40 questions. You set up a proportion, mutiply 34 by a 100 and get 3400. Then you divide 3400 by 85 and you get ur answer. You could also try guessing by putting in random values you think are the whole number and multiplying them by 0.85. So if you guess 44 is the whole and try checking it by multiplying it by .85 and get a value thats higher than the value the percentage is equal to you try another smaller value. So if 44 doesn't work you can try 40. 40 times .85 is 34 so your answer of 40 questions is correct.
The triangles are shown to be similar, therefore
The answer is 9 units
Answer:
Step-by-step explanation:
A box contains four cards: One card is black on both sides, one card is red on both sides and two cards are black on one side and red on the other side. One card is selected at random and you can see only one side.i) If the side you see is black, what is the probability that the other side is black?ii) If the side you see is black, what is the probability that the other side is red?
Given that:
Number of cards = 4
x = Black on both sides = 1
y = Red on both sides = 1
z = Black on one side, red on one side = 2
.i) If the side you see is black, what is the probability that the other side is black = b
Probability of black
P(x) = 1/4 ; p(b|x) = 1
P(y) = 1/4 ; p(y|x) =
Answer:
In the first account was invested 
at 3%
In the second account was invested 
at 5%
Step-by-step explanation:
we know that
The simple interest formula is equal to
where
I is the Interest Value
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
in this problem we have
First account
substitute in the formula above
Second account
substitute in the formula above
Remember that
The interest is equal to 
so
Adds the interest of both accounts
therefore
In the first account was invested at 3%
In the second account was invested 
at 5%
X=2y
2x+5y=9
substitute the x=2y into the second equation
2(2y)+5y=9
multiple the 2y by 2. 4y+5y=9
combine like terms. 9y=9
divide the 9 out from both sides. y=1
plug the y back into the first equation
x=2(1)
multiply. x=2
your answer is: x=2
y=1
