Answer:
$0.75 per lemon
Step-by-step explanation:
Express the ratio on the left as a decimal:
$3/(4 lemons) = $?/lemon
0.75 $/lemon = ? $/lemon
0.75 = ?
The unit rate is $0.75 per lemon.
9514 1404 393
Answer:
JKT, JLT, KLT
Step-by-step explanation:
Each of the given bisectors is the altitude of an isosceles triangle. Those triangles are ...
JKT
JLT
KLT
100 miles/4 hours = 25 miles per hour
Answer:
5. WAX and XAZ
6. WAZ and ZAX
7. WAX and YAU
8. ZAY and YAU
Step-by-step explanation:
Complementary Angles always equal 90 degrees
Supplementary Angles always equal 180 degrees
Vertical angles are always congruent
Adjacent angles are always next to each other.
Answer:
x y^2 (11 x y - 4)
Step-by-step explanation:
Simplify the following:
4 x^2 y^3 + 2 x y^2 - 2 y - (-7 x^2 y^3 + 6 x y^2 - 2 y)
Factor y out of -7 x^2 y^3 + 6 x y^2 - 2 y:
4 x^2 y^3 + 2 x y^2 - 2 y - y (-7 x^2 y^2 + 6 x y - 2)
-y (-2 + 6 x y - 7 x^2 y^2) = 2 y - 6 x y^2 + 7 x^2 y^3:
4 x^2 y^3 + 2 x y^2 - 2 y + 2 y - 6 x y^2 + 7 x^2 y^3
Grouping like terms, 4 x^2 y^3 + 2 x y^2 - 2 y + 2 y - 6 x y^2 + 7 x^2 y^3 = (4 x^2 y^3 + 7 x^2 y^3) + (2 x y^2 - 6 x y^2) + (2 y - 2 y):
(4 x^2 y^3 + 7 x^2 y^3) + (2 x y^2 - 6 x y^2) + (2 y - 2 y)
x^2 y^3 4 + x^2 y^3 7 = 11 x^2 y^3:
11 x^2 y^3 + (2 x y^2 - 6 x y^2) + (2 y - 2 y)
x y^2 2 + x y^2 (-6) = -4 x y^2:
11 x^2 y^3 + -4 x y^2 + (2 y - 2 y)
2 y - 2 y = 0:
11 x^2 y^3 - 4 x y^2
Factor x y^2 out of 11 x^2 y^3 - 4 x y^2:
Answer: x y^2 (11 x y - 4)
