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3 years ago

The length of a rectangle is 4 less than 2 times the width. The perimeter is 40 units.

Mathematics

1 answer:

bezimeni [28]3 years ago

8 0

Answer:

Let l be length and w be width.

First equation:

l = 2w-4

Second equation:

perimeter = 40 units

Perimeter of a rectangle: 2(l+w)

2(2w-4+w)=40

2(3w-4)=40

6w-8=40

6w=40+8

6w=48

w=48/6

w=8

Therefore the width=8;

length= 2w-4 = 2(8)-4 = 16-4 = 12

perimeter = 40 units

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B) Yes, because the slope is $-\frac{25}{3}$ and the zero is (12, 0)

Step-by-step explanation:

From inspection of the graph:

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

viva [34]

Answer:

990 ways

Step-by-step explanation:

The total number of automobiles we have is 11.

Now, what this means is that for the first position , we shall be selecting 1 out of 11 automobiles, this can be done in 11 ways( 11C1 = 11!/(11-1)!1! = 11!/10!1! = 11 ways)

For the second position, since we have the first position already, the number of ways we can select the second position is selecting 1 out of available 10 and that can be done in 10 ways(10C1 ways = 10!9!1! = 10 ways)

For the third position, we have 9 automobiles and we want to select 1, this can be done in 9 ways(9C1 ways = 9!/8!1! = 9 ways)

Thus, the total number of ways the first three finishers come in = 11 * 10 * 9 = 990 ways

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