Answer:
$1.95
Step-by-step explanation:
notebook = n
pencil = p
3n + 2p = 5.10
2n + 3p = 4.65
multiply top equation by 2 and bottom by 3
6n + 4p = 10.20
6n +9p = 13.95
subtract bottom equation from the top equation
-5p = -3.75
divide by 5, negatives cancel out
p = 0.75
sub p into either equation, I chose the original top equation
3n + 2(0.75) = 5.10
3n + 1.50 = 5.10
subtract 1.50 from both sides
3n = 3.60
divide both sides by 3
n = 1.20
p = 0.75
n + p = 1.95 (the fourth option)
Answer:
91.42 crates
Step-by-step explanation:
Let
Greatest Number of 140kg crates = x
weight of crate = 140-kilogram
Weight of other shipment = 13200 kilograms
greatest weight of container = 26000 kilograms
Weight of other shipment + (weight of crate * number of crates) ≤ greatest weight of container
13,200 + 140x ≤ 26,000
140x ≤ 26,000 - 13,200
140x ≤ 12,800
x ≤ 12,800/140
x ≤ 91.42 kilograms
Greatest Number of 140kg crates = 91.42 crates
Answer:
(3 + 4 + 5 + 7 + 10 + 12 + 15)/7 = 8
(3^2 + 4^2 + 5^2 + 7^2 + 10^2 + 12^2 + 15^2)/7 - 8^2 = 17.14285714
