MATHEMATICS HIGH SCHOOL

A bus on a regular schedule takes 3 1/4 hours to reach its destination. The express bus takes 2 1/2 hours to make the same trip. How much travel time can be saved by taking the express? A. 5 3/4 hours
B. 2 hours
C. 3/4 hour
D. 1 1/4 hours

Answers

Answer 1
Answer: Time taken by a regular bus to reach its destination = 3 1/4 hours
                                                                                   = 13/4 hours
Time taken by the express bus to make the same trip = 2 1/2 hours
                                                                                       = 5/2 hours
Time that can be saved by taking the express bus = (13/4) - (5/2) hours
                                                                                 = (13 - 10)/4 hours
                                                                                 = 3/4 hours
So 3/4 hours can be saved by taking the express bus rather than the regular bus. The correct option among all the options given in the question is option "C". I hope the procedure is simple enough for you to understand.
Answer 2
Answer:

Taking the express bus saves 3/4 hour of travel time compared to the regular bus.

To find the travel time saved by taking the express bus, we need to subtract the travel time of the express bus from the travel time of the regular bus.

Regular bus travel time: 3 1/4 hours

Express bus travel time: 2 1/2 hours

To perform the subtraction, we need to convert both times to the same denominator:

3 1/4 = 13/4 hours

2 1/2 = 5/2 hours

Now, subtract the two times:

13/4 - 5/2 = 13/4 - 10/4 = 3/4

Therefore, taking the express bus saves 3/4 hour of travel time.

The answer is C. 3/4 hour.

To know more about travel, refer here:

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A swimming pool is 50 meters long, 25 meters wide, and 3 meters deep. A liter is the same as 0.001 cubic meter. How many liters of water are needed to fill the pool?

Answers

First lets solve for the volume of the swimming pool. The formula for volume of a rectangular prism is:

V=l*w*h

How lets plug in our known values...

V=50*25*3=3750m³


1liter=0.001m³

1000liters=1m³


1000liters     x liters

________=________

    1 m³         3750m³

Cross Multiply

1x=3,750,000 liters


Answer=3,750,000 liters
3,750,000 liters

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Make me the brainiest.

1) Alicia's gross monthly pay is $1,700.Alicia pays 5.7% of her monthly salary for
Social Security. How much does Alicia
pay?
A $0.96
C $96.90
B $9.69
D $969.90

Answers

Answer:

96.90

Step-by-step explanation:

1700x.0570=96.90

1.) A ladder is leaning against the side so that the distance on the ground betweenthe base and the house is 7 feet.
If the ladder is 15 feet long, then what is the angle at which the ladder is leaning?

Answers

The angle at which the ladder is leaning is 62.18°.

What is trigonometry?

Trigonometry is the branch of mathematics that deals with calculating the angles of triangles or the lengths of their sides. It mainly concerned on the properties of right angled triangle.

For the given situation,

The length of the ladder = 15 feet

The distance between the house and the ladder base = 7 feet

The angle at which the ladder is leaning can be found by using trigonometric ratio, cos θ.

we know that, cos θ = (Base)/(Hypotenuse)

The figure below shows the relationship between the sides.

⇒ cos θ = (7)/(15)

⇒ θ = cos^(-1)((7)/(15) )

⇒ θ = 62.18

Hence we can conclude that the angle at which the ladder is leaning is 62.18°.

Learn more about trigonometry here

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Answer:

62.182°

Step-by-step explanation:

Using cos and sin you are able to find the height of the ladder from the bottom of the house to the place the top of the ladder is. You can do this by making a triangle. By using the lengths and angles already present you are able to find all angles of the triangle.

What is the grade average of 75 70 90 60 50 90 70

Answers

the average can be found by adding them all up and dividing that number by the number of items. If the result have you a number that's more than the largest or less than the lowest, you did it wrong.

(75+70+90+60+50+90+70)/7
= 505/7
=72.14

A pork roast was taken out of a hardwood smoker when its internal temperature had reached 180°F and it was allowed to rest in a 75°F house for 20 minutes after which its internal temperature had dropped to 170°F. Assuming that the temperature of the roast follows Newton’s Law of Cooling, a) Express the temperature of the roast, T as a function of time t.b) Find the amount of time that has passed when the roast would have dropped to 140°F had it not been carved and eaten. 

Answers

The roast was 82.2degrees Celsius when it was taken out of the hardwood smoker

It would of taken 80 mins for it to cool from 180 to 140
As every 20 mins it would decrease it's temperature by 10degrees C so it would be
80mins for it to reach 140 from 180
By Newton's law of cooling
T-S=Ce^(-kt)
S=75
at t=0
180-75=C=105
at t=20
170-75=105e^(-20k)=95 \n e^(-20k)= (95)/(105)
k=- (2.303)/(20) log_(10)( (95)/(105)=0.00500507463889254879012536550336
at T=140
140-75=65=105e^(-kt)
t= -(2.303)/(0.00500507463889254879012536550336)log_(10)( (65)/(105)==
t=96 minutes

What do you have to multply 3/8 by to get 1

Answers