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Mice21 [21]
3 years ago
14

Hi, could someone please help me with this Math problem, Thank you.

Mathematics
1 answer:
Naddik [55]3 years ago
5 0
<h3>Explanation:</h3>

18. The 5 only needs to be "distributed" to terms that are inside the parentheses where 5 is on the outside. Here, the only term in the parentheses is 2x. Anne apparently also multiplied -3 by 5, erroneously. The -3 term is not inside the parentheses, so should be left alone when "distributing" the 5.

The left side of the equation simplifies to 10x -3, so Anne should have had ...

  10x -3 = 20x +15

  -18 = 10x . . . . . . . . . add -15-10x

  -1.8 = x . . . . . . . . . . divide by 10.

The solution is x = -1.8.

___

19. Procedure: Subtract the right side of the equation from both sides. Use the distributive property as many times as necessary to eliminate parentheses. Collect terms. Divide by the coefficient of x. Subtract the constant.

  5[3(x+4) -2(1 -x)] -x -15 = 14x +45 . . . . . . . original equation

  5[3(x+4) -2(1 -x)] -x -15 -14x -45 = 0 . . . . . right side subtracted

  5[3x+12 -2 +2x] -x -15 -14x -45 = 0 . . . . . . inner parentheses eliminated

  15x +60 -10 +10x -x -15 -14x -45 = 0 . . . . . outer parentheses eliminated

  (15 +10 -1 -14)x +(60 -10 -15 -45) = 0 . . . . . like terms associated

  10x -10 = 0 . . . . . . . . . . . . . . . . . . . . . . . . . . simplified

  x - 1 = 0 . . . . . . . . . divide by the coefficient of x

  x = 1 . . . . . . . . . . . . subtract -1 (same as add 1)

The solution is x = 1.

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What is the positive square root of 4?
Scrat [10]

Answer:

2 is correct answer

Step-by-step explanation:

\sqrt{4}  \\ =   \sqrt{2 \times 2}  \\  = 2

hope it helped you:)

6 0
3 years ago
Aiden borrows a book from a public library. He read a few pages on day one. On day two, he reads twice the number of pages than
Fofino [41]

Let the number of pages read on day 1 be = x

Then on day 2 he read twice the pages from day one, it is = 2x

On 3rd day he read 6 pages less than 1st day, it is = x-6

Total pages are = 458

The equation becomes: x+2x+x-6=458

4x-6=458

4x=464

x=116

So on the third day, Aiden read x-6=116-6=110 pages.

5 0
3 years ago
There are (4^9)^5 ⋅ 4^0 books at the library. What is the total number of books at the library?
Sidana [21]
(4^9)^5 \cdot 4^0=4^{9*5} \cdot 1=4^{45}
3 0
3 years ago
In a group of 60 students, 18 students take algebra i, 20 students take algebra ii, and 10 students take both subjects. how many
nadya68 [22]

Answer:

  32

Step-by-step explanation:

The number that take algebra i includes those who take both subjects, as does the number taking algebra ii. Then the number taking algebra i alone is ...

   18 -10 = 8 . . . . . take only algebra i

So the number taking any kind of algebra is ...

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and the number not taking either subject is ...

  60 -28 = 32 . . . not taking either subject

8 0
3 years ago
15x²y³z÷3xy² simplify
umka21 [38]

Answer:

5xyz

Step-by-step explanation:

\frac{15x^2y^3z}{3xy^2}

Step 1: Divide the numbers

\frac{15}{3}=5\\\\=\frac{5x^2y^3z}{xy^2}

Step 2: Simplify

\frac{x^2}{x}\\\\= x\\\\=\frac{5xy^3z}{y^2}

Step 3: Simplify

\frac{y^3}{y^2} = y\\\\=5xyz

Therefore, the simplified answer is =5xyz

7 0
2 years ago
Read 2 more answers
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