Answer:
3/8
Step-by-step explanation:
3 1/3 = 10/3
1 1/4 = 5/4
Remember when dividing by a fraction you can also multiply by its reciprocal meaning flip the numerator and denominator.
so
(3 1/3) / (1 1/4) = (10/3) / (5/4) = (10/3) x (4/5) which is the same as (3/10) x (5/4)
= (3 x 5) / (10 x 4) = 15 / 40
the numerator and denominator have a common factor of 5 so divide the numerator and denominator by 5
15 / 40 = 3/8
We first find the lines of the motion of each truck, then calculate its intercept.
Garbage truck:
m = (12 - 4) / (5 - 3)
m = 4
4 - y = 4(3 - x)
4x - y = 8
Dump truck:
m = (33 + 3) / (-4 - 5)
m = -4
33 - y = -4(-4 - x)
4x + y = 17
Adding the two equations to solve them, we get:
8x = 25
x = 25 / 8
y = 17 - 4(25/8)
y = 17 - 25/2
y = 9/2
The trucks' point of intersection is (25/8,9/2)
Let S represent the cost of use of Silver Gym for a month.
Let F represent the cost of use of Fit Factor for a month.
Let T represent the number of training sessions used in the month.
S = 45 +25T
F = 75 +15T
We want to find T so the costs are equal.
.. S = F
.. 45 +25T = 75 +15T
.. 10T = 30 . . . . . . . . . subtract 45+15T
.. T = 3 . . . . . . . . . . . . divide by 10
Sarah would have to buy 3 training sessions to make the cost at the two gyms equal.
Answer:
c
Step-by-step explanation:
when its exponents it will add
Answer:
Step-by-step explanation:
Use the point-slope formula by the line
y - y_1 = m(x - x_1) when x_1 =8 and y_1 = -2 m : is the slope (same slope for the line whose equation is 3x + 4y = 15 because are parallel)
calculate : m
3x + 4y = 15
4y = -3x +15
y = (-3/4)x +15/4 so m = -3/4
an equation is : y +2 =(-3/4)(x-8)
