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umka21 [38]
1 year ago
8

Describe how to compare the two ratios 5:8 to 7:9. Tell each step to set up the ratios, then explain what to do to be able to co

mpare the ratios. Finally make sure to answer how the ratios compare. ~ 100 POINTS AND ILL GIVE YOU BRAINLIEST IF YOU ANSWER CORRECTLY AND 5 SENTENCES NEEDED
Mathematics
1 answer:
Lera25 [3.4K]1 year ago
4 0

Step-by-step explanation:

The ratio's can be expressed as fractions and you may compare those.

  • 5 : 8 = 5/8
  • 7 : 9 = 7/9

In order to compare fractions you need to bring them into equal denominator.

8 and 9 have LCM of 8*9 = 72 since they have no common factors.

<u>The equivalent fractions with common denominator are:</u>

  • 5/8 = 9*5/(9*8) = 45/72
  • 7/9 = 8*7/(8*9) = 56/72

<u>Now we can compare the fractions:</u>

  • 45/72 < 56/72, since 45 < 56
You might be interested in
How do you find the LCM???
pishuonlain [190]
If you know the LCM then you divide it by the other number.
If you don't already know it: is 8 a factor of 9 or do they have equal factors? No.
Is 9 a factor of 8 or do they have equal factors? No.
The easy way: multiply 8 by 9 to get LCM :)
8 0
3 years ago
8% of a number is 20
Gnoma [55]
To find what the number is, we need to set up proportional fractions.
Currently, we have 8% of a number is 20.
To set up our fractions, put 100% under 8% as a fraction first.

It should look like this: 8/100 (hint: per-cent means per-hundred).

Now, we have 20 out of a number, x. This is because we are claiming that 20 is 8% of a number (if we just reword the question without changing the concept).
It should look like this: 20/x.

Our proportional fractions are:
20/x = 8/100.

To solve for this, we need to cross-multiply the denominator of 8/100 (bottom number, 100) with the numerator of 20/x (top number, 20).

This product equation should look like this:
20 x 100 (when simplified, we get 2000).

Now, we need to cross multiply the numerator of 8/100 (top number, 8) with the denominator of 20/x (bottom number, x).

This product equation should look like this:
8x.

Now that we've cross-multiplied, set our two products as an equation.

8x = 2000.

To solve for x, divide both sides by 8 (remember, what you do to one side of an equation, you must do it to the other).

8x / 8 = x
2000 / 8 = 250.

x = 250

Your final answer is:

8% of 250 is 20.

I hope this helps!
3 0
3 years ago
Read 2 more answers
What is the exterior angle sum for a regular heptagon
Makovka662 [10]

Answer:

360 degrees

Step-by-step explanation:

The sum of exterior angles of a heptagon is 360 degrees. For regular heptagon, the measure of the interior angle is about 128.57 degrees. The measure of the central angle of a regular heptagon is approximately 51.43 degrees. The number of diagonals in a heptagon is 14.

4 0
3 years ago
Read 2 more answers
Jol 26, 12:24:35 PM
love history [14]

Answer:

x = 16.6

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp / adj

tan 71 = x /5.7

5.7 tan 71 = x

x=16.55400

Rounding to the nearest tenth

x = 16.6

6 0
3 years ago
Chris saved x dollars and spent half of his savings buying video games. After earning an additional $15 cutting grass, he had $5
olga55 [171]

Chris started with $70  in the savings account

What is the equation representing the scenario?

The equation representing the scenario painted in the question is: one half times x plus 15 equals 50

1/2*X+15=50

X/2+15=50

X/2=50-15

X/2=35

X=35*2

X=70

In short the amount Chris started with in the savings account is $70

Find out more about savings plan equation on:brainly.com/question/23630456

#SPJ1

4 0
1 year ago
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