Answer:
35
Step-by-step explanation:
Test each one out! Coordinates are written in (x, y) so just substitute each one
A) 3(1)+2(4) = 11
B) 3(2)+2(3) = 12
C) 3(3)+2(1) = 11
D) 3(4)+2(-1) = 10
Out of all these answers B has a value less than 12 so the answer is:
B (2,3)
Answer:
The area of the circle is 28.26
The area of the circle in terms of pi is 9π
Step-by-step explanation:
radius = half of diameter
d = 6
r = 6/2 = 3
To solve this problem we need to use the area formula of a circle:
a = area
r = radius = 3
π = pi
a = π * r²
we replace with the known values
a = π * (3)²
a = π * 9
a = 9π
The area of the circle in terms of pi is 9π
9 * 3.14 = 28.26
The area of the circle is 28.26
*Given
Money of Phoebe - 3 times as much as Andy
Money of Andy - 2 times as much as Polly
Total money of Phoebe, - £270
Andy and Polly
*Solution
Let
B - Phoebe's money
A - Andy's money
L - Polly's money
1. The money of the Phoebe, Andy, and Polly, when added together would total £270. Thus,
B + A + L = £270 (EQUATION 1)
2. Phoebe has three times as much money as Andy and this is expressed as
B = 3A
3. Andy has twice as much money as Polly and this is expressed as
A = 2L (EQUATION 2)
4. This means that Phoebe has ____ as much money as Polly,
B = 3A
B = 3 x (2L)
B = 6L (EQUATION 3)
This step allows us to eliminate the variables B and A in EQUATION 1 by expressing the equation in terms of Polly's money only.
5. Substituting B with 6L, and A with 2L, EQUATION 1 becomes,
6L + 2L + L = £270
9L = £270
L = £30
So, Polly has £30.
6. Substituting L into EQUATIONS 2 and 3 would give us the values for Andy's money and Phoebe's money, respectively.
A = 2L
A = 2(£30)
A = £60
Andy has £60
B = 6L
B = 6(£30)
B = £180
Phoebe has £180
Therefore, Polly's money is £30, Andy's is £60, and Phoebe's is £180.
