So multiplying by a fraction a/b is the same as dividing by the fraction b/a (it's just the original fraction flipped upside down)
so 8/10 * -3/4 is the same as 8/10 / 4/-3
Answer:
He spent on 16 minutes
Step-by-step explanation:
Given

per minute

Required
Determine the number of minutes
Let the number of minutes be n
<em>If 1 minute costs $0.5</em>
<em>n minutes would cost $0.5n</em>
The relationship between the given parameters is

Substitute values for each of the above

Solve for 0.5n


Solve for n


<em>He spent on 16 minutes</em>
Answer:
x = 0
y = 1
Step-by-step explanation:
y = 4x + 1 -------eqn 1
y = x + 1 -------eqn 2
Looking for x, let's use eqn 1
y = 4x + 1
4x = y - 1
Divide both sides by 4, to get x
4x/4 = (y - 1) / 4
x = (y - 1) / 4
Substitute the value of x into eqn 2
y = x + 1
y = (y - 1) / 4 + 1
LCM = 4
y =( y - 1 + 4)/4
y =( y + 3) / 4
Cross multiply
y * 4 = y + 3
4y = y + 3
4y - y = 3
3y = 3
Divide both sides by 3, to get y
3y / 3 = 3/3
y = 1
Substitute y = 1 , into eqn 1
y = 4x + 1
1 = 4x + 1
1 -1 = 4x
0 = 4x
Divide both sides by 4, to get x
0/4 = 4x/4
0 = x
x = 0
Hint, let's check if the values are correct
Let's pick eqn 2
y = x + 1
y = 1
x = 0
1 = 0 + 1
1 = 1
Correct
Let's try the eqn 1
y = 4x + 1
1 = 4(0) + 1
1 = 0 + 1
1 = 1
Correct too
$55+$40=95 for 1 hr
95x2=$190
so she came for 2 hrs
I would recommend taking a picture of the instructions because I am not sure if you need to find the equation of the line that is parallel or perpendicular, so I will do both.
1. (3 , 2); y = 3x - 2
If the line is parallel to the given equation, the slopes have to be the SAME, so the slope(m) is 3
y = mx + b
y = 3x + b
To find b you plug in the point (3, 2) into the equation
2 = 3(3) + b
2 = 9 + b
-7 = b
The equation of the line that is parallel to the given equation is:
y = 3x - 7
To find the equation of the line that is perpendicular to the given equation, the slope has to be the exact opposite of the given slope. (you flip the sign and the number of the given slope to get the perpendicular line's slope)
The given slope is 3, the perpendicular slope is 
y = mx + b

To find b, you plug in the point (3 , 2) into the equation

2 = -1 + b
3 = b
The equation of the line perpendicular to the given equation is:
