Answer:
x=10
Step-by-step explanation:
so your given an angle, 110, and another with an equation, 8x+30, which happens to be vertical to 110 degree angle meaning they are equal, so they both are equal to 110 now how do you solve for x? you simply reverse the equation that x is in, so you subtract 110-30=80, then divide by 8 giving you 10, so x=10.
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>
Hey there,
Your correct answer to

×

as a decimal would be 0.53
Your correct answer would be

Hope this helps
~Jurgen
Answer:
(I don't know if this is correct)
To find the length of the rectangle, you need to first do 20 x 2 = 40 because when you finding the perimeter you have to do W + L + W + L = P (or Wx2 + Lx2 = P). You then subtract 40 from 68 (68 - 40) where you get 28 left. you then just divide 28/2 and you get 14. I may be way off but that's how I learned it.
For this case what we can do is the following rule of three:
2/3 of a box ------> 1/2 minutes
x of a box ---------> 1 minute
Clearing x we have:
x = (1 / (1/2)) * (2/3)
Rewriting:
x = 2 * (2/3)
x = 4/3
Answer:
the number of boxes per minute that the machine packs is:
x = 4/3