Plzzzzz help............Twelve decreased by twice a number is the same as 8 times the sum of the number plus 4. What is the number?Is the equation 2x-12=8(x+4)

Answers

Answer 1
Answer: Okay, the equation would be 12 - 2x = 8(x + 4), you got close!

what i would do first is distribute to get rid of those evil parenthesis and make  this all simple ^-^

So, we take 8 times x, and 8 times 4.

Our equation, is now 12 - 2x = 8x + 32

Now, what i would do, is simplify it. Get x to one side, and a whole number to the other. Well, for me it would be easier to keep the larger number on the right, and x on the left!

So we have to be fair, and keep it equal! So, i would start with.... subtracting 32. Since its a positive 32, to cancel it out we have to subtract 32, to get to zero! so, by subtracting 32 on both sides ( 12 - 32 and 32 - 32) we end up with -20 - 2x = 8x

Now looking at - 20 - 2x = 8x, i can see what i need to do. i need to get x to one side, and whole numbers to the other. There are no whole numbers on the right, just variables and coefficients, so i have to get that x away from the left!

So, im going to add 2x on both sides, to eliminate it! So we add 2x on the left to cancel it out, and add 2 x on the right to balance it out! We are now left with -20 = 10x

Now what we do is we get rid of that tag along right by the x! Yep, that little 10 there! He has to go!

How to we get rid of him? Well, he is being multiplied by the x! So, we have to do the opposite and divide to get him alone. So, we divide by 10 on both sides, and we are left with -2 = x!

Now, time to check your answer! Basically, you replace x with -2 in the equation! Here we go:

12 - 2(-2) = 8(-2 + 4)

First we should start with multiplying! when we multiply the -2 in the equation, we get 12 + 4 = 8(2), and we can finish that off by simplifying it to 12 + 4 = 16

when we simplify it and add 12 + 4, we get 16. So we are left with 16 = 16.

This equation is true, so we are right! -2 DOES equal x!

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Janet is 5 years older than her sister.the sum of their ages is 51.how old is her sister

Answers

Let us assume that the age of Janet's sister is = x
Then the age of Janet = x + 5
Now we also know that their combined age is equal to 51 years. Then we can write the equation as
x + (x + 5) = 51
2x + 5 = 51
2x = 51 -5
2x = 46
x = 46/2
   = 23
So the age of Janet = x + 5
                                = 23 + 5
                                 = 28 years
So the age of Janet's sister is 23 and Janet's age is 28
To find how old old her sister is you just do 51 -5 which will give you 46.

How many times can 3 go into 400

Answers

3 can go into 400 a total of 133 times, with a remainder of 1.

To determine how many times 3 can go into 400, we need to perform division.

When we divide 400 by 3, the quotient represents the number of times 3 can be evenly divided into 400. The remainder, if any, represents any leftover portion after the division.

Let's perform the division:

400 ÷ 3 = 133 remainder 1

The quotient is 133, which means 3 can go into 400 evenly 133 times. The remainder is 1, indicating that there is one left over after dividing 400 by 3.

To learn more about division click on,

brainly.com/question/32603805

#SPJ2

133.333333333 the 3 goes on forever

18 gallons an hour equals cups divided 1 minute

Answers

There are 16 cups in one gallon. There are 60 minutes in one hour. Dimensional analysis time!
Here's a pic.

All I did was change the gallons into cups in the hour into minutes. If you need any clarification then leave a comment. Good luck!

What is $0.1369 rounded to the nearest cent

Answers

Ok, what is $0.1369 rounded to the nearest cent? 

100 cents make a dollar which means the most possible cents not making a dollar is 99 cents

So that means you leave the first two decimals alone and focus on the last two.

What is 69 closer to? 70 or 60? Well, its larger than 65 which is the halfway point so its closer to 70

Is 70 closer to 0 or 100? Well, since 70 is past the halfway point which is 50, its closer to 100.

Think of 3 as 0 and the next number up which is 4 as 100, well, since 70 is closer to 100 than 0, its closer to 4.

So That means that 0.1369 rounded to the nearest cent is $0.14

Your answer rounded is $0.14

The probability that james will win two races in the next two days is 1/8 for tomorrow and 1/10 for the day after tomorrow. What is P(win tomorrow, then win the day after tomorroww)?

Answers

Answer:

\text{P(win tomorrow, then win the day after tomorrow)}=(1)/(80)[\tex]</p><p><strong>Step-by-step explanation:</strong></p><p><strong>Given : </strong> The probability that James will win two races in the next two days is 1/8 for tomorrow and 1/10 for the day after tomorrow.</p><p><strong>To find :</strong>  What is P(win tomorrow, then win the day after tomorrow)?</p><p><strong>Solution :</strong></p><p>Probability of winning two races in the next two days is</p><p><strong>For tomorrow - </strong> [tex](1)/(8)

For day after tomorrow - (1)/(10)

According to question :

Probability of win tomorrow, then win the day after tomorrow is given by multiple of probability of tomorrow and day after tomorrow.

i.e,

\text{P(win tomorrow, then win the day after tomorrow)}=\text{P(tomorrow)}* \text{P(day after tomorrow)}

\text{P(win tomorrow, then win the day after tomorrow)}=(1)/(8)* (1)/(10)

\text{P(win tomorrow, then win the day after tomorrow)}=(1)/(80)

1/80 because 1/8 times 1/10 equals 1/89

What is the multiplicative inverse of 41/59

Answers

multiplicative inverse means flipping the fraction upside down. the answer is 59/41