if you are driving 40 miles per hour
1 hour = 40 miles
60-40 = 20 miles left
20/40 = 0.5
1+0.5 = 1.5 total hours
Answer:
12 dimes and 18 nickels
Step-by-step explanation:
Equations given by word problem:
n + d = 30
0.05n + 0.1d= 2.10
How I solved them:
d= 30 - n
0.05n + 0.1(30 - n)= 2.10
0.05n + 3 - 0.1n= 2.10
-0.05n= -.09
Divide both sides by -0.05
n= 18
18 + d = 30
d= 12
The formula for arc length is s=r*angle theta where s is the arc length, r is the radius, and angle theta is central angle formed by the arc in radians.
In this case, the angle would be s/r or 4.2/4 which is 1.05 radians. We have to convert this into degrees and so you would multiply 1.05 by (180/pi) which results in approximately 60 degrees. Remember, if you want to convert radians into degrees, the conversion factor is 180/pi and for degrees into radians, it is pi/180.
Answer:
-4x-6x=-20=
x=2
-3(2x-3)=33=
x=-4
4x+3x+2x=180
x=20
Step-by-step explanation:
-4x-6x=-20
-4+(-6)=-10x
-10x=20 (divide both by 10)
x=-2 (divide by -1 to get positive)
x=2
-3(2x-3)=33
-6x+9=33
-9 . -9
-6x=24 (divide both by -6)
x=-4 (divide by -1 to make positive)
4x+3x+2x=180
(combine like terms)
9x=180 (divide both sides by 9)
x=20
