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Trava [24]
3 years ago
9

What are two ratios that are equivalent to 9/12

Mathematics
2 answers:
Gnom [1K]3 years ago
6 0
Find the greatest common factor (GCF) of 9 and 12 using factor trees. The GCF is 3

Divide each term (9 and 12) over 3
9/3 = 3
12/3 = 4

So 9/12 reduces to 3/4

In other words, 9/12 = 3/4

--------------------------------------

Now focusing on 3/4, we can multiply top and bottom by the same value. Let's say we multiply top and bottom by 5

3*5 = 15
4*5 = 20

So 3/4 = 15/20

--------------------------------------

So two ratios equivalent to 9/12 are 3/4 and 15/20. There are infinitely other ratios that are equivalent. 

In short, the answers are 3/4 and 15/20.
Mrac [35]3 years ago
4 0
18/24 and 3/4 are ratios that are equivalent
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Answer: See step by step

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7 0
3 years ago
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What is the measure of 162<br> A. 324°<br> B. 162°<br> O C. 81°<br> D. 72°
telo118 [61]

Answer:

81

Step-by-step explanation:

trust me its correct

4 0
3 years ago
Dara ran on a treadmill that had a readout indicating the time remaining in her exercise session. When the readout indicated 24
Nat2105 [25]

Answer:

E. 16 min 12 sec

Step-by-step explanation:

Let x represent total time taken to complete the exercise.

We have been given that Dara ran on a treadmill that had a readout indicating the time remaining in her exercise session.

When the readout indicated 24 min 18 sec, she had completed 10% of her exercise session. This means that 90% time of exercise is equal to 24 minutes and 18 seconds.

18 seconds will be equal to 0.3 minutes.

Let us find total time of exercise as:

\frac{90}{100}x=24.3

0.90x=24.3

\frac{0.90x}{0.90}=\frac{24.3}{0.90}

x=27

To find readout when Dara had completed 40% of her exercise session, we need to find 60% of total time.

\frac{60}{100}(27)=0.60(27)=16.2

Since our time in in minutes, so we will convert 0.2 minutes to seconds by multiplying by 60.

0.20(60)=12

Therefore, the readout will indicate 16 minutes 12 seconds, when Dara had completed 40% of her exercise session.

8 0
3 years ago
3^4 + 2 ⋅ 5 = ____. (Input only whole numbers.)
meriva
91



Follow the order of operations.

3^4 + 2 * 5

81 + 2 * 5 (Exponent)

81 + 10 (Multiplication)

91 (Addition)



Please consider marking this answer as Brainliest to help me advance.
5 0
3 years ago
Which equation represents a circle that contains the point (-5, -3) and has a center at (-2, 1)?
Evgen [1.6K]

The equation (x + 2)² + (y - 1)² = 25 represents a circle that contain the point (-5 , -3) and has a center at (-2 , 1)

Step-by-step explanation:

The equation of a circle of center (h , k) and radius r is:

(x - h)² + (y - k)² = r²

The given is:

  • The center of the circle is (-2 , 1)
  • The circle passes through point (-5 , -3)

The length of the radius is the distance from the center of the circle

to a point on the circle

∵ The formula of the distance is d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}

∵ The center of the circle is (-2 , 1)

∵ The circle passes through point (-5 , -3)

∴ r=\sqrt{[(-5)-(-2)]^{2}+[(-3)-(1)]^{2}}

∴ r=\sqrt{[-3]^{2}+[-4]^{2}}

∴ r=\sqrt{9+16}

∴ r=\sqrt{25}

∴ r = 5

∵ The equation of the circle is (x - h)² + (y - k)² = r²

∵ The center of the circle is (-2 , 1)

∴ h = -2 and k = 1

∵ r = 5

∴ r² = (5)² = 25

- Substitute the values of h , k , r² in the equation of the circle

∴ (x - -2)² + (y - 1)² = 25

∴ (x + 2)² + (y - 1)² = 25

The equation (x + 2)² + (y - 1)² = 25 represents a circle that contains

the point (-5 , -3) and has a center at (-2 , 1)

Learn more:

You can learn more about the equation of the circle in brainly.com/question/9510228

LearnwithBrainly

7 0
3 years ago
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