Answer:
Step-by-step explanation:
Let c represent the weight of cashews and p the weight of pecans.
Then c + 10 = total weight of the nut mixture.
An equation for the value of the mixture follows:
$1.50(10 lb) + $0.75c = (c+10)($1.00)
Solve this equation for c: 15 + .75c = c + 10. Subtract .75c from both sides:
15 = 1c - 0.75c + 10. Then 5=0.25c, and c = 5/0.25, or 20.
Need 20 lb of cashews.
Check: the pecans weigh 10 lb and are worth $1.50 per lb, so the total value of the pecans is $15. The total value of the cashews is (20 lb)($0.75/lb), or $15. Does (20 lb + 10 lb)($1/lb) = $15 + $15? Yes. So c= 20 lb is correct.
Answer:
The slope is -5 and the y intercept is (0,4). (D).
Step-by-step explanation:
The formula for this is y=mx+b. With m equaling the slope, and b equaling the y intercept. In the place of m, there is -5, getting you your slope of -5 and in the place of b there is 4 (meaning the coordinate (0,4)), getting you your answer. I hope this helps! :)
Answer:
4
Step-by-step explanation:
Since it gives us the amount of area of material to use we know we want to find how many times we can divide it into tablecloths. So now we need to find how much each tablecloth is.
so first it tells us that each table has a radius of 2 ft, so we find the area using that. area of a circle is
so plugging in 2 ft we get 4π square feet or 12.56.
It also says that each tablecloth needs to be 20% bigger, so we find what 20% larger than 4π is. to do this you do 4pi*1.2 = 4.8π = 15.072 square feet.
Now, how many tablecloths with areas of 15.072 square feet can be made from 64 square feet. Hopefully it's obvious you divide. so 64/15.072 = 4.25
Since we want whole tablecloths and that .25 is a remainder, 4 whole tablecloths can be made.