Answer:
y = 1/2x + 4
Step-by-step explanation:
Use the formula for the equation of a line.
y = mx + b
Where m is the slope, and b is the y-intercept.
The slope is given.
y = 1/2x + b
The points (x, y) are given.
(4, 6)
Put y as 6 and x as 4, solve for b.
6 = 1/2(4) + b
6 = 2 + b
6 - 2 = b
4 = b
The y-intercept is 4 or (0, 4).
The equation of the line is y = 1/2x + 4.
P(B) = 0.75.
For independent events, P(A and B) = P(A)*P(B). This gives us
1/8 = 1/6(x)
Divide both sides by 1/6:
1/8 ÷ 1/6 = x
1/8 × 6/1 = x
6/8 = x
3/4 = x
0.75 = x
Answer:
15%
Step-by-step explanation:
60/400 = 15/100 (I divided the numerator and denominator by 4 get the denominator 100, so we can find the percentage easily).
15/100 = 15%
Answer:
Step-by-step explanation:
Ryan works mowing lawns and babysitting. He earns $8.20 an hour for mowing and $7.70 an hour for babysitting. Therefore, the expression for the total amount that he would earn if he mows lawns for x hours and babysits for y hours would be
8.2x + 7.7y
Therefore, the amount that he would earn for 3 hours of mowing and 7hours of babysitting is
(8.2 × 3) + (7.7 × 7)
= 24.8 + 53.9
= $78.7
