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MArishka [77]
3 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]3 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]3 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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One number is 2 less than a second number. Twice the second number is 5 less than 3 times the first. Find the two numbers.
Evgen [1.6K]

Answer:

9 and 11  

Step-by-step explanation:

First number = x -2

Second number = x

  and   2x = 3(x-2)  - 5

            2x = 3x - 6 - 5

             x = 11

              first number = 11-2 = 9

8 0
2 years ago
A man can drive a motorboat 70 miles down the Colorado River in the same amount of time that he can drive 40 miles upstream. Fin
pochemuha

The speed of the current is 40.34 mph approximately.

<u>SOLUTION: </u>

Given, a man can drive a motorboat 70 miles down the Colorado River in the same amount of time that he can drive 40 miles upstream.  

We have to find the speed of the current if the speed of the boat is 11 mph in still water. Now, let the speed of river be a mph.  Then, speed of boat in upstream will be a-11 mph and speed in downstream will be a+11 mph.

And, we know that, \text{ distance } =\text{ speed }\times \text{ time }

\begin{array}{l}{\text { So, for upstream } \rightarrow 40=(a-11) \times \text { time taken } \rightarrow \text { time taken }=\frac{40}{a-11}} \\\\ {\text { And for downstream } \rightarrow 70=(a+11) \times \text { time taken } \rightarrow \text { time taken }=\frac{70}{a+11}}\end{array}

We are given that, time taken for both are same. So \frac{40}{a-11}=\frac{70}{a+11}

\begin{array}{l}{\rightarrow 40(a+11)=70(a-11)} \\\\ {\rightarrow 40 a+440=70 a-770} \\\\ {\rightarrow 70 a-40 a=770+440} \\\\ {\rightarrow 30 a=1210} \\\\ {\rightarrow a=40.33}\end{array}

8 0
3 years ago
A farm produce an average of 17.1 liters of milk per day . About how many days will it take to produces 200 liters of milk
Dafna11 [192]
Amounttotal=amount per day times number of days
200=17.1 times d
divide both sides by 17.1
11.695=d
about 12 days
7 0
3 years ago
Find the value of f(-8).
fredd [130]

Answer:

-8f

Step-by-step explanation:

5 0
3 years ago
The polynomial p(x)=x^3-6x^2+32p(x)=x 3 −6x 2 +32p, left parenthesis, x, right parenthesis, equals, x, cubed, minus, 6, x, squar
Ray Of Light [21]

Answer:

(x-4)(x-4)(x+2)

Step-by-step explanation:

Given p(x) = x^3-6x^2+32 when it is divided by  x - 4, the quotient gives

x^2-2x-8

Q(x) = P(x)/d(x)

x^3-6x^2+32/x- 4  =  x^2-2x-8

Factorizing the quotient

x^2-2x-8

x^2-4x+2x-8

x(x-4)+2(x-4)

(x-4)(x+2)

Hence the polynomial as a product if linear terms is (x-4)(x-4)(x+2)

8 0
2 years ago
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