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forsale [732]
3 years ago
6

.Which of the following represents the standard form of the linear equation below? x=13y+12

Mathematics
1 answer:
gtnhenbr [62]3 years ago
3 0

Answer:

  B. 3x−y=36

Step-by-step explanation:

Multiplying the equation by 3 and subtracting the y-term gives you the desired form.

  x = 1/3·y +12

  3x = y + 36 . . . . . multiply by 3

  3x -y = 36 . . . . . . subtract y to get standard form

_____

Standard form has ...

  • only variable terms on the left side
  • a positive leading coefficient
  • only a constant on the right side
  • all coefficients mutually prime, integers where possible
  • variables in lexicographical order (optional, I'd say)
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Lori bought some cookies for $2 each and muffins for $3 each. She bought twice as
Lubov Fominskaja [6]

Answer:

2 cookies

Step-by-step explanation:

let c represent cookies, m represent muffins. set up a system of equations:

2c+3m=16

m=2c

(the top equation shows that cookies are $2 each, and muffins are $3, and that the total cost is $16. the bottom equation shows that Lori bought twice as many muffins as cookies).

then solve the system of equations by substitution, substituting 2c for m in the top equation:

2c+3(2c)=16

2c+6c=16

8c=16

c=2

this means that lori bought 2 cookies.

7 0
3 years ago
Read 2 more answers
What numbers multiplie to equal -30 but add to equal -1
VashaNatasha [74]

Answer:

5 and -6.

Step-by-step explanation:

When you add 5 and -6, you get -1. When they are multiplied, you get -30. I just did this by finding all of the factors that went into 30 and making one negative.

5 0
3 years ago
Roberta needs 12 zippers to make 3 of the same backpacks. If Roberta has 48 zippers, how many of those same backpacks can she ma
yaroslaw [1]
First, you need to find out how many zippers are used to make one bookbag. To do that, you divide the zippers used to make the 3 backpacks.

12 / 3 = 4

So, 4 zippers are used per bookbag. Then, you divide the number of available zippers by four to find out how many bags she can make.

48 / 4 = 12

Roberta can make 12 bookbags.
5 0
3 years ago
How do you solve 4377 divided by 8
alisha [4.7K]

Answer:

4,337 goes on top & 8 on the bottom

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8 & the answer is 542.12

3 0
3 years ago
How to solve this question? Please help me
Maurinko [17]

Answer:

≈ 82 feet

Step-by-step explanation:

Since the triangle is right use Pythagoras' identity to calculate distance (d)

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

Here the hypotenuse is the distance (d) between the 2 poles, hence

d² = 80² + 45² = 6400 + 2025 = 8425 ( take the square root of both sides )

d = \sqrt{8425} ≈ 82 feet ( to the nearest foot )

8 0
4 years ago
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