Answer:
12/5hours=2.4 hours
Step-by-step explanation:
Sam:6hours
Tom:4hours
This is a rate problem
Sam's rate is one job completed in 6 hours which is 1/6
Tom's rate is one job completed in 4 hours which is 1/4
Together, they could complete 1/4+1/6 of the job in y hours
We are trying to find the rate at which Sam and Tom could complete the job together, or one job in x days, for a rate of 1/y
1/4+1/6=1/y
The least common denominator is 12y
Multiplying through by the LCD which gives:
12y(1/4)+ 12y (1/6)= 12y (1/y)
3y + 2y=12
5y = 12
y=12/5 hours=2.4hours
Therefore it will take 12/5 hours or 2.4 hours to complete the job if they work together
Answer:
With 95% confidence, at least 1,794,000 were tested for HIV within the past 12 months
Step-by-step explanation:
The lower bound of the confidence interval is 29.9%.
So, with 95% confidence, we know that at least 29.9% of the New York population tested for HIV.
Out of 6 million, that is:
0.299*6000000 = 1,794,000
With 95% confidence, at least 1,794,000 were tested for HIV within the past 12 months
A GCF ( Greatest Common Factor) is one factor that can be split evenly between the two numbers you have chosen.
For example, the greatest common factor of 4 and 8 would be 4 because this is the greatest number that can be split evenly with the numbers I have chosen.
I hope this helped.
Solution:
C=32.50t+8.50
236=32.50t+8.50
236-8.50=32.50t
227.50=32.50t
227.50/32.50=32.50t/32.50
t=7
The family bought 7 tickets.
D=number of dimes
q=number of quarters
let's count everything in cents
dimes are worth 10 cents
quarters are worth 25 cents
10d+25q=700
divide both sides by 5
2d+5q=140
he has 7 more quarters than dimes
q=7+d
subsitute 7+d for q in other equation
2d+5q=140
2d+5(7+d)=140
2d+35+5d=140
7d+35=140
minus 35 both sides
7d=105
divide both sides by 7
d=15
sub back
q=7+d
q=7+15
q=22
22 quarters and 15 dimes
