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
o-na [289]
3 years ago
8

A quantity and its 2/3 are added together and from thesum 1/3 of the sum is subtracted, and 10 remains.What is the quantity?

Mathematics
2 answers:
Dima020 [189]3 years ago
8 0

Answer: the quantity is 9

Step-by-step explanation:

Let x represent the quantity.

A quantity and its 2/3 are added together. The 2/3 of the number is 2/3 × x = 2x/3

The sum of the quantity and its 2/3 would be

x + 2x/3 = (3x + 2x)/3 = 5x/3

From the sum, 1/3 of the sum is subtracted. 1/3 of the sum would be

1/3 × 5x/3 = 5x/9

Subtracting 1/3 of the sum from the sum, it becomes

5x/3 - 5x/9 = (15x - 5x)/9 = 10x/9

If the remainder is 10, it means that

10x/9 = 10

Crossmultiplying

10x = 9 × 10 = 90

x = 90/10

x = 9

musickatia [10]3 years ago
6 0

Answer:

14\frac{1}{3}

Step-by-step explanation:

Let's write this out as an equation. Let the unknown quantity be x:

x+\frac{2}{3} - \frac{1}{3} (x+\frac{2}{3}) = 10\\\\3x+2-x -\frac{2}{3} = 30\\\\9x+6-3x-2=90\\\\6x= 86\\\\x = \frac{86}{6} =\frac{43}{3} =14\frac{1}{3} \\

You might be interested in
Janine has 86 hockey cards in one book and 105 hockey cards in another book. The hockey cards come in packages of 5 cards. If Ja
wel

Answer:

ur pfp... pls get help NOWWW

Step-by-step explanation:

pls stop this madness

8 0
2 years ago
The parallelogram below is being covered with carpet. The carpet is priced at $2.80 per square meter. How much will it cost to c
cestrela7 [59]

Answer:

It will cost $79.38 to carpet the shape

Explanation:

Find the diagram of the parallelogram attached

Area of a parallelogram = Base * Height

Given

Base = 8.1m

Height = 3.5m

Area of the parallelogram = 8.1*3.5

Area of a parallelogram  = 28.35m²

Since 1m² = $2.80

28.35m² = x

Cross multiply

x = 28.35 * 2.80

Hence it will cost $79.38 to carpet the shape

5 0
2 years ago
When lava is expelled from a volcano, it temperature may vary from 700 degrees Celsius to 1200 degrees Celsius. Write an absolut
ValentinkaMS [17]

Answer:

Ix - 950°C I ≤ 250°C

Step-by-step explanation:

We are told that the temperature may vary from 700 degrees Celsius to 1200 degrees Celsius.

And that this temperature is x.

This means that the minimum value of x is 700°C while maximum of x is 1200 °C

Let's find the average of the two temperature limits given:

x_avg = (700 + 1200)/2 =

x_avg = 1900/2

x_avg = 950 °C

Now let's find the distance between the average and either maximum or minimum.

d_avg = (1200 - 700)/2

d_avg = 500/2

d_avg = 250°C.

Now absolute value equation will be in the form of;

Ix - x_avgI ≤ d_avg

Thus;

Ix - 950°C I ≤ 250°C

3 0
2 years ago
A force does 35000J of work along a distance of 10.5m. Find the applied force.
nadezda [96]

Answer: 3333.333 N

Work: To figure it out, you must do 35000J divided by 10.5. After diving, you receive the answer 3333.333N. I hope this helps you!

3 0
2 years ago
Sophia manages a landfill. She decides to measure the rate at which trash increases in volume to fill the landfill as the number
goblinko [34]

Answer:

\frac{m^3}{h}, \frac{cm^3}{h},  \frac{km^3}{h}

Step-by-step explanation:

If you look at the objects thrown as garbage, it's a two- or three-dimensional item that takes up space and also has mass and this is a solid waste.

And the landfill that dumps such garbage is also three-dimensional.

Hence, the volume module, if the object inside is a solid, either would be

m^3,cm^4,Km^3

As household numbers rise, landfill space increases.

So,

household\ number = Proportionality\times  landfill\ space

If H represents the number of household keeps,  then it will be a sufficient unit for the purpose of Sophia that is

\frac{m^3}{h}, \frac{cm^3}{h},  \frac{km^3}{h}

7 0
3 years ago
Other questions:
  • Allison flipped a coin twenty times. She flipped heads 4 times and tails 16 times. What is the experimental probability that All
    5·2 answers
  • ASAP Please! :)
    10·1 answer
  • A man that is 6 feet tall casts a shadow 5 feet long. At the same time, a lamppost beside the man casts a shadow 25 feet long. H
    15·1 answer
  • What is the difference between standard and factored form?
    11·1 answer
  • 9. Find the sum of the first 6 terms of the sequence: –3, 1, 5, 9, . . . options: A) 25 B) 48 C) 42
    10·2 answers
  • Help me to find AC please
    6·1 answer
  • At a school 40% of the sixth graders students said that hip hop is their favorite kind of music. If 100 sixth graders students p
    11·2 answers
  • Trig work that i don’t understand. pls help
    13·1 answer
  • What is an equation in point-slope form of the line that passes through (-3,-1) and has a slope of 2?
    6·1 answer
  • There is 300 fruit in a basket 50 of them are bananas what percentage is not bananas
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!