Answer: 10
Step-by-step explanation:
Given : Total number of coins tossed = 10
Possible outcomes to toss a coin = Head or tail
Number of possible outcomes = 
Number of ways of obtaining exactly 1 heads = 
[using combinations 
]
=10
Hence, the numbers of ways of obtaining exactly 1 heads= 10
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:
14 and 13
Step-by-step explanation:
14-12=2 which is less than 3
13-12=1 which is less than 3
To solve this, it is easiest to set up a proportion, letting x represent the number that we don't know.
2/10 = x/5
Now, we can use cross products to simplify this proportion. Cross products sets the products of the numerator and denominator of separate fractions equal to one another. It results in the equation:
(5)(2) = (10)(x)
Let's multiply out these numbers to further simplify the equation.
10 = 10x
Finally, we have to divide both sides by 10, to get our variable x alone
x = 1
Therefore, 2 tenths is equal to 1 fifth.
First multiply what's within the parentheses.
(Five times 2 = ten) times ( three times fifteen= 45)
(Ten) times (45) equals 450
