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Sedaia [141]
3 years ago
8

What is the solution of 2/3x = 12

Mathematics
1 answer:
Ivahew [28]3 years ago
3 0

Answer:

x=18

Step-by-step explanation:

Isolate the variable

2/3 x=12

divide by 2/3

x=18

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Jeremy is packaging a stew containers.There are 8 3/4 cups of stew that need to put into 5 to go containers equally.How many cup
11111nata11111 [884]

Answer:

1 3/4 cups

Step-by-step explanation:

In order to be able to equally divide the stew into 5 containers we need to turn everything into the same format, in this case it would be by multiplying the whole number and the denominator and then adding the numerator like so

(8 * 4) + 3 =  \frac{35}{4}

Now we can divide the numerator by 5 (container) in order to calculate how much stew each container will get.

\frac{35}{4} / 5 = \frac{7}{4}

So each container will get 7/4 of the Stew or 1 3/4 cups

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4 years ago
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Answer:

1. Certain

2. Impossible

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4. Unlikely

Step-by-step explanation:

I believe this is correct. Hope this helps!

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Solve for x <br> 8x+1&gt;−31
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8x + 1 >  - 31 \\ 8x >  - 1 - 31 \\ 8x >  - 32 \\ x >  \frac{ - 32}{8}  \\ x >  - 4

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Which is the completely factored form of 18x^4 -42x^3+24x^2
ivann1987 [24]

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Find the co-ordinates of the point of trisection of the line joining the points A(1,8) and B(4,2).
Licemer1 [7]

<u>coordinates of the point are (2,6) and (3,4)</u>

Answer:

Solution given:

let the given point be A(1,8) and B(4,2).

P and Q are the two points on AB such that

AP=PQ=QB=k

now

comparing AP and PB

AP=k

PB=2k

ratio of AP and PB =\frac{1k}{2k}= ratio 1:2

now

finding p

for this

(m_1,m_2)=(1,2)

For AB

(x_1,y_1)=(1,8)

(x_2,y_2)=(4,2)

now by using division formula

(x,y)=(\frac{m_1x_2+m_2x_1}{m_1+m2},\frac{m_1y_2+m_2y_1}{m_1+m2})

=(\frac{1*4+2*1}{1+2},\frac{1*2+2*8}{1+2})=(2,6)

similarly

Q divides AB

Ratio of AQ and QB =\frac{2k}{1k}= ratio 2:1

(x_1,y_1)=(1,8)

(x_2,y_2)=(4,2)

(m_1,m_2)=(2,1)

by using division formula

(a,b)=(\frac{m_1x_2+m_2x_1}{m_1+m2},\frac{m_1y_2+m_2y_1}{m_1+m2})

=(\frac{2*4+1*1}{2+1},\frac{2*2+1*8}{2+1})=(3,4)

4 0
3 years ago
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