Rearranging to standard form
= (x - 7)^2 + (y + 5)^2 = -65 + 49 + 25
(x-7)^2 + (y+5)^2 = 9
so the centre is at (7,-5) and the radius is 3
so the circle will be entirely in Quadrant 4.
Answer:
The price per pound of bananas is $0.5 and the price per pound of apples is $0.6
Step-by-step explanation:
Let
x -----> the price per pound of bananas
y -----> the price per pound of apples
we know that
12x+10y=12 -----> equation A
8x+5y=7 ----> equation B
Solve the system of equations by graphing
Remember that the solution is the intersection point both graphs
The intersection point is (0.5,0.6)
see the attached figure
therefore
The price per pound of bananas is $0.5
The price per pound of apples is $0.6
Answer:
The probability that she chooses a number greater than 5 is 5 of 10.
Step-by-step explanation:
The probability that she chooses a number greater than 5 is 5 of 10 because there are only 5 numbers that are greater than 5 and up to 10.
Answer:
The cost per pound of bananas is $0.84.
Step-by-step explanation:
The question asks to use the given information to set up a proportion and solve for the missing variable. In this case, we know that the cost of 2 1/4 (or 2.25) bananas is $1.89. Since they are asking for cost per pound, we can set up a ratio (fraction):

Since the cost of bananas is the same regardless of the number of pounds, we can set up a proportion to find the cost for just one (1) pound:
Where 'x' is the cost.
Using cross-multiplication and division we get: 2.25x = 1.89. Next, we use inverse operations to divide both sides by 2.25: 2.25x/2.25 = 1.89/2.25. Solve: x = 0.84 or $0.84 per pound.