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REY [17]
3 years ago
5

Can someone help with this please

Mathematics
1 answer:
Vlad1618 [11]3 years ago
5 0

9514 1404 393

Answer:

  a) (1.75 +1.00d)/4 < (3.50 +1.50d)/5

  b) 3.70

Step-by-step explanation:

a) You want ...

   classic cost < XL cost

Using the given expressions for the costs, the inequality is ...

  (1.75 +1.00d)/4 < (3.50 +1.50d)/5

__

b) For a 10-mile ride, the XL cost is ...

  (3.50 +1.50(10))/5 = (3.50 +15.00)/5 = 18.50/5 = 3.70

Each passenger in a group of 5 friends pays $3.70 for the 10-mile ride.

_____

<em>Additional comment</em>

Each expression can be divided out to give ...

  classic cost per person = $0.4375 +0.25d

  XL cost per person = $0.70 +0.30d

Comparing these, we see there is no positive value of d that will make the XL cost per person be less than the classic cost per person. Both the initial fee and the per-mile cost are lower for the classic.

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The degree measure of angle a is 135°. which expression below is equivalent to the radian measure of angle a?
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It is given that \angle a=135^{\circ}.

Now, know that in 180 degrees there are \pi radians. This can be written as:

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Thus, to find the measure of the given angle of 135^{\circ} in radians, we will have to multiply the above equation by 135. Thus, we get:

135^{\circ}=\frac{\pi}{180}\times 135 radians

135^{\circ}\approx2.356 radians

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