Answer:
The number of bottles recycle by Alice is 21.
Step-by-step explanation:
Given:
Mike and Alice recycled 147 bottles altogether. Mike recycled 6 times as many bottles as Alice.
Now, to find the quantity of bottles Alice recycle.
Let the number of bottles recycle by Alice =
.
And the number of bottles recycled by Mike =
.
So, according to question:

⇒
<em>Dividing both sides by 7 we get:</em>
⇒
.
Therefore, the number of bottles recycle by Alice is 21.
Answer:
The maximum profit will be reached by buying 500 brass magnetic spheres and 1500 silver magnetic spheres.
Step-by-step explanation:
In order to solve this you need to create a system of equations, with two values that will create the answer we are looking for, the thing that we don't know here is how many of each are we buying so the number of silver magnetic spheres will be represented by "y" and the brass magnetic spheres will be represented by "x".
So we know that x+y=2000
That's our first equation, our second would be the expense, which would be
8x+16y=20,000
We now just solve for one of them
x=(2000-y)
8(2000-y)+16y=20,000
16,000-8y+16y=20,000
8y=4,000
y=500
So we know that the maximum profit will be reached by buying 500 brass magnetic spheres and 1500 silver magnetic spheres.
Answer:
you roll a 6-sided die 6 times, what is the best prediction possible for the number of times you will roll a five? 5. 1. 2. 6. Submit. Submit. Continue. Correct!
Step-by-step explanation:
Midpoint Formula: (

,

)
Midpoint = (

,

)
Midpoint = (

,

)
Midpoint = (

, -4)
So, the midpoint of the endpoints (-4,-3) and (7,-5) is (

, -4).
Have a nice day! ♪