Let us evaluate each pair of expressions one at a time.
8. (n²+4) - n² and 4n.
(n²+4) - n² = n²+ 4 - n² = 4 which is not equal to 4n.
NOT EQUIVALENT
9. 3x + 5 and 2(x + 3)
2(x + 3) = 2x + 6 which is not equal to 3x + 5.
NOT EQUIVALENT
10. 15 - 6x and 15(1 - 6x)
15(1 - 6x) = 15 - 90x which is not equal to 15 - 6x
NOT EQUVALENT
11. (y + y + 2 + y) + 3y and 6y + 2
(y +y +2 + y) + 3y = y+y+y +2 + 3y = 3y + 2 + 3y = 6y + 2.
It matches the other expression.
EQUIVALENT
12. 8y - 3 + 10y and 3(6 - 1)
8y - 3 + 10y = 8y + 10y - 3 = 18y - 3
3(6 - 1) = 3(5) = 15
The two expressions do not match.
NOT EQUIVALENT.
Answer: Only the expressions in number 11 are equivalent.
I will try to solve your system of equations.
y=22;−10x+15y=−10
Step: Solvey=22for y:
Step: Substitute22foryin−10x+15y=−10:
−10x+15y=−10
−10x+(15)(22)=−10
−10x+330=−10(Simplify both sides of the equation)
−10x+330+−330=−10+−330(Add -330 to both sides)
−10x=−340
−10x
−10
=
−340
−10
(Divide both sides by -10)
x=34
Answer:
y=22 and x=34Answer:
Step-by-step explanation:
Your answer should be 486 inches, you do 9x9 to find the area of one of the faces, and because there is 6 faces, you multiply that answer (81) to get 486
Answer:
66
Step-by-step explanation:
Answer:
28
Step-by-step explanation:
Let x be the number of capsules on the Singapore Flyer.
Each capsule can carry x passengers.
Therefore x^2 = 784.
x = 28