Simplify: 12 + 8 + 12 - 20

Answers

Answer 1

Answer: 12 + 8 = 20
12 - 20 = -8
20 + - 8 = 20 - 8 = 12

12 + 8 + 12 - 20 can be simplified to just 12.

Related Questions

1. -(p - 5) = -5 - 7(p + 2)2.7(r - 8) = -2(r + 1)
15 points!!!!!!! The figures shown are similar. What is the scale factor?A 1/6 B. 2/3 C. 1/4 D. 3/4
Solve for x: 3|2x − 2| + 6 = 18. x = 3, x = −3 x = 3, x = −1 x = 1, x = −1 x = −3, x = 1
How to solve an area
The angle whose sine is 0.39581 is? how do I find the degree?

Please solve the problem.

Answers

OK. I did it, and I have the solution.
_____________________________________

The length of the deck is (5 + 2x) .
The width of the deck is   (4 + 2x) .

If the deck didn't have that big hole in the middle where the pool is,
then its area would be

   (5 + 2x) · (4 + 2x) .

When you multiply that all out, you get    Area = 4x² + 18x + 20

and the question tells us that the area of the whole big rectangle is 90 yds² .
So we can write

   4x² + 18x + 20 = 90 .

Subtract 90 from each side:    4x² + 18x - 70 = 0
Divide each side by 2 :    2x² + 9x - 35 = 0

You can use the quadratic equation to solve that and find out that
x = 2.5 yards, and that's what the question is asking you.
___________________________________________________

That makes the deck 10 yds high and 9 yds wide.

Total area of the whole big rectangle, (deck + pool ), = 90 yds².

What does 1/4 of a can of coffee cost if 4 cans of coffee cost $1.60

Answers

We know that 4 cans of coffee cost $1.60. So, if we divide that number by 4, we get

$4\text{ cans of coffee} = 1.60 \iff \frac{4\text{ cans of coffee}}{4} = (1.60)/(4) \iff 1 \text{ can of coffee} = 0.4$

Now we can simply repeat this process again: if we divide both sides by 4, we get

$1 \text{ can of coffee} = 0.4 \iff \frac{1 \text{ can of coffee}}{4} = (0.4)/(4) \iff (1)/(4)\text{ cans of coffee} = 0.1$

What is the answer for 56% of 80

Answers

56% of 80 56/100 X 80/1= 224/5 = 44 4/5 or 44.8

0.56 x 80 = 44.8

(56% divided by 100 to get the percentage and will work for any percentage

Which of the following is the correct definition of a geometric sequence?

Answers

Geometric sequences use multiplication as the common ratio, whether you are dividing by a fraction or a rational number. The key thing is that the ratio has to be the same throughout the whole sequence. Therefore, that makes the last choice above the one you want.

you fill up 40 gallon pool putting in 2 gallons water every minute, if someone scoops out 1 gallon every 8 minutes, how long would it take to fill the pool?

Answers

There's a catch here, and I don't really want to go into full detail. Because of
this catch, I think it would be unusually tough to write a simple equation for this
situation. If you wouldn't mind, let's just list it instead:

After . . water added . . total in pool

7 min . . . 14 gallons . . . 14 gallons
1 more . . 1 gallon . . . . . 15 gallons
7 more . . 14 gallons . . . 29 gallons
1 more . . 1 gallon . . . . . 30 gallons
5 more . . 10 gallons . . . 40 gallons, the pool is full

Add up all the minutes: 21 minutes

It would take 21 minutes
As the first 8 minutes there would be 15 gallons in the pool
In 16 minutes there would be 30 gallons in the pool
Therefore you only need 10 gallons left which will be filled up in the space of 5 minutes

I am a number less than 3,000. When you divide me by 32, my remainder is 30. When you divide me by 58, my remainder is 44. What number am I?

Answers

Taking x as the number to be found,
x=32a+30=58b+44 where a and b are the quotients you get on dividing x by 32 and 58.
Simplifying this equation you get 16a+15=29b+22
16a= (16+13)b+22-15 or 16a=16b+13b+7
16(a-b)=13b+7
Now I have to find a value for b where 13b+7 is divisible by 16. The least common multiple of these numbers can be found bygoing through the multiplication tables of 13 and 16 and 13x13+7=176,while 16x11 is also 176.
Now that the value of b is found to be 13, we can substitute it in our first equation, x=58b+44=58x13+44=798.
Now find the least common multiple of 58 and 32
LCM (n,m)=nm/GCD (n,m) where GCD is the greatest common divisor of n and m
LCM (58, 32)=58x32/2 as 2 is the GCD of 58 and 32
LCM (58, 32)= 1856/2= 928
Add this LCM to the previous answer, ie, 798 to get the next answer in the series. 798+928=1726
Add the LCM again to the last answer to get the final answer, that is less than 3000=1726+928=2654

Final answer:

The query is a mathematical problem about diophantine equations and the Chinese Remainder Theorem. By setting up the equations 32n + 30 and 58m + 44, we search for a number that fits both conditions and is less than 3000. That number is 1978.

Explanation:

The problem described is a common type of question in number theory, specifically in the field of diophantine equations. In mathematics, a diophantine equation is a polynomial equation where the solutions are sought in integers. This problem consists in finding a common remainder when dividing by different numbers, which is the essence of the Chinese Remainder Theorem.

We can set up the equations as follows: the number can be written as 32n + 30 (this gives a remainder of 30 when divided by 32) and as 58m + 44 for some integers n and m (this gives a remainder of 44 when divided by 58). Now, we check for possible solutions less than 3000 by trying out different values of 'n' and 'm'.

After checking several possibilities one by one, the smallest positive number that satisfies both equations is 1978.

Learn more about Diophantine Equations here:

brainly.com/question/32690707

#SPJ11

Other Questions

How do i derive (x^-4) using the limit definition [f(x+h) - f(x) / h]

In the figure, mAB = 45° and mCD = 23°. The diagram is not drawn to scale.What is the value of x?A. 34°B. 56.5°C. 22°D. 68°

Mr. Johnson leaves on a trip planning to travel 24 mph. How fast must his son James travel to overtake him in 5 hours if he starts 2 1 2 hours after his father?

What is 7776 exponential form