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3 years ago

The perimeter of a rectangle is 96 ft. The ratio of the length to the width is 7:5. what are the dimensions of therectangle?

Mathematics

1 answer:

san4es73 [151]3 years ago

8 0

Perimeter = 2(l + w) = 2(7x + 5x) = 2(12x) = 24x = 96
x = 96/24 = 4.
Therefore, length = 7 x 4 = 28 ft and width = 5 x 4 = 20ft

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Area of triangle with following verticies (0,-9), (3,-9), and (0,-2)

Neporo4naja [7]

Answer:

Area = 21/2 = 10.5 area units

Step-by-step explanation:

Two of the points are on the same line (the y-axis) as they both have x-coordinates of 0. This can thus be the base of your triangle.

Two more are on the same line (y= -9) as they both have the same y-coordinate of -9. This can be the height of your triangle.

So you have a base which is between -2 and -9 (7 units) and a height which is between 0 and 3 (3 units) so now just use the equation for area of a triangle $A=0.5*b*h$

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3 years ago

Read 2 more answers

Martha Jones received a $540 discount loan to purchase a new sewing machine. The loan was offered at 12.5% for 90 days. Find the

Ede4ka [16]

16.88

523.12

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3 years ago

Mrs Lim bought a number of plates at an average price of $6. She decided to buy another plate which cost $18. The average price

soldi70 [24.7K]

Answer: 6

<u>Step-by-step explanation:</u>

Let x represent the number of plates bought for $6

Let y represent the Total number of plates bought = x + 1

<em>Remember that Mrs. Lim bought another plate for $18</em>

Total cost ÷ Total plates = Average Cost

$\dfrac{6x+18}{x+1}=8\\$

6x + 18 = 8(x + 1)

6x + 18 = 8x + 8

18 = 2x + 8

10 = 2x

5 = x

y = x + 1

= 5 + 1

= 6

5 0

3 years ago

The data below are the ages and systolic blood pressures (measured in millimeters of mercury) of 9 randomly selected adults. Wha

seraphim [82]

Answer:

$\sum_{i=1}^n x_i =459$

$\sum_{i=1}^n y_i =1227$

$\sum_{i=1}^n x^2_i =24059$

$\sum_{i=1}^n y^2_i =168843$

$\sum_{i=1}^n x_i y_i =63544$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=24059-\frac{459^2}{9}=650$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}=63544-\frac{459*1227}{9}=967$

And the slope would be:

$m=\frac{967}{650}=1.488$

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

$\bar x= \frac{\sum x_i}{n}=\frac{459}{9}=51$

$\bar y= \frac{\sum y_i}{n}=\frac{1227}{9}=136.33$

And we can find the intercept using this:

$b=\bar y -m \bar x=136.33-(1.488*51)=60.442$

So the line would be given by:

$y=1.488 x +60.442$

And then the best predicted value of y for x = 41 is:

$y=1.488*41 +60.442 =121.45$

Step-by-step explanation:

For this case we assume the following dataset given:

x: 38,41,45,48,51,53,57,61,65

y: 116,120,123,131,142,145,148,150,152

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:

$\sum_{i=1}^n x_i =459$

$\sum_{i=1}^n y_i =1227$

$\sum_{i=1}^n x^2_i =24059$

$\sum_{i=1}^n y^2_i =168843$

$\sum_{i=1}^n x_i y_i =63544$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=24059-\frac{459^2}{9}=650$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}=63544-\frac{459*1227}{9}=967$

And the slope would be:

$m=\frac{967}{650}=1.488$

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

$\bar x= \frac{\sum x_i}{n}=\frac{459}{9}=51$

$\bar y= \frac{\sum y_i}{n}=\frac{1227}{9}=136.33$

And we can find the intercept using this:

$b=\bar y -m \bar x=136.33-(1.488*51)=60.442$

So the line would be given by:

$y=1.488 x +60.442$

And then the best predicted value of y for x = 41 is:

$y=1.488*41 +60.442 =121.45$

3 0

3 years ago

PLEASE ANSWERRRRRRRRR

navik [9.2K]

Answer:

I thınk the ıntıal value ıs $20 and the rate of change ıs $5

Step-by-step explanation:

7 0

3 years ago