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ivanzaharov [21]
3 years ago
9

40. Mike has two electric train sets: A and B. Each train is on its own circular track.

Mathematics
1 answer:
JulsSmile [24]3 years ago
5 0
"He starts both trains at the same time. Train A returns to its starting point every 12 seconds and Train B returns to its starting point every 9 seconds". Basically, what you need to do is find the least common multiple. The least common multiple of 12 and 9 is 36, so the least amount of time, in seconds, that both trains will arrive at the starting points at the same time is 36 seconds.
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Malik buys and sells car parts. He bought two tires for $45.00 each and later sold them for $65.00 each. He bought three rims fo
Alona [7]
The answer is $213 because you subtract the price sold by the price he bought them for and then you add them together (see work)

6 0
2 years ago
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Question 2 In the fall, a community service club sold 10 shirts and 20 hats for a total of $490. In the spring, the club sold 20
Stells [14]
To answer the question above, we let s be the cost of a shirt and h be the cost of each hat such that the equations that would best represent the given are:
                                        10s + 20h = 490
                                         20s + 30h = 860
The system of equations is the answer to the first question and the values of s and h are $25 and $12, respectively. 
8 0
3 years ago
A dog trainer has 104 ft of fencing that will be used to create a rectangular work area for dogs. If the trainer wants to enclos
vova2212 [387]

Answer:

  36 ft by 16 ft

Step-by-step explanation:

To solve this problem, you need to find dimensions of a rectangle such that the perimeter is 104 ft and the area is 576 ft. The perimeter is twice the sum of length and width, so the sum of length and width is 52 ft.

The area is the product of length and width, so if w represents the width, we have ...

  w(52 -w) = 576

  w² -52w = -576 . . . . . eliminate parentheses, multiply by -1

  w² -52w +26² = 26² -576 . . . . . .  complete the square

  (w -26)² = 676 -576 = 100

  w = 26 ±√100 =  {16, 36}

If the width is the short dimension, it is 16 feet. Then the length is 36 feet.

5 0
2 years ago
F(x) = 3x2 + 6x – 18<br> Find f(10)
ozzi

Answer:

=

(

x

2

+

6

)

(

x

+

3

)

Step-by-step explanation:

[Grouping the first 2 terms together and the 2md 2 terms together.]

x

3

+

3

x

2

+

6

x

+

18

=

(

x

3

+

3

x

2

)

+

(

6

x

+

18

)

[Common factor]

=

x

2

(

x

+

3

)

+

6

(

x

+

3

)

{Taking the common bracket]

=

(

x

2

+

6

)

(

x

+

3

)

~Hope this helps! :)

5 0
3 years ago
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What integers are plotted on the number line below?
Nonamiya [84]

The correct answer would be D because if there are points at -8 and -2, those are the numbers that are plotted.

4 0
3 years ago
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