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2 years ago

7

A skateboarder rides by my office every 8 minutes, and a cyclist rides by every 10 minutes. How long will it take for the skateb

oarder and cyclist to ride by at the same time?

1 answer:

kiruha [24]2 years ago

5 0

Answer:

40 minutes

Step-by-step explanation:

10 times 4 = 40

8 times 5 = 40

so they will cross paths after 40 minutes of riding

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What is the area of a triangle with vertices (1,0) (5,0) (3,4)

Aleksandr-060686 [28]

Answer:

The area of the triangle is of 8 units of area.

Step-by-step explanation:

Answer:

The area of the triangle is of 21 units of area.

Step-by-step explanation:

The area of a triangle with three vertices $(x_1,y_1),(x_2,y_2),(x_3,y_3)$ is given by the determinant of the following matrix:

$A = \pm 0.5 \left|\begin{array}{ccc}x_1&y_1&1\\x_2&y_2&1\\1_3&y_3&1\end{array}\right|$

In this question:

Vertices (1,0) (5,0) (3,4). So

$A = \pm 0.5 \left|\begin{array}{ccc}1&0&1\\5&0&1\\3&4&1\end{array}\right|$

$A = \pm 0.5(1*0*1+0*1*3+1*5*4-1*0*3-0*5*1-1*1*4)$

$A = \pm 0.5*(20-4)$

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The area of the triangle is of 8 units of area.

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3 years ago

Wolverine makes a $1000 down payment for a motorcycle and then pays $300 per month. James Bond makes a $2500 down payment for a

Delicious77 [7]

Answer:

Both Wolverine and James Bond will have paid the same amount after 10 months.

Step-by-step explanation:

Let x denotes the number of months after which both Wolverine and James Bond will have paid the same amount.

As Wolverine makes a $1000 down payment for a motorcycle and then pays $300 per month,

Amount paid by Wolverine in x months is equal to $1000+300x$

As James Bond makes a $2500 down payment for a motorcycle and then pays $150 per month,

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To find number of months after which both Wolverine and James Bond will have paid the same amount,

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3 years ago

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2 years ago

Read 2 more answers

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daser333 [38]

Answer:

B. 1/2

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