You were supossed to add two to four times a number, but you made a mistake and accidentally added four to two times the number.... when you made the mistake, the answer for the equation became five smaller than the original.
What is the number?
2006-11-12 14:20:00 · 8 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
what did you get? ill tell you what i got and how to do it then...
2006-11-12 14:24:04 · answer #1 · answered by pinkflahippo16 2 · 0⤊ 0⤋
intention A --- 2 + 4 x number
intention B --- 4 + 2 x number
condition -- intention A is intention B less 5.
From the last statement you have 2 things that are equal ( look for the word IS )
Therefore A = B - 5.
Now substitute with the meanings of A and B.
2 + 4 x N = (4 + 2 x N) - 5
Solve for N. Combine the constants on the right.
2 + 4xN = 2xN - 1
Subtract 2 from both sides.
4xN = 2xN - 3
Sutract 2xN from both sides.
2xN = -3
Divide both sides by 2
N = -3/2
Then check your answer
Intention A -- 2 + 4 x ( -3/2 ) = 2 + -6 = -4
Intention B -- 4 + 2 x ( -3/2 ) = 4 + -3 = 1
The mistake is 5 less than the original.
qed
testing another submission 7/2
Intention A -- 2 + 4 x ( 7/2 ) = 2 + 14 = 16
Intention B -- 4 + 2 x ( 7/2 ) = 4 + 7 = 11
With that solution, the first answer is 5 greater than the second. That could be right, too.
Now we see that the question is not perfectly clear. What does the exercise mean by "original"? Depending on the interpretation, the answer is either -3/2 or 7/2.
2006-11-12 14:25:12 · answer #2 · answered by Trailcook 4 · 0⤊ 0⤋
2+4x=5*(4+2x)
2+4x=20+10x
-18=6x
x=-3
2+4(-3)=-10
4+2(-3)=-2
which really isn't 5 times smaller. There is no solution.
2006-11-12 14:37:50 · answer #3 · answered by yupchagee 7 · 0⤊ 0⤋
4x+2=y
2x+4=z
z+5=y
4x+2 = z+5
2x+4 = z (multiply by -2 to be rid of x)
4x+2 = z+5
-4x-8 = -2z
-6 = -z + 5
z = 11
2x+4=z
2x+4=11
2x=7
x = 7/2
4x+2=y
4(7/2)+2=y
14+2=y
16=y
16-11=5 Check!
Original number = 7/2
2006-11-12 14:25:53 · answer #4 · answered by bourqueno77 4 · 0⤊ 1⤋
y = 4x + 2 mistake: z = 2x + 4
y - 5 = z
y - 5 = 2x + 4
4x + 2 - 5 = 2x + 4
4x - 3 = 2x + 4
2x = 7
x = 7/2
2006-11-12 14:31:52 · answer #5 · answered by Jake 1 · 0⤊ 0⤋
ok, you want to take a function, y=x, and turn it into y--x+2. First, enable's make it y=-x it really is ordinary. that is a mirrored image around the x=0 axis. yet then you favor to translate it, or flow it UP by 2 contraptions. it really is a translation of +2 alongside the y axis. So, you mirror it around the x axis, and then slide it by 2 up the y axis.
2016-11-29 02:14:31 · answer #6 · answered by Anonymous · 0⤊ 0⤋
I've answered 5 math question in tha past few minutes and im only 14...geez how many people dont know how to do thier homework!!
2006-11-12 14:22:16 · answer #7 · answered by No Name 1 · 1⤊ 0⤋
3.5
2006-11-12 14:24:10 · answer #8 · answered by randy 1 · 0⤊ 0⤋