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
zimovet [89]
3 years ago
14

I thought of a number, I added 1 3 4 to it, then I multiplied the result by 2 2 11 and I got 8. What was my number?

Mathematics
1 answer:
Valentin [98]3 years ago
3 0

Given:

In a number, adding 1\dfrac{3}{4}, then multiplying the result by 2\dfrac{2}{11} we get 8.

To find:

The unknown number.

Solution:

Let the unknown number be x.

According to the question,

(x+1\dfrac{3}{4})\times 2\dfrac{2}{11}=8

(x+\dfrac{1\times 4+3}{4})\times \dfrac{2\times 11+2}{11}=8

(x+\dfrac{4+3}{4})\times \dfrac{22+2}{11}=8

(x+\dfrac{7}{4})\times \dfrac{24}{11}=8

Multiply both sides by \dfrac{11}{24}.

x+\dfrac{7}{4}=8\times \dfrac{11}{24}

x+\dfrac{7}{4}=\dfrac{11}{3}

Subtract \dfrac{7}{4} from both sides.

x=\dfrac{11}{3}-\dfrac{7}{4}

x=\dfrac{44-21}{12}

x=\dfrac{23}{12}

x=1\dfrac{11}{12}

Therefore, the required number is 1\dfrac{11}{12}.

You might be interested in
Please explain as well 3x+5y=21 4x-2y=-244x−2y=−24
hodyreva [135]

Step-by-step explanation:

3x + 5y = 21 * (-4) •••••• -12x -20y = -84 (a)

4x - 2y = -24 * (3) •••••• 12x -6y = -72 (b)

(a) + (b)

-26y = -156

y = 6

3x + 5 * 6 = 21

3x = 21 - 30

3x = -9

x = -3

3 0
3 years ago
Write the equation of the line in fully simplified slope-intercept form.​
Aneli [31]

Answer:

y = -\frac{1}{5}x -1

Step-by-step explanation:

Given

The attached graph

Required

Determine the line equation

First, list out two points from the graph

(x_1,y_1) = (-5,0)

(x_2,y_2) = (0,-1)

Next, calculate the slope (m)

m = \frac{y_2 - y_1}{x_2 - x_1}

m = \frac{-1-0}{0 -(-5)}

m = \frac{-1}{0 +5}

m = -\frac{1}{5}

The equation in slope intercept form is:

y = m(x - x_1) + y_1

This gives:

y = -\frac{1}{5}(x - (-5)) + 0

y = -\frac{1}{5}(x +5)

Open bracket

y = -\frac{1}{5}x -1

4 0
3 years ago
Is my answer correct?
Alexandra [31]
Yes your answer would be correct!  :)
8 0
3 years ago
Read 2 more answers
The surface areas of two similar solids are 384 yd squared and 1057 yd squared The volume of the larger solid is 1795. What is t
Arturiano [62]
This is the concept of scale factors, we are required to calculate for the volume of the smaller solid if the larger solid has a volume of 1975.
Area scale factor=(linear scale factor)^2
thus;
Area scale factor=(area of larger solid)/(area of smaller solid)=1057/384
linear scale factor=√(1057/384)=5.7019
the volume scale factor=(linear scale factor)^3=[volume of larger solid]/[volume of smaller solid]
The volume scale factor=(5.7019)^3=185.3772
therefore;
volume of smaller solid=[volume of larger solid]/[volume scale factor]

=1795/185.3772
=9.683 
The answer is 9.683 yd^3

5 0
3 years ago
The radius of a cylinder is 3 cm and the height is 6 cm.
Alborosie

Answer:

B. 54π

Step-by-step explanation:

Surface area of cylinder = 2πrh + 2πr²

Radius = 3 cm

Height = 6 cm

Plug in the values

Surface area of the cylinder = 2*π*3*6 + 2*π*3²

Surface area = 36π + 18π

Surface area = 54π

3 0
3 years ago
Other questions:
  • fran swims at a speed of 2.4 mph in still water, the river flows at a speed of 0.6mp, how long will it take fran to swim 2.7mi u
    10·1 answer
  • what you know about the toy made with 27 small cubes to find the relationship between number of cubes on each edge and the total
    14·1 answer
  • suppose x is a non-negative integer valued random variable which follows a probability distribution such that p x=0 = 06 and for
    15·1 answer
  • Can someone help me with this ... Please
    11·1 answer
  • In a certain year, 86% of all Caucasians in the U.S., 77% of all African-Americans, 77% of all Hispanics, and 84% of residents n
    5·1 answer
  • Which of the following represents the greatest percent of change?
    10·1 answer
  • What are terms in a polynomial separated by ?
    10·1 answer
  • If angle nrm=114 what is the measure of jnq.
    7·1 answer
  • The circumference of the smaller circle is 30% of the circumference of the larger circle. Find the circumference of the larger c
    5·2 answers
  • Match each question to the correct problem.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!