Tina cut 3 wood boards each into 4 equal pieces she used 3 of the pieces for a craft. What fraction of the boards does she have left Write this fraction as a mixed number

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Step-by-step explanation:

Given:

Tina cut 3 wood boards each into 4 equal pieces.

She used 3 of the pieces for a craft.

Question asked:

What fraction of the boards does she have left ?

Write this fraction as a mixed number.

Solution:

As she cuts 3 wood board each into 4 equal pieces :-

Total number of equal pieces =

Pieces of wood used = 3

Remaining pieces = 12 - 3 = 9

By unitary method:

4 pieces constitute = 1 wood board

1 piece constitute =

9  pieces constitute =

Now, convert it into mixed fraction:

Therefore, fraction of the boards she have left is .

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.

step-by-step explanation:

step 1: solve one of the equations for one of the variables. let's solve the first equation for y:

step 2: substitute that equation into the other equation, and solve for x.

step 3: substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.