Answer:
B) Going to the close store is cheaper.
Step-by-step explanation:
Cost of going to the next town:
(8.3mi/22mi) × $3.79 = $1.43
Cost of going to the close store:
(2.3mi/22mi) × $3.79 = $0.40
the number of elements in the union of the A sets is:5(30)−rAwhere r is the number of repeats.Likewise the number of elements in the B sets is:3n−rB
Each element in the union (in S) is repeated 10 times in A, which means if x was the real number of elements in A (not counting repeats) then 9 out of those 10 should be thrown away, or 9x. Likewise on the B side, 8x of those elements should be thrown away. so now we have:150−9x=3n−8x⟺150−x=3n⟺50−x3=n
Now, to figure out what x is, we need to use the fact that the union of a group of sets contains every member of each set. if every element in S is repeated 10 times, that means every element in the union of the A's is repeated 10 times. This means that:150 /10=15is the number of elements in the the A's without repeats counted (same for the Bs as well).So now we have:50−15 /3=n⟺n=45
First, let's expand the right side. Now our equation is
Now, we gather all the terms with x in it on the left side, and the numbers without x on the right. We get:
And then we can make this
We divide both sides by 12 to get x on its own, so x = 13/12 or 1.08
Answer:
x = 10 or x = 2
Step-by-step explanation:
Solve for x:
x^2 - 12 x + 20 = 0
Hint: | Solve the quadratic equation by completing the square.
Subtract 20 from both sides:
x^2 - 12 x = -20
Hint: | Take one half of the coefficient of x and square it, then add it to both sides.
Add 36 to both sides:
x^2 - 12 x + 36 = 16
Hint: | Factor the left hand side.
Write the left hand side as a square:
(x - 6)^2 = 16
Hint: | Eliminate the exponent on the left hand side.
Take the square root of both sides:
x - 6 = 4 or x - 6 = -4
Hint: | Look at the first equation: Solve for x.
Add 6 to both sides:
x = 10 or x - 6 = -4
Hint: | Look at the second equation: Solve for x.
Add 6 to both sides:
Answer: x = 10 or x = 2
Answer:
36
Step-by-step explanation:
The first step to solving this equation is multiplying. Multiply the numbers on the inside of the square root.
18 × 18 × 4 = 1296
Now, you are going to find the square root of 1296.
= 36
You now have your final answer.
I hope this makes sense and is easy to understand. Please let me know if you need any more help. Have a great day! :]
