Solve the equation: 2/3x+1/4=3

Mathematics

1 answer:

Lady_Fox [76]2 years ago

8 0

Answer:

x = 33/8

Step-by-step explanation:

2/3 x + 1/4 = 3

Subtract 1/4 from both sides.

2/3 x = 3 - 1/4

2/3 x = 12/4 - 1/4

2/3 x = 11/4

Multiply both sides by 3/2.

3/2 * 2/3 x = 3/2 * 11/4

x = 33/8

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Molly tried to evaluate 93\times5193×5193, times, 51 using partial products. Her work is shown below.

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Given the working on a partial product of 93 and 51 carried out by Molly as shown:

$\begin{array}{llrr} &&93 \\ &&\underline{{}\times51} \\ &\blueD{\text{Step 1}}&\blueD{3}& \blueD{1\times3\text{ ones}}\\ &\greenD{\text{Step 2}}&\greenD{90}& \greenD{1\times 9\text{ tens}}\\ &\maroonD{\text{Step 3}}&\maroonD{150}& \maroonD{50\times 3\text{ ones}}\\ &\goldE{\text{Step 4}}&\underline{{}+\goldE{ 4{,}500}}& \goldE{50\times 9\text{ tens}}\\ &\purpleD{\text{Step 5}}&\purpleD{4{,}743}& \end{array}$