Answer:
a = 0
Step-by-step explanation:
3(4a+7)=5(2a+4)+1 Distribute 3 through the parentheses
- > 12a + 21 = 5(2a + 4) +1
5(2a + 4) +1 --> 10a + 20 + 1
12a + 21 = 10a + 20 + 1 --> 12a + 21 = 10a + 21 --> 12a = 10a
12a - 10a = 0 --> 2a = 0
Divide both sides of the equation by 2 --> a = 0
Answer:
$14.80(m) + $12(n) = $95.2
Solved:
$14.80(4) + $12(3) = $95.2
Step-by-step explanation:
m represents Adults ($14.80m) | n represents Children ($12n)
4 Adults times $14.80 equals $59.2
3 Children times $12 equals $36
Add $36 and $59.2 and you get $95.2
Given a <span>graph showing the relationship between daily caffeine consumption and
resting heart rate for some adults.
In the graph, the y-axis is labelled 'resting heart rate (bpm)' while the x-axs is labelled 'total coffee intake (cups)'
From the graph it can be seen that the y-value increases as the x-value increases.
Thus the phrases that describe the
relationship between heart rate and daily intake of caffeine are as follows:
</span>
increasing heart rate and positive correlation
Answer:
150 degrees
Step-by-step explanation:
Graphing the complex number we see the angle terminates in the second quadrant. This means the argument, the angle, will be between 90 degrees and 180 degrees.
So if we create a right triangle with that point after graphing it. We see the height of that triangle is 5 because that is the imaginary part. The base of that triangle has length 
. The problem is this doesn't give us any part of the angle we want, but it does give us the complementary of the part of the angle that is in second quadrant.
Let's find the complementary angle.
So the opposite side of the complementary angle is 5.
The adjacent side of the complementary angle is .
So 90-30=60.
The answer therefore 60+90=150.
