The slope of the line that passes through the points (-20,18) and (30,14) is
m (slope) = -2/25
The two friends will be 150 miles apart, when the sum of the distances covered by the them is 150 miles.
distance = speed x time.
Let the time covered when they are 150 miles apart be x, then:
40x + 35x = 150
75x = 150
x = 150/75 = 2.
Therefore, the two friends will be 150 miles apart in 2 hours.
Answer:
34.10
Step-by-step explanation:
Note:
16% = .16
Important:
What was the <u>old price</u> of the shoes
Solution:
40.60 x .16 = 6.946 [Round:6.50]
40.60-6.50= 34.10
Hence, the old price of the shoes is $34.10
A)
Let x represent the cost of 1 student, and y the cost of 1 teacher.
B)
In the first group, there's 25 students and 2 teachers. Their total cost is $97.50
So 25x + 2y = 97.50
In the second group, there's 32 students and 3 teachers. Their total cost is $127
So 32x + 3y = 127
We get the following system of equations:
25x + 2y = 97.50 (1)
32x + 3y = 127 (2)
C)
25x + 2y = 97.50 (1)
32x + 3y = 127 (2)
In equation (1)
25x + 2y = 97.50
25x + 2y - 2y = 97.50 - 2y
25x = 97.50 - 2y
25x / 25 = 97.50/25 - 2y/25
x = 3.9 - (2/25)y
In equation (2), let's replace x by its algebraic value
32x + 3y = 127
32(-2/25y + 3.9) + 3y = 127
11/25y + 124.8 = 127
11/25y + 124.8 - 124.8 = 127 - 124.8
11/25y = 2.2
(11/25y) / (11/25) = 2.2 / (11/25)
y = 5
x = -2/25y + 3.9
x = -2/25 * 5 + 3.9
x = 3.5
So the cost of each student is $3.5, and the cost of each teacher is $5.
Hope this helps! :)
The equation y=2x+1 has the same slope , so will be parallel to the given line.
<h3>What is a linear function ?</h3>
A function that can be represented in the form of y =mx +c , is called a Linear Function.
here m is the slope and c is the y intercept.
The slope of the given line can be found as follows
The y intercept is 4
at x = -2 , y =0
0 = -2m + 4
m = 2
The line parallel to this line will have the same slope
In the given option , Option C , y=2x+1 has the same slope , so will be parallel to the given line.
To know more about Linear Function
brainly.com/question/21107621
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