Let the slower train's velocity be x-21
Let the faster train's velocity be x
We know that the approach speed is the sum of both speeds, so x+x -21= 2x-21.
The approach rate is given by Distance/time = 471/3 = 157mpH
x+x-21=157
2x=157+21
2x=178
x=89mph
The slower train is travelling 89-21 = 68mph
The faster train is travelling 89mph.
The associative property of addition is shown in equations where the order in which the evaluation is made does not change the result, providing the numbers remain in the same order. Option B demonstrates this.
Answer:
4t³-5t²+2t+200 - (3t³-2t²+5t+100) = t³-3t³-3t+100
Step-by-step explanation:
The complete sentence for the <em>unit</em> circle is:
<em>When t = 0, AP = 0, so sin t will begin at a value of 0. As t increases from 0 to π/2, sin t increases. Eventually, when t = π/2, OP will be 0, so sin t = AP will be 1.</em>
<h3>How to complete a sentence with concepts from trigonometry</h3>
In this problem we have sentence to be completed by direct observation to the variables seen in a unit circle, a form used to teach trigonometric functions in a <em>graphic</em> manner. Now we proceed to present the complete sentence below:
<em>When t = 0, AP = 0, so sin t will begin at a value of 0. As t increases from 0 to π/2, sin t increases. Eventually, when t = π/2, OP will be 0, so sin t = AP will be 1.</em>
To learn more on trigonometric functions: brainly.com/question/6904750
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Answer:
n = 32 - 14 (= 18)
Step-by-step explanation:
You haven't given the answer options, however I assume it will be written in this form. I.e. the number of cupcakes still needed is just the total number of students (32) minus the number that Jenna bought (14).
so n = 32 -14 (=18)
