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3 years ago

Given three consecutive integers with a sum of four times the second number, write an algebraic equation for this situation

1 answer:

5 0

<u>Define x:</u>

Let the first number be x.

1st number = x
2nd number = x + 1
3rd number = x + 2

<u>Construct equation:</u>
x + x + 1 + x + 2 = 4(x + 1)
3x + 3 = 4(x + 1)

Answer: 3x + 3 = 4(x + 1)

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Of the 50 students in the cafeteria, 7 have red hair. Suppose there are 750 students in the school. Write a proportion that coul

gulaghasi [49]

Given:

Of the 50 students in the cafeteria, 7 have red hair.

Total number of students = 750

To find:

The proportion that could be used to predict the number of students who have red hair.

Solution:

Let x represent the number of students who have red hair.

The ratio of student having red hair to the total number of students are

$Ratio_1=\dfrac{7}{50}$

$Ratio_2=\dfrac{x}{750}$

The number of students having red hair is proportional to the total number of students. So, the above ratios are equal.

$\dfrac{x}{750}=\dfrac{7}{50}$

Multiply both sides by 750.

$\dfrac{x}{750}\times 750=\dfrac{7}{50}\times 750$

$x=7\times 15$

$x=105$

Therefore, the required equation is $\dfrac{x}{750}=\dfrac{7}{50}$ and the number of students who have red hair is 105.

7 0

3 years ago

The force F between two charges Q1 and Q2 in a vacuum is proportional to the product of the charges and is inversely proportiona

dangina [55]

Answer:

<h3>The given statement "The force F between two charges $Q_1$ and $Q_2$ in a vacuum is proportional to the product of the charges and is inversely proportional to the square of the distance between two charges" is a <u>Coulomb's law.</u></h3>

Step-by-step explanation:

Given that "The force F between two charges $Q_1$ and $Q_2$ in a vacuum is proportional to the product of the charges and is inversely proportional to the square of the distance between two charges"

<h3>The given statement is a <u>Coulomb's law.</u></h3>

Coulomb's law states that the magnitude of the electrostatic force F of attraction or repulsion between the two point charges $Q_1$ and $Q_2$ is directly proportional to the product of the magnitudes of charges $Q_1$ and $Q_2$ and it is inversely proportional to the square of the distance between the two charges.

6 0

3 years ago

How to combine two integers

Genrish500 [490]

The simplest approach to do this is:

Convert both numbers to string

Concatenate both strings into one, as this is comparatively easy

Convert this concatenated string back to integer

Step-by-step explanation:

Given two integers n1 and n2, the task is to concatenate these two integers into one integer.

Example:

Input: n1 = 12, n2 = 34

Output: 1234

Input: n1 = 1, n2 = 93

Output: 193

5 0

3 years ago

A python curls up to touch the tip of its own tail with its nose, forming the shape of a circle. The python is 2.6 pie meters lo

pogonyaev

1.3 meters because the radius is half of the diameter, which is 2.6

5 0

3 years ago

alberto knows that all the lines and rays are congruent to each other . he reasons that all segments must therefore be congruent

saw5 [17]

Answer:

Step-by-step explanation:

Alberto is correct in reasoning that all lines and rays are congruent to each other but incorrect in his reasoning about the line segments.

Line segments are equal in measure only when they are equal in length. They can have any orientation on a plane.

Since, AB = 3 units

CD = 4 units

Therefore, AB ≠ CD

Error in AB ≅ CD

7 0

3 years ago