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castortr0y [4]
3 years ago
14

WWhat is the solution to the equation 1/2 X +3 equals 2/3 X plus one

Mathematics
2 answers:
RUDIKE [14]3 years ago
6 0
1/2x + 3 = 2/3x + 1....multiply everything by the common denominator of 6
3x + 18 = 4x + 6
3x - 4x = 6 - 18
-x = - 12
x = 12 <====

multiplying by the common denominator will get rid of the fractions
Vsevolod [243]3 years ago
3 0
1/2x+3=2/3x+1
Your goal is to get all the x's on one side and all the numbers on the other side initially in order to solve for x.

1/2x+3=2/3x+1
subtract 1 from both sides
1/2x+2=2/3x
now you need to find the least common multiple of both denominators and multiply that number by both the numerator and demoninator

The least common multiple of both denominators is 6.
2 goes into 6 3 times, so you have to multiply the 1/2 by 3/3.
3 goes into 6 2 times, so you have to multiply the 2/3 by 2/2.

2=4/6x - 3/6x
2=1/6x
In order to divide the 1/6 fraction, you multiply both sides by its inverse of 6/1.

2(6/1)= 1/6 * 6/1x
12=x

You can check the answer to be sure it's correct.
1/2x+3=2/3x+1
2= 4/6(12) - 3/6(12)
2=8-6
2=2

Hope this helps!!  :)
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(4.8x10x7) + 6,500,000 what is the value of the expression
Fiesta28 [93]

Answer:

=(48*7) +65*10^5

=((40+8) *7) +65*10^5

=(280+56)+65*10^5

=336+65*10^5

=.336*10^3+65*10^5

=.00336*10^5+65*10^5

=(.00336+65) *10^5

=64.00336*10^5

4 0
3 years ago
Evaluate -8w + 3z when w = 2.2 and z = -9.1.
atroni [7]
-8w+3z
w=2.2
z=-9.1

-8(2.2)+3(-9.1)
-17.6-27.3
-44.9

The answer is -44.9
8 0
3 years ago
Read 2 more answers
The point (21,32) is on a line with slope 1.5.
Oxana [17]
We can use the equation: y=mx+b
x represents the x-value, y represents the y-value, m represents slope, and b represent the y-intercept.

We must plug in what we know in order to find the value of b.
32 = 1.5*21 + b
32 = 31.5 + b
So b = 0.5

Now we know our equation is y = 1.5x + 0.5

We can find any other point on the line by plugging in any x-value. Let's try 5.
y = 1.5*5 + 0.5
So y =8 and our point is (5,8)
7 0
3 years ago
You need to cover the playground of a child development center with mulch. the playground is 125 feet long and 60 feet wide. you
kirill [66]
The answer is 139 cubic yards

This mulch will be of cylindrical shape.
The volume (V) of a cylinder is: 
V = l · w · h           (l - length, w - width, h - height (in our example, height = depth)

It is known:
l = 125 feet
w = 60 feet
h = 6 inches = 0.5 feet

V = l · w · h = 125 · 60 · 0.5 = 3750 feet³

Since 1 cubic foot is 0.037 cubic yards, 3750 cubic feet are 139 cubic yards:
0.037 ·  3750 feet³ = 138.75 cubic yards ≈ 139 cubic yards
4 0
3 years ago
Answer questions 1, 2, 3 and challenge
hjlf
1. find volume
V=LWH
V=25*13*14
V=4550
each covers 1000
how many will cover the whole thing?
we can't put 4 becuase that leaves 550 uncovered
add another


5 is answer (it is too much , but at leas not too little) answer is D




2.
V=LWH
V=6*4*10
V=240

answer is D






3.  count how many are there, don't forget the hidden ones
13 cubes
volume=legnth tiems width times height
cubes so
v=side^3
side=3
3^3=27
13 cubes
13*27=351 in^3


challenge (this is meant to challenge you, not for you to ask people, but I will solve anyway, robbin you of experience)

V=LWH
V=5880
H=30
5880=LW30
divide both sides by 30
196=LW
they have square bases so L=W
196=L^2
sqrt both sides
14=L=W
the side legnth is 14in
4 0
4 years ago
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