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Nimfa-mama [501]
3 years ago
8

16. A train travels at an average speed of 85 miles per hour. If a trip

Mathematics
1 answer:
STALIN [3.7K]3 years ago
5 0

Answer:

340 miles

Step-by-step explanation:

From definition of speed, it's distance traveled per unit time

Speed=Distance/time

Making distance the subject

Distance=Speed* time

Substituting speed of 85 miles per hour and time of 4 hours

Distance=85*4=340 miles

Therefore, if the train maintains the same speed, the distance between Sue's house and Kentucky is approximately 340 miles

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Helen [10]

Well here's your answer straight <u><em>he must pay 29.82$ </em></u>and here's my work,

  1. 20% of 35 is 7 and since its 20% off we must subtract 35-7=28
  2. Next it said there's a 6.5 tax so that means we are adding on to 28$
  3. 6.5 of 28 is 1.82 so we add 28+1.82 which equals your answer 29.82

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3 years ago
Evaluate the integral. (Assume a ≠ b. Remember to use absolute values where appropriate. Use C for the constant of integration.)
Bess [88]

Answer:

<u><em>F(x)= 5*[\frac{x^{3} }{3} + (a*b)*\frac{x^{2} }{2} + a*b*x + C.</em></u>

Step-by-step explanation:

<u><em>First step we aplicate distributive property to the function.</em></u>

<u><em>5*(x+a)*(x+b)= 5*[x^{2}+x*b+a*x+a*b]</em></u>

<u><em>5*[x^{2}+x*(b+a)+a*b]= f(x), where a, b are constant and a≠b</em></u>

<u><em>integrating we find ⇒∫f(x)*dx= F(x) + C, where C= integration´s constant</em></u>

<u><em>∫^5*[x^{2}+x*(a+b)+a*b]*dx, apply integral´s property</em></u>

<u><em>5*[∫x^{2}dx+∫(a*b)*x*dx + ∫a*b*dx], resolving the integrals </em></u>

<u><em>5*[\frac{x^{3} }{3} + (a*b)*\frac{x^{2} }{2} + a*b*x</em></u>

<u><em>Finally we can write the function F(x)</em></u>

<u><em>F(x)= 5*[\frac{x^{3} }{3} + (a*b)*\frac{x^{2} }{2} + a*b*x ]+ C.</em></u>

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She worked 30 hours per week.

The problem turns out to be the following:
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First you need to have only one x variable so you subtract the X's:
3x-2x=X
The problem now turns into 15=x-15.
You have to isolate the X so you do x+15. You have to do the same to the other side so 15+15=30, therefore x=30
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