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LUCKY_DIMON [66]
3 years ago
7

Solve the following equation, answer as a reduced, mixed number. Then place the correct number in the box provided.

Mathematics
2 answers:
qaws [65]3 years ago
4 0
7(x-2) + 3(x + 2) = 5(x-6)...distribute thru the parenthesis
7x - 14 + 3x + 6 = 5x - 30...combine like terms
10x - 8 = 5x - 30...subtract 5x from both sides
10x - 5x - 8 = -30....add 8 to both sides
10x - 5x = -30 + 8...combine like terms
5x = - 22
x = -22/5 = - 4 2/5 <==
liq [111]3 years ago
4 0

the correct answer is x = - 4 2/5

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To solve the equation 5sin(2x)=3cosx, you should rewrite it as___.​
galina1969 [7]

Answer:

A

Step-by-step explanation:

We want to solve the equation:

5\sin(2x)=3\cos(x)

To do so, we can rewrite the equation.

Recall the double-angle for sine:

\sin(2x)=2\sin(x)\cos(x)

By substitution:

5\left(2\sin(x)\cos(x)\right)=3\cos(x)

Distribute:

10\sin(x)\cos(x)=3\cos(x)

We can subtract 3cos(x) from both sides:

10\sin(x)\cos(x)-3\cos(x)=0

And factor:

\cos(x)\left(10\sin(x)-3\right)=0

Hence, our answer is A.

*It is important to note that we should not divide both sides by cos(x) to acquire 10sin(x) = 3. This is because we need to find the values of x, and one or more may result in cos(x) = 0, and we cannot divide by 0. Hence, we should subtract and then factor.

5 0
3 years ago
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What is the value of a in the equation 5a-10b=45, when b=3?
Ainat [17]

Answer:5a-30=45


Step-by-step explanation:

So something times 5 minus 30 will give you 45


8 0
3 years ago
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zhannawk [14.2K]

Answer:

In a year she will pay $900

The cost of the installation and a month would be $225

The cost of a year and installation would be $1,080

Step-by-step explanation:

         </3 PureBeauty

           

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Answer:

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Step-by-step explanation:

6 0
3 years ago
-2-5(4n-6)=-132 not really sure how to do this one ..
uranmaximum [27]

All you have to do is follow PEMDAS (if you don't know what that is, search it up).


-2-5(4n-6)=-132

Distribute the 5 to everything in the parentheses.

-2-20n+30= -132

Combine like terms.

-20n+28 = -132

Subtract 28 from both sides.

-20n = -160

Divide by -20 on both sides.

n = 8

8 0
3 years ago
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