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vagabundo [1.1K]
2 years ago
10

14

Mathematics
2 answers:
SSSSS [86.1K]2 years ago
6 0

Answer:

I am not sure if my answer is yes. .

andriy [413]2 years ago
4 0

Answer:

alam ko sagot pero mataas lang

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How do compare ratios then simplify to find the answer
gogolik [260]

"Compare ratios" covers a lot of territory. If all you want to do is find which one is larger, you can subtract or divide.

(a/b) - (c/d) > 0 . . . . means a/b is larger

(a/b) / (c/d) > 1 . . . . means a/b is larger

These operations with fractions are done using the methods of arithmetic with fractions that you have been taught.

____

"Simplify" when applied to ratios usually means common factors are removed from each of the terms.

For example, the ratio 2:12 is a ratio of even numbers, so we know both numbers have a factor of 2. (2 is a factor common to both numbers.) When we divide them both by 2, we have the reduced ratio 1:6. That is, 2:12 simplifies to become 1:6.

(It is helpful to have a good working knowledge of multiplication tables when you approach problems in simplifying ratios.)

= = = = = = = = = =

In "quick and dirty" terms, you can do the subtraction ...

\dfrac{a}{b}-\dfrac{c}{d}=\dfrac{ad-bc}{bd}

That is, you really only need to find out if (ad) > (bc) to determine if (a/b) > (c/d). A similar result is obtained when you consider division ...

\displaystyle\frac{\left(\frac{a}{b}\right)}{\left(\frac{c}{d}\right)}=\frac{a}{b}\cdot\frac{d}{c}=\frac{ad}{bc}

This will be greater than 1 if (ad) > (bc), signifying that (a/b) > (c/d).

_____

Here's an example with numbers.

... Compare 6/7 to 43/50.

... The relationship of interest will be revealed by the products 6·50 = 300 and 7·43 = 301.

... Since 300 < 301, these tell us 6/7 < 43/50.

_____

We say the above methods are "quick and dirty" because the results may need to be simplified when you're done.

For example, subtracting 1/6 from 1/2 gives

... 1/2 - 1/6 = (1·6 - 2·1)/(2·6) = 4/12

Here, numerator and denominator have a common factor of 4. Removing that gives 4/12 = 1/3.

Even if you do this by the method of common denominators, you still need to reduce the result.

... 1/2 - 1/6 = 3/6 - 1/6 = (3-1)/6 = 2/6

This must be reduced to 1/3 by removing a common factor of 2 from numerator and denominator.

3 0
2 years ago
Evaluate the expression<br><br> 5^2(72-45) / 5
Lera25 [3.4K]

Answer:

135

Step-by-step explanation:

Order of Operations: Parentheses first, then power, then division!

3 0
3 years ago
A section of road covers 18.3 square feet. Each square foot will require 5.1 minutes to repair. How many total minutes will it t
geniusboy [140]

All you have to do is multiply 18.3 x 5.1

18.3×5.1=93.33

It will take 93.33 minutes to repair the entire section. Hope that helps!

8 0
3 years ago
Read 2 more answers
Graph the solution of y – 2 &gt; 1 on a number line.
Hunter-Best [27]
<span> y-2 > 1
 y-2+2 > 1+2
 y+0 > 3
 y > 3</span>

5 0
2 years ago
Given g(x) =2x+4, solve for x when g (x) = -8
Temka [501]

Answer:

Step-by-step explanation:

X=-6

7 0
2 years ago
Read 2 more answers
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