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3 years ago

Solve the equation 12x-14=4x+10

Mathematics

2 answers:

ziro4ka [17]3 years ago

3 0

Answer:

x=3

Step-by-step explanation:

12x-14=4x+10

Subtract 4x from each side

12x-4x-14=4x-4x+10

8x - 14 = 10

Add 14 to each side

8x - 14+14 = 10+14

8x = 24

Divide each side by 8

8x/8 = 24/8

x = 3

lilavasa [31]3 years ago

3 0

Answer: x = 3

Explanation: This problem can be done either of two ways.

By putting the variables together on the left and

the numbers together on the right or vice versa.

If we put our variables together on the left and our

numbers together on the right, we would start by

subtracting 4x from both sides to get 8x - 14 = 10.

Next, we add 14 to both sides to get 8x = 24.

Finally, we divide both sides by 3 to get <em>x = 3</em>.

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Jello someone help is this correct answer <br> No links or files <br> Correct answer please

Dvinal [7]

Answer:

c is the right answer

Step-by-step explanation:

5 0

3 years ago

An investment of $5,000 is made at a simple annual interest rate of 3%. How much additional money must be invested at a simple a

liubo4ka [24]

Answer: Additional money is $6250.

Step-by-step explanation:

Since we have given that

Amount of investment = $5000

Rate of simple interest = 3%

Let the additional amount of investment be 'x'.

Rate of simple interest = 3.9%

Total annual interest rate on total investment = 3.5%

So, According to question, it would be

$5000\times 0.03+x\times 0.039=(5000+x)\times 0.035\\\\150+0.039x=175+0.035x\\\\0.039x-0.035x=175-150\\\\0.004x=25\\\\x=\dfrac{25}{0.004}\\\\x=\$6250$

Hence, Additional money is $6250.

3 0

3 years ago

Algebra 2: PLEASE HELP ME!!

vfiekz [6]

Looks more like Trig than Algebra II

They want us to apply the sum angle formula to $\sin(x + \frac{5 \pi}{6})$

5π/6 is 150°; I find it easier to think in degrees.

When the tangent of x is 3/4 that's a right triangle with opposite 3, adjacent 4 so hypotenuse 5. So a sine of 3/5 and a cosine of 4/5, both positive because we're told x is in the first quadrant.

The sine sum angle formula is

$\sin(a+b) = \sin a \cos b + \cos a \sin b$