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Brrunno [24]
4 years ago
12

The area of a rectangle pool is 192 square meters. The lenght of the pool is 4 meters more than its width. Find the length and w

idth.
Mathematics
2 answers:
weqwewe [10]4 years ago
4 0

Answer:

Step-by-step explanation:

The length of the pool is 4 meters more than its width

Let x and (x + 4m) represent the width and length respectively

 

 x(x+4m) = 192 m^2

solving for x

x^2 + 4m - 192 m^2 = 0

factoring

(x+16)(x-12)=0           |OR x+=+%28-4+%2B-+28%29%2F%282%29+ using Quadratic Formula

(x+16)=0  tossing out negative solution for measure

(x-12)=0   x = 12m, the width.  The length is 16m   (12m+4m)  

zhuklara [117]4 years ago
3 0

Answer: length is 52 and width is 44

Step-by-step explanation: I divided 192 into 4 which equals 48....but since it's a rectangle you would have to subtract 4 from 48 twice and add 4 to 48 twice.

48+4=52

48+4=52

48-4=44

48-4=44

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Sam makes some bread rolls. He gives 2/5 of the bread to his neighbor and 4/9 of the remainder to his cousin. He has 15 tools le
Cerrena [4.2K]

Answer:

Sam initially made 45 bread rolls

Step-by-step explanation:

Let x = total number of bread rolls made by Sam. He gives 2/5 of the bread to his neighbor. This means he gave 2/5 × x =

2x/5 bread rolls to his neighbor.

The remainder would be x - 2x/5 =3x/5

He gave 4/9 of the remainder to his cousin = 4/9 ×3x/5=12x/45

=4x/15

He has 15 bread rolls left

Total number of bread rolls = what he has left + what he gave his cousin + what he gave his neighbor

x = 15 + 4x/15 + 2x/5

Taking LCM of 15 and cross multiplying

15x= 225+4x + 6x

15x = 225 +10x

15x-10x = 225

5x = 225

x = 225/5 =45

Sam initially made 45 bread rolls

4 0
4 years ago
if you divide a positive number by 12, the answer would be less than the original number? always, sometimes, or never​
elena55 [62]

Answer:

Always

Step-by-step explanation:

The rules for positive numbers is that addition and multiplication makes numbers larger. Subtraction and division makes numbers smaller.

Since 12 is a positive number, the result of dividing a positive number by 12 will make it smaller.

8 0
4 years ago
What is the greater faction than 11/20
Mila [183]

Answer:

Are you looking to calculate whether 2/10 is greater than 11/20? One of the most common calculations you'll make in math is to compare fractions. In this really simple guide, we'll teach you how to compare and determine if 2/10 is bigger than 11/20 and walk you through the step-by-process of how the calculation is made.

As we always do in these tutorials, let's recap and remind ourselves that the number above the fraction line is called the numerator and the number below the fraction line is called the denominator.

Depending on the math problem you want to solve, there are two methods to calculate if 2/10 is larger than 11/20:

Convert the fractions to have the same denominator

Convert the fractions to a decimal number

Let's start with the first method: converting the fractions to the same denominator. First, we'll set up 2/10 and 11/20 side by side so they are easier to see:

Converting Denominator

2

10

&

11

20

Our denominators are 10 and 20. What we need to do is find the lowest common denominator of the two numbers. This is the smallest number that can be divided by both 10 and 20. In this case, the lowest common denominator is 20.

If we multiply the first denominator (10) by 2 we will get 20. If we multiply the second denominator (20) by 1 we will also get 20. We also need to multiply the numerators above the line by the same amounts so that the fraction values are correct:

2 x 2

10 x 2

11 x 1

20 x 1

This is what 2/10 and 11/20 looks like with the same denominator:

4

20

&

11

20

Now that these fractions have been converted to have the same denominator, we can clearly see by looking at the numerators that 4 is NOT greater than 11 which also means that 2/10 is NOT greater than 11/20.

Converting to Decimal

You can also compare these fractions by first converting them to decimal format. This is a lot faster than working out the lowest common denominator. All we do here is divide the numerator by the denominator for each fraction:

2/10 = 0.2

11/20 = 0.55

Now that these fractions have been converted to decimal format, we can compare the numbers to get our answer. 0.2 is NOT greater than 0.55 which also means that 2/10 is NOT greater than 11/20.

Hopefully this tutorial has helped you to understand how to compare fractions and you can use your new found skills to compare whether one fraction is greater than another or not!

© 1999-2021 VisualFractions.com. All Rights Reserved.

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