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shtirl [24]
3 years ago
11

Two trains leave stations 360 miles apart at the same time and travel toward each other. One train travels at 70 miles per hour

while the other travels at 80 miles per hour. How long will it take for the two trains to meet?
Mathematics
2 answers:
zvonat [6]3 years ago
4 0
You need to take 360 and divide that by the speed of the trains combined which equals 2.4 hours. 


so....  70 + 80= 150   now divide 360 by 150  and you get 2.4 hours as your answer XD hope this helped!
cricket20 [7]3 years ago
3 0
S=d/t     ⇒d=s*t
s=speed
d=distance
t=time

The first train :
d=x

x=70 miles/h*t                             ⇒   x=70t  (1)

The second train
d=360 miles - x

360 miles - x=80 miles/h*t          ⇒360-x=80t   ⇒ x=360-80t   (2)

therefore, with the equations (1) and (2) we have a systeme of equations:

x=70t
x=360-80t

we can solve this system of equations by equalization method.

70t=360-80t
70t+80t=360
150t=360
t=360/150=2.4     (≈2 hour  24 minutes)

Answer:  the first train meet with the second train in 2 hour 24 minutes. 


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Anna enjoys dinner at a restaurant in Washington DC where the sales tax on meals is 5%. She leave a 20% tip on the price of her
Maru [420]

Answer:

52.40

Step-by-step explanation:

Discussion

Suppose the meal starts out as x.

She pays 5% of x as a sales tax

So that brings the total up to 100% + 5% = 105%

Before paying, she pays 20% on x as her tip. The tax does not touch the tip.

So that brings the total up to 100% + 5% + 20% = 125% of this is based on x, the cost of the meal.

So 125% of x = 65.50                          change the % to a fraction

125/100 * x = 65.50                             Multiply both sides by 100/125  

125/100 * 100/125x = 100/125 * 65.50

x = 100/125 * 65.50                             Multiply by 100

x = 6550 / 125                                     Divide by 125

Check

Tax = 5% * 52.40 = 5/100 * 52.40 = 2.62

Tip = 20%*52.40 = 20/100 * 52.40=10.48

Meal =                                               52.40

Total                                                  65.50  Just as it should

8 0
3 years ago
A random survey of 9th and 12th grade students was taken regarding the type of drink they liked to order at their local coffee s
san4es73 [151]

The table is shown below in the attached picture.

The grand total is the bottom rightmost cell, yellow in color.

12th graders AND likes specialty cold drinks is the cell colored green.

These 137 people are p% of the total. To get the value of p, we will divide this number (137) by grand total (750) and multiply by 100 to get the value.

\frac{137}{750} =0.183=18.3%.

Rounded to the nearest percent, it is 18%. Answer choice D is correct.


ANSWER: D

5 0
3 years ago
An airline company is considering a new policy of booking as many as 191 persons on an airplane that can seat only 180. (Past st
notka56 [123]

Answer:

1.3559644*10^-^5

Step-by-step explanation:

From the information given we extract the following data

Total Number of Trials (N) = 191

Required Value (x) = 181 (notice it is not 180 since at that value we have enough passengers)

Odds of success (p) = 0.85

Using the binomial formula for calculating probability, i.e.

P(x; N, p) = nCx * p^x *(1-p)^{N-x}

Inputting the values

P(181; 191, 0.85) = 191C181 *0.85^{181}  *(1-0.85)^{191-181} \\ P(181; 191, 0.85) = 1.3559644*10^-^5

3 0
3 years ago
2. Jill works for Fast Food Inc. and earns $332 per week and is paid bi-weekly. How much is deducted
adoni [48]

Answer:

Social Security: $9.63                                                                                    

Step-by-step explanation:

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A 16 foot ladder rests against the side of a house and the base of the ladder is 4 feet away. How high above the ground is the t
PtichkaEL [24]

Answer:

  15.5 ft

Step-by-step explanation:

The geometry of the problem can be modeled by a right triangle with hypotenuse 16 ft and one side length of 4 ft. If x represents the height of the ladder on the building, then the Pythagorean theorem tells us ...

  x^2 + (4 ft)^2 = (16 ft)^2

  x^2 = 240 ft^2 . . . . . . subtract 16 ft^2

  x ≈ 15.5 ft . . . . . . . . . . take the square root

The top of the ladder is about 15.5 ft above the ground.

8 0
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