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3 years ago

The sum of the square of two consecutive intergers is 41

2 answers:

7 0

We are looking for two consecutive integers whose squares sum up to 41. A consecutive integer means that one integer comes directly after the other, or is just added to 1. Since 16+25=41 , our two numbers must be 4 and 5.

Ratling [72]3 years ago

6 0

n^2 + (n+1)^2 = 41

n^2 + n^2 + 2n + 1 = 41

2n^2 + 2n -40 = 0

n = 4 and n=-5

4^2 + 5^2 = 41 correct

************************************************

-5^2 + -4^2 = 41 correct

So, the integers are 4 and 5 AND -4 and -5

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Marlon is bowling in a tournament and has the highest average after 5 games, with scores of 210, 225, 254, 231, and 280. In orde

yawa3891 [41]

Answer:

By scoring 240 in the sixth game, Marlon can maintain this exact average

Step-by-step explanation:

The first thing to do here is to calculate the average for the first 5 games.

Mathematically, the average can be calculated by adding all the scores in the games and dividing by 5;

= (210 + 225 + 254 + 231 + 280)/5 = 1200/5 = 240

Now to maintain this average score of 240, we want to know the score she must have in the 6th game.

Let the score be x;

By adding x to the previous total of 1200 before and dividing by the new count of 6, we can work our way to get x.

Mathematically, what we are saying is;

(1200 + x)/6 = 240

6 * 240 = 1200 + x

1440 = 1200 + x

x = 1440 -1200

x = 240

3 0

4 years ago

You have been tasked with filling 4 ounce and 3 ounce bags from a 41 ounce container of candy.

Alchen [17]

Answer:

A. 3 possible combinations

B. 8 4-ounce's bags and 3 3-ounce's bags

C. 2 4-ounce's bags and 11 3-ounce's bags

D. 8 4-ounce's bags and 3 3-ounce's bags

E. All solutions offer the same revenue.

Step-by-step explanation:

You have been tasked with filling 4 ounce and 3 ounce bags from a 41 ounce container of candy. Let x be the number of 4 ounce bags and y be the number of 3 ounce bags. Then

$4x+3y=41.$

A. Find all integer solutions:

When x=0, then 3y=41 - impossible, because 41 is not divisible by 3.

When x=1, then 3y=37 - impossible, because 37 is not divisible by 3.

When x=2, then 3y=33, y=11 - possible.

When x=3, then 3y=29 - impossible, because 29 is not divisible by 3.

When x=4, then 3y=25 - impossible, because 25 is not divisible by 3.

When x=5, then 3y=21, y=7 - possible.

When x=6, then 3y=17 - impossible, because 17 is not divisible by 3.

When x=7, then 3y=13 - impossible, because 13 is not divisible by 3.

When x=8, then 3y=9, y=3 - possible.

When x=9, then 3y=5 - impossible, because 5 is not divisible by 3.

When x=10, then 3y=1 - impossible, because 1 is not divisible by 3.

You get 3 possible combinations.

B. 1. 2 + 11 = 13,

2. 5 + 7 = 12,

3. 8 + 3 = 11.

The minimal number of bags is 11.

C. 1. 2·7+11·5=69 cents

2. 5·7+7·5=70 cents

3. 8·7+3·5=71 cents

The cheapest is 1st solution.

D. 1. 2·6+11·5=67 cents

2. 5·6+7·5=65 cents

3. 8·6+3·5=63 cents

The cheapest is 3rd solution.

E. 1. 2·2+11·1.50=$20.50

2. 5·2+7·1.50=$20.50

3. 8·2+3·1.50=$20.50

All solutions offer the same revenue.

5 0

3 years ago

Divide 33photos into two gruops so the ratio is 4to 7

sergeinik [125]

4X + 7X = 33
11X = 33
X =3

So, 4*3 = 12, and 7*3= 21

7 0

4 years ago

The temperature at 6:00am was -12f. Throughout the day the temperature rose 38 degrees. What was the temperature at the end of t

coldgirl [10]

Well if it rose 38 degrees all we need to do is 38-12 (because it was -12) and the answer to that is 26.

Te temperature at the end of the day was 26°

4 0

4 years ago

Check all that apply

katrin2010 [14]

Answer:clothing purchase apartment rent and a loan payment

Step-by-step explanation:

6 0

3 years ago