What is the simplest form of of 4/12

Answers

Answer 1
Answer: You have to divide both the numerator and the denominator and you get 1/3 and thats the simplest form
Answer 2
Answer: To find the simplest form of the fraction divide both numbers by 4

4   /  4  =  1
__          ___
12 / 4  =   3

4/12=1/3

Answer= 1/3

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Simplify. −4x^2−5(x+3)+x^2

Answers

Answer:

-4x² - 5(x + 3) + x²

= -4x² - 5x - 15 + x²

= -3x² - 5x - 15

What percent of 350 is 252

Answers

252 is approximately 85.71 percent of 350.

We have,

To find what percent 252 is of 350, we can use the following formula:

Percent = (Part/Whole) * 100

In this case, 252 is the part and 350 is the whole.

Applying the formula:

Percent = (252/350) x 100

Simplifying the fraction:

Percent = (6/7) x 100

To calculate the value, multiply 6 by 100 and divide by 7:

Percent = 600/7 ≈ 85.71

Therefore,

252 is approximately 85.71% of 350.

Learn more about percentages here:

brainly.com/question/11403063

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to solve this you can make a perportion

252     x 
----- = -----
350     100

and solve 252 times 100/350=72

252 is 72% of 350

You have decided to wallpaper your rectangular bedroom. The dimensions are 12 feet 6 inches by 10 feet 6 inches by 8 feet 0 inches high. The room has two windows, each 4 feet by 3 feet and a door 7 feet by 3 feet. Determine how many rolls of wallpaper are needed to cover the walls, allowing 10% for waste and matching. Each roll of wallpaper is 30 inches wide and 30 feet long. How many rolls of wallpaper should be purchased?

Answers

First calculate how much wallpaper is needed:
add: 2 walls of 12.5 ft length x 8 ft high = 200 ft²
add: 2 walls of 10.5 ft length x 8 ft high = 168 ft²
subtract: 2 windows of 4 ft length x 3 ft high = 24 ft²
subtract: 1 door of 3 ft length x 7 ft high = 21 ft²
Wallpaper needed: 200 + 168 - 24 - 21 = 323 ft²
Add 10% for waste and matching: 323 + 323(10%) = 355.3 ft²

Next, calculate the amount of wallpaper in one roll:
0.5 ft wide x 30 ft length = 15 ft²

Lastly, calculate how many rolls are needed:
355.3 ÷ 15 = 23.7
Since you can only purchase an entire roll (and not a fraction of it),
round the answer up to the nearest whole roll.

Anser: 24 rolls of wallpaper should be purchased.

Mother gives birth to a 8 pound baby. Every 4 months, the baby gains 3 pounds.If x is the age of the baby in months, then y is the weight of the baby in pounds.

Find an equation of a line in the form y = mx + b that describes the baby's weight.

Answers

Hello!

The equation, y = mx + b is slope-intercept form. In this equation, m is the slope, and b is the y-intercept.

If the baby was exactly 8 pounds when it was born, then the y-intercept is (0, 8) because at zero months, the baby was eight pounds. To find the rate of change, we can use the the y-intercept (0, 8), and the weight of the baby at four months, which is (4, 8 + 3) → (4, 11).

Since we have two points, we can use the slope formula ((y_(2)-y_(1))/(x_(2)-x_(1))) to find the rate of change.

(8 -11)/(0-4) = (-3)/(-4) = (3)/(4).

The rate of change is 3/4.

Therefore, the equation that describes the baby's weight is y = 3/4x + 8.

Solve for q

- 3/4q = 12

q = ___

Answers

\text{We know: } \n  \boxed{(\ -3\ )/(\ 4\ )*q=12 } \n \n  q=12: (\ -3\ )/(\ 4\ ) \n \n q=12* (\ 4\ )/(\ -3\ ) \n \n q= \frac{\ 48\ }  {\ -3\ }  \n \n q=-16 \n ********** \n \n \text{Check:}\n  \n \boxed{ (-3)/(4)*-16=12 } \n \n  (48)/(4) =12 \ TRUE
(-3)/(4q)=12
Multiply by q to eliminate var in denominator 
( \not q*(3))/(4 \not q) =q*12
q= (-3)/(4) =q*12
Common denominator is 4
( \not 4(-3))/( \not 4) =4q*12
-3=4q*12
-3=48q
Divide  by 48
q=( \not 3)/( \not 4 \not 8)
q=-16
The answer is: q=-16 

One hundred and fifty people were asked whether they liked to see comedies or dramas and whether or not they buy popcorn for the movie. Out of 90 people that liked comedies, 75 said they buy popcorn. There were 40 people who said they do not buy popcorn. Recreate the two-way table below on your own paper to summarize the data. Then answer the question below.How many people like to see dramas but do not buy popcorn?

A.
150 people

B.
15 people

C.
25 people

D.
75 people

Answers

Answer: 15

Step-by-step explanation:

subtract 75 from 90 to get 15. those 15 people belong to the group who likes drama but are not buying popcorn. 150-90=60 which is how many people like dramas.