Answer:
42
Step-by-step explanation:
1/3 x 42 = 14
14 - 6 = 8
The answer is 12 which is a dozen
Let the planned number of parts per hour = x
<span> Then the planned number of parts for the day = 8x
</span><span> By finishing 4 more parts in an hour than was planned (x + 4) he fulfilled his daily task in 6 hours.
</span><span> So he finished 6(x + 4) parts that day.
</span><span> 6(x + 4) = 8x
</span><span> 6x + 24 = 8x
</span><span> 2x = 24
</span><span> x = 12 </span>
Answer:
y = 4/5x-18/5
Step-by-step explanation:
First we find the slope from the given points (-3,-6) (2,-2)
m = (y2-y1)/(x2-x1)
m = (-2 - -6)/(2 - -3)
(-2+6)/( 2+3)
4/5
The slope intercept form of an equation is
y = mx +b where m is the slope and b is the y intercept
y = 4/5 x +b
Substitute a point into the equation to find b
-6= 4/5(-3) +b
-6= -12/5 +b
Add 12/5 to each side
-6 +12/5 = -12/5 +12/5 +b
Get a common denominator
-30/5 + 12/5 = b
-18/5 =b
The equation is
y = 4/5x-18/5
