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Rzqust [24]
3 years ago
7

-5(8a+1)+6=281 Does anyone know the answer

Mathematics
2 answers:
Contact [7]3 years ago
8 0

Step 1: Distribute

-40a - 5 + 6 = 281

Step 2: Combine Like Terms

-40a + 1 = 281

Step 3: Move Variables and Constants to Different Sides

-40a = 280

Step 4: Divide

a = -7

Hope this helps!

Murrr4er [49]3 years ago
8 0

a = -7

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

-5 ( 8a + 1 ) + 6 = 281

Step 1 :- Distribute -5 through parantheses.

  • -5 × 8a + 5 × 1 + 6 = 281
  • -40a<u> </u><u>-</u><u> 5 + 6</u> = 281

Step 2 :- Combine like terms.

  • -40a<u> + 1 </u>= 281

Step 3 :- Move constant to right-hand side and change their sign.

  • -40a = <u>281 - 1</u>

Step 4 :- Subtract the numbers.

  • -40a = 280

Step 5 :- Divie both side by -40 .

  • -40a / -40 = 280 / -40
  • a = -7
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Evaluate: <br><br>6-(2/3)^2<br><br>A. 17/3<br>B. 52/3<br>C. 49/9<br>D. 50/9​
Komok [63]

Answer:

The correct answer is: "Option [D]".

Step-by-step explanation:

Hi student, let me help you out!

<u>....................................................................................................................................</u>

Let's use the acronym PEMDAS. With the help of this little acronym, we will not make mistakes in the Order of Operations!  :)

\dag\textsf{Acronym \: PEMDAS}

P=Parentheses,

E=Exponents,

M=Multiplication,

D=Division,

A=Addition,

S=Subtraction.

Now let's start evaluating our expression, which is \mathsf{6-(\cfrac{2}{3})^2}

According to PEMDAS, the operation that we should perform is "E-Exponents".

Notice that we have a fraction raised to a power. When this happens, we raise both the numerator (2 in this case) and the denominator (3 in this case) to that power, which is 2. After this we obtain  \mathsf{6-\cfrac{4}{9}}.

See, we raised both the numerator and the denominator to the power of 2.

Now what we should do is subtract fractions.

Note that 6 and -4/9 have unlike denominators. First, let's write 6 as a fraction: \mathrm{\cfrac{6}{1}-\cfrac{4}{9}}. Now let's multiply the denominator and the numerator of the first fraction times 9: \mathrm{\cfrac{54}{9}-\cfrac{4}{9}}.

See, now the fractions have the same denominator. All we should do now is subtract the numerators: \mathrm{\cfrac{50}{9}}.

∴, the answer is Option D.

Hope this helped you out, ask in comments if any queries arise.

Best Wishes!

\star\bigstar\underline{\overline{\overline{\underline{\textsf{Reach \: far. Aim \: high. Dream \: big.}}}}}\bigstar\star

\underline{\rule{300}{5}}

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