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AleksAgata [21]
3 years ago
10

How many five-digit integers (integers from 10,000 through 99,999) are divisible by 5?

Mathematics
1 answer:
lukranit [14]3 years ago
7 0
Okay to solve this problem you would simply do this solution. It took me a minute, haven't had to do integers in a while. :D

From 10,000 to 99,999 the numbers divisible by 5 ends in 0 or 5.
The first (most significant) digit can be any of nine from 1 to 9.
The 2nd digit can be any of 10.
The 3rd digit can be any of 10.
The 4th digit can be any of 10.
The 5th digit can be either of 2.

<span>That's 9(10)(10)(10)2=18,000
</span>
I hope this helps. 
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4 0
3 years ago
Graph the image of this figure after a dilation with a scale factor of 1/2 centered at the point (−3, 0).
lyudmila [28]

The vertices of the image of dilation are (4, 2), (-1, 2) and (3, 4)

<h3>How to graph the dilated image?</h3>

The given parameters are:

Center, (a, b) = (-3, 0)

Scale factor, k = 1/2

The vertices of the figure are

(5,4), (-5, 4) and (3,8)

The rule of dilation is represented as:

(x, y) ⇒ (k(x -a), k(y -b))

So, we have:

Point (5,4)

(x, y) ⇒ (1/2(5 + 3), 1/2(4 -0))

(x, y) ⇒ (4, 2)

Point (-5,4)

(x, y) ⇒ (1/2(-5 + 3), 1/2(4 -0))

(x, y) ⇒ (-1, 2)

Point (3,8)

(x, y) ⇒ (1/2(3 + 3), 1/2(8 -0))

(x, y) ⇒ (3, 4)

So, the vertices of the image of dilation are (4, 2), (-1, 2) and (3, 4)

See attachment for the image

Read more about dilation at:

brainly.com/question/3457976

#SPJ1

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