Answer:
You ended up selling 55 dollars worth of hot dogs and 75 dollars worth of sodas. That is 11 hot dogs and 50 sodas
Step-by-step explanation:
The answer is B. (15,18)
Solution:
First, let's set the variables first.
X = dollars per hour to clean the floor
Y = dollars per hour to clean the rest of the house
For the first statement, "<span>2 hours to clean floors and 3 hours to clean the rest of a house, the total charge is $84"
We can put it into an equation.
2X + 3Y = 84 </span>⇒ equation 1
For the first statement, "<span>1 hour to clean floors and 4 hours to clean the rest of a house, the total charge is $87'
X + 4Y = 87 </span>⇒ equation 2
Multiply first equation 2 by 2 to make the coefficient of both equations 1 and 2 the same.
Using elimination method in solving for x and y,
(equation 1) 2X + 3Y = 84
(equation 2) 2(X + 4Y) = 87
2X + 8Y = 174 ⇒ equation 3
Next, subtract equation 3 from equation 1.
2X + 3Y = 84
- (2X + 8Y = 174)
-------------------------
- 5Y = -90
Y = 18
Find X when Y = 18
@ equation 1 : 2X + 3Y = 84
2X + 3(18) = 84
2X + 54 = 84
2X = 84 - 54
2X = 30
X = 15
The answer is in ordered pairs of cleaning the floors and to clean the rest of the house. So, in the form (X,Y).
Answer: (15,18)
Answer:
P(P, then Y)=(1/11)(1/10)=1/110
Step-by-step explanation:
The number of letters in probability is 11.
There is 1 P.
The probability of drawing a P on draw 1 is the number of ways of drawing a P, which is 1, divided by the number of ways of drawing any letter, which is 11. Thus:
Probability of drawing a P on the first draw is 1/11.
There are now 10 letters left. There is 1 Y. so
Probability of drawing a Y on the second draw given that you drew a P on the first draw is 1/10.
The probability of drawing a P on the first draw and a Y on the second draw is
(probability of a P on draw 1)(probability of drawing a Y on draw 2, given a P on draw 1)
P(P, then Y)=(1/11)(1/10)=1/110
