Do two whole numbers always have a least common multiple?

The ratio of the width to the length of a rectangle is 2:3, respectively. Answer each of the following. a By what percent would

Elina [12.6K]

Answer:

The percentage increase in Area of rectangle is 200%

Step-by-step explanation:

Given as :

The ratio of the width to the length of a rectangle is 2:3

Let The length of rectangle = 2 x

Let The width of rectangle = 3 x

∵ Area of rectangle = length × width

So, $A_1$ = 2 x × 3 x

Or, $A_1$ = 6 x²

Again

The increased length of rectangle = 2 x + 2 x = 4 x

The increase width of rectangle = 3 x + 50% of 3 x

I.e The increase width of rectangle = 3 x + 1.5 x = 4.5 x

∵ Increased Area of rectangle = increased length × increased width

Or, $A_2$ = 4 x × 4.5 x = 18 x²

So, The percentage increase in area = $\dfrac{A_2 - A_1}{A_1}$ × 100

Or, The percentage increase in area = $\frac{18 x^{2}-6x^{2}}{6x^{2}}$ × 100

Or , The percentage increase in area = $\dfrac{12}{6}$ × 100

∴ The percentage increase in area = 200

Hence, The percentage increase in Area of rectangle is 200% Answer

5 0

3 years ago

What is the value of the expression:5m-2n when m=3 and n=5?

Paul [167]

9514 1404 393

Answer:

5

Step-by-step explanation:

Put the numbers where the letters are and do the arithmetic.

5(3) -2(5) = 15 -10 = 5

3 0

2 years ago

Read 2 more answers

Morgan is a real estate agent and most recently made $12,500 on the sale of a home. Her commission she earns in selling homes is

ra1l [238]

Answer:

$104,167 approx.

Step-by-step explanation:

Step one:

Given data

Morgan made $12,500 on the sale of a home.

Her commission she earns in selling homes is 12%

Step two:

let the cost of the home be x

So 12% of x= 12,500

12/100*x= 12,500

0.12*x=12,500

0.12x=12,500

divide both sides by 0.12

x= 12,500/0.12

x=$104,166.66

x=$104,167

8 0

2 years ago

Question 1

erastova [34]

Based on the above scenario, the sales director conducted an experiment.

Because a treatment was applied to the sales representatives.

The the best statistical study for this situation because the sales director is trying to establish correlation.

<h3>What is an experiment?</h3>

An experiment is known to be a method that is et up with the aim to test a given hypothesis as a component of a scientific method.

In an experiment, there are the two key variables which are the independent and dependent variables. The independent variable is known to be a controlled or it is tested against the dependent variable.

See full question

Part A.

The sales director conducted a.) an experiment b.) a survey c.)an observational study because a treatment a.) was not b.)was applied to the sales representatives.

This is the best statistical study for this situation because the sales director is trying to establish a.) causality b.) correlation.

Learn more about experiment from

brainly.com/question/17274244

5 0

1 year ago

170 percent converted to a fraction equals: ...?

Verdich [7]

There are several ways to do this by converting the percentage to a fraction by placing thee expression over 100100. Percentage means out of 100 and it will look like this 170/100.
Reduced the expression. 17/10
or in whole number it is 1 17/10

8 0

2 years ago

Read 2 more answers