20% of 48.25
(20/100) * 48.25
(1/5) * 48.25
9.65
tip is 9.65
ANSWER
The simplest form of the ratio

is

EXPLANATION
The ratio given to us is

We can divide each term in ratio by the same number.
To find the ratio in the simplest form we divide the terms in the ratio by their highest common factor, which is

This implies that,

We simplify this to obtain,

The correct answer is C.
Alternatively,


This implies that,
Answer:
The Answer is B
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here diameter = 12, thus radius = 12 ÷ 2 = 6 and (h, k) = (2.5, - 3.5), thus
(x - 2.5)² + (y - (- 3.5))² = 6², that is
(x - 2.5)² + (y + 3.5)² = 36 ← equation of circle
The expression (-4x + 9)^2 cannot be equal to (-4x)^2 + 9^2 because it is actually equal to the product of two factors (3 + 2sqrt x) (3- 2 sqrt x). One cannot use obviously distributive property. Hence the answer to this problem should be C. as she did not understand both perfect square trinomial and did not determine the product
Answer:
annual growth rate m = 637.5 people / year
Step-by-step explanation:
Solution:-
- The scatter plot displaying the city's population was modeled by a linear equation of the form:
y = m*x + c
Where, m and c are constants.
- The scatter plot displayed the following relation of the city's population (p):
p = 637.5*t + 198,368.1
Where, p : The population in t years after after 1990
t : The number of years passed since 1990.
- The slope of the graph "m = 637.5" denotes the rate of change of dependent variable with respect ot independent variable:
dp / dt = m = 637.5
- So the rate of change of population per unit time t since 1990 has been constant with a an annual growth rate m = 637.5 people / year