Answer:
10.75 cm^2
Step-by-step explanation:
1. Area of semicircle, A= (pi x R^2) divided by 2
2. A= (3.14 x 5^2) divided by 2 = 39.25
3. Area of rectangle, A= l x w
4 A= 10 x 5 = 50
5. subtract
6. 50 - 39.25
7. 10.75
The property shown there is the distributive property.
It states that a(b + c) = ab + ac
Or a(b - c) = ab - ac
Answer:
x = 9
Step-by-step explanation:
Given y varies directly as y then the equation relating them is
x = ky ← k is the constant of variation
To find k use the condition y = 6 when x = 27
27 = 6k ( divide both sides by 6 )
4.5 = k
x = 4.5y ← equation of variation
When y = 2 , then
x = 4.5 × 2 = 9
Answer: Your choice is the first one above.
In our inequality, x is our unknown, so that is "a number" in the wording above. 1/2x means half the number. So we have half a number plus 3/4. Of course "plus" means sum, so we have "the sum of half a number and 3/4" so far. The inequality sign is greater than or equal to. That means that the left side CAN equal the right side and it can also be greater than the right side, but it's not ok to be less than the right side.
Answer: 1 van can hold 18 people, and 1 bus can hold 53 people.
What we know: Class A rented 2 filled vans and 7 buses with 407 students.
Class B rented and filled 1 van and 7 buses with 389 students.
What we need to know: How many students can a van carry? How many students can a bus carry?
Equation A: 2v + 7b = 407
Equation B: 1v + 7b = 389
Variables used: v = amount of people that can fill a van and b = amount of people that can fill a bus
This is quite a simple equation, because we know that class A used 1 more van than Class B, and the question says that each vehicle was full. So, all you have to do it subtract 389 from 407 to get 18. That means that 1 can can hold 18 people.
Now you just plug it in to find the value for b, 1(18) + 7b = 389
7b = 371
b = 53
So the amount of people that can fit on a van is 18, and the amount of people that can ft on a bus is 53.
