(a) 32 orange marbles
the ratio of red : blue = 18 : 48 = 3 : 8 ( in simplest form )
the ratio of green : orange = 3 : 8 ( equal ratio )
divide green by 3 to obtain 1 part of ratio then multiply this value by 8 to obtain the amount of orange marbles
3 parts → 12
8 parts → 12 × = 32 orange marbles
Answer:
C. (8, 2)
Step-by-step explanation:
To find which point is not on the graph, find which set of coordinates makes the equation incorrect.
When plugged into the equation, the point (8, 2) makes it incorrect:
y = 10 + x
2 = 10 + 8
2 = 18
2 18
The equation is incorrect because 2 is not equal to 18.
So, the point that is not on the graph is C. (8, 2)
You can use the direction vector as the coefficients of x and y for a line through (0, 0) perpendicular to that direction: x + y = 0. (A common factor of 4 can be removed from the coefficients.)
Translating the line up 2 and right 9, so it goes through the given point, we get ...
... (x -9) +(y -2) = 0
or
... x + y = 11
Answer:
Step-by-step explanation:
Since the sequence is geometric (it multiplies the previous number each time). The nth term sequence would be
Because the sequence multiplies by 3 each time, The base number in that equation would be .
So of the equation would be:
.
Compare the 2 equations:
4, 12, 36
3, 9 ,27
The difference between the 2 equations is: 1, 3, 9 which itself is a geometric sequence so the nth term of this new equation is: .
Combine these 2 equations together and you get:
.