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saw5 [17]
2 years ago
7

Nikhil gets paid a 5 percent commission on every pair of shoes that he sells. He earned $1.00 on the last pair of shoes that he

sold. The expression that can be used to represent x, the price of the shoes, is 0.05x = 1 What was the price of the shoes?
Mathematics
2 answers:
Jlenok [28]2 years ago
7 0
If $1 is 5%, 100% would be $1 times 100/5= $1 times 20 = $20
kherson [118]2 years ago
4 0

Answer:

The price of the shoes is $20.

Step-by-step explanation:

Consider the provided information.

Nikhil gets paid a 5 percent commission on every pair of shoes that he sells. He earned $1.00 on the last pair of shoes that he sold.

The expression that can be used to represent x, the price of the shoes, is 0.05x = 1

Now divide both the side by 0.05.

x=\frac{1}{0.05}

The above equation can be written as:

x=\frac{100}{5}

x=20

Thus, the price of the shoes is $20.

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2 years ago
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What is the equation of a line that is parallel to the line 2x + 5y = 10 and passes through the point (–5, 1)? Check all that ap
Bond [772]

So the right options are:

y=-\frac{2}{5}x-1

2x+5y = -5

y-1=-\frac{2}{5}(x+5)

Further explanation:

Given equation of line is:

2x+5y=10

We have to convert it into point-slope form

2x+5y=10\\5y=-2x+10\\Dividing\ both\ sides\ by\ 5\\y=-\frac{2}{5}x+\frac{10}{5}\\y=-\frac{2}{5}x+2

The co-efficient of x is the slope of the line

So,

m= -\frac{2}{5}

As the required line is parallel to given line, it will also have same slope.

Let m1 be the slope of required line

Then the line will be:

y=m_1x+b

Putting the value of slope

y=\frac{2}{5}x+b

Putting (-5,1) in the equation to find the value of b

1=-\frac{2}{5}(-5)+b\\1=2+b\\b=1-2\\b=-1

Putting the values of slope and b in equation

y=-\frac{2}{5}x-1

Multiplying the whole equation by 5 will give us:

5y = -2x-5

2x+5y = -5

Another form of equation of line is Point-slope form

y-y_1=m(x-x_1)

Putting the values of slope and point in the equation, we get

y-1=-\frac{2}{5}(x+5)

So the right options are:

y=-\frac{2}{5}x-1

2x+5y = -5

y-1=-\frac{2}{5}(x+5)

Keywords: Point-Slope form, Parallel lines

Learn more about point slope form at:

  • brainly.com/question/4464845
  • brainly.com/question/4522984

#LearnwithBrainly

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A doctor recommends a two-step process to treat a rare form of pancreatic cancer. The first method is successful 80% of the time
Rudiy27

Answer:

The answer is 15%.

Step-by-step explanation:

The probability that:

  • Both treatments are successful:

       80% x 90% = 72%

  • The first method is a success, but the second one is not:

        80% x (1 - 90%) = 8%

  • The first method is not successful, but the second one is:

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  • Both treatments are unsuccessful:

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5 0
2 years ago
Assuming a binomial distribution, a production process produces 2% defective parts. A sample of five parts from the production p
Murrr4er [49]

Answer:

0.38% probability that the sample contains exactly two defective parts.

Step-by-step explanation:

For each part, there are only two possible outcomes. Either it is defective, or it is not. The probabilities for each part being defective are independent from each other. So we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

In this problem we have that:

n = 5, p = 0.02

What is the probability that the sample contains exactly two defective parts?

This is P(X = 2)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 2) = C_{5,2}.(0.02)^{2}.(0.98)^{3} = 0.0038

0.38% probability that the sample contains exactly two defective parts.

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The image of a triangle after it has been dilated with a center of dilation at the origin has vertices at A prime(12, –6), B pri
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Answer:

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