Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
3/x-1-5*x/x+2-(1/4)=0
4.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using x as the denominator :
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
4.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
5.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using x as the denominator :
5.2 Adding up the two equivalent fractions
6.1 Adding a whole to a fraction
Rewrite the whole as a fraction using x as the denominator :
7.1 Pull out like factors :
3 - 6x = -3 • (2x - 1)
7.2 Adding up the two equivalent fractions
8.1 Find the Least Common Multiple
The left denominator is : x
The right denominator is : 4
Least Common Multiple:
4x
8.2 Calculate multipliers for the two fractions
Denote the Least Common Multiple by L.C.M
Denote the Left Multiplier by Left_M
Denote the Right Multiplier by Right_M
Denote the Left Deniminator by L_Deno
Denote the Right Multiplier by R_Deno
Left_M = L.C.M / L_Deno = 4
Right_M = L.C.M / R_Deno = x
8.3 Rewrite the two fractions into equivalent fractions
Two fractions are called equivalent if they have the same numeric value.
For example : 1/2 and 2/4 are equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are equivalent as well.
To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.
8.4 Adding up the two equivalent fractions
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
Now, on the left hand side, the 4x cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
12-17x = 0
9.2 Solve : -17x+12 = 0
Subtract 12 from both sides of the equation :
-17x = -12
Multiply both sides of the equation by (-1) : 17x = 12
Divide both sides of the equation by 17:
x = 12/17 = 0.706
The inequality 5x-(x+2)>-5(1+x)+3 simplifies to x>5/9 after combining like terms and isolating x. Therefore, any x greater than 5/9 is a solution, including x=1, which satisfies the inequality.
To find a particular solution to the inequality 5x-(x+2)>-5(1+x)+3, we first simplify both sides of the inequality:
5x - x - 2 > -5 - 5x + 3
This further simplifies to:
4x - 2 > -5x + 3
Next, we add 5x to both sides and add 2 to both sides to get:
9x > 5
Now, we divide both sides by 9 to isolate x:
x > 5/9
Therefore, any x greater than 5/9 is a particular solution to the original inequality. For example, x=1 is such a solution, as it satisfies the inequality:
5(1) - ((1)+2) > -5(1+(1)) + 3
That simplifies to:
5 - 3 > -5(2) + 3
2 > -10 + 3
2 > -7, which is true, thus confirming x=1 is a solution.
If x=2 then 2=x what’s the definition
Answer:
The symmetric property of equality.
Step-by-step explanation:
The symmetric property of equality says that if a=b, then b=a. Here, we have x substituted for "a" and 2 substituted for "b" to get ...
if x = 2, then 2 = x. . . . . . . symmetric property of equality
Convert 26.2 mi to kilometers using 1 mi = 1.6 km.
A(n) _____ is a two dimensional diagram that can be folded to form a three dimensional figure?
A. net
B. orthographic drawing
C. isometric drawing
D. geometric solid
Answer:
The answer is option A.
Step-by-step explanation:
A net is a two dimensional diagram that can be folded to form a three dimensional figure.
A net is a pattern made when a 3 d figure is put flat on the surface, showing each face of the figure.
A solid has different nets.
Answer:
Step-by-step explanation:
1.A
2.A
3.B
4.B
5.C
6.D
7.C
8.B
9.A
10.D
11.C
12.C
13.C
14.B
15.D
Find the distance between the given points. C(7, 1) and D(4, -6) Distance =
Answer:
√58
Step-by-step explanation:
What is the measure of FSM
The measure of angle FSM 92 degrees.
The given problem can be solved using the concept of Intersecting Lines, specifically the fact that vertical angles are equal.
Here, the angles WSU and FSM form vertical angles at point 'S' as the lines WM and FU intersect at this point.
Given that WSU = (5x+32) degrees and FSM = (7x+8) degrees, since they are vertical angles, we can set them equal to each other.
This gives, 5x + 32 = 7x + 8.
Now, by subtracting 5x from each side, we get 2x = 24.
Thus, dividing by 2 on both sides, we obtain 'x' as 12.
Substitute 'x' values in FSM = (7x+8) degree. So, FSM = (7*12+8) = 92 degrees.
Therefore, the measure of angle FSM is 92 degrees which makes the answer option A. Correct answer.
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The probable question may be:
Line WM and Line FU intersects each other at common point S
The angle between WSU is (5x+32) degree
The angle between FSM is (7x+8) degree
What is the measure of FSM
A. 92degree
B. 93 degree
C. 95 degree
D. 94 degree
ABCD is a square. What is the measure of angle BAC?
A. 90°
B. 45°
C. 15°
D. 135°
a corner in a square is 90%
the angle BAC is half that
90/2 = 45 degrees
Answer:
The correct option is B.
Step-by-step explanation:
Given information: ABCD is a square.
According to the property of square,
1. The measure of all interior angles of the square is 90°.
2. Diagonals are angle bisector.
In the given figure ABCD is square, so
[tex]\angle DAB=90^{\circ}[/tex]
AC is a diagonal of ABCD.
[tex]\angle DAC=\angle BAC[/tex]
We can say that
[tex]\angle DAB=\angle DAC+\angle BAC[/tex]
[tex]\angle DAB=\angle BAC+\angle BAC[/tex]
[tex]\angle DAB=2\angle BAC[/tex]
[tex]90^{\circ}=2\angle BAC[/tex]
Divide both sides by 90.
[tex]\frac{90^{\circ}}{2}=\angle BAC[/tex]
[tex]35^{\circ}=\angle BAC[/tex]
The measure of angle BAC is 45°. Therefore the correct option is B.
Determine the measures of the unknown labeled angles in the diagrams below:
The area of the irregular polygon is ____ square units.
what operation should be performed first to solve this problem?
the Johnson family can fly from Washington DC to London $18 per mile per person. The distance is 3,663 miles. how much will the trip cost if four people go?
A. addition
B. division
C. subtraction
D. multiplication
PLS HELP ME ASAP WITH A-C (CORRECT ANSWERS PLS!!) THANK YOU SM!!!!
Solve for L: S = B + 1/2L
Isolating L, it is found that the solution for L is given by:
[tex]L = 2(S - B)[/tex]
--------------------------
The equation is:
[tex]S = B + \frac{1}{2}L[/tex]
Leaving everything with L on one side, everything without on the other.
[tex]\frac{L}{2} = S - B[/tex]
[tex]L = 2(S - B)[/tex]
Which is the solution for L.
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The volume of a rectangular prism is 2,058cm. The Length of the prism is 3 times the width. The height is twice the width. Find the height of the prism?
v = l x w x h
v = 2058
width = x
height = 2x
length = 3x
2058 = 3x*2x*x =
2058 = 6x^3=
343 = x^3
x = 7
2*7 = 14
3*7 = 21
21*14*7 = 2058
height is 14 cm
When Lou started his current job, his employer told him that he would receive two vocation days for each full year he worked. How long will it take him to earn 18 paid vacation days?
By solving a linear equation, we will see that he needs to work for 9 years.
How long will take Lou to earn 18 vacation days?We know that for each year that he works, he gets 2 vacation days.
So we can write the linear equation:
y = 2*x
Where y is the number of vacation days, and x is the number of years that he worked.
We want to find the value of x such that y = 18, then we need to solve:
18 = 2*x
Solving for x w get:
18/2 = x = 9
This means that to get 18 vacation days, he needs to work for 9 years.
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Which point best approximates square root of 45
Answer:
The point best approximates √45 is C = 6.72
Step-by-step explanation:
We have to show the approximate square value of √45.
By solving √45 = √(5×9) = √5×√9 = 3√5 = 3×2.24 = 6.72
6.72 can be represented as point C on the given number line.
£2292.84 rounded to 2DP
The rounded solution of £2292.84 , is to two decimal places is £2292.84.
What is round off?Rounding off means a number is made simpler by keeping its value intact but closer to the next number. It is done for whole numbers, and for decimals at various places of hundreds, tens, tenths, etc.
here, we have,
given that,
£2292.84
its upto two decimal point.
so, rounded to two decimal point = £2292.84
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The number £2292.84, when rounded to two decimal places, remains unchanged as £2292.84 because the third digit after the decimal point is less than 5.
The student has asked to round the number £2292.84 to two decimal places. To round to two decimal places (2DP), you look at the third digit after the decimal point, which in this case is a 4. Since the third digit is less than 5, the second digit after the decimal point remains the same, and the number £2292.84 is already at two decimal places. Therefore, the rounded number is £2292.84.
please answer this question today itself
How many multiples of 5 are there between 81 and 358?
358-81 = 277
277/5 = 55.4
there are 55 multiples
Help me with this math man
Nicole bought a new TV at Target for $384.87. if the TV was on sale for 25% off and she paid with her red card which earned her another 5% off , and the tax rate is 8.25% what was the original price of the TV ? Be sure to show how you arrived at your answer
In the diagram which we must be true for point P to be the centroid of the triangle
Two angles in standard position that have the same terminal side are
There are two jars. One jar contains 2 red gum balls , 3 green gum balls ,and 1 yellow gumball.the other jar contains 2 blue balloons and 3 purple balloons . Jeff randomly draws one gumball and then balloon .what is the probability that he will draw a green gumball and a blue balloon?
A.1/15
B.2/15
C.1/5
D.3/10
Answer: 3/10 I had the same problem on a test and this was correct
RS=5y+5, ST=3y+7, and RT=12y-20 what is the value of y?
Answer:
-12 or 8
Step-by-step explanation:
at 3:00a.m,the temperature is -5°F. Between 3:00a.m. and 6:00 a.m.,the temperature drops by 12°F. Between 6:00a.m. and 9:00a.m., the temperature rises by 4°F. What is the temperature at 9:00a.m.?
A basketball has a radius of 12.5 inchesWhat would be the volume of the basketball?
The volume of a basketball with a radius of 12.5 inches is calculated using the formula for the volume of a sphere (4/3πr³). The result approximates to 8177.083 cubic inches.
Explanation:The volume of a sphere, like a basketball, can be calculated using the formula 4/3πr³. Here, r is the radius of the sphere. As specified, the radius of the basketball is 12.5 inches. So, we just need to plug that into our formula:
Volume = 4/3 * π * (12.5)^3 , value of π is 3.14 approximately.
When you calculate the above expression, you'll find the volume of the basketball is approximately 8177.083 cubic inches.
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Kevin is six years older than his twin sisters. The sum of the three children’s ages is the same as their 42 year old dad’s age. How old are the children?
The question involves solving a basic algebra problem to determine the ages of three children. By setting up an equation based on the given information, we find that each twin sister is 12 years old and Kevin is 18 years old.
Explanation:The question revolves around finding the ages of three children, Kevin and his twin sisters, given that Kevin is six years older than his twin sisters and the sum of their ages equals their father's age, who is 42 years old. First, let's denote the age of each twin sister as x. Since Kevin is six years older, his age will be x + 6. The sum of their ages equals their father's age, which is given as 42 years. Therefore, the equation to find their ages will be:
[tex]x + x + (x + 6) = 42[/tex]
This simplifies to:
3x + 6 = 42
Subtracting 6 from both sides gives:
3x = 36
Dividing by 3:
x = 12
So, the age of each twin sister is 12 years, and Kevin's age is 12 + 6 = 18 years.
Suppose you feel hungry so you reach for a plum you see in a fruit bowl. explain how both external and internal stimuli are involved in your action
In the given scenario above, the one who will be named as the external stimulus is the action of having to use the sense of sight when you have seen the fruit of bowl. The internal stimulus will be the action of having to feel the hunger.
The quantity demanded of a certain brand of DVD player is 3000/wk when the unit price is $485. For each decrease in unit price of $40 below $485, the quantity demanded increases by 500 units. The suppliers will not market any DVD players if the unit price is $334 or lower. But at a unit price of $559, they are willing to make available 2500 units in the market. The supply equation is also known to be linear.
A block of wood is 0.2 meters (m) by 0.1 m by 0.5 m. find its dimensions in centimeters
Write the equation of the line through the given point. Use slope-intercept form.
(-6,1);perpendicular to y= -6/5 x -4