<h3>
Answer: (x,y) = (4,1)</h3>
In other words, x = 4 and y = 1
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Explanation:
Add the equations straight down.
- The x terms add to 3x because 2x+x = 3x
- The y terms go away when you add them since -y+y = 0y = 0
- The terms on the right hand sides add to 7+5 = 12
After those three sets of adding terms, we end up with 3x = 12. This solves to x = 4 when you divide both sides by 3.
Use this x value to find y.
2x-y = 7
2(4)-y = 7
8-y = 7
-y = 7-8
-y = -1
y = 1
or
x+y = 5
4+y = 5
y = 5-4
y = 1
Your best best is probably to use the second equation, but it doesn't hurt to have practice with both equations. Getting the same y value helps confirm we have the correct x value.
Therefore, the solution is the ordered pair (x,y) = (4,1). Meaning that x = 4 and y = 1 pair up together.
Visual confirmation can be done by using a graphing tool like Desmos. The two lines intersect at (4, 1). See below.
We are supposing that the 3392.92 cubic inches of liquid will fit perfectly into the 30 glass spheres.
The volume of a sphere is:
(4/3) * pi * r^3
30 of these would be:
30 * [(4/3) * pi * r^3] = 3392.92
Divide by 30 and 4/3:
pi * r^3 = 84.823
Divide by pi and cube root each side:
r is about 3 inches, meaning the diameter is about 6 inches.
The answer is (C).
Answer:
y=1/3x+2
Step-by-step explanation:
3500 - 200 =3300...what is owed after the deductible is paid
0.80(3300) = 2640 <== insurance companies payment
(3300 - 2640) + 200 = 660 + 200 = 860 <== what Bret paid
A proportion is two fractions that are equal.
Reduce both fractions. If they are equal, then it is a proportion.
12/22 = 6/11
18/33 = 6/11
The fractions are equal, so they do form a proportion.