Answer:
Step-by-step explanation:
if the ratio is 8:11 then 40:x
Cross multiply
8 40
11 x
8x=440
And divide by 8
x=55. She has 55 books
Answer:
You did not post the options, but i will try to answer this in a general way.
Because we have two solutions, i know that we are talking about quadratic equations, of the form of:
0 = a*x^2 + b*x + c.
There are two easy ways to see if the solutions of this equation are real or not.
1) look at the graph, if the graph touches the x-axis, then we have real solutions (if the graph does not touch the x-axis, we have complex solutions).
2) look at the determinant.
The determinant of a quadratic equation is:
D = b^2 - 4*a*c.
if D > 0, we have two real solutions.
if D = 0, we have one real solution (or two real solutions that are equal)
if D < 0, we have two complex solutions.
Answer:
f(x)=5.05 sin((pi/12)x) + 5.15
Step-by-step explanation:
Answer:
3 miles
Step-by-step explanation:
5 + m=8
Subtract 5 from each side
5-5 + m=8-5
m = 3
She needs to swim 3 more miles
Answer:
Area of the rectangular park = 2/3 square mile
Let us assume the width of the rectangular park = x
Then
The length of the rectangular park = 2 2/3 * x mile
= 8x/3 mile
Then
Area of the rectangular park = Length * Width
2/3 = (8x/3) * x
2/3 = 8x^2/3
(2 * 3)/3 = 8x^2
2 = 8x^2
x^2 = 2/8
x^2 = 1/4
x^2 = (1/2)^2
x = 1/2
So the width of the park is 1/2 feet.
Step-by-step explanation:
Brainliest would be nice