Answer:
(3.8, 6.8)
Step-by-step explanation:
Point B:
Has coordinates (x,y)
AB and BC form a 2:3 ratio.
This means that:


We apply this both for the x-coordinate and for the y-coordinate.
x-coordinate:
x-coordinate of A: 3
x-coordinate of C: 5
x-coordinate of B: x




y-coordinate:
y-coordinate of A: 4
y-coordinate of C: 11
y-coordinate of B: y




Thus the correct answer is:
(3.8, 6.8)
Answer:
21:50
Step-by-step explanation:
We need to find the ratio of 420 m to 1 km.
We know that,
1 km = 1000 m
So,
The ratio becomes,

So, the required ratio is 21:50.
We know that:
Cost (Cranberry Juice): 6.3 per quart
Cost (Apple Juice): 3.6 per quart
Quantity (Apple Juice): 4 quarts
Quantity (Cranberry Juice): q quarts
Further we know that Terrence wants the cost of the juice to be 4.5 per quart
Hence Total Cost = Cost per quart × Total Number of quarts = (Cost per quart for Apple Juice × Total Number of Apple Juice Quarts) + (Cost per quart for Cranberry Juice × Total Number of Cranberry Juice Quarts)
⇒ Total Cost = 4.5 × (q+4) = 6.3 × q + 3.6 × 4
⇒ 4.5(q+4) = 6.3q + 14.4, which matches with option D
Hence, the correct option is D
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Answer:
c.
Step-by-step explanation:
That is the only answer choice that makes the most sense.
±10 = √100; in this case, they want the non-negative value, so it is 10.