Step-by-step explanation:
No of students work during day shift = 85
No of students work during night shift = 43
No of students working both shift = 28
So first we will divide 28 by 2 = 14
Then it means there were 14 students working in day shift and 14 students working in night shift
Total number of students work during day shift = 85 + 14 = 99
Answer:
it's the third option
Step-by-step explanation:
Answer:
For X = 11, the expression is equal to 31
Step-by-step explanation:
Hello
For X = 11 you only have to replaced the value into the expression, so:
3(11) + 4(11-8) - 14
33 + 4(3) - 14
33 + 12 - 14
31
Best regards
Answer:
5
Step-by-step explanation:
We have been given that the point
lies on the curve
. Q is the point
. We are asked to find the slope of the secant line
for
.
Let us find y-coordinate corresponding to
for point P as:

Now, we will use slope formula to find required slope.
Let point
and point
.
Using these points in slope formula, we will get:

Therefore, the slope of the line PQ is 5.
Answer:
29 cans
Step-by-step explanation:
To solve this problem we must use Heron's formula; A = 
S = 1/2 the perimeter of the given triangle
a, b, c = the measurements of the three given sides
The first step to solving this question is first finding the perimeter.
P = 65m + 74m + 67m
P = 206m
Now that we have our perimeter, we must divide P by 2 to get S.
S = 206/2
S = 103
Now we plug our numbers into Heron's formula.
A = 
A = 
A = 
A = 
A = 
Find the square root of this number.
A ≈ 2021.43909134... m²
If a can of paint covers 70 square meters, then you will need to figure out how many cans you need. This can be done by dividing the overall area of the triangle by the area that a single can of paint can cover.
= 28.8777013049...
We know we can't buy 28.87... of a can (people simply do not sell parts of cans or half-full containers... unless its a bag of lays chips and their 80% air nonsense...) so we must round up to the nearest whole number.
28.87... = 29
Thus we finally have our answer: 29 cans of paint!