Answer:
6m+36
Step-by-step explanation:
Distributive property: 6(m)+6(6)
6m+36
Hey there!
"9 pounds more than" means that you'll be adding 9 to the expression.
"half the weight w" means that you'll be calculating half of w each time you solve the equation, or 0.5w.
Your entire expression will be 0.5w + 9.
Hope this helped you out! :-)
This is how you add fractions..
I have solved it step-by-step. If you understand this, you'll know how to subtract, too.
If you don't understand, message me :)
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.
2,700 / 12 = 225
225 / 5 = 45
They can make 45 necklaces.