Answer:
the are perpendicular to each other (option B)
Answer:
The price of hot dog is $2.5 and that of a pretzel is $1.25.
Step-by-step explanation:
Let the cost of hotdogs be x and that of pretzels be x.
So,
4x+3y = 13.75 ...(1)
and
2x+5y = 11.25 ...(2)
Multiply equation (2) by 2.
4x+10y = 22.5 ...(3)
Subtract equation (1) from (3).
4x+10y-(4x+3y) = 22.5-13.75
4x+10y-4x-3y = 8.75
7y = 8.75
y = 1.25
Put the value of y in equation (1).
4x+3(1.25) = 13.75
4x+3.75 = 13.75
4x = 13.75-3.75
4x = 10
x = 2.5
So, the price of hot dog is $2.5 and that of a pretzel is $1.25.
Answer: 8 centimeters
Step-by-step explanation: To find the radius of the circle, remember that the formula for the area of a circle is πr² and since we're given that the area of our circle is 64π, we can set up the equation 64π = πr².
To solve for <em>r</em>, we first divide both sides of the equation by π.
On the left side, the π's cancel and we're left with 64 and on the right side, the π's cancel and we're left with r².
So we have 64 = r².
Next, we take the square root of both sides to get 8 = r.
So the radius of our circle is 8 centimeters.
The answer is 27 because 8-2=6 and 9-6=3 then 8*2=24 and 24+3=27
The change from 3/4 to 4/10 is found by obtaining and applying the LCD:
15/20 to 8/20 is a negative change, and the amount of the change was -7/20.
We compare this result to the original value, 15/20, to obtain the percentage change in the fraction:
-7/20
----------- = -7/15 = -0.467 => -46.7%
15/20
