Answer:
A) 10,560 ft. B) 32 more laps.
Step-by-step explanation:
A) Four laps around a track is equal to one mile, and there are 5,280 feet in one mile. If Roger ran eight laps, he ran two miles. Therefore: 5,280 ft. times 2, is equal to 10,560 ft.
B) We know that Roger ran two miles Monday. We also know that four laps around a track is equal to one mile. In order to run 10 miles, he would have to run 40 laps, and since he already ran 8, we can subtract that from 40. You are left with 32 more laps.
Answer:
42 gallons 45% antifreeze
28 gallons 95% antifreeze
Step-by-step explanation:
If x is volume of 45% antifreeze, and y is volume of 95% antifreeze, then the total volume is:
x + y = 70
And the total amount of antifreeze is:
0.45 x + 0.95 y = 0.65 (70)
Solving by substitution:
0.45 x + 0.95 (70 − x) = 0.65 (70)
0.45 x + 66.5 − 0.95 x = 45.5
21 = 0.5 x
x = 42
y = 28
Answer:
The linear function is: p(x) = 3x+65The linear function is: p(x) = 3x+65
Step-by-step explanation:
Let x be the number of t-shirts and y be the total pay
As we can clearly see in the table that there is a linear relationship between x and y
A linear function is given as:
Here m is the gradient of the function then
Taking any two pairs of x and y
(1,68) and (2,71)
Putting in equation
Putting a pair (1,68) in the equation to find the value of b
Putting the value of b
Let p(x) be the linear function
Hence,
The linear function is: p(x) = 3x+65
Answer:
$21
Step-by-step explanation:
First, find the price without the discount by adding 12 to 30:
30 + 12
= 42
To find the original cost of each game, divide 42 by 2
42/2
= 21
So, each game was originally $21
