Answer: Problem 3: 20 laps per day,
Inequality: x >=20 per day
Problem 4: minimum of 8 employees
Step-by-step explanation:
Given that the goal is 600 laps in a month
And a month contains 30days, to achieve 600 laps, we divide 600 laps by 30 days
= 600/30= 20
Reem needs to swim a minimum of 20 laps per day to achieve her goal.
Inequality: x should be greater than or equal to 20 laps daily.
x >= 20
Problem 4:
Given that each employee can paint 85square feet per hour
The building has 1360 square feet and to be completed in two hours
Number of employees to complete the job in one hourwill be 1360/85 = 16
If 16 employees will complete 1360 per hour, then 8 employees will complete the work in 2 hours.
If an integer is both a square and a cube, it can be of the form:
<span>(<span>a3</span><span>)^2</span></span>
Now,
since a cube can be of the form 7k or 7k+-1(thanks to FoolForMath),
we write
<span><span>a^3</span>=7k</span>
and get the no to be
49k^2
, which is in the form of 7 times something
<span>49<span>k^2</span>=7×(7<span>k^2</span>)</span>
Now put
<span><span>a^3</span>=7k+−1</span>
Square it
and you'll get a number in the form of (7times something +1)
2nd angle measures 50
90 is the total so all that was needed is to subtract 40 from 90
