Answer:
x = 4; y = 8
Step-by-step explanation:
y=2x
y=x+4
2x = x + 4
x = 4
y = 2x = 2(4)
y = 8
Solution: x = 4; y = 8
Okay so we need to figure out the width of the swimming pool using the length, and we know the width is 10 ft shorter than twice the width. I believe the easiest way to do this would be to first do 35-10, and then divide it in half. That gives us 12.5. To check our work I'll do the problem 12.5+12.5+10=35.
The width of the swimming pool is 12.5 ft.
9514 1404 393
Answer:
434 -49π ≈ 280.1 cm²
Step-by-step explanation:
The shaded area is the difference between the enclosing rectangle area and the circle area.
The rectangle is 14 cm high and 31 cm wide, so has an area of ...
A = WH
A = (31 cm)(14 cm) = 434 cm²
The circle area is given by ...
A = πr²
A = π(7 cm)² = 49π cm²
__
The shaded area is the difference of these, so is ...
shaded area = rectangle - circle
= (434 - 49π) cm² ≈ 280.1 cm²
Answer:
x = 6
Step-by-step explanation:
First, we need to cross multiply on both sides, which gives us:
9 * (5x - 6) = 27 * (2 + x)
45x - 54 = 54 + 27x
Now, we want to isolate x on either side.
We can substract 54 from both sides:
(45x - 54 = 54 + 27x) - 54
45x - 108 = 27x
We then subtract 45 from both sides:
(45x - 108 = 27x) - 45
-108 = -18x
Finally, we divide both sides by -18:
(-108 = -18x) / -18
6 = x
