Solve then graph each solution set on a number line <br><br> 2(w+36)+10>32

What value could be added to 2/15 to make the sum greater than 1/2

DENIUS [597]

6/15 . as 2/15 plus 6/15 is 8/15, which is greater than 1/2

7 0

3 years ago

Read 2 more answers

HELP ASAP DUE TODAY IT IS EASY IM JUST TOO LAZY IM SO SORRY

ankoles [38]

Answer:

B. Mean absolute deviation

Step-by-step explanation:

The mean absolute deviation of a dataset is the average distance between each data point and the mean.

8 0

2 years ago

A landscape architect wished to enclose a rectangular garden on one side by a brick wall costing $20/ft and on the other three s

makvit [3.9K]

Answer:

The dimensions of the garden that minimize the cost is 9.018 feet(length) and 13.528 feet(width)

Step-by-step explanation:

Let the length of garden be x

Let the breadth of garden be y

Area of Rectangular garden = $Length \times Breadth = xy$

We are given that the area of the garden is 122 square feet

So, $xy=122$ ---A

A landscape architect wished to enclose a rectangular garden on one side by a brick wall costing $20/ft

So, cost of brick along length x = 20 x

On the other three sides by a metal fence costing $10/ft.

So, Other three side s = x+2y

So, cost of brick along the other three sides= 10(x+2y)

So, Total cost = 20x+10(x+2y)=20x+10x+20y=30x+20y

Total cost = 30x+20y

Substitute the value of y from A

Total cost = $30x+20(\frac{122}{x})$

Total cost = $\frac{2440}{x}+30x$

Now take the derivative to minimize the cost

$f(x)=\frac{2440}{x}+30x$

$f'(x)=-\frac{2440}{x^2}+30$

Equate it equal to 0

$0=-\frac{2440}{x^2}+30$

$\frac{2440}{x^2}=30$

$\sqrt{\frac{2440}{30}}=x$

$9.018 =x$

Now check whether it is minimum or not

take second derivative

$f'(x)=-\frac{2440}{x^2}+30$

$f''(x)=-(-2)\frac{2440}{x^3}$

Substitute the value of x

$f''(x)=-(-2)\frac{2440}{(9.018)^3}$

$f''(x)=6.6540$

Since it is positive ,So the x is minimum

Now find y

Substitute the value of x in A

$(9.018)y=122$

$y=\frac{122}{9.018}$

$y=13.528$

Hence the dimensions of the garden that minimize the cost is 9.018 feet(length) and 13.528 feet(width)

4 0

2 years ago

A man spends 2/5 of his salary on food, 3/10 on his rent and 1/8 on other expenses. What fraction of his salary is still left wi

tino4ka555 [31]

Answer:

$\frac{7}{40}$

Step-by-step explanation:

$1-(\frac{2}{5}+\frac{3}{10}+\frac{1}{8})$

$1-\frac{33}{40}$

$\frac{7}{40}=0.175$

6 0

3 years ago

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Please help I need this for a text ASAP.

Sladkaya [172]

The values of x and y are 45 and 8.

<h3>What is a Linear Pair of Angles?</h3>

When two lines meet at a single point, a pair of linear angles is created. If the angles follow the point where the two lines cross, they are considered to be linear. A linear pair's angles add up to 180° in every case.

Given:

Measures of two linear pairs of angles which are of equal measures are 2x and 11y + 2.

As the sum of linear pair of angles is 180°, and if they are of equal measures, each angle must be equal to 90°.

To determine the values of x and y we equate the given angles to 90°.

2x = 90°

⇒ x = 45

And 11y+2 = 90°

⇒ 11y = 90-2 = 88

⇒ y = 8

To know more about linear pairs visit:

brainly.com/question/17525542

#SPJ13

8 0

9 months ago

Solve then graph each solution set on a number line 2(w+36)+10>32