Answer:
a) 1680
<em>The number of ways to listen to four CDs from a selection of 8 CDs = 1680</em>
Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given data the number of CD' s n = 8
<em>We have to selected '4' CD' s from total '8' CD's</em>
<em>By using permutations </em>
<em>The number of ways to listen to four CDs from a selection of 8 CDs.</em>
<em> = </em><em> </em>
<em> we know that </em>
<em>The number of ways to listen to four CDs from a selection of 8 CDs = 1680</em>
Answer:
9
Step-by-step explanation:
I would guess it looks like this - if not then tell me
2×3=6
5-2=3
Then there's only
Which is equal to
Answer:
Adult ticket: $7.25
Children's ticket: $5.50
Step-by-step explanation:
Set up a system of equations where a represents the cost of an adult ticket and c represents the cost of a child's ticket:
12a + 5c = 114.5
24a + 8c = 218
Solve by elimination by multiplying the top equation by -2:
-24a - 10c = -229
24a + 8c = 218
Add them together:
-2c = -11
c = 5.5
Now, plug in 5.5 as c in an equation to find a:
12a + 5c = 114.5
12a +5(5.5) = 114.5
12a + 27.5 = 114.5
12a = 87
a = 7.25
<h2>Steps:</h2>
So for this, I will be completing the square to solve for x. Firstly, add 10 and subtract 30x on both sides of the equation:
Next, we want to make the left side of the equation a perfect square. To find the constant of this soon-to-be perfect square, divide the x coefficient by 2 and square the quotient. Once you get that result, add it to both sides of the equation:
Now, factor the left side:
Next, square root both sides:
Now, add 15 to both sides of the equation:
This is the <em>exact</em> solution. To find the approximate solution, solve the left side twice -- once with the plus sign, once with the minus sign:
<h2>Answer:</h2>
In short:
- Exact Solution:
- Approximate Solution (Rounded to the hundredths):
Answer:
x=9
Step-by-step explanation:
3x+9+5x=81
8x+9=81
-9 -9
8x=72
x=9
hope this help!