Answer:
14.12 km
Step-by-step explanation:
Distance of Dawn = 6.42 km
Distance from Lin = 7.7 km in the opposite direction.
If they went in opposite directions then they were moving away from each other.
Therefore, the final distance between the two can be written as follows:
d = 6.42 + 7.7 = 14.12 km
After 20 minutes Dawn and Lin were 14.12 km away.
Jenna has a bag that contains the following
=> 7 red marbles
=> 25 blue marbles.
She selects a marble at random, and then, without replacing the first one, selects <span>another marble at random.
=> 7 + 25 = 32 marbles are there in all.
For blue marble
=> 1/32 is the probability
For red
=> 1/31 is the probability
or
3%</span>
Answer:
13
Step-by-step explanation:
351 divided by 27 = 13
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)
