Answer:
24
Step-by-step explanation:
Problems at start = 32
-Problems done Friday = ¼ × 32 = <u> 8</u>
Problems still to be done = 24
Andrea had to do 24 problems on Saturday to complete the homework.
Answers:
So the solution is (x,y) = (4, -1)
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Work Shown:
6x + 7y = 17
6x + 7( y ) = 17
6x + 7( -3x+11 ) = 17 ... replace every copy of y with -3x+11
6x - 21x + 77 = 17
-15x = 17-77
-15x = -60
x = -60/(-15)
x = 4
We'll use this x value to find y
y = -3x+11
y = -3(4)+11 ... replace x with 4
y = -12+11
y = -1
We have x = 4 and y = -1 pair up together to give us the solution (x,y) = (4, -1)
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To check the solution, we plug x = 4 and y = -1 into each equation
Plugging the values into the first equation leads to...
y = -3x+11
-1 = -3(4)+11
-1 = -1
This is effectively already done in the last part of the previous section. But it doesn't hurt to verify like this regardless.
We'll need to verify the second equation as well.
6x + 7y = 17
6(4) + 7(-1) = 17
24 - 7 = 17
17 = 17
We get a true equation, so the solution is confirmed with both equations. Overall, the solution to the system of equations is confirmed. This system is independent and consistent.
Answer:
44 pi centimeters cubed
Step-by-step explanation:
Since, base radius and height of cone are equal to to that of cylinder. Hence,
Answer: 500
Step-by-step explanation:
it is closest and is under 550. if it were 551 through 599 it would be 600
Answer:
yards
Step-by-step explanation:
The circumference of this circle = 2πr
= 8π
We have to find the arc length of 50°, or 50/360 times the circumference of the circle(because there is 360° in a circle)
-Chetan K
