So there is 65 yards and one yard is 3 feet so you multiple 65 by 3 which is 195 . Then you divide by 4 as you have to see how many four foot pieces can be cut which you end up with 48.75 which means that you can have 48 four foot pieces. So since you have 48 four foot pieces you multiply 48 by 4 and you have 192 and if you subtract 195 which is how many feet there is in the 65 yards you get three feet and that is how much of the rope that is left over.
Let's factor the top and the bottom.
Top factors 4x + 20 = 4(x + 5)
Bottom x^2 + 2x - 15 = (x + 5)(x - 3)
The gcf is the largest value that will go into both the top and the bottom. In our problem the ONLY thing that will go into top and bottom is x + 5 so that is your GCF. (c)
Answer:
no solutions
Step-by-step explanation:
8 + 10 - 6k = 6(4 - k)
Distribute
8 + 10 - 6k = 24 -6k
Combine like terms
18 -6k = 24 -6k
Add 6k to each side
18 - 6k +6k = 24 - 6k+6k
18 = 24
This is never true so there are no solutions
Answer:
It asking you to used the info you know
Step-by-step explanation:
Answer:
The equation used to predict the number of people living in the town after x years is y = 32,000 (1.08)x
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
- <em>Initial population: 32,000
</em>
- <em>Growth per year: 8%
</em>
So, to obtain "y" (the number of people living in the town after x years), we have to multiply the initial population by 1+ 0.08 (the growth rate is 8%/100=0.08 and the original value) and the number of years (x).
Mathematically speaking:
y = 32,000 (1+0.08) x
y= 32,000 (1.08) x
The equation used to predict the number of people living in the town after x years is y = 32,000 (1.08)x
