Answer:
first you have to find the values of the two sides of the rectangle. BC=5 cm
Area of a trapezium
= 1/2 x (5+9) x (11-5)
= 42 cm^2
Answer: $27.50
Explanation:
4 students + 8 friends = 12 people altogether
$330.60/12 = $27.50
Therefore, it’s going to cost approximately $27.50 per person.
Answer:
1350m
Step-by-step explanation:
Let the distance ran by Denise, Farah and Elaine be D, F and E meters respectively.
From the given information,
D= ⅔(E +F) -----(1)
E= ½(D +F) -----(2)
Let's get rid of the fraction so the equations are much easier to work with.
From (1):
3D= 2(E +F) <em>(Multiply both sides by 3)</em>
3D= 2E +2F -----(3) <em>(</em><em>Expand</em><em>)</em>
From (2):
2E= D +F -----(4)
Substitute (4) into (3):
3D= D +F +2F
3D -D= 3F
2D= 3F
Given that Farah ran 360m, F= 360.
2D= 3(360)
2D= 1080
D= 1080 ÷2
D= 540
2E= D +F
2E= 540 +360
2E= 900
E= 900 ÷2
E= 450
Total distance the 3 girls ran
= D +F +E
= 540 +360 +450
= 1350m
Alternatively, you could start by substituting F= 360 to equations (1) and (2).
Answer:
- 8x + 17
Step-by-step explanation:
7(2 - x) - (x - 3)
14 - 7x - x + 3
- 8x + 14 + 3
- 8x + 17
Answer:
8 tricycles
Step-by-step explanation:
Make a system of equations
Let t represent tricycles, and b represent bicycles
We know that tricycles have 3 wheels, bicycles have 2, and there are a total of 64 wheels
We also know each has one rider, and there are a total of 28 riders
3t+2b=64
t+b=28
Subtract t from both sides in the second equation. This will allow us to use substitution
b= -t+28
Substitute -t+28 in for b in the first equation
3t+2b=64
3t+2(-t+28)=64
Distribute the 2
3t + 2*-t+ 2* 28 =64
3t-2t+56=64
Combine like terms
t+56=64
Subtract 56 from both sides
t=8
There were 8 tricycles
