Because there are no parentheses, I'm assuming you're asking for how to factor this using the GCF, which can be done like so:
9−12x+6y
Factor a 3 out of this expression.
3(3 - 4x + 2y)
The expression has been simplified using the distributive property in reverse.
Answer:
The winner completed the race in 96 hours and 52 minutes.
Step-by-step explanation:
Given:
Distance of the cycling race = 2292 miles
Average speed of the winner = 
We need to find time required by winner to complete the race.
Solution:
Now we know that;
Time required can be calculated by dividing Total Distance from the Average speed.
framing in equation form we get;
time required by winner to complete the race = 
Now converting 
into minutes we get;
Hence the winner completed the race in 96 hours and 52 minutes.
Okay. so I'm gonna assume you know what factor out means--were gonna take out 5/6. what we need to know is, how does that affect our ending number 2/3? well, we're gonna have 5/6 times some stuff first off, right?
5/6 ( )
so what's in the parenthesis? well, if we distribute in our mind, S would just have to be by itself for it to work out. so we have
5/6 ( s )
but what about 2/3? well, if we're multiplying everything on the inside by 5/6, how can be get it to cancel and leave 2/3 alone? we could divide 2/3 by 5/6, right?
5/6 ( s + (2/3) / (5/6) )
now, when we distribute our 5/6, we'll have just 2/3 at the end. now let's simplify that end term so it looks a little better. if we divide by a fracion, that's the same as multiplying by the flipped version, so let's do that.
2/3 / 5/6 = 2/3 × 6/5 = 2 (6) / 5 (3) = 12/15
we can reduce 12/15 by dividing the top and bottom by three.
= 4/5
so our final answer would be:
5/6 [S + 4/5] you can redistribute to make sure it matches. Anyway, hope that helps!
notice, the denominator for each fraction is the same, thus the LCD is just 3.
Answer:
38.28 cm = D. 38
Step-by-step explanation:
Area of the Rectangle: l x w
Length: 6 cm
With: 4 cm
Area = 4 x 6
Area of Rectangle: 24 cm
Area of the Triangle: lw(1/2)
Length: 4 cm
Width: 4 cm
Area: 4 x 4 = 16 x 1/2 = 8
Area of Triangle: 8 cm
Area of the Circle: pi x r^2 x 1/2
Radius: 2 cm
Pi: 3.14
Area: 3.14 x 2^2
Area: 3.14 x 4 = 12.56
Area of Circle: 12.56 x 1/2
Lastly, you add them all together:
24 + 8 + 6.28 = 38.28 cm
