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Hitman42 [59]
3 years ago
6

How many choices of 3 hamburger toppings are possible?

Mathematics
2 answers:
alukav5142 [94]3 years ago
7 0
There is 21 possible toppings for 3 hamburgers
Svetlanka [38]3 years ago
5 0
Take the number of toppings you were given, so let's say you were given 5 toppings. Then multiply 5 times 4 times 3 times 2 times 1 and that product would be the number of total choices. Even if it was 80 toppings just keep multiplying until you get to 1.
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It takes a train 60 seconds to completely drive through a bridge of 1260 m, and 90 seconds to completely drive through a tunnel
Olegator [25]

The length of train is 120 meters

The speed of train is 25 meter per second

<u><em>Solution:</em></u>

The speed is given by formula:

speed = \frac{distance}{time}

Given that,

It takes a train 60 seconds to completely drive through a bridge of 1260 m

And 90 seconds to completely drive through a tunnel of 2010 m

Let the length of the train be "x"

<em><u>The total distance travelled by the train across the bridge is given by:</u></em>

total distance = x + 1260 + x = 2x + 1260

[ here we use x + x to represent that train completely drives through bridge ]

The time taken is given as 60 seconds

<em><u>Therefore, the speed is given as:</u></em>

speed = \frac{2x+ 1260}{60}

<em><u>The total distance travelled by the train through the tunnel is given by:</u></em>

total distance = x + 2010 + x = 2x + 2010

The time taken is given as 90 seconds

<em><u>Therefore, the speed is given as:</u></em>

speed = \frac{2x+ 2010}{90}

The speed of the train was the same in both cases.

Equate both speeds

\frac{2x+ 1260}{60} = \frac{2x+ 2010}{90}

\frac{x+630}{30} = \frac{x+1005}{45}

45(x+630) = 30(x+1005)\\\\45x + 28350 = 30x + 30150\\\\45x - 30x = 30150 - 28350\\\\15x = 1800\\\\x = 120

Thus length of train is 120 meters

<em><u>Find the speed of train:</u></em>

speed = \frac{2x+ 1260}{60}\\\\speed = \frac{2(120) + 1260)}{60}\\\\speed = 25

Thus speed of train is 25 meter per second

5 0
3 years ago
1 tenth is how many times greater than 1 hundredth
Anna35 [415]

Answer:

10

Step-by-step explanation:

1 tenth: 1/10

1 hundredth: 1/100

1/10 = X × 1/100

X = 100/10

X = 10

7 0
3 years ago
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Jill earns a yearly salary of $40,000 plus
Rudik [331]

Answer:

Jill earned $22,500 more total income for the year.

Step-by-step explanation:

4 0
3 years ago
What is the area, height, and base of this triangle?
Minchanka [31]
This should be your answer

7 0
2 years ago
Olivia walks up to a tank of water that can hold up to 50 gallons. When it is active, a drain empties water form the tank at a c
agasfer [191]

Answer:

C

Step-by-step explanation:

I got the answer C because if the estimated value of the tank is 50 and it gets drained it will only have 18 gallon in it

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