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xenn [34]
3 years ago
13

The Wheel Shop sells other kinds of vehicles. There are bicycles and go-carts in a different room of the shop. Each bicycle has

only one seat and each go-cart has only one seat. There are a total of 21 seats and 54 wheels in that room. How many are bicycles and how many are go-carts? Explain how you figured it out.
Mathematics
1 answer:
const2013 [10]3 years ago
5 0

Answer:

15 bicycle and 6 go-cart.

Step-by-step explanation:

Given that,  

There are a total of 21 seat and 54 wheels in the room.  

Assume there are x number of bicycle.  

Since, each bicycle has only one seat and each go-cart has only one seat.  

Then, the number of go-cart is (21-x)

There are two wheels in a bicycle.

Total number of wheel in x number of bicycle is = (2.x)=2x  

There are four wheels in a go-cart.  

Total number of wheel in (21-x) number of go-cart =4(21-x)  

According to the problem,  

2x+4(21-x)=54  

⇒2x+84-4x=54  

⇒2x-4x=54-84  

⇒ -2x=  -30  

\Rightarrow x=\frac{-30}{-2}

⇒x = 15  

Hence, there are 15 bicycle and (21- 15)=6 go-cart

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Step-by-step explanation:

The bag has:

5 red marbles

8 blue marbles

4 yellow marbles

3 green marbles

A total of 5 + 8 + 4 + 3 = 20

You want to draw a red marble and then a blue marble.

The probability of drawing a red marble in your first attempt is the number of red marbles divided the total number of marbles:

P1 = 5/20  

now you want to draw a blue marble.

If you replace the red marble, you have 20 marbles again in the bag, then the probability of drawing a blue marble is:

P2 = 8/20

The joint probability is P = P1*P2 = (5/20)*(8/20) = 0.1

If you do not replace the red marble, you have 19 total marbles in the bag, then the probability of taking a blue marble is:

P2 = 8/19

The joint probability is:

P = P1*P2 = (5/20)*(8/19) = 0.105

The probability is slightly bigger if you do not replace the red marble.

7 0
4 years ago
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What is the lowest common multiple (LCM) of 8, 2 and 5?
aivan3 [116]

Answer:

40

Step-by-step explanation:

Using the method of prime factors

8 = 2 × 2 × 2 = 2³

2 = 2

5 = 5

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8 0
3 years ago
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insens350 [35]

Answer:

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7 0
3 years ago
Order Of operation.
Nikolay [14]

Answer

18(2)+12(2)-4(5)

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40

Step-by-step explanation:

since they had two-18 yard passes and two 12 yard runs, that's the first part of the expression, and then they had four penalties that cost them 5 yards, and that was the last term. When you simplify, you end up with 40 yards gained.

In math

Passes: 18(2)

Runs: 12(2)

Penalties:4(5)

equation

18(2)*12(2)-4(5)

Hope it helped

7 0
3 years ago
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dolphi86 [110]
The answer would be the first one.

I find it easier to expand the equation (you still get the same answer).

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Hope this helps!
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3 years ago
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