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Alona [7]
3 years ago
5

In a race in which 10 automobiles are answered and there are no ties, in how many ways can the first three finishers come in ?

Mathematics
1 answer:
Ludmilka [50]3 years ago
3 0
Okay... so we have three places the automobiles can come in.

_ _ _

Now, how many automobiles have a chance of being in first place?

10.

Now, how many automobiles have a chance of being in second place now that the first place slot is taken?

9.

Now, how many automobiles have a chance of being in third place if the first and second place slots are taken by one automobile?

8.

Now multiply the numbers together to find the number of situations.

10 x 9 x 8 = 720.
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A train travels 25 miles in 20 minutes. What is the train speed in miles per hour?
kenny6666 [7]
60 min = 1 hour

1st we need to know how many times 20 goes in 60 so we will divide.

60 ÷ 20 = 3

Now we will multiply to find the trains speed in miles per hour. 

3 × 25 = 75

SO, the train travels 75 miles per hour. 

Hope I helped ya!! 
4 0
3 years ago
Janie is analyzing a quadratic function f(x) and a linear function g(x). Will they intersect?
UkoKoshka [18]

Answer:

Option (D) is correct.

No, They will not intersect.

Step-by-step explanation:

Given Points for g(x), (1,2) , (2,4) and (3,6)

Since g is a linear function then it must be in form of  g(x) = mx +c where, c is constant and m is slope.

We first calculate the slope using,

m=\frac{y_2-y_1}{x_2-x_1}

Here, consider x_1=1 , x_2=2 , y_1=2, y_2=4

Substitute above, we get slope as,

m=\frac{4-2}{2-1}=2

Thus, equation becomes g(x) = 2x + c  ...(1)

For c plug the values  in (1),

(1,2) ⇒ 2= 2 + c ⇒  c = 0

Thus, Equation of G(x) is 2x.

When we plot it it do not intersect f(x).

Thus, Option (D) is correct.

No, They will not intersect.




3 0
3 years ago
Read 2 more answers
Find the volume of the composite solid. Round your answer to the nearest tenth.
elixir [45]

Answer:

Nasaan ang boung question

Ay

Step-by-step explanation:

Is 2,4,6,7,9,10

Yan ang nearest tenth

Pinag aralan namin Yan

I hope I help you

4 0
3 years ago
X+3y=5<br> -2x-6y=-10<br><br> Solve using elimination
RSB [31]
Slimination
multiply first equaiton by 2
2x+6y=10
add to second equiaotn
2x-2x+6y-6y=10-10
0=0
this is true so therfor they are the same equaiton

so solve
x+3y=5
3y=-x+5
y=-1/3x+5/3

subsituter values for x and get valuse for y

if x=2 then y=1
3 0
3 years ago
Two trains leave two different stations 300 km apart; the first starts at noon and the second at 12 15 h. Travelling on parallel
alexgriva [62]

Answer:

See below

Step-by-step explanation:

From noon to 1500  is three hours

  train A    then travels  <u> 3x</u>   where x = speed in km/hr

  train B   only travels for 2.45 hours and covers

                  <u>   2.45 ( x + 15)  </u>        where x + 15 is its speed in km/hr

       these two values sum to the 300 km distance

3x     +     2.45 ( x + 15) = 300

3x + 2.45 x  + 36.75 = 300

x = 48.3 km/hr       x+15= 63.3 km / hr

8 0
2 years ago
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