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Svetllana [295]
2 years ago
11

a charter bus holding 80 passengers costs $59.50 an hour. If a round trip took 5 hours, what did it cost each passenger (round t

o the nearest cen
Mathematics
1 answer:
nika2105 [10]2 years ago
7 0

Answer:

$23,800

Step-by-step explanation:

59.5 x 5 x 80 = $23,800

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Two cyclists leave city at same time, one going east and the other going west. The westbound cyclist bikes 3 mph faster than the
Bumek [7]

Speed of the east bound cyclist is 12 mph and the speed of west bound cyclist is 15 mph.

<u>Solution:</u>

Let us assume that x is speed of slower eastbound cyclist

So, x+3 will be the speed of faster westbound cyclist

We know that distance is the product of speed and time. That is,

\text{Distance}=\text{Speed}\times\text{Time}

West-bound DATA:

Rate of speed = x+3 mph ; Time = 6 hrs ; distance = 6(x+3) = 6x+18 miles

East-bound DATA:

Rate of speed = x mph ; time = 6 hrs. ; distance = 6x miles

On solving,

Distance apart = 162

\Rightarrow6x+18+6x = 162

\Rightarrow12x=162-18

\Rightarrow x=\frac{144}{12}\rightarrow x=12

So, the rate of speed of the east bound cyclist is 12 mph and the rate of speed of the west bound cyclist will be x+3=12+3=15 \text{ mph}

8 0
2 years ago
Subtract -5x^2+2x-5−5x <br> 2<br> +2x−5 from 7x^2-47x <br> 2<br> −4.
marta [7]

Answer:

-12x^2+46x-6

Step-by-step explanation:

combine like tens and subtract then from eachother

5 0
2 years ago
Please answer this question
makvit [3.9K]

Step-by-step explanation:

Using the properties of logarithms, the left side of the equation becomes

\log{3x^3} - \log{x^2} = \log{3x}

while the right hand side becomes

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2 years ago
Vector V is shown in the graph below.
Lady_Fox [76]

Answer:

v = -8i - 6j

Step-by-step explanation:

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The j is the vertical component.

Therefore, to go from the start to the end of the line, we need to travel negative 8 units (horizontally) and negative 6 units (vertically).

Therefore, v = -8i - 6j

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2 years ago
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Step-by-step explanation:

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3 years ago
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