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.
Answer:
HCF of 120 and 180 is 60 and hence a measuring tin of 60 litre volume should be bought.
To do this, find the slope, y-intercept, and your goal.
Your goal is 500.
Your slope is 6.25 per orange.
Your y-intercept is 0 (you don't start out with anything.)
So, the inequality is
.
What question do u need help with?
Answer:
Volume of solid = 737 cm³ (Approx)
Step-by-step explanation:
Given:
Radius r = 4 cm
Length of cylinder = 12 cm
Find:
Volume of solid
Computation:
Volume of solid = Volume of hemisphere + Volume of cylinder
Volume of solid = (2/3)πr³ + πr²h
Volume of solid = (2/3)π(4)³ + π(4)²(12)
Volume of solid = 134 + 603
Volume of solid = 737 cm³ (Approx)
