Answer:
48.6 quart of fertilizer
Step-by-step explanation:
The directions say to use 4/5 of a quart of fertilizer for each acre of land.
Alan has two fields,
Field 1
22 1/2 acre of land
1 acre of land = 4/5 quart
22 1/2 acre of land = x
Cross Multiply
x = 22 1/2 × 4/5
x = 45/2 × 4/5
x = 18 quart of fertilizer
Field 2
38 1/4 acres of land
38 1/4 acre of land = x
x = 38 1/4 × 4/5
x = 153/4 × 4/5
x = 30.6 quart of fertilizer
The total fertilizer that Alan will need for his two fields is calculated as:
18 quart of fertilizer + 30.6 quart of fertilizer
= 48.6 quart of fertilizer
On a coordinate plane, a triangle has points (negative 4, 3), (negative 4, negative 2), (1, negative 2).
The points (-4,3), (1,2) and (-4, -2) would form a right triangle when graphed and connected by lines.
(-4,3), (1,2) and (1,3) would also work as well
12 dimes and 18 nickels
Equations given by word problem:
n + d = 30
0.05n + 0.1d= 2.10
How I solved them:
d= 30 - n
0.05n + 0.1(30 - n)= 2.10
0.05n + 3 - 0.1n= 2.10
-0.05n= -.09
Divide both sides by -0.05
n= 18
18 + d = 30
d= 12
b.
a.
The two expressions are identical on each side of the equivalence symbol, therefore they are an identity.
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