Answer:
8 square feet
Step-by-step explanation:
48/12=4
24/12=2
2x4=8
If 40% of students prefer keyboarding, 40/100*40=16 students like it best. If the remaining students prefer English, then 40-16=24 students like English best. Since 24 is more than 16, most students prefer English.
We know that:
Profit = Revenue - Cost
Let us say x number of candies are made per week.
Finding Cost per week:
Cost of making 1 bar = 0.15
Cost of making x bars = 0.15x
Fixed rate of making candies per week = 600
Total cost of making x candies per week = 600 + 0.15x
Now let us find Revenue:
Selling price of each bar = 1.50
Selling price of x bars = 1.50x
Now we have to find profit,
Profit = Revenue - Cost
In order to have profit Revenue - Cost >0
So plugging values of revenue and cost to get number of candies,
x>444.44
Rounding off
x>444
Answer: The company must sell greater than 444 candies in order to make profit.
Step-by-step answer:
Given:
A triangle
Perimeter = 60 cm
longest side = 4* shortest side (x)
Solution:
longest side = 4x
shortest side = x
third (intermediate side = 60 -x -4x = 60-5x
The triangle inequality specifies that the sum of the two shorter sides must be greater than the longest side to form a triangle. Hence
x + y > 4x
x + 60-5x > 4x
60 - 4x > 4x
8x < 60
x < 60/8 = 7.5, or
x < 7.5
Therefore to form a triangle, x (shortest side) must be less than 7.5 cm.
Examine the options: both 7 and 5 are both less than 7.5 cm.
40, 30 and 25 all have a problem because the longest side (4 times longer) will exceed the perimeter of 60.
Now also examine cases where 4x is NOT the longest side, in which case we need
4x>=y
or
4x >= 60-5x
9x >=60
x >= 6.67
so x=5 will not qualify, because 4x will no longer be the longest side.
The only valid option is x=7 cm
The side lengths for x=7 and x=5 are, respectively,
(7, 25, 28)
5, 20, 35 (in which case, the longest side is no longer 4x=20, so eliminated)
I think it’s the maximum number of solutions is one
