Therefore, slope of line DC = slope of line AC = -0.4.
Answer:
C
Step-by-step explanation:
To solve this problem, we need to first find the ratio of numbers less than four to total numbers.
There are 3 numbers on the wheel less than 4 (1, 2, and 3). There are 8 total numbers, meaning the ratio of numbers less than 4 to total numbers is 3:8.
Now, we need to find the probability of spinning a white number. There are 3 white numbers on the wheel (3, 5, 8). However, one of these numbers (3) is less than 4, so it is already accounted for in the previous ratio. There are 2 numbers left, meaning the ratio of remaining white numbers to total numbers is 2:8.
Adding this to the original equation, we get 5:8. As a fraction, 5:8 = 5/8. The answer that correctly highlights this is C.
Answer:
3
Step-by-step explanation:
Find the prime factors of each term in order to find the greatest common factor
well, we'll first off put the point AC in component form by simply doing a subtraction of C - A, multiply that by the fraction 2/3, and that result will get added to point A, to get point B.
![\bf \textit{internal division of a segment using a fraction}\\\\ A(\stackrel{x_1}{-2}~,~\stackrel{y_1}{5})\qquad C(\stackrel{x_2}{4}~,~\stackrel{y_2}{-4})~\hfill \frac{2}{3}\textit{ of the way from }A\to C \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x_2}{4}-\stackrel{x_1}{(-2)}, \stackrel{y_2}{-4}-\stackrel{y_1}{5})\implies (4+2,-9) \stackrel{\textit{component form of segment AC}}{\qquad \implies \qquad (6,-9)} \\\\[-0.35em] ~\dotfill](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Binternal%20division%20of%20a%20segment%20using%20a%20fraction%7D%5C%5C%5C%5C%20A%28%5Cstackrel%7Bx_1%7D%7B-2%7D~%2C~%5Cstackrel%7By_1%7D%7B5%7D%29%5Cqquad%20C%28%5Cstackrel%7Bx_2%7D%7B4%7D~%2C~%5Cstackrel%7By_2%7D%7B-4%7D%29~%5Chfill%20%5Cfrac%7B2%7D%7B3%7D%5Ctextit%7B%20of%20the%20way%20from%20%7DA%5Cto%20C%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%28%5Cstackrel%7Bx_2%7D%7B4%7D-%5Cstackrel%7Bx_1%7D%7B%28-2%29%7D%2C%20%5Cstackrel%7By_2%7D%7B-4%7D-%5Cstackrel%7By_1%7D%7B5%7D%29%5Cimplies%20%284%2B2%2C-9%29%20%5Cstackrel%7B%5Ctextit%7Bcomponent%20form%20of%20segment%20AC%7D%7D%7B%5Cqquad%20%5Cimplies%20%5Cqquad%20%286%2C-9%29%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill)
Answer:
We let x be the number of hours both could the job together.
The fraction of the job done by Elias is
x/40
The fraction of the job done by Niko is
x/50
Together they would be able to finish the job
x/40 + x50 = 1
x = 1 / (1/40 + 1/50)
x = 22.22 min
Step-by-step explanation:
