y = y-coordinate = 6

m = slope = -1/4

x = x-coordinate = -2

b = y-intercept = what we're solving for to complete the equation

plug the values into the equation

6 = -\frac{1}{4}(-2) + b               multiply -\frac{1}{4} and 2

6 = \frac{1}{2} + b                         subtract \frac{1}{2} from both sides

b = \frac{11}{2}

now we plug m and b into the equation and leave x and y as variables to get the final equation:

y = -\frac{1}{4} + \frac{11}{2}

8 0
3 years ago
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