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

Which ratio represents cos x in the triangle to the right ?

Answers

Answer: 45/53

Step-by-step explanation:

CAH is Adjacent over Hypotenuse

Hurry plsss Plsssss
Which of the following describes the data set?
50, 59, 60, 61, 70, 76, 80
O A. Minimum = 80
First quartile = 60
Median = 60.5
Third quartile = 59
Maximum = 50
B. Minimum = 50
First quartile = 59
Median = 61
Third quartile = 76
Maximum = 80
O C. Minimum = 50
First quartile = 80
Median = 73
Third quartile = 60

Answers

Answer:

B is the correct answer as it qualifies for all the answers correctly.

mrs .velazco gave her students four options to choose from for the class project

Answers

Answer:

Step-by-step explanation:

what are the options

Find the distance between the pair of points (-1, 4) and (-3, 7)

no links

Answers

Answer: d=sqrt(13)=3.605

Step-by-step explanation:

We know that the distance between the two points (x 1  ,y 1 ) and (x2,y  2 ) is

d= sqrt((x2-x1)^2 +(y2-y1)^2 )

as given

x1=-1 ,y=4 ,x2=-3,y2=7

d=sqrt((-3+1)^2+ (7-4)^2)

d=sqrt((-2)^2+(3)^2)

d=sqrt(4+9)

d=sqrt(13)=3.605

the probability that sandra gets a ride to work on any morning is 0.7. the probability that she gets a ride 3 times in a 5-day week is , abd the probability that she gets a ride at least 2 times in a 5-day workweek is .

Answers

Answer: 0.309, 0.969.

Step-by-step explanation: plato answer

Write the first six terms of the arithmetic sequence with the given first​ term, ​, and common​ difference, d.

Answers

9514 1404 393

Answer:

  340, 250, 160, 70, -20, -110

Step-by-step explanation:

The first term is given. Each successive term is found by adding the common difference to the one before.

  [tex]a_1=\boxed{340}\quad\text{given}\\a_2=340-90=\boxed{250}\\a_3=250-90=\boxed{160}\\a_4=160-90=\boxed{70}\\a_5=70-90=\boxed{-20}\\a_6=-20-90=\boxed{-110}[/tex]

Need help thanks don’t understand

Answers

Answer:

You need help with what-?

Solve each system by eliminating one of the variables by addition or
subtraction.

Answers

Answer:

(=^w^=) hope this helps

Step-by-step explanation:

1. (10,2)

2. (2,0)

3. (6,2)

4. (0.5,7.5)

5. (3.3, 0.36)

6. (3.5, 2.5)

Plz help me! Well mark brainliest if correct!

Answers

Answer:

diameter you are learning that the circle as a line in the middle goes across and the diameter

The answer is c the diameter is a line that goes through the shapes such as sphere, cone, and cylinders the most common shapes and the radius is a line that only goes through half of the shape from the center

what is y=mx+b solve for x

Answers

Answer:

equation of a line

Step-by-step explanation:

Answer:

Formula used during line equations

Question 9 of 10 What is the median of the data set represented by the box plot shown below? A. 67 B. 50 O C. 56 D. 45


/please help\

Answers

Answer:

B)  50

Step-by-step explanation:

min = 38

quartile 1 = 45

median = 50

quartile 3 = 67

maximum = 75

There are 20 students in Lynn's class. 12 of the students are in choir and 8 are in band. Write a fraction, in simplest form, to represent the part of the class that is in choir.

Answers

Answer:

3/5

Step-by-step explanation:

i‍♀️‍♀️

Answer:

3/5

Step-by-step explanation:

students in choir - 12

total number of students - 20

students in choir

-------------------------

total no. of students

12

----

20

3

--

5

Mr Lim, who is in Singapore, wants to make a phone call to his client in
Chicago. The local time in Chicago is 14 h behind the local time in Singapore.
If Mr Lim wants to call his client at 7 a.m. (Chicago local time), at what time
(Singapore local time) must he make the call?

Answers

Answer:

5pm

........................

Mr. Lim has to make calls at 5:00  pm if he wants to talk with his client at 7:00 AM in Chicago due to the different time zone.

What are Time Zones?

A time zone is any place that observes the same standard time. For current time zones around the world, see the interactive Time Zone Map.

Given, Mr. Lim, who is in Singapore, wants to make a phone call to his client in Chicago. The local time in Chicago is 14 h behind the local time in Singapore. If Mr. Lim wants to call his client at 7 a.m. (Chicago local time)

Since there is a time difference between the two countries. Mr. Lim has to make calls 14 hours before as per the local time zone

14 hours before 7 AM is 5: 00 PM.

Therefore, Due to the time difference, Mr. Lim must make calls at 5:00 p.m. if he wishes to speak with his client at 7:00 a.m. in Chicago.

Learn more about time zones here:

https://brainly.com/question/3818424

#SPJ2

Distance between Train 1 and Train 2 = 95 miles.
Average speed of Train 1 = 45 mph.
Average speed of Train 2 = 60 mph.
If both trains leave at the same time and travel toward each other but on parallel tracks, in how much time will their engines be opposite each other? (Hint: When the engines are opposite each other, together the trains will have traveled 95 miles. Their relative speed of travel is the sum of their respective speeds, or 105 mph.)
Travel time = hours.

Answers

9514 1404 393

Answer:

  19/21 hours, about 54 minutes 17 seconds

Step-by-step explanation:

The time is found from ...

  time = distance/speed

  time = (95 mi)/(105 mi/h) = 95/105 h = 19/21 h

The trains will meet after 19/21 hours, about 54 minutes, 17 seconds.

Answer:

19

Step-by-step explanation:

find the volume of a figure. Use 3.14 for pi and round to the nearest hundredth, if necessary​

Answers

9514 1404 393

Answer:

  1487.31 yd³

Step-by-step explanation:

The volume of the composite figure is the sum of the volumes of a hemisphere of radius 7 yd, and a cylinder of the same radius and height 5 yd.

The volume of a sphere is 4/3πr³. The volume of a hemisphere is half that.

The volume of a cylinder is πr²h.

The total volume of this figure is ...

  V = (2/3)πr³ + πr²h

  V = πr²(2/3r +h)

  V = (3.14)(7 yd)²(2/3·7 yd +5 yd) = 3.14·49·29/3 yd³ ≈ 1487.31 yd³

The volume of the figure is about 1487.31 yd³.

Answer:

4187.31 yd³ is thr volume of a fugure

PLS ANSWER FAST WILL GIVE BRANLIEST

Answers

Answer:

m<RTS=63

m<PTQ=27

Step-by-step explanation:

8x-17=5x+13

x=10

5(10)+13=63

8(10)-17=63

<RTQ=<UTQ

90-63=27

someone pls help me, i will mark brainliest(no links)

Answers

A and D are proportional

what is 2x2+2i know the answer but you answer it

A. 1

B. 3

C.2

D.6​

Answers

The answer is D, 6 :)
D thats becuase if you do 2x2 it equals 4 and if you add 4 + 2= that'll be 6.

14x1/2 consider the expression

Answers

Answer: 7

Step-by-step explanation:

14*1=14

14/2=7

Brainliest for correct answer asap

Answers

B , -4x-4x-4 . the other answers are wrong

The points (3,h) and (10,1) fall on a line with a slope of
4/7 What is the value of h?

Answers

Answer:

h = -3

Step-by-step explanation:

Use slope formula:

(1 - h)/(10 - 3) = 4/7(1 - h) / 7 = 4/71 - h = 4h = 1 - 4h = -3

Answer:

The answer is  h = -3

Step-by-step explanation:

(1 - h)/(10 - 3) = 4/7

(1 - h) / 7 = 4/7

1 - h = 4

h = 1 - 4

h = -3


9) Choose all expressions that are equivalent to 3x + 6 (Use
Algebra tiles if needed)
a) -2x - 4 + 5x + 10
b) 3(x + 6)
c) x + 4 - 2x + 2
d) 3(x + 2)

Answers

Answer:

3(x+2)

Step-by-step explanation:

3x+6

Factor out 3.

3(x+2)

Please no links or flies, x .
The table shows how a 2-acre piece of land is split into 4 sections for holding animals. How many acres are used for horses?


Goats 35 acre

Pigs 15 acre

Llamas 25 acre

Horses ??


???/5
PLEASE ANSWERRRRR

Answers

9514 1404 393

Answer:

  4/5 acre

Step-by-step explanation:

We assume your allocations are ...

  goats: 3/5 acre

  pigs: 1/5 acre

  llamas: 2/5 acre

2 acres is 10/5 acres, so the remaining area is ...

  10/5 -3/5 -1/5 -2/5 = (10 -3 -1 -2)/5 = 4/5

4/5 acre is allocated to horses.

Which ordered pair represents the y-intercept of the graph of the equation y = - 4 x - 7 ?​

Answers

Answer:

(0, -7)

Step-by-step explanation:

Since -4x is the slope, then -7 is the y-intercept.

For finding y intercept we substitute x=0

y = -7

The ordered pair would be

(0,-7)

hope this helps and is right. p.s. i really need brainliest :)

find area and perimeter

Answers

Answer: The simplest (and most commonly used) area calculations are for squares and rectangles. To find the area of a rectangle, multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.

Step-by-step explanation:

Answer plz due in a few min

Answers

Answer:

40

Step-by-step explanation:

24^2+32^2=c^2

square root of 1600 is 40

Answer:40

Step-by-step explanation:Because

a^2 + b^2=c^2

PLEASE HELP !! ILL GIVE BRAINLIEST !!

Answers

Answer:

ang(HIK) AND ang(GFD)

HIK GFD is the answer they are parallel

Find the unknown number of 10w = 25

Answers

Answer:

w=5/2 or W=2 1/2 if decemial 2.5

Step-by-step explanation:

Tyler has a three-dimensional shape with a bottom layer of 12 cubic inches. What is the volume of this figure if it has 3 layers all together?

Answers

Answer:

1 Tyler=12in³

3 Tyler =12×3=36in³

A fitness instructor measured the heart rates of the participants in a yoga class at the conclusion of the class. The data is summarized in the histogram to the right. There were fifteen people who participated in the class between the ages of 25 and 45. Use the histogram to answer the question. What is the approximate percentage of participants that had a heart rate less than 130​ bpm?

Answers

Answer and Explanation:

Please find full question attached

From the bar chart, we can see that the the interval 130-150 has two bars in it:

Interval 130-140 with the highest frequency of 5

Interval 140-150 with frequency of 2

Therefore to find the percentage between 130-150 we add up the frequencies 2+5=7 and divide by the total frequency of 15 people all multiplied by 100

=7/15×100= 46.67%

Percentage of participants with heart rate between 130 and 150 =46.67%

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