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jonny [76]
2 years ago
11

Prove that the square of an odd number is always 1 more than a multiple of 4

Mathematics
1 answer:
loris [4]2 years ago
5 0

Answer:

By these examples you are able to see that the square of an odd number is always 1 more than a multiple of 4.

Step-by-step explanation:

For examples,

Let's consider squares of 3, 11, 25, 37 and 131.

{3}^{2}  = 9

8 is a multiple of 4, and 9 is more than 8.

{11}^{2}  = 121

120 is a multiple of 4 and 121 is one more than it.

{25}^{2}  = 625

624 is a multiple of 4 and 625 is one more than it.

{37}^{2}  = 1369

1368 is a multiple of 4 and 1369 is one more than 1368.

{131}^{2}  = 17161

17160 is a multiple of 4.

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7x + y = 13<br> 4x – 4y = -20
aalyn [17]

Answer: (x,y) = (1,6)

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
A soccer player ran 180.48 miles in 70.5 days to stay fit. How many miles will he run in 9 days
cluponka [151]

Answer:

23.04 miles

Step-by-step explanation:


4 0
3 years ago
If BE is parallel to CD, the. The value of x is: <br><br> A. 10<br><br> B. 6<br><br> C. 9
sveta [45]
Corresponding sides have the same ratio, so
  x/15 = 12/(12+8) = 3/5
  x = 15*3/5
  x = 9
4 0
2 years ago
Lily, Louis, and Ben went to an arcade and won tokens for prizes. Louis won 4.5 times as many tokens as Ben. Lily won 8 more tok
lana66690 [7]

<em><u>The expression that describes the number of tickets won by Lily is:</u></em>

a = 8 + 4.5c where "a" is the number of tokens won by Lily and "c" is the number of tokens won by Ben

<em><u>Solution:</u></em>

Given that Lily, Louis, and Ben went to an arcade and won tokens for prizes

Let "a" be the number of tokens won by Lily

Let "b" be the number of tokens won by Louis

Let "c" be the number of tokens won by Ben

<em><u>Given that Louis won 4.5 times as many tokens as Ben</u></em>

So we can frame a equation as:

number of tokens won by Louis =  4.5 times as many tokens as Ben

number of tokens won by Louis  = 4.5 x number of tokens won by Ben

b = 4.5 \times c

b = 4.5c

<em><u>Given that Lily won 8 more tokens than Louis</u></em>

number of tokens won by Lily = 8 + number of tokens won by Louis

a = 8 + b

Substituting the value of b = 4.5c in above expression

a = 8 + 4.5c

Thus the expression that describes how many tokens Lily won is found

7 0
3 years ago
Lashonda is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices.C
musickatia [10]
Answer:
30 < m
The solution would be (30, ∞)

Explanation:
For company A:
The charge is: $96 for any number of mileage ..............> I
For company B:
The charge is $75 fixed and 0.7 for each mileage m. This means that the charge is: 75 + 0.7m .................> II

We want the charge of company A to be less than the charge of company B. This means that we want I to be less than II.
Therefore,
96 < 75 + 0.7m
96 - 75 < 0.7m
21 < 0.7m
21/0.7 < m
30 < m

This means that for any mileage greater than 30, the charge of company A will be less than the charge of company B

Hope this helps :)

3 0
3 years ago
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