Answer:
Step-by-step explanation:
Carter rode his bike 9/10 of a mile from his house to his grandmothers house. This means that the distance from Carter's house to his grandmother's house is 0.9 miles. On his way back home, he rode 3/8 of a mile before the tyre on his bike went flat. This means that he rode 0.375 miles before his tyre went flat. The distance he must walk before he gets home will be the total distance from home minus the distance that he rode. It becomes
0.9 - 0.375 = 0.575 miles
Answer:CD = x = 4 units
Explanation:We are given that the two triangles are similar. This means that we can set the similarity proportionality as follows:

W e have:
BC = 20 - x
AC = 20
CD = x
CE = 5
Substitute in the above proportionality and solve for x as follows:

4x = 20 - x
5x = 20
x = 4
Based on he above:
CD = 4 units
BC = 20 - x = 20 - 4 = 16 units
Hope this helps :)
y-intercept is -6 (0,-6) and the x-intercept is -3 (-3,0)
Answer:
465
Step-by-step explanation:
Since we are looking for the the number of combinations to have 2 different flavors in the ice cream, we can use the formula for combination.

Our variables are:
n = 31
k = 2




The number of possible combinations of having 2 different flavors out of 31 different flavors is 465.
Answer:
75th term in the sequence is 227.
Step-by-step explanation:
75 term of A.P is
a_75= a+ (n-1)d
Given series is 5,8,11,14.
hence a= 5 d= 8-5 = 3 , a_75.
a_75 = 5+(75-1)3
= 5+ (74)3
= 5 +(222)
= 227