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3 years ago

The length of a rectangle is twice its width. if the perimeter of the rectangle is 54 ft , find its length and width.

1 answer:

7 0

Let w be the width.

2(2w) + 2w = 54.

4w+2w = 54
6w=54.
w=9
So length equals twice that...I think you can solve that on your own. xD

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Mr. James McWhinney, president of Daniel-James Financial Services, believes there is a relationship between the number of client

vlada-n [284]

Answer:

$\sum_{i=1}^n x_i = 334$

$\sum_{i=1}^n y_i =611$

$\sum_{i=1}^n x^2_i =13970$

$\sum_{i=1}^n y^2_i =51581$

$\sum_{i=1}^n x_i y_i =26584$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=13970-\frac{334^2}{10}=2814.4$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}=26584-\frac{334*611}{10}=6176.6$

And the slope would be:

$m=\frac{6176.6}{2814.4}=2.195$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{334}{10}=33.4$

$\bar y= \frac{\sum y_i}{n}=\frac{611}{10}=61.1$

And we can find the intercept using this:

$b=\bar y -m \bar x=61.1-(2.195*33.4)=-12.213$

So the line would be given by:

$y=2.195 x -12.213$

Step-by-step explanation:

The data given on this case is:

x: 14,12,20,16,46,23,48,50,55,50

y: 24,24,28,30,80,30,90,85,120,110

For this case we need to calculate the slope with the following formula:

$m=\frac{S_{xy}}{S_{xx}}$

Where:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

So we can find the sums like this:

$\sum_{i=1}^n x_i = 334$

$\sum_{i=1}^n y_i =611$

$\sum_{i=1}^n x^2_i =13970$

$\sum_{i=1}^n y^2_i =51581$

$\sum_{i=1}^n x_i y_i =26584$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=13970-\frac{334^2}{10}=2814.4$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}=26584-\frac{334*611}{10}=6176.6$

And the slope would be:

$m=\frac{6176.6}{2814.4}=2.195$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{334}{10}=33.4$

$\bar y= \frac{\sum y_i}{n}=\frac{611}{10}=61.1$

And we can find the intercept using this:

$b=\bar y -m \bar x=61.1-(2.195*33.4)=-12.213$

So the line would be given by:

$y=2.195 x -12.213$

5 0

3 years ago

HELP ASAP! Write an equation where the solution is b= -6. Include like terms and fractions! Thanks in advance

ryzh [129]

First, I'd like to state there are many possibilties to for this solution.

Okay, 9/3 + 3 = -1b

Lets check.
PEMDAS!
9/3 is = 3

So:
3 + 3 = -1b

Then combine like terms:
6 = -1b

Following PEMDAS, divide -1 on both sides so..
-6 = b or b = -6

So, 9/3 + 3 = -1b works!!!

3 0

3 years ago

My textbook doesn't explain square roots well. Can someone help me understand? Example 1 is the square root of 9

Vilka [71]

A square root is doing the opposite of squaring. Squaring is multiplying a number by itself. Square rooting is trying to figure out what number squares into the number you have currently.
For your Example 1, the square root of 9 is 3.
3 x 3 = 9.
Some better examples are:
4 x 4 = 16.
4 is the square root of 16, and 16 is the square of 4.

7 0

3 years ago

Y= 3x + 1

Sonbull [250]

Answer: The correct option is option 6, (-4,-11).

Step-by-step explanation: You subsitute 2x-3 for y.

2x-3=3x+1

-x=4

x=-4

Plug in -4 for x in an equation.

y = -8 - 3

y = -11

(-4,-11)

3 0

3 years ago

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A local restaurant advertises that the mode cost of their most popular meals is $8. If the costs of their most popular meals are

hodyreva [135]

Answer: This kind of advertising is accurate.

Step-by-step explanation:

Since we have given that

Cost of their most popular meals are as follows:

$\$7,\$8,\$8,\$12,\$13,\$15,\$17,\$18,\ and\ \$20$

As we have given that the mode cost of their most popular meals is $8.

As we know that "Mode" refers to the most occurring number that we can found in the data.

Here, we can see that $8 occurs 2 times , which is the most occurring cost among them.

Hence, Mode = $8.

So, This kind of advertising is accurate.

8 0

3 years ago

Read 2 more answers