1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Oksi-84 [34.3K]
3 years ago
9

The reciprocal of half a number increased by half the reciprocal of the number is 1/2. Find the number

Mathematics
1 answer:
klemol [59]3 years ago
7 0

Answer:

5

Explanation:

Let the number equal x. Half the number is then

x

2

and the reciprocal of that is

2

x

The reciprocal of the number is

1

x

and half that is

1

2

x

then

2

x

+

1

2

x

=

1

2

4

x

+

x

2

x

2

=

1

2

10

x

=

2

x

2

2

x

2

−

10

x

=

0

2

x

(

x

−

5

)

=

0

Zero is not viable solution as its reciprocal is infinity. The answer is therefore

x

=

5

You might be interested in
1)Find the angle of elevation of the sun from the ground when a tree that is
KIM [24]

Answer:

\theta=41.18^{\circ}

Step-by-step explanation:

Given that,

The height of the tree, h = 14 ft

The height of the shadow, b = 16 ft

We need to find the angle of elevation of the sun from the ground. Let the angle be θ. We can use trigonometry to find it. So,

\tan\theta=\dfrac{P}{B}\\\\\tan\theta=\dfrac{14}{16}\\\\\theta=41.18^{\circ}

So, the required angle of elevation of the sun is equal to 41.18^{\circ}.

7 0
3 years ago
Maya takes 6 quizzes every 3 weeks, how many quizzes would she take in 8 weeks?<br><br> help please
iVinArrow [24]

Answer:

16

Step-by-step explanation:

she takes 2 quizzes every week

8 0
2 years ago
Solve the equation y=2x^2-x-6 using the quadratic formula show the steps to solving
saul85 [17]

Answer:

x1 = 2 \\ x2 =  -  \frac{3}{2}

Step-by-step explanation:

x =  \frac{ - b +  -  \sqrt{ {b}^{2} - 4ac } }{2a}  \\ x =  \frac{1 +  -  \sqrt{ {( - 1)}^{2} - 4(2)( - 6) } }{2(2)}  \\ x =  \frac{1 +  -  \sqrt{1  + 48} }{4}  \\ x =  \frac{1 +  -  \sqrt{49} }{4}  \\ x =  \frac{1 +  - 7}{4}  \\  \\ x1 =  \frac{1  + 7}{4}  =  \frac{8}{4}  = 2 \\ x2 =  \frac{1 - 7}{4}  =   - \frac{6 }{4}  =  -  \frac{3}{2}

7 0
3 years ago
Suppose 241 subjects are treated with a drug that is used to treat pain and 54 of them developed nausea. Use a 0.05 significance
lana66690 [7]

Answer:

Null Hypothesis, H_0 : p = 0.20  

Alternate Hypothesis, H_a : p > 0.20  

Step-by-step explanation:

We are given that 241 subjects are treated with a drug that is used to treat pain and 54 of them developed nausea.

We have to use a 0.05 significance level to test the claim that more than 20​% of users develop nausea.

<em>Let p = population proportion of users who develop nausea</em>

So, <u>Null Hypothesis,</u> H_0 : p = 0.20  

<u>Alternate Hypothesis</u>, H_a : p > 0.20  

Here, <u><em>null hypothesis</em></u> states that 20​% of users develop nausea.

And <u><em>alternate hypothesis</em></u> states that more than 20​% of users develop nausea.

The test statistics that would be used here is <u>One-sample z proportion</u> test statistics.

                     T.S. =  \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }   ~ N(0,1)

where,  \hat p = proportion of users who develop nausea in a sample of 241 subjects =  \frac{54}{241}  

             n = sample of subjects = 241

So, the above hypothesis would be appropriate to conduct the test.

6 0
3 years ago
Solve for x: x/-6 = -7
vladimir1956 [14]

Answer: X=42

Step-by-step explanation:

42/-6=-7

-7=-7

3 0
2 years ago
Read 2 more answers
Other questions:
  • Which ordered pair is a solution to this equation? 2x+3y=16 A.) (11, 1)
    10·2 answers
  • Given system <br><br> 2x-4=5<br><br> 5x+4y=2<br><br> Solve for x and y and SHOW ALL OF YOUR WORK
    11·1 answer
  • Help pleasee someone?
    14·2 answers
  • Please help me! i really need help​
    11·1 answer
  • Next week, 150 people are expected to watch the Patriots game at Applebee’s. This would be a 150% increase from last weeks atten
    15·1 answer
  • Number 10 plzz???????
    8·1 answer
  • 7. Suppose you earn $15 for each car you wash. Which function describes the relationship
    6·1 answer
  • What is the result of subtracting X^2-2x+3 from 3x^2+x-2
    7·1 answer
  • HELP I NEED RIGHT ANWSER QUICK!!!
    7·2 answers
  • Point F' corresponds to<br> point D.<br> point E.<br> point F.<br> opoint E.
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!