1. X+6>=(>= mr than means is greater than or equal to)7 so: x+6>=7
Subtract 6 from both sides to get x alone:
x>=1
x={1,2,3...}
2. 5+x>-7
Subtract 5 to get x alone:
x>-12
x={-12, -11, -10...}
3. r-4<= 3
Add 4 to both sides to get x alone:
r<= 7
x={7, 6, 5...}
4. w-8<-3
Add 8 to both sides:
w<5
w={4, 3, 2...}
5. Justify each step:
m-2(8-5)<=-9
Using the order of operations, the operation in the parentheses must be executed first.
m-2(3)<=-9
Using the order of operations, multiplication is used.
m-6<=-9
To get the variable (m) alone, the equation must be balanced, what happens to one side, must occur on the other as well.
m-6+6<=-9+6
Using the order of operations, addition is used.
m<=-3
6. write an inequality for each sentence. then solve it.
the total weight limit for a truck is 100,000 lb. the truck weighs 36,000 lb empty. what is the most that the trucks load w can weigh?
x+36,000 <= 100,000
Subtract 36,000 from both sides:
x<= 64000
7. 9-5r+2(r-3)
Use the distributive property:
9-5r+2r-6
Combine like terms:
3-3r
Simplify:
3(1-r)
8. write an integer to represent the debt of $35
-$35
2006-10-16 16:39:09
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answer #1
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answered by Anonymous
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1. x >= 1
2. x >-12
3. r <= 7
4. w < 5
5. Justify each step:
m-2(8-5)<=-9
m-2(3)<=-9 SUBTRACTION
m-6<=-9 MULTIPLICATION
m-6+6<=-9+6 IDENTITY and ADDITION
m<=-3 ADDITION
6. write an inequality for each sentence. then solve it.
the total weight limit for a truck is 100,000 lb. the truck weighs 36,000 lb empty. what is the most that the trucks load w can weigh?
W <= 100,000
w >= 36,000
W + 36,000 <= w + 100,000
W-w <= 100,000 - 36,000
W-w <= 64,000
truck load must weigh <= 64,000 lbs
7.9-5r+2(r-3)
r - 3r
i dont get it. where's the equality sign?
8. write an integer to represent the debt of $35
-35
2006-10-16 16:36:25
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answer #2
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answered by naike_10021980 2
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1) x >= 1
2) x > -2
3) r <=7
4) w<5
5) first you have to do the parentheses so (8-5) =3
then you have to do the mutiplication so 2(3) =6
then you have to cancel out the 6 to solve m so m<= -9 +6
m<=-3
6) x<= 100000
36000+x <=100000
x<=100000-36000
x<=64000
mmm..kinda tired at this point...and I do have a life ( somehow)
Good luck!
2006-10-16 16:46:26
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answer #3
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answered by Jmyooooh 4
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Hi!
Lets start with problem #1, okay? First remember that whatever we do to one side of the equal sign, we must do the same to the other side of that equal sign? Or in this case we have a greater than or equal sign! In problem #1, we want the x to stand alone! To get x to stand alone, what must we do to the left side(which is x+6)? Lets subtract 6! After we've subtracted 6 from both sides of the equasion, we'll have x>=1. You see, we subtracted 6 from x+6 and we got x! Our goal was to get x to stand alone! The rule said, if we subtract 6 from the left side of the equasion, we must also subtract 6 from the right side(or 7-6)! Get it?
PROBLEM 2. To get x to stand alone, lrts subtract 5 from the left side of the equasion! Subtracting 5 from the left side, we get x! So to follow the rule, lets also subtract 5 from the right side! What is -7 subtract 5? -12 right? Now our problem says x>-12
5+x>-7 ...the problem
x>-12 ...subtracting 5 from both sides of the equasion! That's your answer!
PROBLEM3 What can we do to the left side to get r to stand alone? Lets add 4!
r-4<=3.. the problem
r<=7...adding 4 to each side of the equasion to get r to stand alone!
PROBLEM#4 What can we do to both sides of the equasion to get w to stand alone? Lets add 8!
w-8<-3..the problem
w<5...here we've added 8 to each side of the equasion to get w to stand alone!
Remember that any time we have parenthesis, we multiply each number inside the parenthesis times the number outside
m-2(8-5)<=-9
m-16+10<=-9....factoring ot the numbers inside the parenthesis
m-6<=-9...putting the numbers together
m<=-3...adding 6 to each side to get m to stand alone. the answer!
m-6+6<=-9+6...the problem
m<=-3. The -6 and the +6 on the left cancel each other out and -9+6=-3.. The answer is m<=-3
PROBLEM 6
w=100,000-36,000
w= 64,000 lbs...the answer!
PROBLEM 7
9-5r+ 2(r-3)
9-5r+2r-6=0....multiplying out the numbers inside parenthesis
3-3r=0......combining like numbers (9-6 is 3, and -5r+2r is -3r)
-3r=-3....subtracting 3 from each side of the equasion
r=1....dividing each side by -3 to get r to stand alone! r=1 is the answer
PROBLEM 8......-35.00
2006-10-16 17:41:58
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answer #4
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answered by bemeup 2
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a million. 6 5/4+6 3/5 =(6x4+5)/4+(6x5+3)/5 =(24+5)/4+(30+3)/5 =29/4+33/5 =29/4x(5/5)+33/5x(4/4) =a hundred forty five/20+132/20 =277/20 or 13 17/20 2. 4/5+7/20 =4/5x(4/4)+7/20 =sixteen/20+7/20 =23/20 or a million 3/20
2016-12-26 21:18:17
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answer #5
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answered by ? 3
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I think you should try doing your own work. Yahoo Answers will not be there during test time
2006-10-16 16:29:23
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answer #6
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answered by Amy 4
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if you need help b/c you dont understand im sure people will be more pleased to help but if you need help b/c u r too lazy to do it yourself, well thats a waist of our time.
2006-10-16 16:35:51
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answer #7
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answered by ? 2
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Why don't you do the work first, then we can help you get the correct answer.
2006-10-16 16:33:55
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answer #8
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answered by joulesofaffection 3
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There's always one sucker, isn't here? Go on, enjoy whatever it is that you thought more important , and enjoy your eventual F.
2006-10-16 16:45:23
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answer #9
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answered by Helmut 7
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We just "help" with your hmk, not doing it lol.
2006-10-16 16:28:10
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answer #10
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answered by Oh Dee! 3
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