All categories

2 years ago

If 1/2 is subtracted from four times the reciprocal of a number, the result is 0. Find the number.

Mathematics

1 answer:

Maurinko [17]2 years ago

8 0

Answer:

The Number is 8.

Step-by-step explanation:

Let the number be x.

Given:

1/2 is subtracted from four times the reciprocal of a number, the result is 0.

Hence the equation will become like;

$4\times \frac{1}{x} - \frac{1}{2}=0$

Now Solving the equation we get.

$\frac{4}{x} -\frac{1}{2}=0\\\\\frac{4}{x} = \frac{1}{2}\\\\x= 4\times 2\\x=8$

Now the we can see the number is 8, when 1/2 is subtracted from 4 times the reciprocal of number means 4/8 which becomes 1/2 and hence when 1/2 is subtracted from 1/2 it equals to 0.

Hence the number is 8.

You might be interested in

A scientist selected a random sample of seven varieties of peach ice cream to investigate the relationship between the density,

ValentinkaMS [17]

Answer:

The significance test that would be used to investigate whether there is convincing evidence at 0.05 level of significance that a greater percent of peaches in the ice cream is associated with an increase in the density of the ice cream is option C;

C. A linear regression t-test for slope

Step-by-step explanation:

The linear regression t-test for slope is a test for determining the existence of a statistically significant linear relationship between two variables, a independent variable, X and an dependent variable Y in the following form;

Y = B₀ + B₁·X

The test is used to test the regression line slope where we have;

B₀ = The constant

B₁ = The slope also known as the regression coefficient

The given information tested in the question is if an increase in the peaches in the ice cream is associated with an increase in the density of the ice cream, therefore, the test to investigate the relationship between the rate of both variables is the linear regression t-test for slope.

Therefore, we have

Y = B₀ + B₁·X

Where;

X = The percentage of peaches in the ice cream

Y = The density of the ice cream

7 0

2 years ago

What is the answer to the question

Simora [160]

One side: y+4
Second side: y+4+2=y+6
Third side: 2(y+4)-3= 2y+8-3= 2y-5
Perimeter = y+4+y+6+2y-5= 4y+5

3 0

3 years ago

What's 20000 times a million thousand

shutvik [7]

20000 times a million thousand it equal 20000000000

4 0

3 years ago

You receive two job offers. One offers a straight commission of 6% of sales. The other offers a salary of $500 per week plus 3%

Gnesinka [82]

Answer: $16, 666.67

<u>Step-by-step explanation:</u>

Job 1: 0.06x

Job 2: 0.03x + 500

0.06x > 0.03x + 500

0.03x > 500

$x > \dfrac{50000}{3}$

x > 16,666.67 <em>rounded to the nearest penny</em>

4 0

3 years ago

Complete the statement, and find the value of x in the diagram. A trapezium with two opposite angles is labeled as 101 degrees.

geniusboy [140]

The complete statement about the quadrilateral is, the quadrilateral shown is a kite and the value of x is 3

<h3>What are quadrilaterals?</h3>

Quadrilaterals are shapes that have four sides and four angles.

The four sides may or may not be congruent, and at the same time the four angles may or may not be congruent

<h3>How to determine the value of x?</h3>

The image that completes the question is added at the end of this solution as an attachment

From the attached figure, we have the following highlights

Opposite angles of the quadrilateral are congruent
Adjacent sides of the quadrilateral are congruent

This means that:

AD = DC

AB = BC

The quadrilateral shown is a kite

So, we have the following congruent angles:

ADB = CDB

Substitute the measure of both angles

11x = 9x + 6

Subtract 9x from both sides

3x = 6

Divide both sides by 2

x = 2

Hence, the complete statement about the quadrilateral is, the quadrilateral shown is a kite and the value of x is 3