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andrey2020 [161]
2 years ago
15

What makes this equation true?

Mathematics
1 answer:
DIA [1.3K]2 years ago
5 0

Answer:

    B.\cfrac{1}{2}

<h3>Given equation</h3>

  • \cfrac{12y-1}{2} =\cfrac{9y+8}{5}

<h3>Solve it for y</h3>

1. Cross - multiply:

  • 5(12y-1)=2(9y+8)

2. Open parenthesis:

  • 60y-5=18y+16

3. Collect like terms:

  • 60y-18y=16+5

4. Simplify:

  • 42y=21

5. Divide both sides by 42:

  • y=21/42=1/2

Matching answer choice is B

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PLEASE HELP!<br> WILL MARK BRAINLIEST!
RideAnS [48]

Answer:

1) 7m

2) 13

3) 4x^2y

4) 6s^3t^4

Step-by-step explanation:

gcf means the the greatest factor that works for both terms

1) 21m^3 and 28m

    let's first find the gcf for the coefficient

    21 and 28, the gcf is 7. (hopefully thats easy to explain)

    the gcf for the variables is the same mindset as the numbers

    m^3 and m, both can be factored by m

    so the gcf is 7 * m which is 7m

2)

  13x and 26

  let's first find the gcf for the coefficient

  13 and 26, gcf is 13

  there's only one variable, x, so there's not gcf for that

 so the gcf is just 13

3)

  8x^2y and -12x^3y^2

  let's first find the gcf for the coefficient

  8 and -12, the gcf is 4 (you can also say -4)

  for the variables , same mindset

 x^2y and x^3y^2

 the gcf for x is x^2, and for y it is just y

 so 4 * x^2 * y = 4x^2y

by understanding 3) hopefully you can understand 4)

pls comment for any questions

7 0
4 years ago
A library has an initial late fee of $0.50 cents and charges an additional $0.05 per day. What is the rate of change?
astraxan [27]

Answer:

Rate = \$0.05

Step-by-step explanation:

Given

Base\ Amount = \$0.50

Additional = \$0.05

Required

Determine the rate of change.

From the given parameters, we understand that the on a daily basis, there's a charge of $0.05.

This charge represent the rates at which the fee changes on a daily basis.

Hence:

Rate = \$0.05

8 0
3 years ago
1) How many bows can you make from 16 meters of ribbon if 1/2 of a meter of ribbon makes one bow?
Ad libitum [116K]

Answer:

1) you can make 32 bows

2) a. 16 b.8

Step-by-step explanation:

1) if you have 16 meters of ribbon and it takes 1/2 meters to make one now, you would divide 16 by 1/2 and get 32

2)if you divide 8 by 0.5 you get 16 and if you divide 4 by 0.5 you get 8

3 0
3 years ago
Which logarithmic function can be used to approximate the value of y in the equation 4^y=5?
spayn [35]
From the definition of logarithm, we know that:

$a^y=b\quad\iff\quad y=\log_ab\qquad\quad \,\text{when }a,b\ \textgreater \ 0\,\,\text{ and }\,\,a\neq1

In this case a=4 and b=5 so:

$\boxed{y=\log_45}
3 0
4 years ago
***"
elena-s [515]

Answer:

Option B:  3(27b + 9c - 5d)

Step-by-step explanation:

The equation is actually 8lb+ 27c - 15<u>d</u>

A common factor is 3:

3(27b + 9c -5d)

Option B:  3(27b + 9c - 5d)

7 0
2 years ago
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