We used the elimination method to find the ordered pair, (x,y), that represents the situation is (12,39).
Number of invoices = 51
Charge for tree installation = $375
Charge for tree trimming = $54
Total amount in invoices = $6,606
Let x and y represent number of installations and number of trimmings respectively.
Hence,
x + y = 51 ...(1)
375x + 54y = 6606
3 (125x + 18y) = 3*2202
125x + 18y = 2202 ...(2)
Multiplying (1) by 18, we get
18x + 18y = 918 ...(3)
(2) - (3)
107x + 0 = 1284
x = 1284/107 = 12
Hence,
y = 51 - 12 = 39.
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Answer:
It took 1.2 hours to get to the store
Step-by-step explanation:
Let the time taken to reach the store be t₁
Let the time taken to come back be t₂
Let the speed to and from store = s₁ and s₂ respectively
let the distance to the store = d
To the store:
Back from the store:
We are told that total time (t₁ + t₂) = 2 hours
t₁ + t₂ = eqn (1) + eqn (2)
∴ length of trip to the store = t₁
from eqn (1)
To find the area of a rectangle, multiple the width by the length.
(And simply the fractions for a simpler equation)
For piece A:
The length 1 and 3/5 can be turned into an improper fraction by multiplying 1 by the denominator (5) and adding it to the numerator (3). 1 and 3/5 = 8/5
(3/4) • (8/5) = area
Multiple the numerators with each other and the denominators with each other (3 times 8 = 24) (4 times 5 = 20)
The area of piece A is 24/20
If you do the same for piece B:
(2/5) • (21/8) = area
The answer is 42/40
15/x=75/100
15/x=3/4
times 4x both sides
4*15=3x
60=3x
divide both sides by 3
20=x
Answer: a
Step-by-step explanation:
