32.75 + 39.88 = 72.63
72.63 x 114% = 72.63 x 1.14 = $82.7982 or $82.80 to the nearest cent.
114% is all of the cost of the meal plus 14 % extra for the tip. See how muliplying by 1.14 includes the $72.63 (this saves the step of adding it on at the end if you were only to find 14% of $72.63)
Answer:
M1= 62 M2= 45 M3= 24
Step-by-step explanation:
For angle 1:
180-118 = 62
Angle 2:
180- (73+62)
Angle 3:
part 1
180-73= 107
part 2
180-(107+49)= 24
Say you had this problem:
-4x - 2y= -12
4x +8y = -24
First you would have to cancel out one part of the equation to get on variable alone. In this case it's easy it would be -4x and 4x. So then you would cancel those out.
Now we have
-2y= -12
8y =-24
so then you just add them all up
6y=-36
Next you just divide both sides by 6
so then you answer for y would be -6.
Next you would choose one of your equations and plug the -6 in.
So it would be
-4x -2 (-6) =-24
So you would times negative 2 by negative 6, which would be positive 12. Since a negative times a negative equales a positive.
-4x + 12= -24
Next you would minus 12 on both sides.
-4x + 12=-24
- 12 = -12
The 12's would cancel out and then you just minus -24 by -12 which you would ended up just plusing them together because a negative plus a negative equales a negative. Or a negative minus a negative number would end up adding them up.
-4x= -36
Next you would get x alone and how you would do that is you would divide -4 in both sides which would cancel them -4 out then it would be divided by -36.
So it would look like this.
-4x= -36
-4 -4
So negative 36 divided by negative 4 is 9.
So your final answer would be
y= -6
x= 9
I hope I explained to you properly how to do systems of equations by elimination.
ANSWER 1: 8•107=856 and 2•104=208 so 856-208=648, meaning that the difference between 8•107 and 2•104 is 648.
ANSWER 2: If 49 in scientific notation is 8•10^0 then we divide by 100,000 and get 0.00008•0.00010^0
Answer: When x=2 and z = 1, then the value of y =4.
Step-by-step explanation:
Given: y varies directly as x and z i.e. 
(i) , where k is the proportionality constant.
Put Y=40 ,x =5 and z = 4, then we get
Required equation: 
[Put value of k in (i)]
Now put x=2 and z = 1, then we get
Hence, when x=2 and z = 1, then the value of y =4.
