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Aleksandr-060686 [28]
3 years ago
8

%7D%20%7D%20" id="TexFormula1" title=" \frac{6a}{ - 1} \times \frac{7}{ - 9a {}^{2} } " alt=" \frac{6a}{ - 1} \times \frac{7}{ - 9a {}^{2} } " align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
lesya692 [45]3 years ago
4 0

Answer:

14/3a²

Step-by-step explanation:

-6a × 7/-9a³

(7 × 6a) / 9a³

42a / 9a³

14a / 3a³

14/3a²

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On the number line above, points A, B, C, and D are integers, and AB: BC: CD = 3:2:1. What is the length of AC?
NeX [460]

Using proportions, it is found that the length of AC is of 15 units.

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

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The ratios in this problem are given as follows:

  • \frac{AB}{BC} = \frac{3}{2}.
  • \frac{BC}{CD} = \frac{2}{1}.
  • \frac{AB}{CD} = \frac{3}{1}.

The entire length is of 18 units, AB is half of that, hence:

AB = 0.5 x 18 = 9 units.

BC is two thirds of the length from 6 to 15, hence:

BC = 2/3 x (15 - 6) = 6

Thus, the length of AC is:

AC = 9 + 6 = 15 units.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

4 0
2 years ago
when i post these questions just solve them for my brother will ya plz he will give thanks to who ever does it
pogonyaev

Answer:

1/4 or 5/20

Step-by-step explanation:

You find how many numbers are above 10. Then find the frequency and add them together, that will be your numerator. The total number of tries is 200, that is your denominator.

7 0
3 years ago
Please help :)
spin [16.1K]

The ratios 84/105 and 128/160 are proportional

<u>Solution:</u>

Given, two ratios are \frac{84}{105} and \frac{128}{160}

We have to give two different reasons to support the answer.

<em><u>Reason 1:</u></em>

Now, we know that, numerators and denominators should be proportional to be two fractions in proportion.

\text { Then, } \frac{84}{128}=0.65625 \text { and } \frac{105}{160}=0.65625

So numerators and denominators are in proportion, then given two fractions are proportion.

<em><u>Reason 2:</u></em>

Now, values of two fractions must be equal:

\rightarrow \frac{84}{105}=\frac{128}{160} \rightarrow 84 \times 160=105 \times 128 \rightarrow 13440=13440

So, values of two fractions are equal, then they are in proportion.

Hence, the given two fractions are in proportion.

7 0
3 years ago
X^2 + 4x + 4 = 10<br>please help!! I missed class! show steps!​
lina2011 [118]

Answer:

x = √(10) - 2, -√(10) - 2

Step-by-step explanation:

x² + 4x + 4 = 10

factor:

(x + 2)² = 10

take square root of both sides:

x + 2 = ±√(10)

split into 2 equations:

x + 2 = √(10)      x + 2 = -√(10)

solve both equations and collect solutions:

x = √(10) - 2, -√(10) - 2

3 0
3 years ago
1/4 of the girls and 1/8 of boys in the class retake their school pictures. The photographer retakes pictures for 16 girls and 7
gladu [14]
With my calculations im thinking 120 students
4 0
3 years ago
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