Answer:
Answer: D) 3.75
Step-by-step explanation:
According to the Insersecting chords theorem, when you multiply the lengths of the segments of one of the chords in a circle, the product obtained is equal to the product of the segments of the other chord.
Based on this, you can find the value of "x" with:
Solve for "x" (Applying the Division property of equality, you can divide both sides of the equation by 4). Then:
This value matches with the option D.
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Answer: Yes, and she will have 4 cups leftover
Step-by-step explanation:
1 Quart = 4 cups
Convert the quarts: 7 * 4 = 28
Find the amount of cups needed in total: 12* 2 = 24
Subtract to see if possible: 28- 24 = 4
Answer:
Step-by-step explanation:
Rewrite the system of equations as:
Subtract the second equation from the first to isolate 
:
Plug in 
into any of the equations above and solve for 
:
Verify that the solution pair 
works 
Therefore, the solution to this system of equations is:
The answer to this would be 256.9.
For this problem I would change:
2x + 3y = 25 into
-2x - 3y = -25
Then, I would add up both equations by lining them up top of another.
5x + 3y = 31
+ -2x - 3y = -25
3x = 6
x = 2
Now that you have x, solve for y.
5x + 3y = 31
5(2) + 3y = 31
10 + 3y = 31
3y = 21
y = 7
So, x is 2 and y is 7.
Check to see if the values are correct by plugging them into the other equation.
2x + 3y = 25
2(2) + 3(7) = 25
4 + 21 = 25
25 = 25
Since the values are correct, the solution to this problem is A (2, 7).
