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Ann [662]
4 years ago
9

What is the solution to the linear equation? 2/3x-1/2=1/3+5/6x

Mathematics
2 answers:
creativ13 [48]4 years ago
7 0
2/3x - 1/2 = 1/3 + 5/6x....multiply the entire equation by the common denominator of 6...this will get rid of the fractions.

6(2/3x - 1/2) = 6(1/3 + 5/6x) =
4x - 3 = 2 + 5x...subtract 5x from both sides
4x - 5x - 3 = 2...add 3 to both sides
4x - 5x = 2 + 3...combine terms
-x = 5...multiply by -1 to make x positive
x = -5
strojnjashka [21]4 years ago
3 0

Answer:

x=-5

Step-by-step explanation:

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lukranit [14]

Answer:

425+24x=y

Step-by-step explanation:

8 0
4 years ago
Lines a and b are perpendicular. If the slope of line a is 3, what is the slope of line b?
erma4kov [3.2K]

Answer:

\large\boxed{D.\ -\dfrac{1}{3}}

Step-by-step explanation:

\text{Let}\ k:y=m_1x+b_1\ \text{and}\ l:y=m_2x+b_2,\ \text{then}\\\\l\ ||\ k\iff m_2=m_1\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\-------------------\\\\\text{We have the slope of given line a:}\ m_1=3.\ \text{Therefore the slope of a line b}\\\text{perpendicular to a is: }\\\\m_2=-\dfrac{1}{m_1}\to m_2=-\dfrac{1}{3}

3 0
3 years ago
Read 2 more answers
If the sum of a number and four is doubled, the result is six less than the number. Find the number
oee [108]

Answer: the number is -14

Step-by-step explanation: let the number be x

2(x+4) = x-6

2x+8 = x-6

2x-x = -6-8

x = -14

7 0
3 years ago
A study measured the speeds at which cars pass through a checkpoint. Assume the speeds are normally distributed such that the av
xxTIMURxx [149]

Answer:

0.3085 = 30.85% probability that the next car will be traveling less than 59 miles per hour.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\mu = 61, \sigma = 4

Calculate the probability that the next car will be traveling less than 59 miles per hour.

This is the pvalue of Z when X = 59. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{59 - 61}{4}

Z = -0.5

Z = -0.5 has a pvalue of 0.3085

0.3085 = 30.85% probability that the next car will be traveling less than 59 miles per hour.

7 0
3 years ago
Please help me out, thank you ​
GuDViN [60]

Answer: 24

Step-by-step explanation: 180-114=66

66+90=156

180-156=24

8 0
3 years ago
Read 2 more answers
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