Answer:
His shifts were 1 hour each
Step-by-step explanation:
If Oliver worked a total of 14 hours in a span of 14 shifts, that would mean he worked 1 hour per shift because 1(14) = 14.
14/14 = 1 hour
if,
p/x=x/q
then cross-multiplying gives <span>x^2=pq</span>
<span>x^2=pq</span>. Taking the square root of both sides, we get <span>x=√pq</span> as the geometric mean of p and q.
Hence in the given question the product of p and q is 8.
so,
x=√8
x=2√2
Answer:
12.57
Step-by-step explanation:
hope this helps
Here, Your Original expression is 60x - 24.
Take 12 as common, which is GCD of 24 & 60,
Therefore, It would be:
60x - 24
= 12 * 5x - 12 * 2
= 12 (5x - 2)
In short, your Answer would be 12(5x - 2)
Hope this helps!
Photon
I'm going to assume that the room is a rectangle.
The area of a rectangle is A = lw, where l=length of the rectangle and w=width of the rectangle.
You're given that the length, l = (x+5)ft and the width, w = (x+4)ft. You're also told that the area, A = 600 sq. ft. Plug these values into the equation for the area of a rectangle and FOIL to multiply the two factors:

Now subtract 600 from both sides to get a quadratic equation that's equal to zero. That way you can factor the quadratic to find the roots/solutions of your equation. One of the solutions is the value of x that you would use to find the dimensions of the room:

Now you know that x could be -29 or 20. For dimensions, the value of x must give you a positive value for length and width. That means x can only be 20. Plugging x=20 into your equations for the length and width, you get:
Length = x + 5 = 20 + 5 = 25 ft.
Width = x + 4 = 20 + 4 = 24 ft.
The dimensions of your room are 25ft (length) by 24ft (width).