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3 years ago

A triangle has side lengths measuring 2x + 2 ft, x + 3 ft, and n ft.

Mathematics

1 answer:

Liula [17]3 years ago

5 0

Answer: x – 1 < n < 3x + 5

Step-by-step explanation:In a triangle sum of any two sides is always greater than the third side.

Now, the sides of the triangle are given to be :

2x + 2, x + 3 , n

Now, first take 2x + 2 and x + 3 as two sides and the side of length n as third side.

By using the property that sum of two sides is always greater than the third side in a triangle.

⇒ 2x + 2 + x + 3 > n

⇒ 3x + 5 > n ......(1)

Now, take n and x + 3 as two sides and the side of length 2x + 2 as the third side of triangle.

So, by the property, we have :

n + x + 3 > 2x + 2

⇒ n > x - 1 ...........(2)

From both the equations (1) and (2) , We get :

x – 1 < n < 3x + 5

Therefore, The answer is x – 1 < n < 3x + 5

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zimovet [89]

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2 years ago

The table below shows the transportation method of all of the employees who work at the mall. What percent of employees walk to

Pepsi [2]

Answer:

0.005 or 0.5% walk

Step-by-step explanation:

Total:

758 + 530 + 7 + 105 = 1400

To find how many employees walk:

7/1400 = 0.005

6 0

2 years ago

In Andrew’s Furniture Shop, he builds bookshelves and tables. Each type of furniture takes him about the same time to make. He f

olasank [31]

Given:
Cost to build a bookshelf = $20
Cost to build a table = $45
Amount available to spend = $600

Let x = number of bookshelves built.
Let y = number of tables built.

The total number of bookshelves and tables = 18.
Therefore
x + y = 18.
That is,
y = 18 - x (1)

The total amount available to build x bookshelves and y tables = $600. Therefore
20x + 45y = 600
That is (dividing through by 5),
4x + 9y = 120 (2)

Substitute (1) into (2).
4x + 9(18 - x) = 120
4x + 162 - 9x = 120
-5x = -42
x = 8.4
From (1),obtain
y = 18 - 8.4 = 9.6

Because we cannot have fractional bookshelves and tables, we shall test values of x=8, 9 and y=9,10 for profit

Note: The profit is $60 per bookshelf and $100 per table.
If x = 8, then y = 18-8 = 10.
The profit = 8*60 + 10*100 = $1480

If x = 9, then y = 18-9 = 9.
The profit = 9*60 + 9*100 = $1440

The choice of 8 bookshelves and 10 tables is more profitable.

Answer: 8 bookshelves and 10 tables.

5 0

2 years ago

seven less than the sum of p and t is as much as nine times a number y subtracted from 85 is seven times the sum of four and y

natita [175]

7-(p+t) = 9(85-n) = 7(4+y)

Algebra is a kind of mathematics that includes symbols and the arithmetic operations across these symbols. These symbols do not have any fixed values and are called variables.

An algebra expression contain coefficient variable and a constant

We apply various methods to solve those question

An algebra expression is also called an equation

let the number be x

Seven less than the of p and t

= 7-(p+t)…….(1)

Nine times a number y subtracted from 85

= 9(85-n)…..(2)

Seven times the sum of four and y

= 7(4+y)……(3)

Combining equations (1), (2) and (3) according to the question :

7-(p+t) = 9(85-n) = 7(4+y)

Learn about algebra here :

brainly.com/question/2972832

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1 year ago

Martha took 48 pictures of flowers and 36 pictures of beautiful scenery.she wants to display the pictures so there are the same

Goshia [24]

Well if you have 48 pics of flowers and 36 pictures of scenery and you want an equal amount of pictures of the scenery, you want to start out by just seeing what number divides evenly into both, in this case, it is four.

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2 years ago