Answer:
Weight of large box = 18.75 kg
Weight of small box = 6.5 kg
Step-by-step explanation:
a fruit company delivers its fruit in two types of boxes : large and small. a delivery of 6 large boxes and 5 small boxes has a total weight of 145 kilograms. A delivery of 2 large boxes and 3 small boxes has a total weight of 57 kilograms. how much does each type of box weigh?
Let
Weight of large box = x
Weight of small box = y
6x + 5y = 145 (1)
2x + 3y = 57 (2)
Multiply (2) by 3
6x + 9y = 171 (3)
6x + 5y = 145 (1)
Subtract (1) from (3)
9y - 5y = 171 - 145
4y = 26
y = 6.5 kg
Substitute y = 6.5 kg into (2)
2x + 3y = 57
2x + 3(6.5) = 57
2x + 19.5 = 57
2x = 57 - 19.5
2x = 37.5
x = 37.5/2
x = 18.75 kg
Weight of large box = 18.75 kg
Weight of small box = 6.5 kg
Answer:
[-5, 4) ∪ (4, ∞)
Step-by-step explanation:
Given functions:
Composite function:
Domain: input values (x-values)
For to be defined:
Therefore, and
⇒ [-5, 4) ∪ (4, ∞)
April mows 4/8 of an acre of grass per hour
I got this answer because I divided 45÷3 and got 15. So, I know that 15×4=60 and in minutes that equals a hour. I changed 3/8 to 4/8 since it was multiplying 4×15 instead of 3×15.
Answer:
1m = 100 cm
First sprinter stride is 120 cm. Steps he will take
= 100/1.2 = 83 1/3 steps
Second sprinter takes a stride of 75 cm
= 100/0.75 = 133 1/3 steps