Two times the reciprocal of a number equals 16 times the reciprocal of 20. Find the number. (1 point)

Answers

Answer 1

Let the number be x .

Reciprocal of x :-

[tex] = \frac{1}{x} [/tex]

An equation to find x :-

[tex]2 \times \frac{1}{x} = 16 \times \frac{1}{20} [/tex]

[tex] \frac{2}{x} = \frac{16}{20} [/tex]

[tex]16 \times x = 20 \times 2[/tex]

[tex]16x = 40[/tex]

[tex]x = \frac{16}{40} [/tex]

[tex]x = \frac{4}{10} [/tex]

[tex]x= \frac{4 \div 2}{10 \div 2} [/tex]

[tex]x = \frac{2}{5} [/tex]

Reciprocal of x :-

[tex] = \frac{5}{2} [/tex]

Which means the number :-

[tex] = \frac{5}{2} [/tex]

We can check it by :-

[tex]2 \times \frac{2}{5} = \frac{16}{20} [/tex]

[tex] \frac{4}{5} = \frac{16}{20} [/tex]

[tex] \frac{4}{5} = \frac{16 \div 4}{20 \div 4} [/tex]

[tex] \frac{4}{5} = \frac{4}{5} [/tex]

LHS = RHS

Which means we have found the correct number .

Therefore , the value of the number , whose reciprocal multiplied by 2 gives 16 times the reciprocal of 20 is :-

[tex] = \frac{5}{2} [/tex]

Related Questions

I’ll give you brainly thingy just help me

Answers

Answer:

4

Step-by-step explanation:

The total amount of time University students in the United States spend sleeping,grooming,eating and drinking and traveling is about?

Answers

Answer:

11.7 hours

Step-by-step explanation:

According to data gathered between the years of 2015-2020 from full-time University Students at various Universities throughout the US, it was discovered that they spend roughly 11.7 hours completing these tasks (sleeping, grooming, eating/drinking, and traveling) per day. This applies strictly to full-time University Students that have the responsibilities associated with that life such as studying, attending class, group projects, etc. and does not include extra activities such as cooking.

Can you help me i wil give you a branlist and please help me

Answers

Answer:

i love free points dont you

Question
An amount of $290,000 is borrowed for a period of 25 years at an interest rate of 4%. The amortization schedule for this
loan is below. Payments of $1,530.73 are made monthly.
Payment #
1
2
Payment Interest
1,530.73 966.67
1, 530.73964.79
1.530.73 962.90
Debt Payment
564.06
565.94
567.83
Balance
289, 435.94
288, 870.00
288, 302.17
3
4
X
5
Calculate x,the balance on the loan at the end of month 4. Give your answer to the nearest dollar. Do not include commas
or the dollar sign in your answer.
Provide your answer below:

Answers

The Answer is

$287732

I wish you all the best of luck

Point A is located at negative 6 over 8 and point B is located at negative 1 over 8. What is the distance between points A and B? negative 6 over 8 plus negative 1 over 8 = negative 7 over 8; therefore, the distance from A to B is absolute value of negative 7 over 8 equals negative 7 over 8 units negative 6 over 8 plus negative 1 over 8 = negative 7 over 8; therefore, the distance from A to B is absolute value of negative 7 over 8 equals 7 over 8 units negative 6 over 8 minus negative 1 over 8 = negative 5 over 8; therefore, the distance from A to B is absolute value of negative 5 over 8 equals negative 5 over 8 units negative 6 over 8 minus negative 1 over 8 = negative 5 over 8; therefore, the distance from A to B is absolute value of negative 5 over 8 equals 5 over 8 units

Answers

Given:

Point A is located at [tex]-\dfrac{6}{8}[/tex].

Point B is located at [tex]-\dfrac{1}{8}[/tex].

To find:

The distance between points A and B.

Solution:

We know that,

Distance between points A and B = Location of A - Location of B

Using this given values, we get

Distance between points A and B [tex]=-\dfrac{6}{8}-\left(-\dfrac{1}{8}\right)[/tex]

                                                        [tex]=-\dfrac{6}{8}+\dfrac{1}{8}[/tex]

                                                        [tex]=\dfrac{-6+1}{8}[/tex]

                                                        [tex]=-\dfrac{5}{8}[/tex]

Distance cannot be negative. So, we need to find the absolute value of [tex]-\dfrac{5}{8}[/tex].

[tex]|-\dfrac{5}{8}|=\dfrac{5}{8}[/tex]

The distance between A and B is [tex]\dfrac{5}{8}[/tex].

Therefore, the correct option is D.

A baseball diamond is a square with sides 90 ft long. A batter is at bat, with runners at first and second base. At the moment the ball is hit, the runner at first base runs to second base at 25 ft/s. Simultaneously, the runner on second base runs to third base at 15 ft/s. How fast is the distance between these two runners changing 2 s after the ball is hit?

Answers

Answer:

It is changing at -11 ft

Step-by-step explanation:

The distance d is given by

d = √x²+(90-y)²

We have to differentiate

dy/st = 25ft

dx/dt = -15ft

The question says after 2 seconds

Y = 25x2 = 50ft

X = -15x2 = -30ft

Then we calculate rate of change of distance. From the calculations I did, I arrived at

(1/2√900+1600).[900-2000]

= -1100/2x50

= -1100/100

= -11ft

Please check attachment to help you understand the answer better as it is more detailed.

The distance between these two runners changing 2 s after the ball is hit 11 ft

What is differentiation?

The rate of change of a function with respect to the variable is called differentiation. It can be increasing or decreasing.

A baseball diamond is a square with sides 90 ft long.

A batter is at bat, with runners at first and second base.

At the moment the ball is hit, the runner at first base runs to second base at 25 ft/s.

Simultaneously, the runner on second base runs to third base at 15 ft/s.

The distance d is given by

[tex]\rm d = \sqrt{x^{2} +(90-y)^2}[/tex]

We have to differentiate

[tex]\rm \dfrac{dy}{st} = 25 \ ft\\\\\dfrac{dx}{dt} = -15 \ ft[/tex]

The question says after 2 seconds

[tex]\rm Y = 25x ^2 = 50 \ ft\\\\X = -15x^2 = -30 \ ft[/tex]

Then we calculate the rate of change of distance will be

[tex]\rm \dfrac{1 }{2\sqrt{900 + 1600}} * (900 - 2000) = \dfrac{-1100}{2*50} = \dfrac{-1100}{100} = -11\ ft[/tex]

More about the differentiation link is given below.

https://brainly.com/question/24062595

0.8 kg is more or less than 0.6 kg

Answers

Answer:

More than

Step-by-step explanation:

Answer:

More

Step-by-step explanation:

What is the answer for number 6

Answers

Answer:

x=6

Step-by-step explanation:

x−7=13

Step 1: Add 7 to both sides.

x−7+7=13+7

x=20

Answer:

x=20

A line passes through (2, 7) and has a slope of -4. What is its equation in point-slope form?


Sorry I'm bad

Answers

Answer:

y= (-4/1)x -1

Step-by-step explanation:

Find the remainder when
f(x) = 8x^3 + 4x^2 – 13x + 3

is divided by 2x + 5.

A. 1241/125

B. -129/2

C. 69/125

D. 183

Answers

Dividing f(x) by 2x + 5 leaves the same remainder as division by x + 5/2. By the remainder theorem, it is equal to f (-5/2), so the remainder here is

f (-5/2) = 8 (-5/2)³ + 4 (-5/2)² - 13 (-5/2) + 3 = -129/2

Samantha estimates the product of 925 x 38 as 36,000. Without computing the exact answer, is her estimate reasonable? Explain

Please help ASAP

Answers

it is 678887775555 free points

What are the values for a and b?

Answers

Answer:

a= 10 b= 6

Step-by-step explanation:

When multiplying exponents they should be added together and when dividing they should be subtracted from each other.

2+8=10 & 10-4= 6

Ddghhhdww a12:-689fggggfa ehh

Comparing Two Linear Functions Use the graph and table to answer the questions. Which vehicle loses the most value each year? Car: 20 000 (2. 16500) 15 000 (G, 10900) Which vehicle will lose all of its value first? Value ($) 10.000 5000 6 8 If the truck's rate of depreciation changes to a decrease of $1,650 each year, which vehicle will lose all of its value first? Years Truck: Years: x Value ($) y 21,000 3 17,700 6 14.400

Answers

Answer:

Use the graph and table to answer the questions.

Which vehicle loses the most value each year?

Car

Which vehicle will lose all of its value first?

Car

If the truck’s rate of depreciation changes to a decrease of $1,650 each year, which vehicle will lose all of its value first?

Truck

Step-by-step explanation:

Answer:

car car truck

Step-by-step explanation:

34 full. He uses 16 of a full tank’s gas per day driving to and from work.

How many days can Drew drive to work with the gas he has in the tank?

Answers

He can go one day with the gas he has

57
(c)
=

Find the following inverse of the function.

Answers

Answer:

Can you format this a little better?

The base area of a right circular cone is 1/4 of its total surface area. What is the ratio of the radius
to the slant height?

Answers

Given:

The base area of a right circular cone is [tex]\dfrac{1}{4}[/tex] of its total surface area.

To find:

The ratio of the radius  to the slant height.

Solution:

We know that,

Area of base of a right circular cone = [tex]\pi r^2[/tex]

Total surface area of a right circular cone = [tex]\pi rl+\pi r^2[/tex]

where, r is radius and l is slant height.

According to the question,

[tex]\pi r^2=\dfrac{1}{4}(\pi rl+\pi r^2)[/tex]

Multiply both sides by.

[tex]4\pi r^2=\pi rl+\pi r^2[/tex]

[tex]4\pi r^2-\pi r^2=\pi rl[/tex]

[tex]3\pi r^2=\pi rl[/tex]

Cancel out the common factors from both sides.

[tex]3r=l[/tex]

Now, ratio of the radius  to the slant height is

[tex]\dfrac{r}{l}=\dfrac{r}{3r}[/tex]

[tex]\dfrac{r}{l}=\dfrac{1}{3}[/tex]

Therefore, the ratio of the radius  to the slant height is 1:3.

Let x be a discrete random variable that possesses a binomial distribution with n=5 and p=0.87. What are the mean and standard deviation of this probability distribution? Round your answers to three decimal places, if required.

Answers

Answer:

[tex]Mean = 4.35[/tex]

[tex]SD = 0.5655[/tex]

Step-by-step explanation:

Given

[tex]n = 5[/tex]

[tex]p = 0.87[/tex]

Solving (a): Mean

[tex]Mean = np[/tex]

[tex]Mean = 5 * 0.87[/tex]

[tex]Mean = 4.35[/tex]

Solving (b): Standard Deviation (SD)

[tex]SD = np(1 - p)[/tex]

[tex]SD = 5 * 0.87(1 - 0.87)[/tex]

[tex]SD = 5 * 0.87 * 0.13[/tex]

[tex]SD = 0.5655[/tex]

There are 400 boys at Oak Middle school and 12% play football. What is a reasonable number of boys that play football?

Answers

400 is the total number of boys so 12% of 400 would be 48 boys

400*12/100= 48

Answer:

About 48 students play football

Step-by-step explanation:

400 times 12% is 48

The veterinarian
has seen 47 dogs, 19 cats, 7 exotic birds, and
3 horses this week. Complete the bar diagram
and find the total number of animals seen by
the veterinarian this week.

Answers

Answer:

76 animals

Step-by-step explanation:

47+19+7+3= 76 animals.

n f(x) =10-2( x ), Solve when given f(12) function notation

Answers

Answer:

-14

Step-by-step explanation:

[tex]10 - 2(12) = - 14[/tex]

Based only on the given information, it is guaranteed that AD = DB

Answers

Answer: True

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

Which of the following numbers can be expressed as repeating decimals?

5 over 7 , 4 over 5 , 7 over 9 , 5 over 8 help plz

Answers

Answer:

7/9

Step-by-step explanation:

When 7/9 is put as a decimal then its 0.777777. This makes it a repeating decimal.

Answer:
7 over 9 would be expressed as the repeating decimal.

Explanation:
7 divided by 9 is 0.777777778

Video games made up 77.8% of the total revenue for a small specialty store.
A) 0.0778 B) 7.78 C) 77.8
D) 0.778
Timod at home while attending classes

Answers

Answer:

D

Step-by-step explanation:

This is saying 77.8% percent out of 100, therefore we right it like D

I hope this helped, please mark Brainliest, thank you!

Find the 'x' coordinate of the vertex of the equation
-4x2 + 7x - 3= 0.

Answers

Answer: 7/8

Step-by-step explanation:

what is equal to the value of |-28|? *

Answers

Answer:

0 - 28 = -28

Step-by-step explanation:

To find a negative number, you can always just take 0, and subtract the positive version of the negative number from 0.

In a study by Peter D. Hart Research Associates for the Nasdaq Stock Market, it was
determined that 20% of all stock investors are retired people. In addition, 40% of all U.S. adults invest in mutual funds. Suppose a random sample of 25 stock investors is taken What is the probability that fewer than 4 are retired people

Answers

Answer:

a) 0.1108

(b) 0.0173

Step-by-step explanation:

We are given that 20% of all stock investors are retired people. A random sample of 25 stock investors is taken.

Firstly, the binomial probability is given by;

where, n = number of trails(samples) taken = 25

r = number of successes

p = probability of success and success in our question is % of

retired people i.e. 20%.

Let X = Number of people retired

(a) Probability that exactly seven are retired people = P(X = 7)

P(X = 7) =

= = 0.1108

(b) Probability that 10 or more are retired people = P(X >= 10)

P(X >= 10) = 1 - P(X <= 9)

Now, using binomial probability table, we find that P(X <= 9) is 0.98266 at n = 25, p = 0.2 and x= 9

So, P(X >= 10) = 1 - 0.98266 = 0.0173.

PLEASE HELP WILL GIVE BRAINLIEST AND 20 POINTS!

what is the rate of change of

0.860, 3.302

Answers

What are the x coords? The only answer I might be able to give is .86-3.302=-2.442

Suppose that cot θ = c and 0 < θ < π 2 . what is a formula for cos θ in terms of c?

Answers

Answer:

cosθ = c/√1+c²

Step-by-step explanation:

Given cot θ = c and 0 < θ < π/2

In trigonometry identity:

cotθ  = 1/tanθ = c

1/tanθ = c

cross multiply

tanθ  = 1/c

According to SOH, CAH, TOA:

Tanθ = opposite/adjacent = 1/c

cosθ = adjacent/hypotenuse

To get the hypotenuse, we will use the pythagoras theorem:

hyp² = opp²+adj²

hyp² = 1²+c²

hyp = √1+c²

Find cosθ in terms of c

cosθ = c/√1+c²

Hence the formula for cos θ in terms of c is cosθ = c/√1+c²

A rectangular piece of land has an area of 3/4 square mile.The land is 2 1/2 miles long what is its width

Answers

Answer:

width = 3/10 mi

Step-by-step explanation:

area = length * width

width = area/length

width = (3/4 mi^2)/(2 1/2 mi)

width = (3/4 mi^2)/(5/2 mi)

width = 3/4 * 2/5 mi

width = 6/20 mi

width = 3/10 mi

You are creating bracelets and then selling them to your friends at a 85% markup rate. If it costs you $1.80 to create the bracelet, how much of a markup will you add to the bracelet?

Answers

Answer:

you will add $1.53 to every bracelet you make

Step-by-step explanation:

figure out what 85 percent of 1.80 is and then add that to 1.80 for the total price

85% x 1.8 = 1.53 (markup ammount)

1.80 + 1.53 = 3.33 (total cost)

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