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3 years ago

1/3(2x-8) =4 A. 2 B. 6 C.10 D. 10/3

Mathematics

2 answers:

bekas [8.4K]3 years ago

7 0

Answer:

x=10

Step-by-step explanation:

2x-8=12

2x=12+8

2x=20 divide by 2

x=10

siniylev [52]3 years ago

4 0

Answer:

x = 10

Step-by-step explanation:

1/3(2x-8) =4

Multiply each side by 2

3*1/3(2x-8) =4*3

2x-8 = 12

Add 8 to each side

2x = 12+8

2x= 20

Divide by 4

2x/2 =20/2

x= 10

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Read 2 more answers

You have dimes and quarters in your pocket. There are 12 coins that total $2.25. Write and solve a system of linear equations to

icang [17]

Answer:

Hence the System of equation are $\left \{ {{x+y=12} \atop {0.1x+0.25y=2.25}} \right.$

There are 5 dimes and 7 quarters in my pocket.

Step-by-step explanation:

Let Number of dimes be 'x'.

Also Number of quarters be 'y'.

Now Given:

Total Number of Coins = 12

So the equation can be framed as;

$x+y=12 \ \ \ \ equation \ 1$

Also Given:

Total Amount in pocket = $2.25

Now we know that 1 dime = $0.1

Also 1 quarter =$0.25

So the equation can be framed as;

$0.1x+0.25y = 2.25 \ \ \ \ equation \ 2$

Hence the System of equation are $\left \{ {{x+y=12} \atop {0.1x+0.25y=2.25}} \right.$

Now Solving the equation we get;

Now Multiplying equation 2 by 10 we get;

$10(0.1x+0.25y)=2.25\times10\\\\10\times0.1x+10\times0.25y=22.5\\\\x+2.5y=22.5 \ \ \ \ equation\ 3$

Now Subtracting equation 1 from equation 3 we get;

$(x+2.5y)-(x+y)=22.5-12\\\\x+2.5y-x-y =10.5\\\\1.5y =10.5\\\\y= \frac{10.5}{1.5}= 7$

Now Substituting the value of y in equation 1 we get;

$x+y=12\\\\x+7=12\\\\x=12-7 =5$

Hence there are 5 dimes and 7 quarters in my pocket.

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3 years ago