Multiply 7 x 12 which is 84, 8x2 is 16, 16 divded by 3 is 5, so 5 minutes
Answer:
Part a) 
Part b) 
Step-by-step explanation:
Part a) Write an equation for T (d)
Let
d ----> the number of days
T ---> the time in minutes of the treadmill
we know that
The linear equation in slope intercept form is equal to

where
m is the slope or unit rate
b is the y-intercept or initial value
In this problem we have
The slope or unit rate is

The y-intercept or initial value is

substitute

Part b) Find T (6), the minutes he will spend on the treadmill on day 6
For d=6
substitute in the equation and solve for T


Answer:
27+36=9 (3+7)
Step-by-step explanation:
27+36= 2(70+36)
The volume of the bag of nuts is the amount of nuts it can contain
The volume of the bag of nuts is 84.78 cubic inches
<h3>How to determine the volume of the bag?</h3>
From the figure, we have the following parameters:
- Radius, r = 3 in
- Height, h = 9 in
The volume of a cone is calculated using:
V = 1/3 πr^2h
Substitute the known values
V = 1/3 * 3.14 * 3^2 * 9
Evaluate the product
V = 84.78
Hence, the volume of the bag of nuts is 84.78 cubic inches
Read more about volumes at:
brainly.com/question/1972490
Direct variation is a relation that has the form
y = kx
where k is the constant of proportionality.
If you are told that a relation is a direct proportion, and you are given one data point, you can find k. The you can write the equation of the direct relation.
Here is an example.
The price of gasoline follows a direct variation.
John bought 5 gallons of gas and paid $15.
a) Write an equation for the relation.
b) Using the relation you found, how much do 13.8 gallons cost?
Solution:
Since the relation is a direct variation, it follows the general equation of a direct variation:
y = kx
We are given one data point, 5 gallons cost $15.
We plug in 5 for x and 15 for y and we find k.
y = kx
15 = k * 5
k = 3
Now that we know that k = 3, we rewrite the relation using our value of k.
y = 3x
This is the answer to part a).
Part b)
We use our relation, y = 3x, and we plug in 13.8 into x and find y.
y = 3x
y = 3 * 13.8
y = 41.4
The price of 15 gallons of gas is $41.40.