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Twenty-six is 20 percent of what number?draw a diagram of the problem.

fourteen hundred is what percent of 350?

Twenty percent of what number is 400?

what percent of 20 is 680?

three hundred eight is 1900 percent of what number?

find three consecutive odd integers such that 7 times the sum of the first and the thrid is 120 less than 10 times the opposite of the second.

find three consecutive even intergers such that 6 times the sum of the first and the third is 8 less than 14 times the second.

if twice the opposite of a number is increased by 5 the result is the opposite of the number. what is the number?

-3p(-2 - 3) + p - 2squard = -(2p + 4) - p zero

2006-10-23 13:59:27 · 7 answers · asked by martin 1 in Science & Mathematics Mathematics

7 answers

Twenty-six is 20 percent of what number?draw a diagram of the problem.
26 = .20x
26/.20 = x
130 = x

fourteen hundred is what percent of 350?
1400 = (x/100)350
140000/350 = x
400% = x

Twenty percent of what number is 400?
.20x = 400
x = 400/.20
x = 2000

what percent of 20 is 680?
20(x/100) = 680
x = 68000/20
x = 3400%

three hundred eight is 1900 percent of what number?
308 = (1900/100)x
308 = 19x
308/19 = x
16 and 4/19 = x
(Are you sure you copied this one down correctly?)

find three consecutive odd integers such that 7 times the sum of the first and the third is 120 less than 10 times the opposite of the second.
x = first integer (-7)
x + 2 = second integer (-5)
x + 4 = third integer (-3)
7(x + [x + 4]) = 10(-x - 2) - 120
7(2x + 4) = -10x - 20 - 120
14x + 28 = -10x - 140
168 = -24x
-7 = x

find three consecutive even integers such that 6 times the sum of the first and the third is 8 less than 14 times the second.
x = first integer (2)
x + 2 = second integer (4)
x + 4 = third integer (6)
6(x + [x + 4]) = 14(x + 2) - 8
6(2x + 4) = 14x + 28 - 8
12x + 24 = 14x + 20
4 = 2x
2 = x

if twice the opposite of a number is increased by 5 the result is the opposite of the number. what is the number?
2(-x) + 5 = -x
-2x + 5 = -x
5 = x

-3p(-2 - 3) + p - 2squard = -(2p + 4) - p zero
-3p(-5) + p - 2^2 = -(2p + 4) - p^0 (I'm assuming the signs, exponents, and parentheses are here as I've typed them.)
15p + p - 4 = -2p - 4 - 1
16p - 4 = -2p - 5
18p = -1
p = -1/18 (I'm not sure this should be the answer.)
Or:
-3p(-2 - 3) + p - 2squard = -(2p + 4) - p zero
-3p(-5) + p - 2^2 = -(2p + 4) - 0p
15p + p - 4 = -2p - 4
16p - 4 = -2p - 4
18p = 0
p = 0

(I'm assuming that last problem needs a rewrite.)

2006-10-23 14:25:54 · answer #1 · answered by wheezer_april_4th_1966 7 · 1 0

Answer 1:
Let the number be 'x'
20x/100 = 26
20x = 2600
x = 2600/20
= 130
26 is 20% of 130

Answer 2:
Let the % be x/100
350x/100 = 1400
350x = 140000
x = 140000/350
= 400
1400 is 400% of 350

Answer 3:
Let the number be 'x'
20x/100 = 400
20x = 40000
x = 40000/20
= 2000
400 is 20% of 2000

Answer 4:
Let the % be x/100
20x/100 = 680
20x = 68000
x = 68000/20
= 3400
680 is 3400% of 20

Answer 5:
Let the number be 'x'
1900x/100 = 308
1900x = 30800
x = 30800/1900
= 16.21052632
308 is 1900% of 16.21052632

Answer 6:
Let the three numbers be 'x', 'x+2' and 'x+4'
7(2x +4) = 10(-x-2)-120
14x + 28 = -10x-20-120
24x = -168
x = -168/24
= -7
The three integers are -7, -5 and -3

Answer 7:
Let the integers be 'x', 'x+2' and 'x+4'
6(x +x+4) = 14(x+2) - 8
6(2x + 4) = 14x +28 - 8
12x + 24 = 14x + 20
24 - 20 = 14x - 12x
4 = 2x
x = 2
Therefore, the three integers are:
2, 4 and 6.

Answer 8:
Let the number be 'x'
-x = -2x + 5
x = 2x - 5
x = 5

Answer 9:
I assume what you mean is:
-3p(-2 - 3) + p - 2^2 = -(2p + 4) - p^0
6p + 9p + p - 4 = -2p - 4 - 1
16p - 4 = -2p - 5
18p = -1
p = -1/18

I hope that helped you.

2006-10-24 00:58:46 · answer #2 · answered by Akilesh - Internet Undertaker 7 · 1 0

i am only going to answer the first one... not because i dont know how to do the rest but because that would take too much time.
26 is 20 percent of what number:
you create an equation where x is the variable you are looking for
26=(20/100)X
to solve for x you divide 26 by .2 and you wind up with 130

2006-10-23 14:10:37 · answer #3 · answered by Anonymous · 0 1

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2016-11-25 01:14:29 · answer #4 · answered by ? 3 · 0 0

1) 130
2) 400
3) 2000
4) 3400
5) 16.21
6) 10 times the opposite of second?? what does that mean?
7) -8, -6, -4
8) -5
9) p= -1/17

2006-10-23 14:22:44 · answer #5 · answered by ax2kool 2 · 0 0

Looks like u r having trouble:) no patience to solve all but IM me for a discussion

2006-10-23 14:10:53 · answer #6 · answered by Anonymous · 0 1

I am a math diva,but here's a tip: get help from a tutor, say a teacher or help from a person that knows as much as u if not more than u.

2006-10-23 14:06:03 · answer #7 · answered by Necromancer 2 · 0 2

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