Answer:
7 1/2 quart of paint
Step-by-step explanation:
To get the correct color, Johan mixed 3 1/4 quart of white paint, 1 2/4 quart of blue paint, and 2 3/4 quart of green paint. How much paint did Johan make? *
The above question is solved as:
3 1/4 quart + 1 2/4 quart + 2 3/4 quart
Lowest common denominator = 4
3 + 1 + 2 + ( 1/4 + 2/4 + 3/4)
= 6 + ( 1 + 2 + 3/4)
=( 6 + 6/4) quart
= 6 + 1 2/4 quart
= 7 2/4 quart of paint
= 7 1/2 quart of paint
Therefore, Johan made 7 1/2 quart of paint
Let A represent the amount Ann contributed, Z represent Zoe's contribution, and J represent Jim's contribution toward the present.
Ann (A): A
Zoe (Z): A = Z - 12 → Z = 12 + A
Jim (J): A = J - 16 → J = 16 + A
A + Z + J = 154
(A) + (12 + A) + (16 + A) = 154
3A + 28 = 154
3A = 126
A = 42
Ann (A): A = 42
Zoe (Z): Z = 12 + A = 12 + 42 = 54
Jim (J): J = 16 + A = 16 + 42 = 58
Answer: Ann=42, Zoe=54, Jim=58
Use the Pythagorean theorem:
Height is 14, base is 3, so we can calculate the length required.
Length = sqrt(14^2 + 3^2)
Length = sqrt( 196 + 9)
Length = sqrt(205)
Length = 14.32 feet.
The ladder needs to be 14.32 feet. The longest her ladder can be is 14 feet so her ladder won’t work.
