Answer:
t = 204
Step-by-step explanation:
Let t = initial number of trees
"remove 5 trees at the start of the season" means
(t - 5) remain
"each remaining tree made 210 oranges for a total of 41,790 oranges" means
( t - 5) * 210 = 41790
Now, you can solve for t:
(t-5)(210) = 41790 [just re-writing]
210t - 1050 = 41790 [distribute]
210t = 42840 [add 1050 to each side]
t = 204 [divide each side by 210]
There were initially 204 trees. After 5 were removed, the remaining 199 produced 210 oranges each for a total of 199*210 = 41790 oranges.
Three numbers you can multiply to get 160. First, we make an equation.
Since 160 is divisible by 4, we will make the equation this.
(#1 * #2 * 4 = 160)
Divide 160 by 4, and you get this. #1 * #2 = 40
Now, we divide 40 by 2.
The final answer is 2, 20, and 4.
2x20x4= 160
Answer:
3.5 pounds of nuts; 6.5 pounds of M&Ms
Step-by-step explanation:
Let m represent the number of pounds of M&Ms to use. Then 10-m is the number of pounds of nuts, and the cost of the mix is ...
6·m + 3·(10-m) = 4.95·10 . . . . . cost = cost per pound times pounds
3m +30 = 49.5 . . . . . . simplify
3m = 19.5 . . . . . . . . . . . subtract 30
m = 6.5 . . . . . . . . . . . . . divide by 3
Then 10-m = 10-6.5 = 3.5.
The manager should use 3.5 pounds of nuts and 6.5 pounds of M&Ms in the mix.
Answer:
Step-by-step explanation:
