Answers
Answer:
x = 26/45
Step-by-step explanation:
Answer:
Given Question
Solve for x :
[tex]\rm :\longmapsto\:\dfrac{3x - 5}{2} + x + \dfrac{2x - 3}{3} = \dfrac{5}{6} - \dfrac{3x}{2} [/tex]
[tex] \green{\large\underline{\sf{Solution-}}}[/tex]
Given expression is
[tex]\rm :\longmapsto\:\dfrac{3x - 5}{2} + x + \dfrac{2x - 3}{3} = \dfrac{5}{6} - \dfrac{3x}{2} [/tex]
On taking LCM of (2 and 3 = 6) on LHS and Taking LCM of ( 2 and 6 = 6) on RHS, we get[tex]\rm :\longmapsto\:\dfrac{3(3x - 5) + 6x + 2(2x - 3)}{6} = \dfrac{5 - 9x}{6}[/tex]
[tex]\rm :\longmapsto\:9x - 15 + 6x + 4x - 6 = 5 - 9x[/tex]
[tex]\rm :\longmapsto\:(9x + 6x + 4x) - 15 - 6 = 5 - 9x[/tex]
[tex]\rm :\longmapsto\:19x - 21 = 5 - 9x[/tex]
[tex]\rm :\longmapsto\:19x + 9x = 5 + 21[/tex]
[tex]\rm :\longmapsto\:28x = 26[/tex]
[tex]\rm :\longmapsto\:x = \dfrac{26}{28} [/tex]
[tex]\bf\implies \:x = \dfrac{13}{14} [/tex]
VERIFICATIONConsider LHS
[tex]\rm :\longmapsto\:\dfrac{3x - 5}{2} + x + \dfrac{2x - 3}{3}[/tex]
On substituting the value of x, we get
[tex]\rm \: = \: \dfrac{\dfrac{39}{14} - 5}{2} + \dfrac{13}{14} + \dfrac{\dfrac{13}{7} - 3}{3}[/tex]
[tex]\rm \: = \: \dfrac{39- 70}{28} + \dfrac{13}{14} + \dfrac{13 - 21}{21}[/tex]
[tex]\rm \: = \: \dfrac{ - 31}{28} + \dfrac{13}{14} - \dfrac{8}{21}[/tex]
[tex]\rm \: = \: \dfrac{ - 31 + 26}{28} - \dfrac{8}{21}[/tex]
[tex]\rm \: = \: \dfrac{ -5}{28} - \dfrac{8}{21}[/tex]
[tex]\rm \: = \: \dfrac{ -15 - 32}{84}[/tex]
[tex]\rm \: = \: - \: \dfrac{47}{84}[/tex]
Consider RHS
[tex]\rm :\longmapsto\: \dfrac{5}{6} - \dfrac{3x}{2} [/tex]
On substituting the value of x, we get
[tex] \rm \: = \: \dfrac{5}{6} - \dfrac{39}{28} [/tex]
[tex] \rm \: = \: \dfrac{70 - 117}{84}[/tex]
[tex] \rm \: = \: - \dfrac{47}{84}[/tex]
Hence, LHS = RHS
Hence, Verified.
Related Questions
Which expression is equivalent to , if y ≠ 0?
Answers
The value of expression is equivalent to given expression is,
⇒ 126y²
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ 3 √2y³ × 7 √18y
Now, We can simplify as;
⇒ 3 √2y³ × 7 √18y
⇒ 21 √36y⁴
⇒ 21 × 6y²
⇒ 126y²
Thus, The value of expression is equivalent to given expression is,
⇒ 126y²
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ2
Answer: b
Step-by-step explanation:
In mrs. Wilson’s math class, the ratio of girls to boys is 5 to 8. If there are 24 total students, how many boys are in the class
Answers
Activity 1: rewrite me!
1. write the equation 2x+3y=12into y=mx+b
Solution
2x+3y=12
2x + (____) + 3y = 12+(-2x)
(____)3y=(-2x+12)(____)
y= - ⅔x +4
Given:
Simplified as y= mx+ b
2.write the linear equation y= -2x -1 into Ax + By = C.
solution
y = -2x-1
y +(____) = - 2x + (___) - 1
2x + y = -1
Given:
Questions:
1. how did you write the linear equation y = mx + b to the form Ax + By = C?
2. how did you write Ax + By = C?
3. what mathematical concepts or principles did you apply to write each linear equation to standard form?
to y=mx+b form?
brainlest pag Tama ang sagot plus eh fo-follow ko na din.
nonesen report
Answers
1) The equation 2y + 3x = 12 in the y = mx + b form is [tex]y = -\frac{2}{3} x + 4[/tex]
2) The linear equation y = -2x - 1 in the Ax + By = C form is 2x + y = -1
The point-slope form of the equation of a line is y = mx + b
where m represents the slope
b represents the y-intercept
The given equation is:
2x + 3y = 12 (Given)
Subtract 2x from both sides
2x + (-2x) + 3y = 12 + (-2x)
3y = 12 - 2x (Equality property of addition)
3y = -2x + 12 (Commutative property of addition)
Divide both sides by 3
[tex]\frac{3y}{3} = -\frac{2}{3} x + \frac{12}{3} \\\\y = -\frac{2}{3} x + 4[/tex](Equality property of division)
2) Write the linear y = -2x - 1 into Ax + By = C
y = -2x - 1 (Given)
Add 2x to both sides
y + 2x = -2x + 2x - 1 (Equality property of addition)
y + 2x = -1
2x + y = -1 (Commutative property of addition)
Learn more here: https://brainly.com/question/19573990
Sunny beaches is a company that designs and makes beach balls. The beach ball shown has a radius of 8 inches. determine the volume of a beach ball in cubic inches round to the nearest hundredths
Answers
Answer:
the answer is 2143.57! hope this helps!
2r + 8 - r = -7
Combine like terms
Answers
Answer: -15
Step-by-step explanation: 2r+8-r=-7
1r +8 = -7
1/1 -15/1
Answer: r = -15
Step-by-step explanation:
2r - r = -7 -8
r = -15
confused on what to do for this question?
Answers
orthodox iridium procuring
Find the fraction equal to 1.666
Answers
Answer: 1 2/3
Step-by-step explanation:
3.7 - 1.8 - 3.67 + 4.4 - 1.34
Answers
Answer:
1.29
Step-by-step explanation:
Answer:
The person above me is correct, the answer would be 1.29. ^ .^
Step-by-step explanation:
PLEASE HELPPPP!!!! Ugh
Answers
The GCD of two numbers is 20. The ratio of these two numbers is 2: 3. Find the sum of the two numbers.
Answers
Answer:
225
Step-by-step explanation:
What is the value of x in the triangle below?
ModuleTwoPostAs...
a
>> Q
3x
T
V
8x - 30
R
15
45
6
18
Answers
Answer:
d
Step-by-step explanation:
suppose denzel's score is 25, give one score that could possibly be bianca's score in the test
Answers
Answer:
3
Step-by-step explanation:
Which point is on the line that passes through (0,6) and is parallel to the given line
Answers
Answer:
d) (6, 0)
Step-by-step explanation:
y = -2/12 = -1/6x - 4 = y
New line = y = -1/6x + 6
Plug and test!
0 = -1/6(6) + 6
0 does indeed equal 0
HELP ASAP!!! 100 POINTS!! BRAINLIEST TOO!
A 6 foot tall man makes a shadow that is 3 1/2 feet long. How tall is a building that makes a 14 7/8 foot shadow?
Answers
25.50
Hope this helped you- have a good day bro cya)
When a number is halved and 5 is added, the result ie 8 more than the original number. Find the number
Answers
Answer:
It would be 6.
Step-by-step explanation:
6 halved is 3.
3, then 5 added is 8.
Please help with this math problem!! :) Will give brainliest!!
Answers
Answer:
X=12.75
Y=12
Step-by-step explanation:
4X+8°+31°=90°
4X=90-39/4°
X=12.75°
3Y+86=8Y+26
86-26=8Y-3Y
60=5Y
Y=60/5
Y=12
Answer:
x = 12.75
y = 12
Step-by-step explanation:
To solve for x, we can see that it makes up a right angle when placed next to the 31 degrees.
We also know that the corner should equal 90 degrees, so we can set this up:
4x+8+31=90
Group like terms:
4x=51
Divide:
x=12.75
To solve for y, we can see that two expressions equal the same length, so:
8y+26=3y+86
Group like terms:
5y=60
y=12
You can also plug in x and y in to see if they match up
4(12.75)+8+31=90
51+8+31=90
90=90
and
8(12)+26=3(12)+86
96+26=36+86
122=122
Two-thirds of the students in your class are boys. One eighth of the boys play soccer what fraction of the kids in your class are boys who play soccer
Math period 4 — 9th Grade
Answers
Answer:
7 of the kids in your class play
Step-by-step explanation:
Hope this helps you :)
A teacher receives a monthly salary of $2800.00 What is her annual salary?
Answers
Answer:
$33,600
Step-by-step explanation:
2,800 x 12
Two technicians are discussing scan-tool use. Technician A...
D. Technician A only IS INCORRECT!!!
Answers
Answer:C
Step-by-step explanation:
can someone help pls
Answers
Answer: hehehe
Step-by-step explanation:
Your mom
please answer this, thank you so much!! <3 :D
Answers
Answer: The correct answer is: " 11 .1 " .
________
Step-by-step explanation:
Given:
" [tex]1.9h + 3.5 =[/tex] ? " ; Solve: when: " [tex]h = 4[/tex] " ;
________
To find the answer:
We plug in "4" for the value for " [tex]h[/tex] " ;
and performed the mathematical operations indicated.
________
→ " [tex]1.9h + 3.5 =[/tex] [tex](1.9*4) + 3.5 = 7.6 +3.5 = 11.1[/tex] " .
________
The correct answer is: " 11 .1 " .
________
Hope this is helpful to you!
Best wishes!
________
10 feet for $7.00
20 feet for $13.00
50 feet for $28.00
100 feet for $57.50
Your boss sends you to the hardware store to buy tie down rope. He tells you to buy the best deal. What is the savings per unit between the best deal and worst deal?
A) $50.00
B) $25.00
C) 5 cents
D) 14 cents
Answers
Answer:
D. 14 cents
Step-by-step explanation:
At 10 feet for $7, that is 70 cents for every foot
At 20 feet for $13, that is 65 cents for every foot
At 50 feet for $28, that is 56 cents for every foot
At 100 feet for $57.50, that is 58 cents (rounded) for every foot
The best deal is 50 feet at 56 cents
The worst deal is 10 feet at 70 cents
So we do 70 - 56 = 14
So the answer is the savings per unit between the best deal and worst deal is 14 cents
Can someone give me this answer plz it’s timing
Answers
Answer:
28
Step-by-step explanation:
14x2=28
Work out m and c for the line:
y = 10 – x
Answers
Answer:
what
Step-by-step explanation:
Take, y=10-x and rearrange into point slope.
y=-x+10
Therefore, m= -1 and c= 10.
Ayuda porfavor lo mas pronto posible
Answers
Answer:
Based on the graphs shown, what would you conclude about the conditions under which enzymes function in cells?
A
Enzymes are most effective at a particular pH and temperature but can function over a range of pH and temperature.
B
С
Enzymes do not have a specific pH or temperature at which they are most effective but function optimally over a range of pH and temperature.
Enzymes work equally well at the low and high ends of their temperature range but reaction rate drops quickly at the high end of their pH range
Enzymes only function at a specific pH and temperature and cannot function over a range of pH or temperature.
D
Question 5
Which expression is equivalent to the expression shown?
3²x3²
3 x 2 / 2
3 x1-31
3
x
34
3
A
Answers
Answer:
A
Step-by-step explanation:
Need help Asap thanks
Answers
Answer:
QS, RT
Step-by-step explanation:
All you had to do was know what congruent means and count how many marks are between w and y (it was 5), and then find the letters that also are exactly 5 markers apart.
The sum of 1/4 and three times a number is equal to 2/3 subtracted from four times the number. Find the number.
Answers
Answer:
5
Step-by-step explanation:
Pls help me with this question!!!!
Answers
Answer:
The answer is A
Step-by-step explanation:
what is the average hourly pay of someone making $45,000per year. Assuming wage growth of 5% a year, how much would he make the second year
Answers
Answer:
When it’s time for annual performance reviews, if you plan on including pay raises, you need to know the simple math behind calculating pay increases correctly. Raises can be based on any number of things including a worker’s piers, standard industry rates, length of time on the job, the amount of work to do, and even whether or not the boss likes the employee or not. There are few, if any, laws that govern how and when increases are granted, so it’s up to you to determine what you’re willing to give.
Answer:
See belowStep-by-step explanation:
Assume the person works 40 hours a week and 52 weeks a year.
The hourly pay would be:
$45000 ÷ (40*52) = $45000 ÷ 2080 =$21.63The yearly income the second year:
$45000 + 5% = $45000*1.05 = $47250