Answer:
12, 1
Step-by-step explanation:
12- 6(1)=
12-6= 6
Let
x-------> total peanuts originally from the bag
we know that
1) Phillip took 1/3 of the peanuts from the bag--------> (1/3)*x
remaining=x-(1/3)*x-------> (2/3)*x
2) Joy took 1/4 of the remaining peanuts-------> (1/4)*[(2/3)*x]----> (1/6)*x
remaining= (2/3)*x-(1/6)*x------> (1/2)*x
3) Brett took 1/2 of the remaining peanuts------> (1/2)*(1/2)*x-----> (1/4)*x
remaining= (1/2)*x-(1/4)*x-------> (1/4)*x
4) Preston took 10 peanuts------> 10
(1/4)*x-10=71----> multiply by 4 both sides----> x-40=284----> x=324 peanuts
5) Total originally peanuts from the bag is equal to 324 peanuts
6) Phillip took (1/3)*x-----> (1/3)*324=108 peanuts
7) Joy took (1/6)*x------> (1/6)*324=54 peanuts
8) Brett took (1/4)*x------> (1/4)*324=81 peanuts
9) Preston took 10
so
check
108+54+81+10=253
remaining=324-253------> remaining=71-------> is correct
Even though it may look like the option is E the real answer is that the variables are invesely related. So your answer will be D
Answer:
Step-by-step explanation:49.5
Answer:
There would need to be at least 1,800 entries in order for them to meet their goal.
Step-by-step explanation:
To find this, we must write an equation that helps solve it. We know that for every entry (x), we gain 75 and lose 25. We can express this as the following.
75x - 25x
Then we can add the number of donations.
75x - 25x + 10,000
Then we can set it as greater than or equal to the goal number.
75x - 25x + 10,000 ≥ 100,000
Now we solve this using the order of operations.
75x - 25x + 10,000 ≥ 100,000 ----> Combine like terms
50x + 10,000 ≥ 100,000 ------> Subtract 10,000
50x ≥ 90,000 -----> Divide by 50
x ≥ 1,800
