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Aleonysh [2.5K]
3 years ago
6

What is missing for the following quantity to be true? 3x + 4y + 7a = 4y + 3x + __

Mathematics
1 answer:
Alex3 years ago
4 0
The answer to your question is 7a.

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Two trains started moving at the same time, train A from Boston to New York, and train B from New York to Boston. The distance b
Ede4ka [16]

Answer:

  • <u>After 1.7 hours</u>

Explanation:

<u>1. Calculate the average speed of train B</u>

  • 60mph = 3/4 (s) ⇒ s = 60 (4/3) mph = 80 mph

<u>2. Build a table</u>

When the two trains meet:

Train     Average speed     Distance       time (distance/average speed)

                 mph                            

A                 60                             x                        x/60

B                 80                        240 - x                (240 - x) / 80

<u>3. Write the equation</u>

The time, when the two trains meet, is the same for both trains:

                  \dfrac{x}{60}=\dfrac{240-x}{80}\\ \\ \\ 80x=14,400-60x\\ \\ 80x+60x=14,400\\ \\ 140x=14,400\\ \\ x=14,400/140\\ \\ x=102.85miles

<u>4. Calculate the time:</u>

  • x/60 = 102.86 / 60 = 1.7 hours

The two trains will meet after 1.7 hours

7 0
3 years ago
Which answer best describes the solution to the equation
Mazyrski [523]
5z + 4 = 4 + 5z \\ \\ Infinite \ Solutions \\ \\ Answer: \fbox {C) Infinite Solutions}
5 0
3 years ago
What is the ratio of females who prefer strawberry ice cream? ( DO NOT SIMPLIFY)
Vaselesa [24]

Answer:

The answer is 15/37.

Step-by-step explanation:

There are 15 girls who like starwberry icecream, and the total of girls is 37.

So, the ratio of girls who prefer strawberry icream to the whole group of girls, 15 out of 37 (15/37 or 15:37) like strawberry icecream.

5 0
2 years ago
What did sin theta/theta whisper worksheet answer key worksheet?
djyliett [7]
To evaluate
\lim_{\theta \to 0}  \frac{\sin\theta}{\theta}

First, we input 0, for theta in the function to obtain:
\frac{\sin0}{0} = \frac{0}{0}

This is an indeterminate form.

So, we apply L'Hopital's rule by differentiating the numerator and the denominator as follows:

\lim_{\theta \to 0} \frac{\sin\theta}{\theta}=\lim_{\theta \to 0} \frac{ \frac{d}{d\theta} (\sin\theta)}{\frac{d}{d\theta}\theta} \\  \\ =\lim_{\theta \to 0} \frac{\cos\theta}{1}=\cos0=1
7 0
3 years ago
let X = {a,b,c}, Y = {a,c,b}, Z = {a,b,b,c,c,c}. what are the elements of X, Y, and Z? how are X,Y, and Z related?
zhannawk [14.2K]

They're equal.

X=Y=Z

7 0
3 years ago
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