This problem can be solved by algebraic method.
Let
x = the total time spent of all clients in Plan A
y = the total time spent of all clients in Plan B
We represent two variables x and y because there are two plans that won't be happened simultaneously.
On Wednesday, the two workout plans have the total time of 6 hours. We equate
3x + 5y = 6
While on Thursday, the total time is 12 hours. We also equate
9x + 7y = 12
To find x and y, we can use the substitution method. For the first equation, we arrange it in terms of y, that is
5y = 6 - 3x
y = (6 - 3x)/5
Substitute it to the second equation:
9x + (7/5)(6 - 3x) = 12
9x + (42/5) - (21/5)x = 12
Multiply the equation by 5 to cancel the denominator:
45x + 42 - 21x = 60
45x - 21x = 60 - 42
24x = 18
x = 18/24 = 3/4 hours
For y:
3(3/4) + 5y = 6
9/4 + 5y = 6
Multiply the equation by 4 to cancel the denominator:
9 + 20y = 24
20y = 24 - 9
20y = 15
y = 15/20 = 3/4 hours
Hence, each workout plans are done within 3/4 hours (or 45 minutes).
Answer:
1/2
Step-by-step explanation:
Answer:
The number of calories in each cracker is approximately 7 calories .
Option (b) is correct .
Step-by-step explanation:
As given
The nutritional information on Xuan’s container of crackers said that it had 162 calories.
If there were 24 crackers in the container.

The number of calories in each cracker = 6.75
(6.75 is approximately written as 7)
Thus the number of calories in each cracker is approximately 7 calories.
Answer:
From the graph,
- The line y = 7x + 3 is represented by a red line with y-intercept (0, 3)
- The line y = 2x + 6 is represented by a blue line with y-intercept (0, 6)
it is clear that the slope and y-intercept have been changed.
Step-by-step explanation:
The slope-intercept form of the line equation
y = mx+b
where m is the slope and b is the y-intercept
Given the equation of a line
y = 7x + 3
comparing with a slope-intercept form of the line equation
y = mx+b
Here,
The slope = m = 7
y-intercept = b = 3
Now, the equation changed to y = 2x + 6
y = 2x + 6
comparing with a slope-intercept form of the line equation
y = mx+b
Here,
The slope = m = 2
y-intercept = b = 6
Thus, if the equation was changed to y = 2x + 6, the slope and y-intercept also get changed from m = 7 to m = 2 and b = 3 to b = 6 respectively.
The lines of both equations is also attached.
From the graph,
- The line y = 7x + 3 is represented by a red line with y-intercept (0, 3)
- The line y = 2x + 6 is represented by a blue line with y-intercept (0, 6)
it is clear that the slope and y-intercept have been changed.
The Ratios has a unit rate of 8
A - 40:5
C - 96:12
D - 48:6
Dividable by 8