Answer:

Step-by-step explanation:
Notice that we are in the presence of an arithmetic sequence (there is a common difference of 6 between a term and the next). So thisis an arithmetic sequence with first term
. and common difference "<em>d</em>" = 6.
Recall now the formula for the nth term (
) of an arithmetic sequence:

Then, using our values in the formula, we get:

Answer:
A
Step-by-step explanation:
3 cups of flour produces 2 batches of dinner rolls. So, if one batch makes 15 rolls, then 2 batches makes 30 rolls. Therefore, 3 cups of flour produces 30 rolls.
Laura wants to find how much flour she needs to make 12 rolls.
Here's the setup:
Let x be the number of cups of flour needed. Then,
(3 cups of flour)/(30 rolls)=(x cups of flour)/(12 rolls)
This is the set up for all equations involving ratios. The units should be consistent. Notice how I have flour/rolls=flour/rolls.
It is not necessary to solve the equation, but you should to make sure your answer makes sense. By cross-multiplying, we get x=(3*12)/30 or 1.2 cups.
This solution makes sense. Because 3 cups of flour produces 30 rolls, one cup produces 10 rolls. We need slightly more than 1 cup to get 12 rolls.
Answer:
240 m
Step-by-step explanation:
Figure is attached.
The distance the particle travels is the area under the v-t graph over the time interval from 0 min to 4 min. The reason you can't just multiply velocity by time is that the velocity is changing at a constant rate over the given time interval (the line is going upward--the particls is speeding up).
What's the area under the graph?
The red outline forms a trapezoid. The area of a trapezoid is
where the <em>b</em>'s are the lengths of the two parallel base and <em>h</em> is the height (the distance between the bases).
Reading the graph carefully (notice the scales!)...
