Jim and Sarah are running for a president and Cayla and Daniel are running for a vice president.Combinations are:Jim (P) - Cayla (VP)Jim (P) - Daniel (VP)Sarah (P) - Cayla (VP)Sarah (P) - Daniel (VP)In total: 4 combinations.
Sqrt(486) - sqrt(24) + sqrt(6)
find the factors of 486 that we can remove from under the square root sign
2 * 243
2 * 3 * 81
2 * 3 * 9 * 9 (we have 2 nines, we can move a 9 outside the sqrt sign)
sqrt(486) = 9 sqrt(6)
Repeating for sqrt(24)
2 * 12
2 * 2 * 6
2 * 2 * 2 * 3 (we can move a 2 outside the sqrt
sqrt(24) = 2 sqrt(6)
Finally, add all 3 terms together
9 sqrt(6) - 2 sqrt(6) + sqrt(6)
8 sqrt(6)
8 times square root of 6 is the final answer
784/4 = 196
196 * 4 = 784
4 * 196 = 784
So the answer is : 196
Answer:
a.
b.
c. or
d. or
e.
Step-by-step explanation:
Expand
Open brackets
Collect Like Terms
Express 25 as 9 + 16
Factorize:
Expand
Open Brackets
Collect Like Terms
Factorize
Expand the expression in bracket
Factorize:
Factorize
The answer can be in this form of further expanded as follows:
Apply difference of two squares
Express as
Expand
The answer can be in this form of further expanded as follows:
Apply difference of two squares
Represent as squares
Apply difference of two squares
Represent as squares
Apply difference of two squares
Answer:
5.66 inches
Step-by-step explanation:
In this case I know the ratio or that 1 inch equals 12 miles, so 1 times 12. I need to find out how many inches represents 68 miles, so 12 times what number equals 68? I would divide 68 divided by 12 and I get 5.66 that terminates, the teacher should accept 5.66 inches or 5 and 2/3.