Answer:
26
Step-by-step explanation:
One person can pack 45 cartoons per hour
Therefore the number of people needed to pack 1200 cartons can be calculated as follows
= 1200/45
= 26.66
= hence 26 people are needed to pack 1200 cartoons
We need to make a scale between blueprint and actual size. The trick in this question is to understand that the scale for the areas and the scale for the lengths are different.
Scale for area is given in the question as
1 unit on blueprint = 900 units in actual.
As the dining room is given to be rectangular we can find the scale for lengths by taking square root of scale for area.
√1 unit on blueprint = √900 units in actual
Therefore, scale for length= 1:30
Thus, by using the scale we can calculate actual length corresponding to 4 inches on blueprint by multiplying 4 with scale
4 inches×1/30=120inches
Answer = 120 inches
Put the other line in point slope form...(solve for y :D )
3y=15x+9
y=5x+3, so this line has a slope of 5
For a line to be perpendicular to another the slopes have to be negative reciprocals of each other...mathematically...
s1*s2=-1
So for the other line to be perpendicular to the first:
5m=-1, m=-1/5, thus our other line (so far) is:
y=b-x/5, now we can use the point (-8,-1) to solve for the y-intercept, "b":
-1=b-(-8)/5
-1=b+8/5
-1=b+1.6
b=-2.6
So the perpendicular line that contains the point (-8,-1) is:
y=-0.2x-2.6
Answer:
x4−5x3−6x2+26x+20
Step-by-step explanation:
(x−5)(x3−6x−4)
=(x+−5)(x3+−6x+−4)
=(x)(x3)+(x)(−6x)+(x)(−4)+(−5)(x3)+(−5)(−6x)+(−5)(−4)
=x4−6x2−4x−5x3+30x+20
=x4−5x3−6x2+26x+20
