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
maria [59]
3 years ago
13

Solve x - 3 1/8 = 5/12

Mathematics
1 answer:
Anna007 [38]3 years ago
7 0

Answer:

\large\boxed{x=\dfrac{85}{24}=3\dfrac{13}{24}}

Step-by-step explanation:

Convert the mixed number to the fraction:

3\dfrac{1}{8}=\dfrac{3\cdot8+1}{8}=\dfrac{25}{8}

METHOD 1:

x-3\dfrac{1}{8}=\dfrac{5}{12}\\\\x-\dfrac{25}{8}=\dfrac{5}{12}\\\\\text{the common denominator is 24}\\\\x-\dfrac{25}{8}=\dfrac{5}{12}\qquad\text{multiply both sides by 24}\\\\24x-(3)(25)=(2)(5)\\\\24x-75=10\qquad\text{add 75 to both sides}\\\\24x=85\qquad\text{divide both sides by 24}\\\\\boxed{x=\dfrac{85}{24}}

METHOD 2:

x-3\dfrac{1}{8}=\dfrac{5}{12}\qquad\text{add}\ 3\dfrac{1}{8}\ \text{to oboth sides}\\\\x=\dfrac{5}{12}+3\dfrac{1}{8}\\\\x=\dfrac{5\cdot2}{12\cdot2}+3\dfrac{1\cdot3}{8\cdot3}\\\\x=\dfrac{10}{24}+3\dfrac{3}{24}\\\\x=3\dfrac{10+3}{24}\\\\\boxed{x=3\dfrac{13}{24}}

You might be interested in
2. Find mzR and mzS.<br> 89°<br> R<br> 157 T<br> Р
baherus [9]

Answer:

m∠R = 123°

m∠S = 91°

Step-by-step explanation:

The measure of an inscribed angle is 1/2 the measure of the intercepted arc

m of arc QRS = 2 m∠P = 2(57) = 114

Now m of arc SPQ = 360 - 114 = 246

So, m∠R = 1/2(246) = 123

m of arc RSP = 2 m∠Q = 2(89) = 178

m of arc PQR = 360 - 178 = 182

m∠S = 1/2(182) = 91

5 0
3 years ago
Which of the following are roots of the polynomial function?
Bingel [31]

Answer:

1 and -5

Step-by-step explanation:

~~~~~x^3+3x^2-9x+5=0\\\\\implies x^3-x^2+4x^2-4x-5x+5=0\\\\\implies x^2(x-1)+4x(x-1)-5(x-1)=0\\\\\implies (x-1)(x^2 +4x -5) = 0\\\\\implies (x-1)(x^2+5x -x -5) = 0\\\\\implies (x-1)[x(x+5) -(x+5)] =0\\\\\implies (x-1)(x-1)(x+5)= 0\\\\\implies (x-1)^2(x+5) = 0\\\\\implies x = 1,~~ x = -5

6 0
1 year ago
6TH GRADE MATH I WILL GIVE BRAINLIEST HELP ASAP
dimaraw [331]

Answer:

Point D and It is equivalent to 75%

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Molly is converting 2 yards to millimeters. will the number of millimeters be fewer than or greater than 2?
Maru [420]
<span>Greater than, because millimeters are smaller than yards. i had this question 2</span>
8 0
3 years ago
Andre has seven dollars he needs $50 to buy a skateboard each week his grandmother pays him four dollars to complete some chores
SVEN [57.7K]

Answer:

$11

$39

Step-by-step explanation:

Amount Andre has = $7

Amount his grandmother pays him every week = $4

Amount Andre needs to buy a skateboard = $50

how much money does Andre have after the week?

Amount of money Andre has after the week = Amount Andre has + Amount his grandmother pays him every week

= $7 + $4

= $11

Amount of money Andre has after the week = $11

Amount Andre needs more to buy the skateboard = Cost of the skateboard - Amount of money Andre has after the week

= $50 - $11

= $39

Amount Andre needs more to buy the skateboard = $39

6 0
3 years ago
Other questions:
  • Jeff has a square of art paper .He cut it from one corner to the opposite corner to make two pieces.what is the total number of
    15·1 answer
  • Find the total surface area of a cuboid 7.5cm 2.3cm 5cm
    7·2 answers
  • What family ruled russia for 300 years
    12·2 answers
  • Need help on this ASAP!!
    14·1 answer
  • Given: rectangle ABCD is similar to rectangle ZBXY. If BC = 10, BX = 6, XY = 4, then CD =
    13·2 answers
  • Patty's Pies made 2 peach pies using 10 cups of peaches. They made 3 pies using 15 cups of peaches and 4 pies using 20 cups of p
    14·2 answers
  • Write the numerical values of the following expression.<br> -3|x|+2x-1 if x=-5
    8·2 answers
  • Suppose △AYH≅△ZRL.
    5·2 answers
  • What is the image of (12,-9) after a dilation by a scale factor of 1/3 centered at the origin
    14·1 answer
  • 3(2x+1)-2(x+1) is the same as
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!