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Studentka2010 [4]
3 years ago
9

The difference of the squares of two consecutive even integers is 68. What are these numbers?

Mathematics
2 answers:
NARA [144]3 years ago
8 0

Answer:

16 and 18

Step-by-step explanation:

(n + 2)² - n² = 68

Expand

(n² + 4n + 4) - n² = 68

4n + 4 = 68

Subtract 4 from both sides

4n = 64

Divide both sides by 4

n = 16

n + 2 = 18

valentinak56 [21]3 years ago
4 0

Answer:

x = 5

Step-by-step explanation:

(2x+2)² - (2x)² = 44

4x^2 + 8x + 4 -  4x^2 = 44

8x + 4 = 44

8x = 44 - 4

8x = 40

x = 40/8

x = 5

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Is " what is the typical amount of rainfall in Canada " a statistical question?​
AysviL [449]

Answer:

Yes

Step-by-step explanation:

Yes, the question asks for an average not the rainfall on one specific day, therefore it is a statistical question.

(accidentally answered as a comment)

5 0
3 years ago
(4 ten thousands 8hundreds) divided by 10
mihalych1998 [28]

Answer:

480

Step-by-step explanation:

3 0
2 years ago
The length of a rectangle is 2 feet longer than its width the perimeter is 16 feet. find the dimensions of the rectangle.
sergiy2304 [10]

So you would have to set up a equation to find the length and width. The equation would be w+(w+2)=16

that simplifies to 2w+2=16

2w=14

w=7

the width is 7

the length is 9

4 0
3 years ago
The heights of the children at a summer camp are normally distributed with a mean of 54 in. and a standard deviation of 2.4 in.
Andreyy89
The z-score is a measure of how many standard deviations the value is from the mean. A z-score of 1.5 means that the value is 1.5 standard deviations above the mean. 

<span>1.5 x 2.4 = 3.6 </span>
<span>54 + 3.6 = 57.6 </span>

<span>Answer: </span>
<span>57.6 in </span>

<span>The formula is: </span>
<span>x = zσ + μ </span>

<span>z : z-score (1.5) </span>
<span>σ : standard deviation (2.4) </span>
<span>μ : mean (54) </span>

<span>Answer: </span>
<span>x = 57.6</span>
6 0
3 years ago
Hattie had $6600 to invest and wants to earn 4% interest per year. She will put some of the money into an
34kurt

Answer:

The amount of money that should be invested at the rate of 12% is $900 and the amount of money that should be invested at the rate of 10% is $2,100

Step-by-step explanation:

Let

x ------> the amount of money that should be invested at the rate of 12%

3,000-x -----> the amount money that should be invested at the rate of 10%

we know that

The sum of the interest on each of the accounts must be equal to the total interest.

Solve for x

therefore

The amount of money that should be invested at the rate of 12% is $900 and the amount of money that should be invested at the rate of 10% is $2,100

Hope this helps you!!!! :D

6 0
2 years ago
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