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3 years ago

A rectangular rug has a perimeter of 460 meters. The width of the rug is five meters more than 4 times the length. Find the

Mathematics

1 answer:

Paladinen [302]3 years ago

6 0

Answer:

Length = 45 m

Width = 185 m

Step-by-step explanation:

Given:

Perimeter of rectangular rug = 460 m

width of the rug is five meters more than 4 times the length

To find:

Width and length of rug = ?

Solution:

Let the length = $l$ m

As per given statement,

Width = $4l+5$ m

Formula for perimeter of a rectangle = $2\times (Length +Width)$

$460=2\times (l+4l+5)\\\Rightarrow 230 = 5l+5\\\Rightarrow l = \dfrac{225}{5} = 45\ m$

Width = $4l+5$ m

Width = $4\times 45+5 = 185\ m$

So, the answer is:

<em>Length = 45 m</em>

<em>Width = 185 m</em>

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Which is the graph of the linear inequality 2x – 3y < 12?

lora16 [44]

On a coordinate plane, a dashed straight line has a positive slope and goes through (0, negative 4) and (3, negative 2) and to the left of the line is shaded.

<h3>What are the characteristics of the graph of the inequality?</h3>

Inequality of a graph is represented with the greater then(<), less then(>) or with the other inequity signs. The inequality line on the graph is represented with the dotted lines.

Characteristics of the graph of the inequality-

Open circle-When the value of the variable is equal to the given number, then the graph of the inequality has an open circle.
Closed circle-When the value of the variable is not equal to the given number, then the graph of the inequality has a closed circle.
The ray will move to the right-When the, value of the variable is greater than the number, then the ray will move to the right.
The ray will move to the left-When the value of the variable is less than the number, then the ray will move to the left.

The linear inequality given in the problem is,

$2x - 3y < 12$

The graph of this line is attached below. Here, for the greater than sign, every thing on the left of the graph is shaded, and the line will be dotted because of inequality as shown in the attached image.

Hence, on a coordinate plane, a dashed straight line has a positive slope and goes through (0, negative 4) and (3, negative 2) and to the left of the line is shaded.

Learn more about the characteristics of graph of the inequality here;

brainly.com/question/62792

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6 0

1 year ago

Simplify each expression 9(5x)

Tatiana [17]

Answer:

45x

Step-by-step explanation:

Just expand and coolect to get 9x5=45 and add x

6 0

2 years ago

Read 2 more answers

"The manager for State Bank and Trust has recently examined the credit card account balances for the customers of her bank and f

yuradex [85]

Answer:

$P(X = 4 ) = 0.1876$

$P(X \le 4) = 0.8358$

Step-by-step explanation:

From the question we are told that

The proportion that has outstanding balance is p = 0.20

The sample size is n = 15

Given that the properties of the binomial distribution apply, for a randomly selected number(X) of credit card

$X \ \ ~ Bin (n , p )$

Generally the probability of finding 4 customers in a sample of 15 who have "maxed out" their credit cards is mathematically represented as

$P(X = 4 ) = ^nC_4 * p^4 * (1 - p)^{n-4}$

=> $P(X = 4 ) = ^{15}C_4 * (0.20)^4 * (1 - 0.20)^{15-4}$

Here C stand for combination

=> $P(X = 4 ) = 0.1876$

Generally the probability that 4 or fewer customers in the sample will have balances at the limit of the credit card is mathematically represented as

$P(X \le 4) = [ ^{15}C_0 * (0.20)^0 * (1 - 0.20)^{15-0}]+[ ^{15}C_1 * (0.20)^1 * (1 - 0.20)^{15-1}]+\cdots+[ ^{15}C_4 * (0.20)^4 * (1 - 0.20)^{15-4}]$

=> $P(X \le 4) = 0.8358$

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3 years ago

Tell whether the two rates form a proportion:<br> 35 cars in 5 days<br> 60 cars in 10 days

monitta

Yes they both are proportional. you can do 7 cars each day for 5 days. and then you can do 6 cars a day for 10 days

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3 years ago

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puteri [66]

Answer:

You just plug it in.

Step-by-step explanation:

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3 years ago