Answer:
Kindly check explanation
Step-by-step explanation:
Length of parking lot = 20 feets
Speed of tortoise which starts at the edge = 6 feets per minute
Speed of tortoise which starts 4 feets from the edge = 2 feets per minute
Equation to represent when they will be in the same spot.
Distance = speed * time
Distance of Tortoise at edge = 6ft/min * t = 6t - - (1)
Distance of the other tortoise = (4 + 2t) - - - (2)
Equating both (1) and (2)
6t = 4 + 2t
6t - 2t = 4
4t = 4
t = 4/4
t = 1
Hence, they'll be at the same spot after 1 minute.
This load will weigh
1.5 TONS ALTOGETHER.
So, the truck is delivering a
ton of cement blocks, and a
of bricks. To find how much this load weighs, we'd have to add the two fractions together, which proves to be quite easy, because the denominators are already the same, so we wouldn't have to change anything.
+

=

And now, we would want to convert that fraction into a whole number, or at least a decimal, to find how many tons the truck is carrying. So we would divide. Once the work is done, here is what would happen:
12 ÷ 8 = 1.5
And there's your answer. The truck is carrying
1.5 TONS.
Candy draws a square design with a side length of x inches for the window at the pet shop. She takes the design to the printer and asks for a sign that has an area of 16x2 – 40x + 25 square inches. What is the side length, in inches, of the pet shop sign?
Answer:
the length of the sign is
inches
Step-by-step explanation:
Given
Area of the square of design = 
First we find the roots of equation 
The roots of the quadratic equation
are given by

where 






That is, the factors of the polynomial
are
and
.
So, Area of the square design =
= 
Area of a square = Length^2
Thus, the length of the sign is
inches
The answer to this equation is
x= 1, -3