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scZoUnD [109]
2 years ago
6

Solve 3(b-5) = 27

Mathematics
1 answer:
Sergeu [11.5K]2 years ago
6 0

Step-by-step explanation:

♤ 3(b-5) = 27

=> 3b - 15 = 27

=> 3b = 27 + 15 = 42

=> b = 42/3

=> <em><u>b</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>14</u></em><em><u> </u></em><em><u>(</u></em><em><u>Ans</u></em><em><u>)</u></em><em><u> </u></em>

♤ 2x/3 = 6

=> 2x = 6 × 3 = 18

=> x = 18/2

=> <em><u>x</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>9</u></em><em><u> </u></em><em><u>(</u></em><em><u>Ans</u></em><em><u>)</u></em><em><u> </u></em>

♤ 2(n + 5) = 15

=> 2n + 10 = 15

=> 2n = 15 - 10 = 5

=> n = 5/2

=> <em><u>n</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>2</u></em><em><u>.</u></em><em><u>5</u></em><em><u> </u></em><em><u>(</u></em><em><u>Ans</u></em><em><u>)</u></em>

♤ a + a + a + a = 24

=> 4a = 24

=> a = 24/4

=> <em><u>a</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>6</u></em><em><u> </u></em><em><u>(</u></em><em><u>Ans</u></em><em><u>)</u></em>

♤ 4c + 6 = 18

=> 4c = 18 - 6 = 12

=> c = 12/4

=> <em><u>c</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>3</u></em><em><u> </u></em><em><u>(</u></em><em><u>Ans</u></em><em><u>)</u></em>

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Answer:

  2.97×10³

Step-by-step explanation:

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8 0
3 years ago
A college conducts a common test for all the students. For the Mathematics portion of this test, the scores are normally distrib
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Using the normal distribution, it is found that 58.97% of students would be expected to score between 400 and 590.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

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

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

\mu = 502, \sigma = 115

The proportion of students between 400 and 590 is the <u>p-value of Z when X = 590 subtracted by the p-value of Z when X = 400</u>, hence:

X = 590:

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

Z = \frac{590 - 502}{115}

Z = 0.76

Z = 0.76 has a p-value of 0.7764.

X = 400:

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

Z = \frac{400 - 502}{115}

Z = -0.89

Z = -0.89 has a p-value of 0.1867.

0.7764 - 0.1867 = 0.5897 = 58.97%.

58.97% of students would be expected to score between 400 and 590.

More can be learned about the normal distribution at brainly.com/question/27643290

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6 0
2 years ago
Urgent!!
Ber [7]

Answer:

Sara earned a commission of <em>$2,300.</em>

Step-by-step explanation:

To find the answer we will first<em> divide 5 by 100</em> and we get <em>0.05</em>.  Now <em>multiply $46,000 by 0.05 </em>and we get <em>$2,300</em>.  Therefore, <em>$2,300 is our answer.</em>

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Sally buys a handbag. there was a discount of 30%. if sally paid, $17.50, what was the original price?
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The original price was $25. 

First, convert the 30% to a real mathematical number. For percents, this is always done by dividing the 30% by 100%, or 30% / 100% = 0.300.

Second, find out what 30% of $25 is. This is the amount of the sale discount. This is always found by mulitplying 0.300 by the item's cost $25, like this:

0.300 x $25 = $ 7.50.

So for this sale, you'll save $ 7.50 on this item.

This means, the cost of the item to you is

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