The known facts
- the sum of Natalie's age and Fred's age is 36
- the sum of Fred's age times four and Natalie's age is 72
Now, let's set up the equations where N is Natalie's age and F is Fred's age.
N + F = 36 ---- equation 1
N + 4F = 72 ---- equation 2
equation 2 minus equation 1 ---> 3F = 36 ---> F = 12, thus N = 24
Thus Fred is 12 years old, and Natalie is 24 years old.
Answer:
y=-2/5x+2
Step-by-step explanation:
Answer:
1/6
Step-by-step explanation:
So we are subtracting a negative which is the same as adding. Our equation becomes -1/3+1/2. To add fractions we need a common denominator (the denominator of a fraction is the number on the bottom) To fine the least common denominator we need to find the lowest number that both 3 and 2 go into which is 6. Then we will multiply each fraction by the number that will give us 6 for a denominator which is 2 for -1/3 and 3 for 1/2. So -1/3 times 2 is -2/6 and 1/2 times 3 is 3/6. Our equation is now -2/6+3/6. Now we will add the numerators ( the numerator is the number on the top of the fraction) and the denominators stay the same when adding or subtraction fractions -2/6+3/6=1/6
I hope this helps and please let me know if there is anything you are confused about or is still unclear, I will be happy to help!
Answer:
Part A) For the number of hours less than 5 hours it make more sense to rent a scooter from Rosie's
Part B) For the number of hours greater than 5 hours it make more sense to rent a scooter from Sam's
Part C) Yes, for the number of hours equal to 5 the cost of Sam'scooters is equal to the cost of Rosie's scooters
Part D) The cost is $90
Step-by-step explanation:
Let
x-------> the number of hours (independent variable)
y-----> the total cost of rent scooters (dependent variable)
we know that
Sam's scooters
Rosie's scooters
using a graphing tool
see the attached figure
A. when does it make more sense to rent a scooter from Rosie's? How do you know?
For the number of hours less than 5 hours it make more sense to rent a scooter from Rosie's (see the attached figure) because the cost in less than Sam' scooters
B. when does it make more sense to rent a scooter from Sam's? How do you know?
For the number of hours greater than 5 hours it make more sense to rent a scooter from Sam's (see the attached figure) because the cost in less than Rosie' scooters
C. Is there ever a time where it wouldn't matter which store to choose?
Yes, for the number of hours equal to 5 the cost of Sam'scooters is equal to the cost of Rosie's scooters. The cost is $70 (see the graph)
D. If you were renting a scooter from Rosie's, how much would you pay if you were planning on renting for 7 hours?
Rosie's scooters

For x=7 hours
substitute

The cost is $90
Step-by-step explanation:
area=length x width
91=(x+2)(2x+3)
91=x^2+5x+6
x^2+5x-85=0
x=14.2 orx=-24.1