the average of three numbers is 1/5. Two of the numbers are 1/4 and 1/3. what is the third number?

Answers

Answer 1

Answer:

The third number is 1/60

Step-by-step explanation:

Let the denominator of the number = x

1/4 + 1/3 + 1/x = 1/5

1/4 + 1/3 = 3/12 + 4/12 = 7/12

The lowest common denominator is 60x.

(7/12 + 1/x)/3 = 1/5        Remember that this is the average of 3 numbers. That's what the 3 is doing on the left. Multiply both sides by 3

7/12 + 1/x = 3/5            Multiply through by 60x

35x + 60 = 36x

x = 60

Very nice problem. Thanks for posting.  This problem is a little involved. If you have trouble with it, leave a note in the comments and I'll come back and discuss it.


Related Questions

Lines AB and CD are straight lines. Find x and y. Give reasons to justify your solutions.

Answers

Answer:

1) x = 14°, y = 5°

2) x = 18.5°, y = 37°

Step-by-step explanation:

1) ∠AOC and ∠BOD are vertical angles, then ∠BOD = 25°

∠MOD = ∠MOB + ∠BOD = 90°

3x + 23° + 25° = 90°

3x = 90° - 23° - 25°

x = 42°/3

x = 14°

∠LOB = ∠LOM + ∠MOB = 90°

5y + 3x + 23° = 90°

5y = 90° - 23° - 3(14°)

y = 25°/5

y = 5°

2) ∠AOC and ∠BOD are vertical angles, then ∠BOD = 16°

∠EOB = ∠EOD + ∠DOB =  90°

2y + 16° = 90°

y = (90° - 16°)/2

y = 37°

∠DOF = ∠BOF + ∠DOB =  90°

4x + 16° = 90°

x = (90° - 16°)/4

x = 18.5°


PLEASE HELP !! ILL GIVE BRAINLIEST !!

Answers

Answer:

7,6 .   5,8 .   2,3 .    1,4

Step-by-step explanation:

Vertical angles are angles opposite to each other when a line cuts through an angle. my answer supports it

What is the solution to the system of equations?
y = 1/3x-10
2x + y = 4

Answers

Answer: x = 6, y = -8

Answer:

y=-8, x=6

Step-by-step explanation:

Hope this helped!!!

A coin is flipped 50 times and lands on heads 28 times. What is the theoretical probability that the coin will land on heads on the next flip?
A) 32%
B) 50%
C) 56%
D) 64%

Answers

C, because half of 50 is 25 therefore since it has landed on the head 28 which is a little bit more means the answer is gonna be a little more than 50%

Which is the graph of the inequality? 3y−9x≥9

Answers

Answer:

Which is the graph of the inequality? 3y−9x≥9

Step-by-step explanation:

Which is the graph of the inequality? 3y−9x≥9

what is the volume of the pyramid shown below? 6 11 11
A. 363 cu. units
B. 396 cu. units
C. 726 cu. units
D. 242 cu. units​

Answers

The answer is C I had that same test question

someone anwser this please​

Answers

486/6 = 81
Square root 81 = one side length = 9m volume = 9^3 = 729

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Done
LESSON 6 SESSION 1
Rectangular paintings hang on the wall of an art gallery.
One painting has an area of 24 ft. Another painting has an
area of 32 ft. The paintings have whole-number side lengths
and have one pair of side lengths in common.
a. What could the common side length be? Show your work.
C
SOLUTION
b. Check your answer to problem 3a. Show your work

Answers

Step-by-step explanation:

I don't really understand. Comment the question without "lesson/session/cancel/done" bc it's ALL confusing

The common side length of the rectangular paintings on the wall that having area of 24ft and 32ft  is 8 feet.

How to find side length ?

There are numerous methods for calculating the length of a rectangle. If you have an area A and a width w, the length w is calculated as h = A/w. If you know the perimeter P and the width w, you can calculate the length h = P/2w.

The area of any quadrilateral can be calculated by multiplying its base length by its height. We know that all sides are equal length because the shape is square. Working backwards, we can find the length of one side by taking the square root of the area.

The given parameters are

Area of painting 1 = 24 square feet

Area of painting 2 = 32 square feet

Express the areas as the product of their factors

So, we have

24 = 2 * 2 * 2 * 3

32 = 2 * 2 * 2 * 4

Multiply the common factors

Common factors =2 * 2 * 2

Evaluate the product

Common factors = 8

This represents the common side length

Hence, the common side length of the paintings is 8 feet

To learn more about Side length refer :

https://brainly.com/question/24487155

#SPJ2

18.0 x 9 but with a decimal

Answers

when calculated your answer is 162

Sonya measured her pet mouse from the tip of its nose to the tip of its tail. Her mouse is fourteen hundredths of a meter long. Which of the following expresses this length as a decimal? A 0.014 0.14 C1.4 14.00​

Answers

Answer:

A 0.014

Hope this helps!!!!

Tiffany has a 30% chance of winning a game. She uses random numbers to simulate a series of 7 games. In her simulation, the numbers 0–2 represent a win, and the numbers 3–9 represent a loss. Select all the trials whose results show 3 wins in 7 games played. A. 8531905 B. 4963184 C. 7269108 D. 0689271 E. 7042351 F. 9094562​

Answers

Answer:

C. 7269108

D. 0689271

E. 7042351

Step-by-step explanation: If the number is 0,1 or 2, it is a win.  Otherwise, it is a loss.  Each number is a match.

Use this model to calculate
3/8×2/6

Answers

Answer:

0.1249

Step-by-step explanation:

that's what answer my calculator gives me. Hope that helped. <3

xoxo

Answer:

6/48 or 1/8 when simplified

Step-by-step explanation:

Advanced Calculation Question:
Your patient weighs 150 kg. The ordered dose is 3 mEq/kg/hour to be given over 1 hour. The available
the medication is 1 mEq/mL. Over a one hour period _mL will be administered.

Answers

Your answer: 450mL will be administered

150 kg, and 3mEq for each kg every hour. We can ignore the hour part, since it’s only 1 hour they’re looking for.

3mEq for each kg means 3 x 150 = 450 mEq total.

Since the concentration is 1mEq/1mL, we need 450mL.

Does that all make sense? Let me know if you have any questions.

Trey measured the mass of some pebbles what is

Answers

I think it will be 5 because as soon as you past 4 it goes to half, so you count all the dots in the area because it is a dot plot and that is how you get 5. Hope this helps! Mark brainly please!

How could you design an experiment to support the claim that people who watch television for at least 2 hours every night have lower energy in the evening than people who do not watch as much television Include any factors or steps that should be considered .​

Answers

Step-by-step explanation:

Several ways in which television can disrupt or alter sleep patterns:

The blue light emitted by screens can interfere with your brain’s production of melatonin at night, making it harder for you to fall asleep. Exciting or disturbing content can switch your mind into high gear, making it harder to wind down, and harder to sleep deeply. The timing of television viewing may push back bedtime and contribute to sleep disturbances -- including sleep-related anxieties and difficulty falling asleep. Having a television in the bedroom can undermine your ability to sleep well. Extended viewing may lead to sleep loss, poor quality sleep, and daytime tiredness.

People who don't watch Television won't have these problems.

Find the area of the kite

Answers

4x3=12, 4x8=32, 32+12= 44m is your answer

PLEASE ANSWER ILL GIVE BRAINLY

Answers

Answer:

Step-by-step explanation:

A


PLEASE HELP !! ILL GIVE BRAINLIEST !!

Answers

Answer:

<TUX and <YXU

Step-by-step explanation:

:))))))))))


- What is the common difference of the AP 11,-1,-13, -25, ... ?

Answers

Answer:

-12 is the common differences

I believe it would be -12 I’m not sure tho

I have no idea what to do, please help ​

Answers

Answer: Im confused just like you.

Step-by-step explanation: My teacher gave me that question too.

At Ralphs Italian Ices, 145 sundaes were sold in June. Sales were up 23% in July. How many sundaes were sold in July?​

Answers

Answer:

I Think 178

Step-by-step explanation:

What’s the correct answer for this question?

Answers

Answer:

choice 4) -3x = 4y

Step-by-step explanation:

-3(-4) = 4(-3)

12 ≠ -12

Answer:

-3x=4y

Step-by-step explanation:

if u do that equation it would equal 12=-12

im stuck on this question ​

Answers

Answer:

y-intercept = ( 0,0.4)

x-intercept = ( 0.3,0)

Step-by-step explanation:

By inspection from the given graph

Answer:

y-int = (0,.4)

x-int = (.3,0)

Find the value of x for which pll q.
JA) 9
B) 15
C) 5
D) 10

Answers

Answer:

i don't get the question

Step-by-step explanation:

AC || BD||AB||CD and AC | CD

Answers

Answer:

Ac

i dont know i need points

so hope it helps

Parts being manufactured at a plant are supposed to weigh 65 grams. Suppose the distribution of weights has a Normal distribution with mean 75 grams and a standard deviation of 22 grams. Quality control inspectors randomly select 144 parts, weigh each, and then compute the sample average weight for the 144 parts. Find The probability that the mean weight of these 144 parts is more than 80 grams or less than 70 grams is (Round to two decimals throughout and write as a % to 2 decimal places)

Answers

Answer:

0.64%.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

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 p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 75 grams and a standard deviation of 22 grams.

This means that [tex]\mu = 75, \sigma = 22[/tex]

Sample of 144:

This means that [tex]n = 144, s = \frac{22}{\sqrt{144}} = 1.8333[/tex]

More than 80 or less than 70:

Both are the same distance from the mean, so we find one probability and multiply by 2.

The probability that it is less than 70 is the pvalue of Z when X = 70. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{70 - 75}{1.8333}[/tex]

[tex]Z = -2.73[/tex]

[tex]Z = -2.73[/tex] has a pvalue of 0.0032

2*0.0032 = 0.0064.

0.0064*100% = 0.64%

The probability is 0.64%.

A figure maps to another figure using one or more translations, reflections, or rotations. What must be true about the two figures?


A. The figures are congruent.


B. The figures are not rigid.


C. The figures have dilated or stretched.


D. The figures are regular polygons.

Answers

Answer:

a

Step-by-step explanation:

The answer is abbbnnnnnnnn

The box fill weight of Frosted Flakes breakfast cereal follows a normal distribution with a mean of 9.75 ounces and a standard deviation of 0.27 ounces. A sample of 25 boxes filled this morning showed a mean of 9.85 ounces. At the 0.05 significance level, can we conclude that the mean weight is more than 9.75 ounces per box

Answers

Answer:

Since the calculated value of z= 0.0185 does not lie in the critical region we conclude that  the mean weight is less and equal  to 9.75 ounces per box and accept the null hypothesis.

Step-by-step explanation:

Let the null and alternate hypothesis be

H0:  u ≤ 9.75   against the claim Ha: u > 9.75

Here

Population mean= u= 9.75

Standard deviation= 0.27 ounces

Sample mean= x`= 9.85

Significance level [tex]\alpha[/tex]= 0.05

Using z- test

z= x`-u/s/√n

z= 9.85-9.75/0.27/√25

z= 0.1/5.4

z= 0.0185

The critical region for 1 tailed test at 0.05= z > ±1.645

Since the calculated value of z= 0.0185 does not lie in the critical region we conclude that  the mean weight is less and equal  to 9.75 ounces per box and accept the null hypothesis.

5.23 - 22x2 – 177 + 17
T5​

Answers

Answer:

-198.77

Step-by-step explanation:

don't know what the t5 mean though here is your answer not including the T5

Simplify:


8x4 - 3x - 7 = [?]


x=1



AND FOR GOD SAKE NO BOTS NO PEOPLE WANTING POINTS AND NO TROLLS!!!

Answers

The answer is 4 just substitute

Answer:

[tex]8( - 1) {}^{4} - 3( - 1) - 7 = ( - 8) {}^{4} + 3 - 7 = - 4096 + 3 - 7 = - 4100[/tex]

-4100

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