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klio [65]
3 years ago
12

3. Identify all the sets to which the number

Mathematics
1 answer:
Schach [20]3 years ago
6 0

Answer:

149 is a whole number, natural number, and integer

Step-by-step explanation:

whole number: a number with no fractional or decimal part. cannot be negative

natural number: whole numbers from 1 and up

integers: all whole numbers and their negative conterpoints.

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Solve for a: 5(a+5)-3=3(2-a)
ivann1987 [24]

Simplify:

5(a + 5) + -3 = 3(2 + -1a)

Reorder the terms:

5(5 + a) + -3 = 3(2 + -1a)

(5 * 5 + a * 5) + -3 = 3(2 + -1a)

(25 + 5a) + -3 = 3(2 + -1a)

Reorder the terms again:

25 + -3 + 5a = 3(2 + -1a)

Combine like terms:

]25 + -3 = 22

22 + 5a = 3(2 + -1a)

22 + 5a = (2 * 3 + -1a * 3)

22 + 5a = (6 + -3a)

Solve:

22 + 5a = 6 + -3a

To solve for variable 'a':

You have to move all terms containing A to the left, all other terms to the right.

Then add '3a' to each side of the equation:

22 + 5a + 3a = 6 + -3a + 3a

Combine like terms:

5a + 3a = 8a

22 + 8a = 6 + -3a + 3a

Combine like terms again:

-3a + 3a = 0

22 + 8a = 6 + 0

22 + 8a = 6

Add '-22' to each side of the equation.:

22 + -22 + 8a = 6 + -22

Combine like terms:

22 + -22 = 0

0 + 8a = 6 + -22

8a = 6 + -22

Combine like terms once more:

6 + -22 = -16

8a = -16

Divide each side by '8'.

a = -2

Simplify:

a = -2

Answer: a=-2

Hope I could help! :)

8 0
3 years ago
Read 2 more answers
The state of Maine encourages recycling
dolphi86 [110]
Yes it does. idk to be honest
8 0
3 years ago
Graph the polygon and its image after a dilation centered at C(1,1)
Grace [21]

Now we proceed to present the graphs of the polygon and its image with the help of a graphing tool. The <em>original</em> polygon is highlighted in <em>red</em> and the image is highlighted in <em>blue</em>.

DIlations are defined by the follwing operation:

P'(x,y) = O(x,y) + k\cdot [P(x,y)-O(x,y)] (1)

Where:

  • O(x,y) - Center of dilation.
  • k - Dilation factor.
  • P(x,y) - Original point of the polygon.
  • P'(x,y) - Dilated point of the polygon.

If we know that O(x,y) = (1,1), k = 0.5, J(x,y) = (3,1), K(x,y) = (5, -3), L(x,y) = (5,5) and M(x,y) = (3,7), then the coordinates of the new polygon are:

J'(x,y) = (1,1) + 0.5\cdot [(3,1)-(1,1)]

J'(x,y) = (1,1)+0.5\cdot (2,0)

J'(x,y) = (1,1) +(1,0)

J'(x,y) = (2,1)

K'(x,y) = (1,1) + 0.5\cdot [(5,-3)-(1,1)]

K'(x,y) = (1,1) +0.5\cdot (4,-4)

K'(x,y) = (1,1) +(2,-2)

K'(x,y) = (3,-1)

L'(x,y) = (1,1) + 0.5\cdot [(5,5)-(1,1)]

L'(x,y) = (1,1) + 0.5\cdot (4,4)

L'(x,y) = (1,1) + (2,2)

L'(x,y) = (3,3)

M'(x,y) = (1,1) + 0.5\cdot [(3,7)-(1,1)]

M'(x,y) = (1,1) +0.5\cdot (2,6)

M'(x,y) = (1,1) +(1,3)

M'(x,y) = (2,4)

Now we proceed to present the graphs of the polygon and its image with the help of a graphing tool. The <em>original</em> polygon is highlighted in <em>red</em> and the image is highlighted in <em>blue</em>.

We kindly invite to check this question on dilations: brainly.com/question/13176891

6 0
3 years ago
let m represent the number of children playing soccer. those children are separated into four equal groups. write an expression
Mkey [24]

Answer:

m/4

Step-by-step explanation:

m is how many children are playing.

They are separated into 4 groups. Making it m(how many people are playing), out of 4.

For example, if m=12, then it would be 12/4, so 3 children will be in each group.

Hope this helps, you can change this to you own desire.

4 0
3 years ago
What is the unite rate?
bazaltina [42]

Answer:

A unit rate is a rate where the second quantity is one unit , such as $34 per pound, 25 miles per hour, 15 Indian Rupees per Brazilian Real, etc. 1 minute=60 seconds1 hour=60 minutes (or) 3600 seconds1 day=24 hours (or) 1440 minutes.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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