Answer:
4/11
Step-by-step explanation:
Total number of marbles = 2(purple) + 4(white) + 3(blue) + 2(green)
= 11
Number of white marbles = 4
Probability of selecting a white marble =
number of white marbles/total number of marbles in the jar
= 4/11
Because it is square, the distance from home to first base is the same as first base to second base.
Home to First is one side of a right triangle, first to second is the second side of the right triangle and then home to second base would be the hypotenuse of a right triangle.
Using the Pythagorean Theorem we can solve for the hypotenuse:
Let C = the hypotenuse:
90^2 + 90^2 = c^2
8100 + 8100 = c^2
16200 = c^2
c = √16200
c = 127.279 feet, round to 127 feet.
The length of the rectangle is based on its width, so let's call width w and put the length in terms of the width. We are told that the width is 45 less than 4 times the width, so the length is 4w - 45. Area is found by multiplying length times width and we are given the area as 3325. So we will set up length times width and solve for w, which we will then use to solve for l. 3325 = (4w - 45)(w). Multiplying out we have
. Move the constant over by subtraction and then we will have a quadratic that can be factored to solve for w.
. We would put that through the quadratic formula to solve for w. When we do that we get that w = 35 and w = -23.75. The 2 things in math that will never EVER be negative is time and distance/length, so -23.75 is out. That means that the width is 35. The length is 4(35) - 45 which is 95. The dimensions of your rectangle are length is 95 and width is 35. There you go!
Um 4.2 maybe since -4.2 and 4.2 or on the opposite scale
2 years is the same as 24 months, so the equation would be:
685 = 24x + 85, where x is the monthly fee.
600 = 24x
600/24 = x
x = 25
The monthly fee is $25.