Answer:
D. The correct value of c = 7.4
Step-by-step explanation:
According to Tangent-Secant theorem:
"When a tangent and a secant are drawn from one single external point to a circle, square of the length of tangent segment must be equal to the product of lengths of whole secant segment and the exterior portion of secant segment."
Here, the external length of tangent segment = 10
Also, the length of internal segment is 14 and c.
So, by the SECANT THEOREM:
or, c = 7. 1428
Now, rounding off the value of c = 7. 14 to the nearest tenth, we get
c = 7. 4
Hence the correct value of c = 7.4
Answer:
Part a. The graph does not model a proportional relationship.
Part b. The values in table model a proportional relation.
3.5 minutes per mile.
Step-by-step explanation:
Part a.
The graph shown in the question representing Janet's data is not a straight line although it passes through the origin.
That is why the rate of change of distance with time is not constant.
Therefore, the graph does not model a proportional relationship.
Part b.
If we plot the data in the table using distance in miles along the y-axis and time in minutes along the x-axis, then we will get a straight line passing through the origin.
So, the values in the table model a proportional relation.
Now, Tarik's unit rate in minutes per miles will be 
minutes per mile. (Answer)
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! :)
Answer:
People drank 75 cups, First find the amount of juice that Mrs. Jackson bought .Then subtract the 3 cups of juice that were left over
5 x 16=80
80-3= 77
Step-by-step explanation:
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