A tub is shaped like a rectangular solid, with internal measurements of 2 feet x 2 feet x 5 feet. If two faucets, each with an output of 2 cubic feet of water per minute, pour water into the tub simultaneously, how many minutes does it take to fill the tub completely?
Answers
Therefore, given the rate of 2 cubic feet per minute, it would only take 10 minutes to fill the rectangular prism with a volume of 20 cubic feet.
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Please give me the correct answer.ACE,Moderator,Genius,and Expert please help me.
Prove: if a+c=b+c, then a=b. Statement 1: a+c=b+c Statement 2: a+c+(-c)=b+c+(-c) Statement 3: a+[c+(-c)]=b+[c(-c)] Statement 4: a+0=b+0 Statement 5: a=b. What is the reason for Statement 2? a. Property of opposites b. Associative property of addition c. Addition property of equality d. Identify property of addition
A student got an 85% on his test . If he got 12 questions wrong , how many questions were on the test?
What's 17⁄12 as a mixed number? A. 1 5⁄12 B. 1 12⁄7 C. 1 7⁄12 D. 7 1⁄2
A.Northwest, Southwest, Southeast
B.Southwest, Northeast, Northwest
C.Northeast, Southwest, Tulsa Metro
D.Southeast, Northeast, Oklahoma City Metro
Answers
Northeast 23%, Southwest 21%, Tulsa Metro 6%
23 + 21 + 6 = 50
C. Northeast, southeast,Tulsa metrois your answer
Answers
10 = (x - 3) + (x + 1)
10 = x + x - 3 + 1
10 = 2x - 2 (add 2 to each side)
12 = 2x (divide 2 from each side)
12/2 = x
6 = x
answer
Answers
1). Take care of the (x+1)² . . .
(x + 1)² = x² + 2x + 1
2). Take care of the (x-1)² . . .
(x - 1)² = x² - 2x + 1
The problem says that (the first expression) minus (the second expression) is 32 .
(x² + 2x + 1) - (x² - 2x + 1) = 32
Can you handle this ?
Only one more touchy point to take care of . . . removing the second parentheses.
Since there's a negative sign before it, that changes the sign of everything inside:
(x² + 2x + 1) PLUS (- x² + 2x - 1) = 32
Now you can just erase all the parentheses:
x² + 2x + 1 - x² + 2x - 1 = 32
Now I'm just going to write the things on the left side in a different order,
without changing anything:
x² - x² + 2x + 2x + 1 - 1 = 32
Isn't that neat ? ! ?
What you have now is:
4x = 32
Divide each side by 4 :
x = 8
Just watch how slick that works:
(x + 1)² - (x - 1)² = ?
(x + 1) = 9 (x - 1) = 7
(9)² - (7)² = 81 - 49 = . . . . . . . . 32 !
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Answers
Decimal: 0.94
Percent: 94%
−4x + 3y = 8
What is the solution to the system of equations?
Answers
-4x+3y=8
Rewriting the equations;
y+2x=6
3y-4x=8
Multiplying equation I by 3;
3y+6x=18
3y-4x=8
Subtracting equation II from equation I;
10x=10
x=1
Replacing for x in the first equation;
2x=-y+6
2(1)=-y+6
2=-y+6
2-6=-y
-4=-y
y=4