Answer:
After 2.5 minutes the pool will have 27 gallons of water.
Step-by-step explanation:
The pool has already 12 gallons of water and Eric wants to fill it to at least 27 gallons.
The water is flowing at a rate of 6 gallons per minute.
Let, after t minutes the pool will have at least 27 gallons of water.
Therefore, we can write the equation as
27 = 12 + 6t
⇒ 6t = 15
⇒ t = 2.5 minutes.
Therefore, after 2.5 minutes the pool will have 27 gallons of water. (Answer)
Answer: the cost of each pencil is $0.5
the cost of each eraser is $0.15
Step-by-step explanation:
Let x represent the cost of one pencil.
Let y represent the cost of one eraser.
Becky spent $1.45 for 2 pencils and 3 erasers. This means that
2x + 3y = 1.45- - - - - - - - - -1
Luke spent $2.65 for 5 pencils and 1 eraser. This means that
5x + y = 2.65- - - - - - - - - -2
Multiplying equation 1 by 1 and equation 2 by 3, it becomes
2x + 3y = 1.45
15x + 3y = 7.95
Subtracting, it becomes
- 13x = - 6.5
x = - 6.5/- 13
x = 0.5
Substituting x = 0.5 into equation 2, it becomes
5 × 0.5 + y = 2.65
2.5 + y = 2.65
y = 2.65 - 2.5
y = 0.15
Answer:
x=3 and y=12
Step-by-step explanation:
equation:1
equation:2
Solving equation:1 for 'y' in terms of x
equation:3
Putting 'y' in equation:2 which will make the equation of the single variable
Putting value of 'x' in equation:3 to find 'y'
Answer:
y-intercept (0, -47/8)
Step-by-step explanation:
Point slope equation form:
y + 7 = -1/8(x - 9)
y + 7 = -1/8 x + 9/8
y = -1/8 x + 9/8 - 56/8
y = -1/8 x - 47/8
y = mx + b where m=slope and b = y intercept
In this case, y intercept = -47/8
Answer:
y-intercept (0, -47/8)
Answer:
Domain: {-5,-1,3} and Range: {3,0,-4,2}
Step-by-step explanation:
Just take my word for it please.
