Answer:
85
Step-by-step explanation:
x+2x+5=125
3x+5=125
3x=120
x=40 in the morning
85 in the afternoon
C Bill drove at a rate that was 10 mph faster than the rate Kevin drove
Answer: 200 minutes have to be used for the costs of both plans to be the same.
Step-by-step explanation:
Let x represent the number of minutes that have to be used for the costs of both plans to be the same.
Package A is $35.00 per month with an additional charge of $0.15 per minute for long distance. This means that the cost of using package A for x minutes in a month would be
35 + 0.15x
Package B is $45.00 per month with an additional charge of $0.10 per minute for long distance. This means that the cost of using package A for x minutes in a month would be
45 + 0.1x
For both costs to be the same, it means that
35 + 0.15x = 45 + 0.1x
0.15x - 0.1x = 45 - 35
0.05x = 10
x = 10/0.05
x = 200
Answer:
y = x + 46
Step-by-step explanation:
When writing an equation of a line, keep in mind that you always need the following information in order to determine the linear equation in slope-intercept form, y = mx + b:
1. 2 sets of ordered pairs (x, y)
2. Slope (m)
3. Y-intercept (b)
First, choose two pairs of coordinates to use for solving the slope of the line:
Let (x1, y1) = (0, 46)
(x2, y2) = (1, 47)
User the following formula for slope

Plug in the values of the coordinates into the formula:
Therefore, the slope (m) = 1.
Next, we need the y-intercept, (b). The y-intercept is the y-coordinate of the point where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0. The y-coordinate of the point (0, 46) is the y-intercept. Therefore, b = 46.
Given the slope, m = 1, and y-intercept, b = 46, the linear equation in slope-intercept form is:
y = x + 46
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