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Temka [501]
3 years ago
15

Liner equations please help with answer!

Mathematics
1 answer:
svetlana [45]3 years ago
6 0

Answer:

n = - \frac{4}{7}

Step-by-step explanation:

Given

\frac{2}{3} (1 + n) = - \frac{1}{2} n

Multiply both sides by 6 ( the LCM of 3 and 2 ) to clear the fractions

4(1 + n) = - 3n ← distribute left side

4 + 4n = - 3n ( add 3n to both sides )

4 + 7n = 0 ( subtract 4 from both sides )

7n = - 4 ( divide both sides by 7 )

n = - \frac{4}{7}

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URGENT HELPP!!!
Aleonysh [2.5K]
<span>All three sides of triangle X'Y'Z' must be parallel to the corresponding sides in triangle XYZ and the corresponding angles are congruent .

The dilated triangle will be similar to the original triangle, which means all angles will be the same. 

</span><span>The sides of the two triangles will also be parallel. You can test this by observing the slopes:
Line XY has a slope of 2/3, moving from -4,2 and passing through -1,4.
Line X'Y' has the same slope, moving from (-6,3) to (-3,5)

You can see that this is the case for all corresponding sides' slopes. </span>
3 0
3 years ago
Read 2 more answers
Carson drives to school the same way each day and there are two independent traffic lights on his trip to school. He knows that
Lorico [155]

Answer:The correct answer is A, 14%.

Step-by-step explanation:

All you have to do is take the 30% chance of you HAVING to stop at the first light and find the chance that you won't have to stop at the first light, which is 70%, or .7. Then you take the chance of having to stop at the second light which is 80%, and find the probability of NOT having to stop there, which is 20%, or .2. Then you multiply the probabilities of not having to stop, which equals to .14.

8 0
3 years ago
Read 2 more answers
Solve the equation.-7=y/7
ad-work [718]

Answer:

y = -49

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Step-by-step explanation:

<u>Step 1: Define</u>

-7 = y/7

<u>Step 2: Solve for </u><em><u>y</u></em>

  1. Multiply 7 on both sides:                    -49 = y
  2. Rewrite:                                               y = -49
7 0
3 years ago
An educational psychologist wishes to know the mean number of words a third grader can read per minute. She wants to make an est
nirvana33 [79]

Answer:

The 80% confidence interval for the mean number of words a third grader can read per minute is between 40.4 wpm and 40.8 wpm.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.8}{2} = 0.1

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.1 = 0.99, so z = 1.28

Now, find M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.28*\frac{4.1}{\sqrt{840}} = 0.2

The lower end of the interval is the sample mean subtracted by M. So it is 40.6 - 0.2 = 40.4 words per minute.

The upper end of the interval is the sample mean added to M. So it is 40.6 + 0.2 = 40.8 words per minute.

The 80% confidence interval for the mean number of words a third grader can read per minute is between 40.4 wpm and 40.8 wpm.

3 0
4 years ago
Help plz and please make sure it’s right :)
romanna [79]
(180-76) + 42 + (180-x) = 180
104 + 42 + 180 - x = 180
-x = 180 - 326
x = 146°
8 0
3 years ago
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