1/5...
This question should be relatively easy for a high schooler...
Answer:
One month of gameplay costs $15
Step-by-step explanation:
Angie: 20 + 3x
Kenny: 20 + 2x
(20 + 3x) + (20 + 2x) = 115 --- add their costs together
(20 + 20) + (3x + 2x) = 115 --- collect like terms
40 + 5x = 115 --- simplify
5x = 75 --- subtract 40 from both sides
x = 15 --- divide both sides by 5
Height of triangle = 1/2 height of rectangle = 1/2 (16) = 8
answer
8ft (first one)
Solutions
1) <span>Add the whole numbers first ( 7 and 2 )
</span><span>9+<span>7/8</span>+<span>11/12
2) </span></span>Find the Least Common Denominator (LCD) of
<span><span>7 / 8</span>,<span>11 / 12
</span></span>
Start by Listing Multiples
List out all multiples of each denominator, and find the first common one.
8 : <span><span>8,16,24</span>
</span>
12 : <span>12,24
</span>
Therefore, the LCD is <span>24
</span>Method 2: By Prime Factors
List all prime factors of each denominator, and find the union of these primes.
8 : <span>2,2,2
</span>
12 : <span>2,2,3
</span>
Therefore, the LCD is <span>2×2×2×3=24
3) </span>Make the denominators the same as the LCD
<span>9+<span><span>7×3 / </span><span>8×3</span></span>+<span><span>11×2 / </span><span>12×2
</span></span></span>4) Simplify. Denominators are now the same
<span>9+<span>21 / 24</span>+<span>22 / 24
5) J</span></span>oin the denominators
<span>9+<span><span>21+22 / </span>24</span></span>
6) Simplify
<span>9+<span>43 / 24
7) </span></span>Convert 43 / 24 <span>to mixed fraction
</span><span>9+1 <span>19 / 24
8) </span></span>Simplify
<span><span>10 <span>19 / 24</span></span></span>
You need to use the slop formula (y2-y1/x2-x1)
9 -3/5--3
6/5+3
6/8
3/4
The slope is 3/4
