You have to start by adding 4/5 in order to get x alone. When you add 4/5 and 6/13, you have to find the smallest number that both the fractions can have as the same number in the denominator. For this case it is 5 because 13 times two, three, or four won't equal a number that 5 times any whole number can equal. 13 times 5 is 65 and 6 times 5 is 30 so our new fraction is 30/65. For 4/5 we do the same. In order for the bottom number to equal 65, you have to multiple the fraction by 13. 5 times 13 is 65 and 4 times 13 is 52 so our new fraction is 52/65. We now add 52/65 and 30/65 to get 82/65!
Answer:
popcorn=$1
dring=$6.75
Step-by-step explanation:
Let the popcorn = P
Let the drink = D
2*P + 3*D = 22.25
12*P + 4D = 39.00
12P + 18D = 133.5
- 14D = - 94.50
-14D/-14 = -94.5/-14
D = 6.75
6.75x3=20.25
20.25+2P=22.25
P=1
The answer is 22 because 22 multiplied by 2 is 44 and that divided by 11 is 4 and 4 added to 6 is ten. Hope this is helpful.
Answer:
We have to prove,
(A \ B) ∪ ( B \ A ) = (A U B) \ (B ∩ A).
Suppose,
x ∈ (A \ B) ∪ ( B \ A ), where x is an arbitrary,
⇒ x ∈ A \ B or x ∈ B \ A
⇒ x ∈ A and x ∉ B or x ∈ B and x ∉ A
⇒ x ∈ A or x ∈ B and x ∉ B and x ∉ A
⇒ x ∈ A ∪ B and x ∉ B ∩ A
⇒ x ∈ ( A ∪ B ) \ ( B ∩ A )
Conversely,
Suppose,
y ∈ ( A ∪ B ) \ ( B ∩ A ), where, y is an arbitrary.
⇒ y ∈ A ∪ B and x ∉ B ∩ A
⇒ y ∈ A or y ∈ B and y ∉ B or y ∉ A
⇒ y ∈ A and y ∉ B or y ∈ B and y ∉ A
⇒ y ∈ A \ B or y ∈ B \ A
⇒ y ∈ ( A \ B ) ∪ ( B \ A )
Hence, proved......
An object rotated by 180 degrees in a clockwise and counterclockwise can have axis reversed. Hence the image is not the same anymore. However when it is 360 degrees reversed, the image is brought back to its original axis, hence the image is the same again,