Answer
Sal spent 43 minutes jogging per day last week.
Elena spent 45 minutes jogging per day last week.
Step-by-step
Part 1: Find the number of minutes Sal jogged.
1. Find the number of minutes out of the week that were spent jogging.
240 - 25 = 215
Sal spent 215 minutes jogging.
2. Find the number of minutes per day he spent jogging.
215 / 5 = 43
Sal spent 43 minutes jogging per day last week.
Part 2: Find the number of minutes Elena jogged.
1. Find the number of minutes out of the week that were spent jogging.
300 - 15(5) = 300 - 75 = 225
Elena spent 225 minutes jogging.
2. Find the number of minutes per day she spent jogging.
225 / 5 = 45
Elena spent 45 minutes jogging per day last week.
Use proportions here - 8/5.2 = 96/width of actual car. using cross multiplication, 5.2*96 = 8x. this gives you 499.2 = 8x. divide both sides by eight to get x=62.4. the width of the actual car is 62.4 inches.
Answer:
Step-by-step explanation:
Use proportions to solve.
Corresponding sides have same ratio.
<u>Question 1</u>
- (6x + 3)/17 = (8x - 1)/21
- 21(6x + 3) = 17(8x - 1)
- 126x + 63 = 136x - 17
- 10x = 80
- x = 8
<u>Question 2</u>
- (x + 8)/21 = 32/28
- x + 8 = 21*8/7
- x + 8 = 24
- x = 24 - 8
- x = 16
The correct answer is the graph is shifted up by 20 units.
When a number is added to or subtracted from f(x), it translates the graph of f(x) either up or down or we can say it moves the graph of f(x) vertically up or down. Addition of a number moves it vertically up and subtraction moves it vertically down.
In this case 20 is being added to f(x), so this will shift the graph of f(x) 20 units up.
