MATHEMATICS MIDDLE SCHOOL

3x-3=2x

Please help me...?
10 points given

Answers

Answer 1
Answer: 3x - 3 = 2x

Add 3 on both sides

3x - 3 + 3 = 2x + 3
3x = 2x + 3

Subtract 2x on both sides

3x - 2x = 2x + 3 - 2x
3x - 2x = 3
x = 3

So, your final answer is x = 3.
Answer 2
Answer: 3x-3=2x \n \n -3 = 3x - 3x \ / \ subtract \ 3x \ from \ each \ side \n \n -3 = -x \ / \ simplify \n \n 3 = x \ / \ multiply \ each \ side \ by \ -1 \n \n x = 3 \ / \ switch \ the \ sides \n \n Answer: \fbox {x = 3}

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The number of employees for a certain company has been decreasing each year by 6​%. If the company currently has 720 employees and this rate​ continues, find the number of employees in 10 years.

Answers

Answer:

There will be 387

Step-by-step explanation:

This question is an example of compound decrease.

To work this out you would first have to convert the percentage of 6 into a decimal. You can do this by dividing the percentage of 6 by 100, this gives you 0.06. This is because percentages are out of 100.

The next step is to minus 0.06 from 1, this gives you 0.94. This is because we are working out the percentage decrease.

Finally to work this out you would multiply the amount of 720 by 0.94 to the power of 10, this gives you 387.80. However there can not be a decimal of a person and so it becomes 387. This is because it is working out 6% and subtracting it and then working out 6% of that new amount. This repeats 10 times.

1) Divide 6 by 100.

6/100=0.06

2) Minus 0.06 from 1.

1-0.06=0.94

3) Multiply 720 by 0.94 to the power of 10.

720*0.94^10=387.80

4) Round down

387
So the employees are decreasing by 6% every year.

We would represent this as: 0.06

We would represent 720 as: 720(1- .05)^0=720

So the equation would be: 720(1-0.06)^10=X
720(0.94)^10=X
720(0.53861511409)=X
387.8=X
388=X
So, after 10 years the company would have 388 employees left.

Add. Use models if needed. (4x – 4) + (–x + 2)

Answers

Answer:

3x-2 is your correct answer

Answer:

A.  3x – 2

Step-by-step explanation:

10 POINTS! Please help me on the attached file!

Answers

Your answer is correct because 4.2 is half of 8.4 so 4.6 is double of 2.3.
the answer is 4.6, the scale factor for the figure is 2. 2.3 times 2 is 4.6

$1400 from​ fund-raisers in a 18​-month CD paying 3.7​%

Answers

Answer:

The junior class will receive US$ 1,479.77 when it cashes in the Certificate of Deposit.

Step-by-step explanation:

1. Let's review the data given to us for answering the question:

Amount invested in the Certificate of Deposit = US$ 1,400

Duration of the CD = 18 months

Interest rate = 3.7% compounded monthly

2. Let's find the future value of the Certificate of Deposit after 18 months, using the following formula:

FV = PV * (1 + r) ⁿ

PV = Amount invested = US$ 1,400

number of periods (n) = 18

rate (r) = 3.7% = 0.037 annually or 0.003083 monthly

Replacing with the real values, we have:

FV = 1,400 * (1 + 0.003083) ¹⁸

FV = 1,400 * (1.003083) ¹⁸

FV = 1,400 * 1.056978

FV = US$ 1,479.77 (Rounding to the nearest cent)

The junior class will receive US$ 1,479.77 when it cashes in the Certificate of Deposit.

What is the volume of the following rectangular prism?

Answers

Answer:  The required volume of the given rectangular prism is 14(2)/(3)~\textup{cubic units}.

Step-by-step explanation:  We are given to find the volume of the rectangular prism shown in the figure.

We know that

the VOLUME of a rectangular prism with base area b sq. units and height h units is given by

A=bh.

For the given rectangular prism, we have

b=7(1)/(3)=(22)/(3),~~h=2.

Therefore, the VOLUME of the given rectangular prism is

A=bh=(22)/(3)*2=(44)/(3)=14(2)/(3).

Thus, the required volume of the given rectangular prism is 14(2)/(3)~\textup{cubic units}.
14 2/3

How:

7 1/3 times 2 is 14 2/3

What's 4/9 divide 1 7/15 plz

Answers

I hope this helps you
0.444444444444 (4/9)
0.466666666666 (7/15)
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