Answer:
m = -1/6.
b = 5.
Step-by-step explanation:
Slope m = (3 - 6) / (12 - -6)
= -3 / 18
= -1/6.
y = -1/6 x + b
when x = 12 y = 3 so
3 = -1/6 * 12 + b
b = 3 + 2 = 5.
Answer:
Carla ran 0.1 miles per minute.
Step-by-step explanation:
To solve this, we need to use the distance formula.
The formula is d=rt, where d is the distance traveled, r is the rate in which the distance is traveled, and t is the amount of time it took to go that distance. So lets plug it all in.
d=rt
3=(r)(30)
Now, we need to do the inverse of multiplying 30 to both sides, which would be the same as dividing by 30 on both sides.
3/30=(r)(30/30)
0.1=r
The rate is 0.1. Carla ran 0.1 miles per minute.
3x^2 = 7x - 3
3x^2 - 7x = -3
x^2 - 7/3x = -1
x^2 - 7/3x + 49/36 = -1 + 49/36 = 13/36
(x - 7/6)^2 = 13/36
x - 7/6 = + or - sqrt(13)/6
x = 7/6 + or - sqrt(13)/6
x = (7 + or - sqrt(13))/6
6.25 hours of overtime.
17.00×1.5=$25.50 per hour
17.00×40=$680
839.38-680=$159.38
$159.38÷25.50=6.25
The easiest way to solve for this is to first find out how many he has sold right now. The way to find it is to divide the total amount of money (301) by the amount of each cup. (301/3.50) That should be equal to 86 cups. Now, you want to find the rest he needs to sell. The easiest way is to divide the number you want (371) by the number of each cup (371/3.50) That should be equal to 106. Since you want to know how many more he needs to sell you now need to subtract them. (106-86) That is equal to your answer, 20.
