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Sladkaya [172]
2 years ago
14

Three Step Linear Equations Solve for x 8x+5=-6x+3

Mathematics
2 answers:
tensa zangetsu [6.8K]2 years ago
8 0

Answer:

x = -1/7   or  -0.14285 - in decimal form

Step-by-step explanation:

8x + 5 = -6x + 3

8x + 6x = 3 - 5       { change side }

14x = -2                  { basic addition and subtraction }

x = -2/14                 { changing sides }

x = -1/7                    { simplified }

AysviL [449]2 years ago
8 0

Answer:

Subtract

5

from both sides of the equation

the answer is x=-1

                              _

                                7          a fraction

Step-by-step explanation:

sorry i know that its sloppy

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Find the lateral area for the pyramid with the equilateral base
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<h3>The lateral area for the pyramid with the equilateral base is 144 square units</h3>

<em><u>Solution:</u></em>

The given pyramid has 3 lateral triangular side

The figure is attached below

Base of triangle = 12 unit

<em><u>Find the perpendicular</u></em>

By Pythagoras theorem

hypotenuse^2 = opposite^2 + adjacent^2

Therefore,

opposite^2 = 10^2 - 6^2\\\\opposite^2 = 100 - 36\\\\opposite^2 = 64\\\\opposite = 8

<em><u>Find the lateral surface area of 1 triangle</u></em>

\text{ Area of 1 lateral triangle } = \frac{1}{2} \times opposite \times base

\text{ Area of 1 lateral triangle } = \frac{1}{2} \times 8 \times 12\\\\\text{ Area of 1 lateral triangle } = 48

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3 x 48 = 144

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5 0
3 years ago
Suppose that you are an elementary school teacher and you are evaluating the reading levels of your students. You find an indivi
aleksklad [387]

Answer:

The child's reading level is at the 3.4th percentile.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

You do some research and determine that the reading rates for their grade level are normally distributed with a mean of 90 words per minute and a standard deviation of 24 words per minute.

This means that \mu = 90, \sigma = 24

You find an individual that reads 46.4 word per minute. At what percentile is the child's reading level?

The percentile is the p-value of Z when X = 46.4, multiplied by 100. So

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

Z = \frac{46.4 - 90}{24}

Z = -1.82

Z = -1.82 has a p-value of 0.034.

0.034*100 = 3.4

The child's reading level is at the 3.4th percentile.

6 0
3 years ago
What is the center and radius of the circle with equation (x + 9)2 + (y + 5)2 = 64?
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Hello,

center (-9,-5)
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Answer A
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