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
sergeinik [125]
3 years ago
7

Three fourths a number plus 8 is 20 less than the number

Mathematics
1 answer:
VARVARA [1.3K]3 years ago
7 0

Answer:

Equation:  \frac{3}{4}n+8=n-20

Solve for n:  n = 112

Step-by-step explanation:

To first set up the equation, you need to look at the verbal description and translate into numbers and operations:

'three fourths a number' =  \frac{3}{4} n

'plus 8' = + 8

'is' =

'20 less' = - 20

'the number' = n

Put the expressions together:

'three fourths a number plus 8':  \frac{3}{4}n+8

'20 less than the number': n - 20

Set them equal to each other and solve: \frac{3}{4}n+8=n-20

Add 20 to both sides: \frac{3}{4}n+8+20=n-20+20

Subtract \frac{3}{4}n from both sides: \frac{3}{4}n-\frac{3}{4}n+28=n-\frac{3}{4}n

Multiply both sides by \frac{4}{1}: \frac{4}{1}28=\frac{1}{4}n\frac{4}{1}

Solve for n:  n = 112

You might be interested in
What is the equation of the axis of symmetry do the quadratic function f(x) = -(x+4) (x-1)​
miv72 [106K]

9514 1404 393

Answer:

  x = -3/2

Step-by-step explanation:

The zeros of the function are the values of x that make the factors zero:

  x = -4, x = 1

The axis of symmetry is the vertical line halfway between these zeros.

  x = (-4 +1)/2 = -3/2

The equation of the axis of symmetry is x = -3/2.

8 0
3 years ago
What additional information is needed to prove the triangles are congruent by the SAS Postulate?
Kitty [74]
You need to know the length of two sides and the degree of one angle.
7 0
3 years ago
The Research Triangle in North Carolina is formed by Raleigh, Durham, and Chapel Hill. Is this triangle a right triangle? Explai
ryzh [129]

The triangle is not a right triangle. This is because the sum of the square of the two shorter lengths is not equal to the square of the longest length.

<h3>Is the triangle a right triangle?</h3>

In order to determine if the triangle is a right triangle, Pythagoras theorem would be used.

The Pythagoras theorem: a² + b² = c²

where a = length

b = base

c = hypotenuse

12 ² + 24²

= 144 + 576 = 720

29² = 841

To learn more about Pythagoras theorem, please check: brainly.com/question/14580675

#SPJ1

7 0
1 year ago
If \dfrac{x-1}{3}=k 3 x−1 ​ =kstart fraction, x, minus, 1, divided by, 3, end fraction, equals, k and k=3k=3k, equals, 3, what i
earnstyle [38]
For this case we have the following expression:
 (x-1) / (3) = k
 Substituting the value of k = 3 we have:
 (x-1) / (3) = 3
 From here, we must clear the value of x.
 We have then:
 x-1 = 3 * 3
 x-1 = 9
 x = 9 + 1
 x = 10
 Answer:
 
The value of x is given by:
 
x = 10
7 0
3 years ago
Solve for x X/3+2=x/3
Nataly_w [17]

Answer:

no solution

Step-by-step explanation:

X/3+2=x/3

Subtract x/3 from each side

X/3-x/3+2=x/3-x/3

2 = 0

This is never true so there is no solution

8 0
3 years ago
Other questions:
  • Which shows one way to determine the factors of x3 – 9x2 + 5x – 45 by grouping?
    10·1 answer
  • What is 56/108? they are even numbers so they can be simplified but I don't know how to do it right.
    15·2 answers
  • Find the coordinates of the midpoint of the segment with the given endpoint S(-1,5) and T(7, -2)
    6·1 answer
  • Sophia is buying party favors.she has a budget of $2.75 a person for 6 people.how much can Sophia send on the party favors?
    5·1 answer
  • What are the next two numbers in this pattern?<br> 3, 6, 12, 24, . . .
    6·1 answer
  • 73 divided by the difference between 12 and 7
    12·2 answers
  • Can you find all the angles plz
    7·2 answers
  • Describe how to create a line of best fit
    15·1 answer
  • Does y = x + 5 have one solution or an infinite number of solutions?​
    14·1 answer
  • Help Please!<br> Find the value of x for which ABCD must be a parallelogram.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!