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
evablogger [386]
3 years ago
5

5/8(x-1/3)=5/12 can someone help me figure out what x is?

Mathematics
1 answer:
eimsori [14]3 years ago
3 0
Solve for x:(5 (x - 1/3))/(8) = 5/12
Put each term in x - 1/3 over the common denominator 3: x - 1/3 = (3 x)/3 - 1/3:(5 (3 x)/3 - 1/3)/(8) = 5/12
(3 x)/3 - 1/3 = (3 x - 1)/3:(5 (3 x - 1)/3)/(8) = 5/12
3×8 = 24:(5 (3 x - 1))/24 = 5/12
Multiply both sides of (5 (3 x - 1))/24 = 5/12 by 24/5:(24×5 (3 x - 1))/(5×24) = (24×5)/(5×12)
(24×5)/(5×12) = (24×5)/(5×12):(24×5 (3 x - 1))/(5×24) = (24×5)/(5×12)
(24×5 (3 x - 1))/(5×24) = (5×24)/(5×24)×(3 x - 1) = 3 x - 1:3 x - 1 = (24×5)/(5×12)
(24×5)/(5×12) = 5/5×24/12 = 24/12:3 x - 1 = 24/12
The gcd of 24 and 12 is 12, so 24/12 = (12×2)/(12×1) = 12/12×2 = 2:3 x - 1 = 2
Add 1 to both sides:3 x + (1 - 1) = 1 + 2
1 - 1 = 0:3 x = 2 + 1
2 + 1 = 3:3 x = 3
Divide both sides of 3 x = 3 by 3:(3 x)/3 = 3/3
3/3 = 1:x = 3/3
3/3 = 1:Answer:  x = 1
You might be interested in
How do I Simplify this fraction <br><br> 4/5
trasher [3.6K]

Answer:

you don't, the fraction \frac{4}{5}  

or 4/5

is already in its simplest form.

Step-by-step explanation:

if you want it as a decimal, simply divide.

numerator by the denominator

4 divided by 5

which is 0.8  

6 0
3 years ago
For the given line segment, write the equation of the perpendicular bisector.
Jlenok [28]

Answer:

D) y = -4/5x – 47/10

Step-by-step explanation:

Step 1. Find the <em>midpoint of the segmen</em>t.

The two end points are (-6, -4) and (-2, 1).

The midpoint is at the average of the coordinates.

(xₚ, yₚ) = ((x₁ + x₂)/2, (y₁ + y₂)/2)

(xₚ, yₚ) = ((-6 - 2)/2, (-4 + 1)/2)

(xₚ, yₚ) = (-8/2, -3/2)

(xₚ, yₚ) = (-4, -3/2)

===============

Step 2. Find the <em>slope (m₁) of the segment</em>

m₁ = (y₂ - y₁)/(x₂ - x₁)

m₁ = (1 - (-4))/(-2 - (-6))

m₁ = (1 + 4)/(-2 + 6)

m₁ = 5/4

===============

Step 3. Find the <em>slope (m₂) of the perpendicular bisector </em>

m₂ = -1/m₁

m₂ = -4/5

====================

Step 4. Find the <em>intercept of the perpendicular bisector</em>

y = mx + b

y = -(4/5)x + b

The line passes through (-4, -3/2).

-3/2 = -(4/5)(-4) + b

-3/2 = 16/5 + b      Multiply each side by 10

 -15 = 32 + 10 b    Subtract 32 from each side

 -47 = 10b             Divide each side by 10

    b = -47/10

===============

Step 5. Write the <em>equation for the perpendicular bisector</em>

y = -4/5x – 47/10

The graph shows the midpoint of your segment at (-4, -3/2) and the perpendicular bisector passing through the midpoint and (0, -47/10).

4 0
3 years ago
Complete the pairs of corresponding parts if △RST ≅ △TXY.
ELEN [110]

Answer:

∡S corresponds to ∡X

∡TXY = ∡RST

∡XTY = ∡SRT

∡XYT = ∡STR

Step-by-step explanation:

7 0
3 years ago
What is the range of the function represented by the graph?<br> {0,1,2,3} {1,2,3,4} 1
Minchanka [31]

Answer:

number 3

Step-by-step explanation:

6 0
3 years ago
Jen has 2 meters of taffy she want to give each of her 3 best friends an equal amount of taffy how many centimeters of taffy wil
bezimeni [28]
Each friend will get approximately 66.6 centimeters of taffy
6 0
3 years ago
Other questions:
  • Does anyone know if that little ‘o’ by the ‘V’ means it’s a base of 10?
    11·1 answer
  • -12.25 in simplest form
    10·1 answer
  • wendy already spent $10 on a necklace, and each additional charm is priced at $2 each. write a function that shows the relations
    9·1 answer
  • A store is having a sale in which all items are 20% off. If p is the original price of an item, then the equation p - 0.2 = 0.8
    15·2 answers
  • Jonathan wants to the new baseball game for his game console. The game costs $45.99. If sales tax is 6%, write an equation to fi
    13·1 answer
  • Rafael needs to drive 16 miles to work.so far, he has driven 4.1 miles.How many more miles must he drive
    9·2 answers
  • If 1503 kg of rice was packed in sacks weighing 3 kg each, how many sacks were packed
    12·1 answer
  • Braden jumped 9 5 16 feet in the long jump. Jordan jumped 8 7 8 feet. How much farther did Braden jump than Jordan?
    12·2 answers
  • Determine whether the series converges or diverges <br> Please, check the image
    10·1 answer
  • Pls help i don’t know how to do this
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!