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3 years ago

A trip 50 miles out of town takes 45 minutes. If the same person

Mathematics

1 answer:

dsp733 years ago

6 0

Hey there! I'm happy to help!

We see that it takes 45 minutes for a person to drive 50 miles. We can write this as a fraction that is 45/50, which simplifies to 9/10, meaning it would take this person 9 minutes to travel 10 miles.

So, how long would it take to travel 120? Well, we know that if we take 10 miles and multiply it by 12 we will have 120 miles. If we take the time it takes to drive those ten miles (9 minutes) and multiply it by 12, we will figure out how long it takes to drive 120 miles!

9×12=108

However, we want this to be written in hours. We know that there are 60 minutes in an hour, and if we subtract 60 from 108 we have 48. This gives us 1 hour and 48 minutes.

Therefore, it will take 1 hour and 48 minutes for this person to travel 120 miles at the same rate.

Have a wonderful day! :D

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Train A leaves New York for California at the same time Train B leaves California for New York. They are 2900 miles apart. They

professor190 [17]

Answer:

(A) 120 mph

(B) -120 mph

Step-by-step explanation:

Given that,

New York and California are 2900 miles apart,

Both the trains A as well as B travel at an average speed of 120 mph.

Assuming that the path between the starting point in New York and the ending point in California is straight, so the given distance of 2900 miles is actually the shortest distance which is the displacement between the source and destination.

So, the given speed on the straight path is actually the velocity.

Assuming that the velocity is positive in the direction from New York towards California.

(A) So, the velocity of train A (towards California) = 120 mph.

(B) The velocity of train B (towards New York) = -120 mph.

(C) Bothy are moving towards each other, so the relative velocity between them is 120+120=240 mph, and the initial distance between them is 2900 miles.

When they meet, the displacement between them becomes zero, displacement covered= 2900-0=2900 miles.

So, the time, t, taken to cover the displacement 2900 miles with a relative velocity of 240 mph is

$t=\frac{2900}{240}$ [as time= displacement / relative velocity]

$\Rightarrow t=12\frac{1}{12}$ hours

=12 hours 5 minutes.

7 0

3 years ago

What is theperature of this object

Andrei [34K]

Answer:

59-60 F and 15 C

Step-by-step explanation:

Hope this helps!

A brainlist would be appreciated! I'm almost an expert!

6 0

3 years ago

Jolene invests her savings in two bank accounts, one paying 4 percent and the other paying 8 percent simple interest per year. S

daser333 [38]

The average rate is (4%*2+8%)/3=16/3%=5-1/3%
Therefore the original investment was
3664/(16/300)=300*3664/16=68700,
of which 1/3 was at 8% = 22,900
and 2/3 was at 4% = 45,800
Check:45,800*.04+22,900*.08=3664 yay!

8 0

3 years ago

A brick is 3 1/2 inches wide by 8 inches long. How much area would this brick cover?

Angelina_Jolie [31]

Answer:

28 inches squared

Step-by-step explanation:

Area is base (b) times height (h)

A=bh

A= 3.5 x 8

A = 28

7 0

3 years ago

Read 2 more answers

Write a paragraph proof of the Triangle Angle Sum Theorem using the following figure. A line should pass through F as part of th

BabaBlast [244]

Answer:

Step-by-step explanation:

To prove the triangle angle sum theorem,

We will do a construction by drawing a line PQ passing through point F and parallel to line DE.

Statements Reasons

1). ∠PFD + ∠QFD = 180° 1). linear pair postulate

2). ∠QFD = ∠QFE + ∠EFD 2). Angle addition postulate

3). ∠PFD + ∠QFE + ∠EFD = 180° 3). Substitution property

4). ∠PFD ≅ ∠FDE 4). Alternate interior angles

∠QFE ≅ ∠DEF

5). ∠FDE + ∠DEF + ∠EFD = 180° 5). Substitution property

Hence sum of interior angles of ΔDEF is 180°.

4 0

3 years ago