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3 years ago

10 − 3(2a − 1) = 3a + 1

Mathematics

2 answers:

sveticcg [70]3 years ago

7 0

<h3> Answer:</h3>

a = 4/3

<h3>Step-by-step explanation: </h3>

10 - 3( 2a - 1 ) = 3a + 1

use the distributive property to multiply -3 by 2a -1

10 - 3 × 2a -3 × -1 = 3a + 1

10 - 6a + 3 = 3a + 1

collect like terms

10 + 3 - 6a = 3a + 1

13 - 6a = 3a + 1

Subtract 3a from both sides

13 - 6a - 3a = 3a - 3a + 1

13 - 9a = 1

subtract 13 from both side

13 - 13 - 9a = 1 - 13

- 9a = - 12

divide both side by -9

-9a / - 9 = - 12 / - 9

a = 4/3

xxMikexx [17]3 years ago

4 0

Answer:

4/3 =a

Step-by-step explanation:

10 − 3(2a − 1) = 3a + 1

Distribute

10 -6a +3 = 3a+1

Combine like terms

13 -6a = 3a+1

Add 6a to each side

13-6a+6a = 3a+6a +1

13 = 9a+1

Subtract 1 from each side

13-1 = 9a+1-1

12 = 9a

Divide by 9

12/9 = 9a/9

4/3 =a

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12 is 90% of what number? with steps

a_sh-v [17]

Answer:

<h3>Let's understand the concept:-</h3>

Here 12 is 90% of a number.
So we can say that 90% of That number is 12 .
In this way we can get the the number

<h3>Solution:-</h3>

Let,

the number=x

<h3>According to the question ,</h3>

${:}\longrightarrow$ $\sf 90\% \:of \;x=12$

We know 90%=90/100
so add it

${:}\longrightarrow$ $\sf {\dfrac {90}{100}}\times x=12$

${:}\longrightarrow$ $\sf {\dfrac {90x}{100}}=12$

Now use cross multiplication method

${:}\longrightarrow$ $\sf 90x=12\times 100$

${:}\longrightarrow$ $\sf 90x=1200$

Now interchange sides .

${:}\longrightarrow$ $\sf x={\dfrac {1200}{90}}$

${:}\longrightarrow$ $\sf x={\dfrac {200}{15}}$

Answer will come in decimals so we take approximate value.

${:}\longrightarrow$ $\sf x=13.3$

${:}\longrightarrow$ $\sf x=approximately \:13$

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