Answer:
X=10
Step-by-step explanation:
Given,
equation 2(x-4)=12
first divide by 2 on both sides
then the resultant equation will be as
above equation explains the first step in this solution
therfore, 
The value of x is 10.
Answer:
-$11.90
Step-by-step explanation:
Add the two numbers and make it negative because it is owed money
This is how I find the GCF.
I find the prime factors.
63/3 = 21
21/3 = 7
7/7 = 1
81/3 = 27
27/3 = 9
9/3 = 3
3/3 = 1
Then I find the common prime factors:
63: 3 x 3 x 7
81: 3 x 3 x 3 x 3
Then I multiply the common prime factors:
3 x 3 = 9
The GCF for 63 and 81 (number 3) is 9.
I bet you can use this method for all the other GCFs! :)
For this one, find the prime factors like before, and if there aren't any besides one, then it's a prime number.
75/3 = 25
25/5 = 5
5/5 = 1
The prime factorization for 75 is 3 x 5 x 5
(I don't know the answer to 7, 8, 9, 10, 11, 12, 25, or 26, sorry!)
Answer:
- Alejandra esperó el autobús el martes pasado.
- El martes pasado Alejandra esperó el autobús
Step-by-step explanation:
Part A.
Using the Pythagorean theorem,
PR² = PQ² +QR²
PR² = (14 ft)² +(6 ft)² = 196 ft² +36 ft² . . . . substitute the given numbers
PR² = 232 ft² . . . . . . . . . . . . . . . . . . . . . . . .find the sum
PR = √(232 ft²) ≈ 15.23 ft . . . . . . . . . . . . . take the square root
The length of rod PR is 15.23 ft.
Part B.
Using the Pythagorean theorem,
PR² = PQ² +QR²
(16 ft)² = (14 ft)² +QR² . . . . . . . substitute the given numbers
256 ft² -196 ft² = QR² . . . . . .. subtract 14²
60 ft² = QR² . . . . . . . . . . . . . . find the sum
√(60 ft²) = QR ≈ 7.75 ft . . . . . take the square root
The new height QR is about 7.75 ft.
