Answer:
x = 11
Step-by-step explanation:
Since we are given triangle PQR is similar to triangle PTU, we can write a proportion to connect the side lengths:
PQ / PT = QR / TU = PR / PU
We don't really care about QR and TU because the are irrelevant to the problem, so we can remove them:
PQ / PT = PR / PU
Now, we can substitute the values given by the diagram:
70 / 30 = 49 / (x + 10)
We can cross multiply,
70(x + 10) = 30 * 49
And divide by 70 on both sides(too lazy to multiply :P)
x + 10 = 3 * 7
x + 10 = 21
x = 11
Step-by-step explanation:
First, replace f(x) with y ⇒ f(x)=6x-19 ⇒ y=6x-19
Then y with x and x with y ⇒ y=6x-19 ⇒ x=6y-19
Solve the equation from for y:
x=6y-19
x+19=6y dividing with 6
1/6 x +(19/6) = y
Replace y with f−1(x) ⇒ f−1(x)= 1/6 x +(19/6)
hope this helps!
The probability is a ratio of the possible events to the total events. The total is 52 cards, so the denominator is 52. The individual properties of the specific cards are the following:
Any face or number cards is 4/52, because there are 4 cards for each symbol. On the other hand, each symbol like heart, diamond, club or spade would each have a probability of 13/52 (counting numbers 2 to 10, Ace card, and the 3 face cards). Also, there are 26 each of red and black cards. Furthermore, the words 'or' and 'and' are hint words. When you see 'or', you have to add their individual probabilities. If you see the word 'and', you'll have to multiply them. With that said, the solution is as follows:
a.) P = 4/52 + 4/52 + 4/52 = 3/13
b.) P = (13/52 + 13/52 + 4/52)(26/52) = 15/52
c.) P = 13/52
d.) P = 13/52 + 13/52 + 13/52 = 3/4
Answer:
Step-by-step explanation :Answer
To chance an improper fraction into a mixed number first divide the numerator by the denominator
Example 11/5 divide 11 by 5 and you get 2.2 that means that 5 goes into 11 twice with some leftover which means the answer is going to be 2 plus a fraction
To get the fraction you multiply the denominator by the whole number you found (5*2) and subtract the numerator by that new number
5*2=10 11-10=1
Your new fraction is now 2 1/5
