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MArishka [77]
2 years ago
15

Two busses leave Billings at the same time. The Seattle bus heads west on I-90 at a speed of 73 miles per hour while the Chicago

bus heads east at a speed of 79 miles an hour. How many hours will it take them to be 532 miles apart?
Mathematics
2 answers:
eimsori [14]2 years ago
7 0

Answer:

  3.5 hours

Step-by-step explanation:

The buses are separating from each other at a speed of 73+79 = 152 miles per hour. Since time = distance/speed, the time it takes to be 532 miles apart is ...

  time = (532 miles)/(152 miles/hour) = (532/152) hours = 3.5 hours

Elden [556K]2 years ago
7 0

Answer:

After 3.5 hours buses will be 532 miles apart.

Step-by-step explanation:

Here one bus is moving west and other is moving east. That is they are moving in opposite direction.

Velocity of Seattle bus = 73 miles per hour west

Velocity of Chicago bus = 79 miles per hour east

Relative velocity = 73 + 79 = 152 miles per hour

We need to find time for which for their separation 532 miles.

Time,

           t=\frac{532}{152}=3.5hours

After 3.5 hours buses will be 532 miles apart

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Look at the link

Step-by-step explanation:

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2 years ago
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If a hospital patient is given 100 milligrams of medicine, which leaves the bloodstream at 14% per hour, how many milligrams of
sergejj [24]

Answer:

<em>24.66 mg</em><em> of medicine will be left.</em>

Step-by-step explanation:

The given exponential equation is,

A(t)=ie^{rt}

Where,

A(t) = amount after time t

i = initial amount = 100 mg

r = rate of change = -14% = -0.14 (-ve is taken because the amount is decreasing)

t = time = 10 hours

Putting the values,

A(t)=100e^{-0.14\times 10}

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3 0
2 years ago
What is the volume of the prism? 1080 cm 2700 cm 3240 cm 6480 cm
makkiz [27]

Answer:

Volume of prism = 3,240 cm³

Step-by-step explanation:

GIven.

Hexagonal prism.

Side of base(b) = 12cm

Height of prism = 9cm

Height of base (h)= 10cm

Find:

The volume of the prism.

Computation:

Area of base of hexagonal prism = n/2[bh]

Area of base of hexagonal prism = 6/2[(12)(10)]

Area of base of hexagonal prism = 360 cm²

The volume of prism = Area of base of hexagonal prism × Height of prism

The volume of prism = 360 × 9

Volume of prism = 3,240 cm³

3 0
2 years ago
The price that a company charged for a basketball hoop is given by the equation 50 - 5x^2 where x is the number of hoops that ar
DiKsa [7]

Answer: The correct option is first, the number of basketball hoops did the company previously produce to make the same profit is 1.3 million hoops.

Explanation:

Let the number of basketball hoops did the company previously produce to make the same profit be x.

Total Revenue = Price * Quantity

The total revenue in million dollars is,

\text{Total Revenue}=(50-5x^2)x

\text{Total Revenue}=50x-5x^3

The total cost in million dollars is,

Total Cost = One unit cost * Quantity

\text{Total Cost}=30x

Profit = Total Revenue - Total Cost

\text{Profit}=50x-5x^3-30x

The profit is 15 million.

15=20x-5x^3

5x^3-20x+15=0\\x^2-4x+3=0\\(x-1)(x^2+x-3)=0

The value of x is 1 and \frac{-1\pm \sqrt{13}}{2}.

The production is always positive therefore the value of x either 1 or 1.3. Since 1 million is not available in the options therefore the the correct optin is 1.3 million hoops.

4 0
2 years ago
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hmu also What is the sum and classification of Two-fifths + StartRoot 88 EndRoot? 9.78083151..., irrational 9.78083151..., ratio
schepotkina [342]

Answer:

9.78083151 irrational

Step-by-step explanation:

Here, we want to sum 2/5 + √(88) and check if it is rational or irrational

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Mathematically, adding a rational number to an irrational one gives an irrational result

so we have;

9.780831519647 irrational

4 0
2 years ago
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