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erik [133]
3 years ago
11

two pens and one eraser cost 35.00 and three pencils and four erasers costs 65.00. find the cost of the pencil and eraser separa

tely.​
Mathematics
1 answer:
anzhelika [568]3 years ago
3 0

Answer:

Step-by-step explanation:

You start with creating let statements.

Let x = the cost of each pencil.

Let y = the cost of each eraser.

Let z= the cost of each pen.

Then, you’d fill in information from the problem.

3x + 4y = 65

2z + y = 35

Now, you’d solve like a system of equations; meaning you can do elimination or substitution.

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Svetlanka [38]

Answer:

Option B is the right choice.

Step-by-step explanation:

Given:

An are CE and an inscribed angle CBE.

Measure of inscribed angle CBE = 25 °

We have to find the measure of the arc CE.

Concept:

  • An inscribed angle is an angle with its vertex on the circle.
  • The measure of an inscribed angle is half the measure the intercepted arc.
  • Measure of inscribed angle = 1/2 × measure of intercepted arc .

To find the measure of arc CE.

⇒ \angle CBE = \frac{1}{2} \times m\ (arc\ CE)

⇒ 2\times \angle CBE = m\ (arc\ CE)

⇒ 2\times 25 = m\ (arc\ CE)

⇒ 50 = m\ (arc\ CE)

Measure of intercepted arc CE = 50 degrees.

The measure of arc CE = 50° so, option B is the right choice.

4 0
3 years ago
What is the first step in solving quadratic equations by finding square roots? a. give the positive and negative answer C. b. is
tangare [24]

The first step in solving quadratic equations by finding square roots is; C:square root both sides to isolate x

<h3>How to solve quadratic equations?</h3>

To answer this question, we will take an example of a quadratic equation that we need to find the square root as;

x² = 36

Now, to get the roots which are the values of x, we will first have to take the square root of both sides to Isolate x. Thus;

√x² = √36

x = ±6

Read more about quadratic equations at; brainly.com/question/1214333

#SPJ1

6 0
2 years ago
Solve 5r+2r/p=3t-1/m for r
ICE Princess25 [194]

Step-by-step explanation:

please mark me as brainlest

7 0
3 years ago
Read 2 more answers
After the Civil War, the era known as Reconstruction began. During this era, the federal government tried to grant rights to for
nikdorinn [45]

Answer:

D.

Step-by-step explanation:

Here is where the answer is mentioned: "After the Civil War, the era known as Reconstruction began. During this era, the federal government tried to grant rights to former slaves and rebuild the South."

8 0
2 years ago
An article reports that 1 in 500 people carry the defective gene that causes inherited colon cancer. In a sample of 2500 individ
Ne4ueva [31]

Answer:

The approximate distribution of the number who carry this gene is approximately normal with mean \mu = 5 and standard deviation \sigma = 2.23

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they carry the defective gene that causes inherited colon cancer, or they do not. The probability of a person carrying this gene is independent from other people. So the binomial probability distribution is used to solve this question.

A sample of 2500 individuals is quite large, so we use the binomial approximation to the normal to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples can be solved using 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.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

An article reports that 1 in 500 people carry the defective gene that causes inherited colon cancer.

This means that p = \frac{1}{500} = 0.002

In a sample of 2500 individuals, what is the approximate distribution of the number who carry this gene?

n = 2500

So

\mu = E(X) = np = 2500*0.002 = 5

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{2500*0.002*0.998} = 2.23

So the approximate distribution of the number who carry this gene is approximately normal with mean \mu = 5 and standard deviation \sigma = 2.23

4 0
3 years ago
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