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son4ous [18]
3 years ago
12

How do I solve 2x-3y=12 step by step?

Mathematics
1 answer:
anzhelika [568]3 years ago
4 0

Answer:

Step-by-step explanation: •Subtract 2x from both sides of the equation.

-3y = 12 - 2x

•Divide each term by -3y = 12 - 2x by -3.

-3y/-3 = 12/-3 + -2x/-3

•Cancel the common factor of -3.

12/-3 + -2x/-3

•Divide y by 1.

y = 12/-3 + -2x/-3

•Simplify each term.

•Divide 12 by -3.

y = -4 + -2x/-3

•Dividing two negatives values results in a positive value.

y = -4 + 2x/3

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Mr. West is standing on a cliff that is 25 1/5meters above the surface of the ocean. He spots a dolphin that is 2 3/5 meters und
zhenek [66]

Answer:

Total distance from Mr. West to dolphin =27\frac{4}{5}\ meters

Step-by-step explanation:

Height of cliff on which Mr. West is standing above the surface of ocean =25 \frac{1}{5} \ meters

Mr. West spot the dolphin under the water at a depth of =  2\frac{3}{5} \ meters

∴ Total distance from Mr. West to dolphin=(25 \frac{1}{5}+2\frac{3}{5})\ meters

Adding mixed numbers

(25 \frac{1}{5}+2\frac{3}{5})

Adding whole numbers first.

=25+2+\frac{1}{5}+\frac{3}{5}\\=27+\frac{1}{5}+\frac{3}{5}

Adding fractions by taking LCD.

=27+\frac{1+3}{5}\\=27+\frac{4}{5}\\=27\frac{4}{5}\ meters

5 0
3 years ago
Why do certificates of deposit tend to offer better interest rates than money market accounts?
victus00 [196]

Answer:

b

Step-by-step explanation:

Certificates of deposit are only available to the bank's most proven and valuable customers, so the bank can afford to give a greater interest rate on them.

6 0
3 years ago
What is the 32nd term of 311, 305, 299
nata0808 [166]

Answer:

503

Step-by-step explanation:

For an arithmetic sequence, the n-th term is found by

a_n = a_1 + (n - 1)d

To find d (the common difference) we can simply subtract one of the terms by the last, for example:

d = 299 - 305 \\d = -6 \\

The common difference must be the same throughout the entire sequence, so we can do it once more just to be sure:

d = 305 - 311\\d = -6

We also have to know that a_1 stands for the first term of the sequence, which in this case is 311.

Now that we know this, let's find the 32nd term

a_{32} = 311 + (32 - 1)-6\\a_{32} = 311 + 192\\a_{32} = 503

Good luck!

4 0
3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
Solve (x + 3)2 – 5 = 0 using the quadratic formula.
Harlamova29_29 [7]

Answer:

Step-by-step explanation:

(x+3)² -5 =0 , use the formula (a+b) ² = a²+b²+2ab

x²+9 +6x -5 =0 , combine like terms

x²+6x +4 =0, use the quadratic formula x = (-b±√b²-4ac)/2a

x= (-6 ±√6²-4*1*4)/2*1

x= (-6 ± √36-16) /2

x= (-6±√20)/2

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x= -3 +√5 and x= -3 -√5

4 0
3 years ago
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