Answer:
6.12
Step-by-step explanation:
8=1.88+a
-1.88 from both sides
get 6.12=a
add 6.12 to 1.88 and it equals 8
Couldnt you just do the X's together and the Y's and your answer after you divide by each??
Answer:
C (11.3) = 165
P (3,3) = 6
Step-by-step explanation:
We want to select 3 players out of 11 regardless of the order. That is, there is no difference between selecting the players {2,5,7} or {7,2,5}
Then we use the formula of combinations:
There are 165 ways to choose 3 players out of 11.
Now we want to know how many ways you can designate those 3 players as first, second and third. Now if we care about the order of selection. Then we use permutations.
They can be designated in 6 different ways
Answer:
16 + sqrt(128)
Step-by-step explanation:
find the lengths of all 3 sides:
the side from (-9,8) to (-9,16) will be 16-8=8 (x stays constant)
The side from (-9,8) to (-17,8) is 8 (-9- (-17)=8)
The side from (-9,16) to (-17,8) will be found from the distance formula
d=sqrt((-17-9)^2 + (8-16)^2))
= sqrt(128)
So the perimeter will be these 3 numbers added together
P=sqrt(128) + 8 + 8
= 16 + sqrt(128)
which can simplify to:
= 16 + 4sqrt(8)
= 16 + 8sqrt(2) = 8+ sqrt(2)
Answer:
<u>Part A: </u>
<u>n = 5q (1st equation)</u>
<u>0.05n + 0.25q = 2 (2nd equation)</u>
<u>Part B:</u>
<u>q = 4 ⇒ n = 5 * 4 = 20</u>
<u>Part C:</u>
<u>Margie has 20 nickels and 4 quarters, for a total of $ 2.00</u>
Step-by-step explanation:
Let's recall that a nickel has a value of $ 0.05 and a quarter a value of $ 0.25.
Let n represent the number of nickels and q represent the number of quarters.
Part A:
Write a system of equations to represent the situation.
n = 5q (1st equation)
n * 0.05 + q * 0.25 = 2
0.05n + 0.25q = 2 (2nd equation)
Part B:
Replacing n in the 2nd equation to solve for q:
0.05n + 0.25q = 2
0.05 * 5q + 0.25q = 2
0.25q + 0.25q = 2
0.5q = 2
q = 2/0.5
<u>q = 4 ⇒ n = 5 * 4 = 20</u>
<u>Part C:</u>
<u>Margie has 20 nickels and 4 quarters, for a total of $ 2.00</u>