Answer:
5 dollars
Step-by-step explanation:
Let's call the price of a package of pens n, and the cost of a box of paper r.
3n+r=26
2n+7r=49
Multiply the first equation by 7:
21n+7r=182
Subtract the second equation from the first:
19n=133
Divide both sides by 19 to isolate n:
n=7
Plug this back in to find the value of a box of paper:
3(7)+r=26
21+r=26
r=5
Hope this helps!
The linear equations have the same slope but different y-intercepts. This is the right answer because you can see the x coefficient for both equations is -5 but 1 and 10 are not the same and they are y-intercepts. These two are parallel so they will never meet.
1st rectangle:
width: 2.48cm
length: 4.96
2nd rectangle:
width: 4.96 (equals to the length of the 1st rectangle)
area: 9.92
length: 9.92/4.96 = 2
9514 1404 393
Answer:
7.92 years
Step-by-step explanation:
We want to find t such that ...
3 = 2^(t/5)
where 2^(t/5) is the annual multiplier when doubling time is 5 years.
Taking logs, we have ...
log(3) = (t/5)log(2)
t = 5·log(3)/log(2) ≈ 7.92 . . . years
It will take about 7.92 years for the population to triple.
