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Tasya [4]
3 years ago
11

A) Simplify the expression and explain each step

Mathematics
1 answer:
Arte-miy333 [17]3 years ago
3 0
4x3x = 12x
4x2 = 8
So 12x+8-2

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A metallurgist has one alloy containing 34% copper another containing 48% copper. How many pounds of each alloy must he use to m
Zielflug [23.3K]

Answer:

<h2>36.14 pounds of 34% copper alloy and 9.86 pounds of 48% copper alloy</h2>

Step-by-step explanation:

        First alloy contains 34% copper and the second alloy contains 48% alloy.

We wish to make 46 pounds of a third alloy containing 37% copper.

       Let the weight of first alloy used be x in pounds and the weight of second alloy used be y in pounds.

       Total weight = 46\text{ }pounds=x+y        -(i)

      Total weight of copper = 37\%\text{ of 46 pounds = }34\%\text{ of }x\text{ pounds + }48\%\text{ of }y\text{ pounds }

       \dfrac{37\times 46}{100}=\dfrac{34x}{100}+\dfrac{48y}{100}\\\\ 34x+48y=1702        -(ii)

       Subtracting 34 times first equation from second equation,

34x+48y-34x-34y=1702-34\times46\\14y=138\\y=9.857\text{ }pounds \\x=36.143\text{ }pounds

∴ 36.14 pounds of first alloy and 9.86 pounds of second alloy were used.

5 0
3 years ago
Select the correct answer. Which expression is equivalent to x + y + x + y + 3(y + 5)? A. 2x + 5y + 5 B. 2x + y + 30 C. 2x + 5y
Svetradugi [14.3K]

Answer:

c

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Simplify the following expression as much as possible 4^10 divided by 4^10 . 7^0
nikklg [1K]

Answer:

  • 1

Step-by-step explanation:

<u>Simplify</u>

  • 4^10 divided by 4^10 . 7^0
  • 4^10/(4^10*7^0) =
  • 4^10/4^10 =
  • 1
8 0
3 years ago
Read 2 more answers
HELP ASAP PLEASE!!!!
DENIUS [597]

Answer:

q=(1,5) t=(-2,3)r=(3,-1)s=(0,0)

Step-by-step explanation:

6 0
3 years ago
A new car battery is sold with a two-year warranty whereby the owner gets the battery replaced free of cost if it breaks down du
Mariana [72]

Answer:

4.01% probability that the battery will break down during the warranty period

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 = 45, \sigma = 12

a. What is the probability that the battery will break down during the warranty period

Warranty of 2 years = 24 months. So this is the pvalue of Z when X = 24.

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

Z = \frac{24 - 45}{12}

Z = -1.75

Z = -1.75 has a pvalue of 0.0401

4.01% probability that the battery will break down during the warranty period

7 0
3 years ago
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