Answer:
adult cost £7, child cost £2
Step-by-step explanation:
let a represent an adult and c a child , then
2a + 3c = 20 → (1)
a + 4c = 15 → (2)
Multiplying (2) by - 2 and adding to (1) will eliminate a
- 2a - 8c = - 30 → (3)
Add (1) and (3) term by term to eliminate a, that is
- 5c = - 10 ( divide both sides by - 5 )
c = 2
Substitute c = 2 into either of the 2 equations and evaluate for a
Substituting into (2)
a + 4(2) = 15
a + 8 = 15 ( subtract 8 from both sides )
a = 7
The cost of an adult ticket is £7 and a child ticket is £2
Answer:
x =106.5
y = 73.5
Step-by-step explanation:
Angle x is 1/2 arc SPQ
x = 1/2(98+115)
x = 1/2(213)
x =106.5
We know that x+y = 180 since this is an inscribed quadrilateral in a circle
x+y=180
106.5 +y =180
Subtract 106.5 from each side
106.5-106.5 +y =180-106.5
y = 73.5
Answer:
98 yards
Step-by-step explanation:
The new width is 40 yds + 2 yds = 42 yds.
Area = L × W
4200 square yds = L × 42 yds
L = 4200 yds ÷ 42 yds = 100 yds
The new length is 100 yds.
The old length = the new length - the width of the path × 2 = 100 yds - 1 yd × 2 = 100 yds - 2 yds = 98 yds.
The length of the park was 98 yds, before the path was built.
The area is 13.
I think you were on the right track there. The area of the one on the bottom is 4*1, or 4. The area of the top upright rectangle is 9*1, or 9. 9+4=13.
Answer:
(5,4)
Step-by-step explanation:
