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2 years ago

Which of the following is a proportion?

Mathematics

1 answer:

ANTONII [103]2 years ago

8 0

The option that is a proportion is: B. 4/6 = 2/3.

<h3>What is a Proportion?</h3>

A proportion can be defined as an equation whereby two ratios are set equal to each other, in such a way that the ratio on one side equals the ratio on the other side of the equation when simplified.

First Option is not a proportion because:

5/7 ≠ 10/12 (10/12 can be simplified further as 5/6, which is not equal to 5/7).

Second option is a proportion because:

4/6 = 2/3

8/12 = 2/3

Thus, 4/6 = 8/12.

Third Option is not a proportion because:

14/21 = 2/3

9/12 = 3/4

Therefore, 14/21 ≠ 9/12.

Fourth Option is not a proportion because:

9/15 = 3/5

12/18 = 2/3

Therefore, 9/15 ≠ 12/18.

In conclusion, the option that is a proportion is: B. 4/6 = 2/3.

Learn more about proportion on:

brainly.com/question/19994681

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KonstantinChe [14]

Answer:

1/12

Step-by-step explanation:

If I am wrong LMK

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3 years ago

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Questions (no partial grades if you don't show your work) 1. In a group of 6 boys and 4 girls, four children are to be selected.

mariarad [96]

Answer:

Total number of ways will be 209

Step-by-step explanation:

There are 6 boys and 4 girls in a group and 4 children are to be selected.

We have to find the number of ways that 4 children can be selected if at least one boy must be in the group of 4.

So the groups can be arranged as

(1 Boy + 3 girls), (2 Boy + 2 girls), (3 Boys + 1 girl), (4 boys)

Now we will find the combinations in which these arrangements can be done.

1 Boy and 3 girls = $^{6}C_{1}\times^{4}C_{3}=6\times4$ =24

2 Boy and 2 girls= $^{6}C_{2}\times^{4}C_{2}=\frac{6!}{4!\times2!}\times\frac{4!}{2!\times2!}=15\times6=90$

3 Boys and 1 girl = $^{6}C_{3}\times^{4}C_{1}=\frac{6!}{4!\times2!}\times\frac{4!}{3!}=\frac{6\times5\times4}{3 \times2} \times4=80$

4 Boys = $^{6}C_{4}=\frac{6!}{4!\times2!} =\frac{6\times 5}{2\times1}=15$

Now total number of ways = 24 + 90 + 80 + 15 = 209

7 0

3 years ago

9a-4(2a+5).<br> I really need help with this question

slava [35]

First you had to expanded form.

$-4(2a+5)=-8a-20$

$9a-8a-20$

Finally you can also add by similar to elements.

$9a-8a=a$

$a-20$

Final answer: $\boxed{=a-20}$

Hope this helps!

And thank you for posting your question at here on brainly, and have a great day.

-Charlie

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4 years ago

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Mamont248 [21]

Answer:

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consecutive angles are supplementary in parallelogram

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3x+5+9x-17 = 180

12x-12 = 180

x-1 = 15

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q=s = 53°

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