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Ad libitum [116K]
3 years ago
11

How do i solve 2/3x + 4 = 2 + 1/2x

Mathematics
1 answer:
Rufina [12.5K]3 years ago
8 0

Answer:

x= -12

Step-by-step explanation:

Firstly, you must isolate x. To do this, we would subtract 1/2x from both sides. This would give us the equation 1/6x+4=2. Then, you would subtract 4 from both sides to even further isolate x. This would give us the equation: 1/6x=-2. Lastly, divide both sides by 1/6 to get x=-12.

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From the street, you drive down 6 levels in a parking garage. When you leave, you drive back up 6 levels. Which expression repre
oksian1 [2.3K]

Answer:

1.)

Step-by-step explanation:

When driving downwards, that is negative because you are subtracting. Then, when driving upwards, you are adding.

8 0
3 years ago
Briony invests some money. Interest is paid on the money at a rate of 2% per annum for the first year and 1% per annum for the s
nalin [4]

Answer:

Brionny invested £8400.

Step-by-step explanation:

Simple Interest

This is a simple interest problem.

The simple interest formula is given by:

E = P*I*t

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

T = E + P

In this question:

We divide in two intervals, the first year and the second year. We have to know that the amount after the end of the first year is the principal at the start of the second year.

First year:

Amount of 2% interest, during 1 year.

So the interest earned is:

E = P*I*t = P*0.02*1 = 0.02P

The total amount at the end of the first year is:

T = E + P = 0.02P + P = 1.02P

Second year:

We have that:

P = 1.02P

The interest earned is of:

E = P*I*t = 1.02P*0.01*1 = 0.0102P

The total amount is:

T = E + P = 0.0102P + 1.02P = 1.0302P

After two years, the investment is worth £8653.68 How much did Briony invest?

So

1.0302P = 8653.68

P = \frac{8653.68}{1.0302}

P = 8400

Brionny invested £8400.

3 0
3 years ago
Line segments AB and CD intersect at point E. Ray EF extends from point E.
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Answer:

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Step-by-step explanation:

161=3x+16+2x

5x=145

x=29

7 0
3 years ago
What is 235 rounded to the nearest ten and explain to me why?
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There is no decimal place
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Student b? could you send a full picture
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