Answer: There are 152 apples.
The explanation is shown below:
- You need to write the following three equations, where 
is the the number of apples, 
is the number of pears and 
is the number of oranges:
1) 
2) 
3) 
- You must substitute the equation 3) into the equation 2):
- Now, you need to solve for in the equation 1) and then you must substitute it into :
- Solve for , as following:
- Therefore, there are 152 apples.
Answer:
48 minutes
Step-by-step explanation:
Given that:
Time taken by Janet = 3 hours
Janet's rate = 1/3 job / hour
Time taken by Garry = 2 hours
Garry's rate = 1/2
Rate of working together :
1/3 + 1/2 = (2 + 3) /6 = 5/6 job/hour
If Janet works for one hour before Garry joins ;
1/3 of the job has been done by Janet
1 - 1/3 = 2/3 of the job left
Hence to finish the job together, it will take :
Fraction of JOB left ÷ rate of working together
(2/3 ÷ 5/6)
= 2 /3 * 6/5
= 12 / 15
= 4 / 5 hours
To minutes
(4/5) * 60
= 240/5
= 48 minutes
Answer:
(-2,-12) and (1,30)
Step-by-step explanation:
we know that
f(x) passes through the points (-2,-4) and (1,10)
That means
For x=-2 ----> f(-2)=-4
For x=1 ----> f(1)=10
we have
g(x)=3f(x)
so
substitute the given value of f(x) to obtain the value of the function g(x)
For x=-2 -----> g(-2)=3f(-2) ----> g(-2)=3(-4)=-12
For x=1 -----> g(1)=3f(1) ----> g(1)=3(10)=30
therefore
The two points that would lie on the graph of function g are
(-2,-12) and (1,30)
The equation 3x+1/2=4
meaning x would equal 7/6
So for each hour the price increases $5.15
so 4 hours = 23.95
5 hours = 23.95 + 5.15 = 29.10
6 hours = 29.10 + 5.15 = 34.25
