Answer:
There are 50 dimes and 110-50 = 60 quarters in the collection.
Step-by-step explanation:
Let D be the number of dimes.
Then the number of quarters is (110-D).
The "value equation" is
10D + 25*(110-D) = 2000.
Simplify and solve for D:
10D + 2750 - 25D = 2000,
-15D = 2000 - 2750,
-15D = -750,
D = %28-750%29%2F%28-15%29 = 50.
Answer:
13/12
Step-by-step explanation:
B - 7/4 = -2/3
B = -2/3 + 7/4
B = 13/12
Let the total ribbon Zoe had was x feet.
Out of x feet, she used 3/8 part of it.
Hence, 
3/8 part of the original ribbon is equal to 9 feet.
Hence, we get
=> Multiply 8 on both sides.
Divide both sides by 3
Zoe had 24 feet of ribbon in starting... Answer
The slope of the trail would be 18. hope it helps
<em>x</em>/<em>r</em> + <em>x</em>/<em>w</em> + <em>x</em>/<em>t</em> = 1
<em>x</em> (1/<em>r</em> + 1/<em>w</em> + 1/<em>t</em>) = 1
<em>x</em> = 1 / (1/<em>r</em> + 1/<em>w</em> + 1/<em>t</em>)
To make the solution a bit cleaner, multiply through the numerator and denominator by the LCM of each fraction's denominator, <em>rwt</em> :
<em>x</em> = 1 / (1/<em>r</em> + 1/<em>w</em> + 1/<em>t</em>) • <em>rwt</em> / <em>rwt</em>
<em>x</em> = <em>rwt</em> / (<em>rwt</em>/<em>r</em> + <em>rwt</em>/<em>w</em> + <em>rwt</em>/<em>t</em>)
<em>x</em> = <em>rwt</em> / (<em>wt</em> + <em>rt</em> + <em>rw</em>)
