Health inspector visits once a week.
Fire inspector comes every 12 days.
a) health inspector fire inspector.
day 7. day 12.
day 14. day 24.
day 21. day 36.
day 28. day 48.
day 35. day 60.
b) 12 x 7 = 84.
Both will coincide on day 84.
Utilizing the specified equation,
V = lwh
The volume for the prism illustrated is given by,
V = (x² - x / 4x + 1) (2x - 5)(24x² + 6x / x - 1)
By means of factoring,
V = ((x)(x - 1) / (4x + 1))(2x - 5)((6x)(4x + 1) / (x - 1))
By removing identical terms from both the numerator and the denominator,
V = (x)(2x -5)(6x)
Answer with explanation:
Total number of children = x
Total chocolates shared = y
In total, the chocolates distributed to the children equals 5 times the number of children, or 5 x.
Chocolates received by adults equal 20.
Let the number of adults be z.
Expressing this situation as an equation:
y = 5 x + 20 z

⇒Number of adults = z

The first equation is x + y = 29, and the second is 5x + 2y = 100.
The area of square TUVW is calculated as 3 times 3, giving 9 square units.
In terms of head lettuces, since 1 square unit accommodates 4 lettuces, 9 square units can house 9 times 4, totaling 36 lettuces.
For plot QRST, the area is determined by multiplying its length by its width: 12 times 6 equals 72 square units.
With 36 vegetables available for every 9 square units, we can partition 72 by 9 to yield 8 plots of 9 square units.
In total, this accounts for 8 times 36, resulting in 288 vegetables.
We can cultivate 8 types of vegetables, with each type yielding 36 vegetables.