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liraira [26]
2 years ago
12

When a train ride is nonstop, the time of the ride is reduced by 1/3. With stops, the time is 18 hours. How long is the nonstop

ride?
Mathematics
1 answer:
galina1969 [7]2 years ago
7 0

Answer:

  Nonstop ride is 12 hours long.

Explanation:

 With stopping time taken by train = 18 hours.

 Without stopping time is reduced by 1/3.

 Time for non stop ride = Time for stopping ride -  (Time for stopping ride/3)

                                        = 2 x Time for stopping ride/3

                                        = 2 x 18 /3 = 12 hours.

 So, nonstop ride is 12 hours long.

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Which statement is an example of the symmetric property of congruence?
olchik [2.2K]

The symmetric property of congruence states that if a quantity, say, A is congruent to a quantity, say B, then, the quantity B is congruent to the quantity A.

Mathematically, this statement of the symmetric property of congruence can be written as:

If A\cong B, then B\cong A.

Applying this symmetric property of congruence to the question that we are given, we see that only Option D fulfills the conditions of the definition of the property of congruence as Option D clearly states that:

If \Delta EFG\cong \Delta HJK, then \Delta HJK\cong \Delta EFG which is the exact statement of the symmetric property of congruence when applied to triangles.

Thus, Option D is the correct option.

3 0
2 years ago
Read 2 more answers
Two movie tickets and 3 snacks are $24. Three movies tickets and 4 snacks are $35. How much is a movie ticket and how much is a
Vsevolod [243]

Answer: A movie ticket is $9 while a snack is $2

Step-by-step explanation: We shall let a movie ticket be m while a snack is s. So, from the clues given, if two movie tickets and three snacks cost $24, we can write it as the following expression;

2m + 3s = 24

Also if three movie tickets and four snacks cost $35, we can as well write another expression as follows;

3m + 4s = 35.

Now we have a pair of simultaneous equations which are

2m + 3s = 24 ----------(1)

3m + 4s = 35 ----------(2)

We shall solve this by using the elimination method, since none of the variables has a coefficient of 1. We'll start by multiplying equation (1) by 3 and multiplying equation (2) by 2 (so as to eliminate the m variable)

2m + 3s = 24 -------- x3

3m + 4s = 35 ---------x2

We now arrive at the following

6m + 9s = 72--------(3)

6m + 8s = 70--------(4)

Subtract equation (4) from equation (3) and we arrive at

s = 2

Having determined that s equals 2 we can now substitute for the value of a into equation (1)

2m + 3s = 24

2m + 3(2) = 24

2m + 6 = 24

Subtract 6 from both sides of the equation

2m + 6 - 6 = 24 - 6

2m = 18

Divide both sides of the equation by 2

m= 9

Therefore one movie ticket costs $9 while one snack costs $2

6 0
2 years ago
Jenny is taking a vacation to Florida. She travels 70 kilometers per hour for 2 hours, and 63 kilometers per hour for 5 hours. O
Helga [31]
Jenny traveled 70 km/h over 2 hours and 63 km/h over 5 hours. Her travel time was a total of 7 hours. 

We need to find out how far she traveled during this 7-hour period.

70 km/h * 2 h = 140 km 
63 km/h * 5 h = 315 km

Then, we can add 140 km and 315 km to get a total distance traveled of <em>455 km/h.</em>

We were asked to find the average <em>speed.</em> We can find it now, since we have total distance traveled (455 km) and total time taken (7 hours).

Then, 
455km / 7h = 65 km/h.
6 0
2 years ago
Drag each tile to the correct box. Not all tiles will be used.
Zina [86]

Answer:

$1,100 at 3.2% for 3 years -> $105.60

$990 at 3.15% for 4 years  -> $124.74

$1,025 at 2.8% for 5 years​ -> $143.5

Step-by-step explanation:

Simple interest formula is:

A = P*(1 + r*t)

where A if final account, P is principal, r is annual interest rate (as decimal) and t is time in years

Interest earned is A - P, then:

I = P*(1 + r*t) - P = P(1 + r*t - 1) = P*r*t

If P = $1100, r = 0.032 and t = 3, then:

I = 1100*0.032*3 = $105.6

If P = $990, r = 0.0315 and t = 4, then:

I = 990*0.0315*4 = $124.74

If P = $1025, r = 0.028 and t = 5, then:

I = 1025*0.028*5 = $143.5

5 0
2 years ago
Bob has 40 cents in his pocket. If Bob has no pennies, how many different combinations of quarters, dimes, and/or nickles does h
Anton [14]

Answer:

He could have 4 dimes, or 8 nickles, or 1 quater and 3 nickels, or 1 quater with one dime and 1 nickel, or 3 dimes and 2 nickles, or 1 quater with obe nickel and one dime.

Step-by-step explanation:

hope this helps.

3 0
2 years ago
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