X=hours master worked
y=hours apprentice worked
62x+40y=492
if master worked 3hours more than apprntice
x=3+y
sub 3+y for x
62(3+y)+40y=492
expand
186+62y+49y=492
186+102y=492
minus 186 both sides
102y=306
divide both sides by 102
y=3
sub back
x=3+y
x=3+3
x=6
master electrician worked 6 hours
6*62=372
master electrician earned $372
Answer:
p=2
Step-by-step explanation:
10 – (8p + 3) = 9(2p - 5)
(rearrange and distribute) -8+7=18−45
(Subtract and combine) −26=−52
(Divide and find p) p=2
Answer:
I-
Step-by-step explanation:
) 5)8%2=80)4)<em>88</em><em>=</em><em>5</em><em>=</em><em>5</em><em>=</em><em>88</em><em>=</em><em><u>9</u></em><em><u>=</u></em><em><u>5</u></em><em><u>)</u></em><em><u>5</u></em><em><u>=</u></em>
Answer:
third option
Step-by-step explanation:
So, pretend this is your x-axis and y-axis:
I
I
(-2,7) • I
I
I • (2, 5)
I
I
I
I
_________________I____________________
I
I
I
TO GET FROM POINT (-2, 7) TO POINT (2, 5), WE MOVE DOWN 2 AND OVER 4, SO THE SLOPE IS -1/2. IF WE FOLLOW THAT SLOPE AND MOVE DOWN 1 AND OVER 2 FROM THE FIRST POINT OF (-2, 7), WE WILL LAND ON A POINT LOCATED AT (0, 6), WHICH WOULD BE THE "Y-INTERCEPT". WE WERE JUST ABLE TO CALCULATE THE SLOPE OF THE LINE AND THEN USE THE SLOPE TO FIND THE INTERCEPT. SO, THE "SLOPE-INTERCEPT" FORM OF THE EQUATION FOR THIS LINE IS:
y = -1/2x + 6
TO RE-WRITE THIS IN STANDARD FORM, WE JUST WANT TO MOVE THE X VARIABLE OVER TO THE LEFT WITH THE Y VARIABLE, SO:
y = -1/2x + 6
+1/2x + 1/2x
1/2x + y = 6 .... and that is your answer!
