Answer:
v=2 s=5
Step-by-step explanation:
a) v=volleyball s=soccer
s × v = 7
" the soccer (s) practice lasts 1 hour (1) more than (+) twice as long (2) as the volleyball (v) practice; this simplifies to: s = 1 + 2v
b) substitute equation for soccer for s
(1 + 2v) + v = 7
solve for v
1 + 3v = 7 (2v + v = 3v; that's where the 3v comes from)
we subtract 1 from both sides
3v = 6
we divide 3 from both sides
v=2
solve for s
since we know what v equals, we substitute it in
s + 2 =7
subtract 2 from both sides
s = 5
Answer:
The walk will cost $8164.
Step-by-step explanation:
Given:
Diameter of the circular pond (D) = 24 yd
Width of the gravel path (x) = 2 yd
Cost per yard of the path = $50
Now, radius of the circular pond is half of the diameter and is given as:
Now, area of the pond is given as:
Area of the complete path including the pond area is given as:
Now, area of the gravel path can be obtained by subtracting the pond area from the total outer area. This gives,
Now, using unitary method,
Cost of 1 square yard of path = $50
∴ Cost of 163.28 square yard of path = 50 × 163.28 = $8164
Hence, the walk will cost $8164.
Answer:
45 horseshoe crabs and 45 sea stars
Step-by-step explanation:
The aquarium initially contained x crabs and x sea stars.
"After 15 horseshoe crabs and 27 sea stars are removed the ratio of horseshoe crabs to sea stars is 5:3"
(x-15):(x-27) = 5:3
(x-15)/(x-27) = 5/3
3(x-15) = 5(x-27)
3x-45 = 5x-135
90 = 2x
x = 45
Answer:
13.35
Step-by-step explanation:
you multiply 89 times 15
then divide that with 100
