1. a bedroom is 10ft. by 11ft. what is the perimeter? = 21ft. is this correct?
2. Find the prime factorization of the number 40 = 2X2X2X5= 40 is this correct?
3. perform the indicated operatio. 6 2/9 + 1 3/4 - 3 5/6 = 4 5/36 is this correct?
Numbers 2 and 3 are right.
For the first question, the bedroom has four walls --
(2 * 10) + (2 * 11) = 20 + 22 = ?
I dont think one is right. if theres 4 walls in a room do 10+10+11+11=?
1. To find the perimeter of a rectangle, you need to add up all the lengths of its sides. Since the bedroom is a rectangle with dimensions of 10ft by 11ft, the perimeter can be calculated as follows:
Perimeter = 2(Length + Width)
Perimeter = 2(10ft + 11ft)
Perimeter = 2(21ft)
Perimeter = 42ft
Therefore, the perimeter of the bedroom is 42ft, not 21ft.
2. To find the prime factorization of a number, you need to break it down into its prime factors. For the number 40, you can start by dividing it by the smallest prime number, which is 2:
40 ÷ 2 = 20
Now, continue dividing the quotient by 2 until you can no longer do so:
20 ÷ 2 = 10
10 ÷ 2 = 5
The final quotient, 5, is a prime number. Therefore, the prime factorization of 40 is 2 × 2 × 2 × 5, not 40.
3. To perform the indicated operation of adding and subtracting mixed numbers, you need to find a common denominator and then perform the operations. Let's break it down step by step:
Step 1: Find a common denominator
The common denominator for 9, 4, and 6 is 36.
Step 2: Convert the mixed numbers to improper fractions
6 2/9 = 56/9
1 3/4 = 7/4
3 5/6 = 23/6
Step 3: Change the denominators of the fractions to 36
56/9 × 4/4 = 224/36
7/4 × 9/9 = 63/36
23/6 × 6/6 = 138/36
Step 4: Perform the addition and subtraction operations
224/36 + 63/36 - 138/36 = (224 + 63 - 138)/36 = 149/36
The result is 149/36, not 4 5/36.