Answer: 200
Step-by-step explanation:
Number of numbers counted by Alex;
= 2,400 / 6
= 400
Number of numbers counted by Matthew;
= 2,400/4
= 600
Numbers that both of them counted = 600 - 400
= 200
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:
B
Step-by-step explanation:
5(2x+4)=30
10x+20=30
10x=10
x=1
Answer:
x = 0
y = 4
Step-by-step explanation:
Given
12x - 5y = -20
y = x + 4
Substitute x + 4 for y in the first equation
12x - 5(x + 4) = -20
Expand the bracket
12x -5 X x - 5 x 4 = -20
12x - 5x - 20 = -20
7x - 20 = -20
Add 20 to both sides to eliminate -20 on the left side
7x - 20 + 20 = -20 + 20
7x = 0
Divide both sides by 7 to isolate x
7x/7 = 0/7
x = 0
Substitute 0 for x in either equation to get y
Using equation 2, we have
y = x + 4
= 0 + 4
= 4
x = 0
y = 4
Step 1: Divide both sides by x.<span><span><span>fx</span>x</span>=<span><span><span>−<span>4.5x</span></span>+7</span>x</span></span><span>f=<span><span><span>−<span>4.5x</span></span>+7</span>x</span></span>Answer:f=<span><span><span>−<span>4.5x</span></span>+7</span><span>x</span></span>
