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Reil [10]
3 years ago
5

Explain why 2n+1 must be an odd number

Mathematics
1 answer:
makvit [3.9K]3 years ago
6 0
Any integer number multiplied by 2 is even. So if you add 1 to an even number it becomes odd
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Peter is reading a 193-page book. he has read three pages more than one-fourth of the number of pages he hasn't yet read. how ma
exis [7]
Let's call <em />the number of pages we <em>have </em>read m. To find the number of pages we have <em>left</em> to read, we'll need to subtract the number of pages we've read from the total number of pages in the book. Our total page count is 193, and the number of pages we've read is the unknown m, so the number of pages we <em />haven't read can be written as 193-m. With that knowledge, let's construct the rest of our equation.

"He has read three pages more than one-fourth of the number of pages he hasn't yet read." The first key phrase here is "he has read." What this means is that the number of pages he's read, which we've named m, is equal to everything in the rest of the sentence. "Thee pages more than" means that we're going to be adding 3 to whatever the next quantity described is, which, in this case, is "one-fourth of the number of pages he hasn't yet read." We already established earlier that "the number of pages he hasn't yet read" is 193-m, so one-fourth of that would be \frac{1}{4} (193-m). Putting everything together, we get the following equation:

m= \frac{1}{4} (193-m)+3

To solve for m, we might first want to eliminate the fraction 1/4 by multiplying both sides of the equation by 4, obtaining

4m=193-m+12

Solving for m, we get:

4m=193+12-m\\5m=205\\m=41

Now that we have m, it's a simple matter to solve for 193-m:

193-41=152

So, he has not yet read 152 pages.
6 0
3 years ago
How do I simplify this 5a + 3b - 6a - b
BigorU [14]
Take the as together and take the bs together.

5a + 3b - 6a - b.
5a - 6a + 3b - b.  Then simplify.
-a + 2b.

That's it.
3 0
3 years ago
What is the answer to #30 and #31
svetoff [14.1K]

Answer:

30) A) 0 / 15 = 0

31)  A) 0/28 = 0

Step-by-step explanation:

30)

0 / 15 = 0

15/0 undefined

15 + 0 = 15

15 - 0 = 15

Answer:

0 / 15 = 0

31) Answer: A) 0/28 = 0

5 0
4 years ago
Lateral erea of cube​
jekas [21]

Answer:

4a2

Step-by-step explanation:

For a cube the lateral surface area would be the area of the four sides. If the edge of the cube has length a, the area of one square face Aface = a ⋅ a = a2. Thus the lateral surface of a cube will be the area of four faces: 4a2.

4 0
3 years ago
Read 2 more answers
1. John’s age is three times that of his sister. When you add John’s age to his sister's age, you get 36. How old are John and h
iren [92.7K]

Answer:

sister = 6 years

John=18 years

Step-by-step explanation:

A(S) + 12 = 3 * A(S), subtracting A(S) from both sides one gets 12 = 2 * A(S). Now dividing both sides by 2 we get A(S) = 12/2 = 6 . Therefore, the age of the sister is 6 years when her brother John is three times as old, that is 18 years.

6 0
3 years ago
Read 2 more answers
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