No, -8 - 2(3 + 2n) + 7n is not equivalent to -30 - 13n
Step-by-step explanation:
Let us revise the operation of the negative and positive numbers
- (-) + (-) = (-)
- (-) × (-) = (+)
- (-) + (+) = the sign of greatest [(-) if the greatest is (-) or (+) if the greatest is (+)]
- (-) × (+) = (-)
- (-) - (+) = (-)
- (+) - (-) = (+)
∵ The expression is -8 - 2(3 + 2n) + 7n
- Simplify it
∵ 2(3 + 2n) = 2(3) + 2(2n) = 6 + 4n
∴ -8 - 2(3 + 2n) + 7n = -8 - (6 + 4n) + 7n
- Multiply the bracket by (-)
∴ -8 - (6 + 4n) + 7n = -8 - 6 - 4n + 7n
- Add the like terms
∴ -8 - (6 + 4n) + 7n = (-8 - 6) - 4n + 7n
∴ -8 - (6 + 4n) + 7n = -14 + 3n
∴ -8 - 2(3 + 2n) + 7n is equivalent to -14 + 3n
∵ -14 + 3n ≠ -30 - 13n
∴ -8 - 2(3 + 2n) + 7n is not equivalent to -30 - 13n
No, -8 - 2(3 + 2n) + 7n is not equivalent to -30 - 13n
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Answer:
x = 15
Step-by-step explanation:
20^2 + x^2 = 25^2
400 + x^2 = 625
subtract each side 400
it results to 225
square root 225, to equals this -->
X = 15
Answer:
12cm
Step-by-step explanation:
Answer:
there would be 5 girls, boys 1; girl 1.25
Step-by-step explanation:
there are 1.25 girls for every boy
Answer:
<h3>X=18</h3>
Step-by-step explanation:
Isolate x on one side of the equation.
<u><em>DISTRIBUTIVE PROPERTY:</em></u>
A(B+C)=AB+AC
A(B-C)=AB-AC
2(3x – 4) + 10 = 5(x + 4)
2(3x-4)+10 (First, expand by using distributive property.)
2*3x=6x
2*4=8
6x-8
6x-8+10
-8+10 (Add and subtract.)
-8+10=2
6x+2
5(x+4)
5*x=5x
5*4=20
5x+20
6x+2=5x+20
6x+2-2=5x+20-2 (Subtract 2 from both sides.)
20-2 (Solve.)
20-2=18
6x=5x+18
6x-5x=5x+18-5x (Then, subtract 5x from both sides.)
18-5x (Solve.)
18-5x=18
x=18
So, the correct answer is x=18.
