Step 1: Simplify both sides of the equation.
p−7=3
Step 2: Add 7 to both sides.
p−7+7=3+7
p=10
Answer: the correct options are B, D and F
Step-by-step explanation:
The equation of a straight line can be represented in the slope-intercept form, y = mx + c
Where c = intercept
m = slope = rate of change
Looking at the equations given, the three that apply are
B) slope = 7
y intercept = 4
It has a greater rate of change than a linear function with a slope of 6 and a y–intercept of 3
D) y = 9x + 1
slope = 9
y intercept = 1
It has a greater rate of change than a linear function with a slope of 6 and a y–intercept of 3
F) y = 8x + 5
slope = 8
y intercept = 5
It has a greater rate of change than a linear function with a slope of 6 and a y–intercept of 3
Answer:
30
Step-by-step explanation:
Since the question says that it took her 45 minutes per hour, you can use that to find the distance of the route she took.
45 miles: 60 minutes
15 miles: 20 minutes ----------------cross multiply (20x45 and then divide by 60)
Therefore, if she is going to use the same route in reverse, the distance would be 15 miles.
Use the formula for speed:
speed= distance/time
= 15/0.5 ---------- 0.5 hours is the same as 30 minutes
= 30
Monday = X
Tuesday = X + 3 (Problem says three more hours than he worked on Monday)
Wednesday = 2x + 1
(Problem says he worked 1 hour more than two times the number of hours on monday)
This side of the equation would be -
X + (X +3) + (2X + 1)
That's monday plus tuesday plus wednesday.
Then you would set up the other side of the equation.
This would be the total number of hours so it would be equal to monday, tuesday and wednesday combined.
2 + (5x)
Two hours more than five times the amount of Monday (X)
Now we put this together to have an equation
X + (X + 3) + (2x+ 1) = 2 + 5x
Now we need to collect like terms
4x + 4 = 2 + 5x
I just simplified the left side of the equation
Now I will subtract 4x from the left side to get all the variables on one side
4 = 2 + x
Now I subtract 2 to get the numbers both on one side
2 = x
So, Colby worked 2 hours on Monday.
Um, it should just be n + 1 because then it would be the next integer.
