Ill give brainliest for help with algebra. random answers will be reported. 1. bette drives at 60 miles per hour for 2 1/2 hours and at 75 miles for 1 1/2 hours. what is her average rate of speed?
2. kim has $4.75 in nickles and dimes. if she has twice as many dimes as nickels, how many of each coin does she have?

Rate = 75 mph; time = 3/2 hrs; distance = rt = 112.5 miles

Average rate = distance/time

average = (150+112.5)/(5/2 + 3/2) = 262.5/4 = 65.625 mph

Step-by-step explanation:

something that characterises a right triangle is the fact that we may use pythagoras' theorem to find any one of its sides given that we have the length of the other two sides. here, we have the length of the hypotenuse, √(87) yd, and one other side, √(23) yd, thus we can easily find the length of the remaining side using pythagoras' theorem as defined below:

c^2 = a^2 + b^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

thus, given that c = √(87) and a = √(23), we may substitute these into the formula we defined above to get:

c^2 = a^2 + b^2

(√87)^2 = (√23)^2 + b^2 (substitute c = √87 and a = √23 into the equation)

87 = 23 + b^2 (evaluate (√87)^2 = 87 and (√23)^2 = 23 - remember that the square root of a number, squared will equal that very same number)

64 = b^2 (subtract 23 from both sides)

√64 = b (take the square root of both sides)

8 = b (evaluate √64 = 8)

therefor, the length of the unknown leg in the right triangle is 8 yd (first answer).