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
guajiro [1.7K]
3 years ago
6

If three times a number, added to 2 is divided by the number plus 5, the result is eight thirds.

Mathematics
1 answer:
VLD [36.1K]3 years ago
7 0

Answer:

Number = 34

Step-by-step explanation:

We are looking for our mystery "number". I will call this number N.

We can find out what our equation looks like based on what the question tells us.

"three times a number" is 3N

"added to 2" is + 2

Which so far is 3N + 2

<em>"</em>divided by the number plus 5" is ÷ {N+5}

Combined with the first two parts to give us (3N + 2) ÷ (N + 5)

"the result is eight third" So the above equation is equal to 8/3

Combining all these comments together to get the following equation

(3N + 2) ÷ (N + 5) = 8/3

Rearrange by multiplying both sides of the = by (N+5)

3N + 2 ÷ (N + 5) × (N + 5) = 8/3 × (N + 5)

Simplify

3N + 2 = 8/3 × (N + 5)

3N + 2 = 8N/3 + 40/3

Bring the N numbers to one side and the non N numbers to the other side, by subtracting 2 from both sides of the =

3N + 2 - 2 = 8N/3 + 40/3 - 2

Simplify

3N = 8N/3 + 34/3

and then subtracting 8N/3 from both sides

3N - 8N/3 = 8N/3 - 8N/3 + 34/3

Simplify

1N/3 = 34/3

Simplify for our final answer by multiplying both sides of the = by 3

1N/3 x 3 = 34/3 x 3

N = 34

Many of these steps can be skipped when solving for yourself but I wanted to be thorough

You might be interested in
HEEEEEEEEEEEEEEEEEELP<br> photo attached for real this time
vladimir2022 [97]
Twice a number increased by 5= 2x+5

5 decreased by twice a number= 5-2x

twice the difference of a number and 5= 2(x-5)

Twice the sum of a number and 5= 2(x+5)

Five subtracted from twice a number= 2x-5

Twice a number, less 5= 2x-5
7 0
3 years ago
Vector v1 is 6.6 units long and points along the negative x axis. vector v2 is 8.5 units long and points at + 55° to the positiv
natita [175]
(a) what are the x and y components of each vector?
 For vector v1:
 
v1 = 6.6 (cos (180) i + sine (180) j)
 v1 = 6.6 (-1i + 0j)
 v1 = -6.6i
 
For vector v2:
 
v2 = 8.5 (cos (55) i + sine (55) j)
 v2 = 8.5 ((0.573576436) i + (0.819152044) j)
 v2 = 4.88 i + 6.96 j
 (b) determine the sum v v 1 2

 The sum of both vectors is given by:
 v1 + v2 = (-6.6i) + (4.88 i + 6.96 j)
 Adding component to component:
 v1 + v2 = (-6.6 + 4.88) i + (6.96) j
 v1 + v2 = (-1.72) i + (6.96) j
6 0
3 years ago
The length of segment HJ if H lies at (-1,7) and J lies at (8,-5)​
sukhopar [10]

Answer:

<h3>HJ = 15</h3>

Step-by-step explanation:

To get the length of segment HJ if H lies at (-1,7) and J lies at (8,-5)​, we will use the formula for calculating the distance between two points as shown;

D = √(x₂-x₁)²+(y₂-y₁)²

From the coordinates x₁ = -1, y₁ = 7, x₂ = 8, y₂ = -5

HJ = √(8-(-1))²+(-5-7)²

HJ = √(8+1)²+(-12)²

HJ = √81+144

HJ = √225

HJ = 15

<em>Hence the length of segment HJ is 15 units</em>

5 0
3 years ago
A rectangular garden is 80 feet long and 50 feet wide. It has a walkway along its diagonal. How long is the walkway? 62.4 feet 9
viktelen [127]
94 feet. 50^2 + 80^2 = x^2
8 0
3 years ago
Hdhdhdbsnsjidhdbendx
nlexa [21]

Answer:

hdhwvejrfgnwruge. love that . ask a question though id love to help!

Step-by-step explanation:

you got this buddy lol

5 0
3 years ago
Read 2 more answers
Other questions:
  • Phyllis invested 51000 dollars, a portion earning a simple interest rate of 4 percent per year and the rest earning a rate of 7
    14·1 answer
  • 4d to the third power-10 in verbal expression
    6·1 answer
  • Knowing that
    14·1 answer
  • What percent increase between 80 and 110
    13·2 answers
  • A prism with a square base has a volume of 96 ft3. The height of the unit is 6 feet.
    9·2 answers
  • A school is building a rectangular stage for its chorus. The stage must have a width of 4 feet. The area of the stage must be at
    12·1 answer
  • Find the volume of a sphere with a diameter of 4 inches. Use 3.14 for π
    9·1 answer
  • Can anyone help me out?????
    6·2 answers
  • Which equation represents this situation in form of y=mx+b
    5·1 answer
  • For what value of k are the lines 2x + 3y = 4k and x - 2ky = 7 parallel?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!