Hello ~
My name is Irxdscent, and I will be answering your question today! :D
[tex]\huge\pmb{\frak{\underline{Answer:}}}[/tex]
[tex]\sf{x = 1}[/tex]
[tex]\huge\pmb{\frak{\underline{Explanation:}}}[/tex]
[tex]\sf{\frac{x}{5} \: + \: \frac{(x \: - \: 1)}{3} = \frac{1}{5}[/tex]
[tex]\sf{\frac{x}{5} \: + \: \frac{x \: - \: 1}{3} = \frac{1}{5}[/tex]
Find The Least Common Multipler of [tex]\bold{^5^,^3^: \: ^1^5}[/tex]Multiply by LCM = [tex]\bold{15}[/tex]
[tex]\sf{\frac{x}{5} \: . \: 15 \: + \frac{x \: - \: 1}{3} \: . \: 15 = \frac{1}{5} \: . \: 15}[/tex]
Simplify :[tex]\sf{3x \: + \: 5(x \: - \: 1) = 3[/tex]
Expand [tex]\sf{^5^(^x \: ^- \: ^1^)^: \: ^5^x \: ^- \: ^5}[/tex][tex]\sf{3x \: + \: 5x \: - \: 5 = 3}[/tex]
Add similar elements: [tex]\sf{^3^x \: ^+ \: ^5^x \: ^= \: ^8}[/tex][tex]\sf{8x \: - \: 5 \: + \: 5 \: = 3 \: + \: 5}[/tex]
Simplify :[tex]\sf{8x \: = \: 8[/tex]
Divide both sides by [tex]\bold{8}[/tex][tex]\sf{\frac{8x}{8} = \frac{8}{8}[/tex]
Simplify :[tex]\sf{x = 1}[/tex]
Hope It Helps! ~
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[tex]\underline{Answer :}[/tex]
ɪ ʀ x ᴅ ꜱ ᴄ ᴇ ɴ ᴛ
Answer:
x = 1Step-by-step explanation:
In the question we have given an equation that is x / 5 + ( x - 1 ) / 3 = 1 / 5 . And we are asking to solve the equation that means we have to find the value of x.
Solution : -
[tex] \longmapsto \qquad \dfrac{x}{5} + \dfrac{(x - 1)}{3} = \dfrac{1}{5} [/tex]
Step 1 : Bye taking L.C.M solving left side :
[tex] \longmapsto \qquad \dfrac{3x + 5(x - 1)}{15} = \dfrac{1}{5} [/tex]
On further calculations, We get :
[tex] \longmapsto \qquad \dfrac{3x + 5x - 5}{15} = \dfrac{1}{5} [/tex]
[tex] \longmapsto \qquad \dfrac{8x - 5}{15} = \dfrac{1}{5} [/tex]
Step 2 : Multiplying 15 on both sides :
[tex] \longmapsto \qquad \dfrac{8x - 5}{ \cancel{15}} \times \cancel{15 } = \dfrac{1}{ \cancel{5}} \times \cancel{15}[/tex]
On further calculations, We get :
[tex] \longmapsto \qquad 8x - 5 = 3[/tex]
Step 3 : Adding 5 on both sides :
[tex] \longmapsto \qquad8x - \cancel{5} + \cancel{ 5} = 3 + 5[/tex]
On further calculations, We get :
[tex] \longmapsto \qquad8x = 8[/tex]
Step 4 : Dividing with 8 on both sides :
[tex] \longmapsto \qquad \dfrac{ \cancel{8}x}{ \cancel{8}} = \cancel{\dfrac{8}{8} }[/tex]
On further calculations, We get :
[tex] \longmapsto \qquad \blue{\underline{\blue{\boxed{ \frak{x = 1}}}}}[/tex]
Henceforth, value of x is 1 .Verifying : -
We are verifying our answer by substituting value of x in the given equation . So ,
x / 5 + ( x - 1 ) / 3 = 1 / 51 / 5 + (1 - 1 ) / 3 = 1 / 51 / 5 + 0 / 3 = 1 / 5 (0 / 3 is equal to 0) 1 / 5 + 0 = 1 / 51 / 5 = 1 / 5 L.H.S = R.H.SHence , Verified .Therefore, our solution is correct .
#Keep LearningIn this situation, simple interest is calculated yearly.
How much interest was earned?
Principal: $12,000
Time: 3 years
Interest rate: 15%
Question 6 options:
$5,400.00
$1,800.00
$17,400.00
$12,000.00
Answer:
Step-by-step explanation:
$5,400
Pls hurry and ty!!!!
Answer: 64
Step-by-step explanation:
So if the length of an edge is 4, the volume is 4 x 4 x 4 = 64 Or as a formula: volume = s3 where: s is the length of any edge of the cube.
Answer:
64 feet
Step-by-step explanation:
LxHxW
4x4x4
64 feet
Is km ∥ jn? why or why not? no, because startfraction 16 over 10 endfraction not-equals startfraction 24 over 15 endfraction. yes, because startfraction 10 over 24 endfraction equals startfraction 15 over 16 endfraction. yes, because startfraction 16 over 10 endfraction equals startfraction 15 over 24 endfraction yes, because startfraction 16 over 10 endfraction equals startfraction 24 over 15 endfraction.
The answer is Yes because StartFraction 16 Over 10 EndFraction equals StartFraction 24 Over 15 EndFraction is correct.
From the diagram we have
Corresponding segments in triangles LKM and LJN are proportional, so the triangles are similar and KM ║ JN.
What is the meaning of a parallel line?The parallel line does not intersect each other
The other yes choice does not properly show corresponding segments
So, actually makes a false claim.
It is not true that 16/10 = 15/24.
To learn more about the fraction visit:
https://brainly.com/question/78672
Answer: Yes, 16/10 equals 24/15
Step-by-step explanation: bc im cool like that
Find the least number 1008 would need to be multiplied by to give a square number :)
Answer:
7
Step-by-step explanation:
1008 Must be multiplied by 7 to get a a perfect square.
Which expression is equivalent
Answer:
The answer is 5 or D
Hope this helps!
Sal and Zack built a scale model of the Texas Capitol using a scale in which 2 inches represents 8 feet. The height of the Texas Capitol is 312 feet.
Problem
What is the height of the scale model in inches?
Fractions are rations of two integers. The height of the scale model in inches is 78 inches
Ratio and proportionsFractions are ratios of two integers and they are also used to represent ratios.
Given that scale model of the Texas Capitol is 2 inches to represents 8 feet, the height of the capitol in inches is the heght in feet is 312 feet is expressed as:
Height = 312 * 2/8
Height in inches = 312/4
Height in inches = 78 inches
Hence the height of the scale model in inches is 78 inches
Learn more on proportion here: https://brainly.com/question/19994681
here it is : Forty of Laurens 50 answers were correct .What percent of Laurens answers were correct.
Answer:
80%
Step-by-step explanation:
using equivalent fractions:
40/50 = 80/100 = 80%
also since 50 is half of 100 (in other words 100%), you can just multiply 40 by 2 to get a number out of 100 which is your percentage
hope this helped :)
A fish can swim up to 40 miles per hour. What is this speed in feet
(1 mile = 5,280 feet)
per hour?
Answer:
one mile is 5280 feet
40 x 5280 = 211,200 feet per hour
pretty sure im right
Evaluate 7+ (-3x?) for x = 0.
Answer:
it's just 7
Step-by-step explanation:
because if x is 0 then -3 times 0 will be 0 and 7 + 0 is 7
Worth 33 points!
What is the solution to the system of equations shown in the graph?
(1, -3)
(0, 2)
(-2, 0)
(-3, 1)
Answer:
(-3,1)
Step-by-step explanation:
As their are two lines so these are simultaneous linear equations
The solution is the point or coordinate at which they intersect with each otherHence this is (-3,1)
Note: The solution of a graph is the intersection of 2 lines.
Plotting the solution on the graph:
To plot the solution on the graph,
Look for the intersection point of the two lines. Make a dot on the graph to represent the solution.Identifying a solution on the graph:
To identify the solution, you willl need to determine it's coordinates.
1. Determine the x and y coordinate by drawing a line going downwards and rightwards. Keep in mind that the intersection of the lines on the x and y axis are the x and y coordinates repectively.
(It is suggested that the line should be drawn with a ruler).2. The x and y coordinate obtained should be put in (x,y) form.
Determining the solution on the graph:
⇒ Intersection point: (x, y) = (x = -3; y = 1) = (-3, 1) [Refer to image]
The sum of the 2 numbers is 83. The difference of the 2 numbers is 13. What is the product of the 2 numbers?
Answer:
1680
Step-by-step explanation:
To find the product of the two numbers, you can work out the values of the numbers, or you can work directly with the sum and difference figures.
__
Deriving the formulaWe note that the square of a sum is ...
(a +b)² = a² +2ab +b²
and the square of a difference is ...
(a -b)² = a² -2ab +b²
The difference of these squares is ...
(a +b)² -(a -b)² = (a² +2ab +b²) -(a² -2ab +b²) = 4ab
__
Using the formulaThat is, dividing the difference of the squares of the sum and difference by 4 will give the desired product:
P = (83² -13²)/4 = (6889 -169)/4 = 6720/4 = 1680
The product of the two numbers is 1680.
_____
Additional comment
If we factor the formula we derived, we find ...
P = ((a +b)² -(a -b)²)/4 = ((a +b) +(a -b))/2 × ((a +b) -(a -b))/2
This simplifies to ...
(2a)/2 × (2b)/2 = a × b
In short:
a = ((a +b) +(a -b))/2, the average of the sum and differenceb = ((a +b) -(a -b))/2, half the difference of the sum and differenceUsing this fact, we find a=(83+13)/2 = 48; b=(83-13)/2 = 35, and the product is (48)(35) = 1680, as above.
True or false. A complete graph is planar
Answer:
true
Step-by-step explanation:
Looking at the stock performance chart below, which company has overall
outperformed the Dow Jones (DJI)?
O A. Domino's Pizza (DPZ)
O B. McDonald's (MCD)
O C. Papa John's Pizza (PZZA)
O D. Jet Blue (JBLU)
Answer:
We cant see the full image.
Step-by-step explanation:
For questions 1-2, find each area.
1. a rectangle with sides of lengths 1/6 yard and 3/4 yard (WORTH 20 POINTS)
Answer:
the area of rectangle should be 1/8 square
Step-by-step explanation:
1/6*3/4
=1/8
A. 100 degrees
B. 130 degrees
C. 65 degrees
D. 70 degrees
A bag contains 4 red marbles, 3 blue marbles, and 5 green marbles. One marble is
removed from the bag.
What is the probability that it is NOT red?
Answer:
2/3
Step-by-step explanation:
Add all the number of marbles which is 12. 8 of them are not red. 8/12 when simplified equals 2/3.
Need help with this!!
Answer:
∠ N = 42°
Step-by-step explanation:
the measure of a secant- secant angle is half the difference of the measures of the intercepted arcs , that is
∠ N = [tex]\frac{1}{2}[/tex] ( HE - XP ) = [tex]\frac{1}{2}[/tex] ( 122 - 38)° = [tex]\frac{1}{2}[/tex] × 84° = 42°
Help please i don't want to get held back
height of mt.= 4000meters
hope it helps...!!!
SOLVE.
1/2 (X-3/4) = 5/12
[tex]~~~~~\dfrac 12 \left(x-\dfrac 34 \right) = \dfrac 5{12}\\\\\\\implies \dfrac{4x-3}4= \dfrac{5 \times 2}{12}\\\\\\\implies 4x-3 = \dfrac{5 \times 2 \times 4}{12}\\\\\\\implies 4x -3=\dfrac{40}{12}\\\\\\\implies 4x -3 = \dfrac{10}3\\\\\\\implies 4x = \dfrac{10}3 +3\\\\\\\implies 4x = \dfrac{19}3\\\\\\\implies x = \dfrac{19}3 \times \dfrac 1 4\\\\\\\implies x = \dfrac{19}{12}[/tex]
answer this for 20 points
Which equation represents the line that passes through (–6, 7) and (–3, 6)? y = –y equals negative startfraction one-third endfraction x plus 5.x 9 y = –y equals negative startfraction one-third endfraction x plus 5.x 5 y = –3x – 11y y = –3x 25
The equation represents the line that passes through (–6, 7) and (–3, 6) [tex]\rm y=\dfrac{-1}{3}x+5[/tex].
What is the slope of the equation?For all lines in slope y-intercept form, it would be very simple to just find the answer by finding yourself the slope and y-intercept of the line in question.
The slope of the line is;
[tex]\rm m = \dfrac{y_2-y_1}{x_2-x_1}\\\\m =\dfrac{7-6}{-6-(-3)}\\\\m = \dfrac{1}{-3}[/tex]
The equation represents the line that passes through (–6, 7) and (–3, 6) is;
[tex]\rm y=\dfrac{-1}{3}x+b\\\\6=\dfrac{-1}{3}(-3)+b\\\\6=1+b\\\\b = 6-1\\\\b=5[/tex]
The required line of the equation is;
[tex]\rm y =mx+c\\\\y=\dfrac{-1}{3}x+5[/tex]
Hence, the equation represents the line that passes through (–6, 7) and (–3, 6) [tex]\rm y=\dfrac{-1}{3}x+5[/tex].
To know more about the equation of line click the link given below.
https://brainly.com/question/8955867
Answer:
I'm pretty sure the answer is B sorry if I'm wrong
Step-by-step explanation:
Please help
I will give a maybe brainly 3-5 stars and a thanks
Let's simplify this equation:
⇒ first, consider what we can simply typically
A variable is a letter whose value is unknown in an algebraic expression.The coefficient is a numerical value used together with a variable.A constant is a term that has a definite value.Like terms are variables with the same letter and power. Like terms can sometimes contain different coefficients.By considering the equation given
⇒ we can simply simplify the coefficient of the variable with the
denominator
[tex]\frac{20v}{5} =\frac{5*4*v}{5} =\frac{5}{5}*4*v =1*4*v=4v[/tex]
Thus the simplified expression is 4v
Answer: 4v
Hope that helps!
don't spam!!
read the instruction first
complete answe= Brainliest answer
Answer:
Step-by-step explanation:
3)
[tex]\sf \boxed{v_{f}^{2}=v_{i}^{2}+2gd_{y}}\\\\v_{f} - > final \ velocity\\\\v_{i} - > Initial \ velocity = 0 \\\\d_{y} - > distance \ travelled[/tex]
g -> gravitational acceleration = 9.8 m/s²
[tex]v_{f}^{2}= 0 + 2*9.8 * 45[/tex]
= 882 m
[tex]\bold{\huge{\underline{ Answer }}}[/tex]
Answer 1 :-Here, We have
Initial velocity = 0 , as jeepney started from rest Time = 2 seconds Distance = 20 mTherefore,By using second equation of motion
[tex]\sf{ S = ut {\times} }{\sf{\dfrac{1}{2}}}{\sf{at^{2}}}[/tex]
Subsitute the required values,
[tex]\sf{ 20 = 0{\times}2 {\times} }{\sf{\dfrac{1}{2}}}{\sf{{\times}a(2)^{2}}}[/tex]
[tex]\sf{ 20 = }{\sf{\dfrac{1}{2}}}{\sf{{\times}4a}}[/tex]
[tex]\sf{ 20 = 2a }[/tex]
[tex]\sf{ a = }{\dfrac{ 20}{2}}[/tex]
[tex]\sf{ a = 10\:m/s^{2}}[/tex]
Hence, The acceleration of the jeepeny is 10 m/s² .
Answer 2 :-Here, we have
Initial velocity = 0 , as the coins started rolling from rest. Acceleration = 4 m/s²Time = 3 secondsTherefore,
By using second equation of motion
[tex]\sf{ S = ut {\times} }{\sf{\dfrac{1}{2}}}{\sf{at^{2}}}[/tex]
Subsitute the required values,
[tex]\sf{ S = 0{\times}3 {\times} }{\sf{\dfrac{1}{2}}}{\sf{{\times}4(3)^{2}}}[/tex]
[tex]\sf{ S = }{\sf{\dfrac{1}{2}}}{\sf{{\times}4(9)}}[/tex]
[tex]\sf{ S = }{\sf{\dfrac{1}{2}}}{\sf{{\times}36}}[/tex]
[tex]\sf{ S = 18 \: m }[/tex]
Hence, The coin will reach 18 m after 3 seconds.
Answer 3 :-Here,
A stone fell from a 45 m high cliff and hit the ground.So,
Initial velocity = 0Distance = 45 mAcceleration due to gravityBy using third equation of motion
[tex]\sf{ v^{2} = u^{2} + 2gs }[/tex]
Subsitute the required values,
[tex]\sf{ v^{2} = 0^{2} + 2{\times}9.8{\times}45 }[/tex]
[tex]\sf{ v^{2} = 90{\times}9.8}[/tex]
[tex]\sf{ v^{2} = 882 m}[/tex]
[tex]\sf{ v = \sqrt{882} m}[/tex]
[tex]\sf{ v = 29.7 m/s}[/tex]
Hence, The final velocity of the stone when the stone hits the ground is 29.7 m.
Two inscribed angles that intercept the same arc are.
Answer:
In a circle, any two inscribed angles with the same intercepted arcs are congruent. Hope this helps!
Write an equation to determine the unknown side. Then solve the equation. Simplify your answer. Round to the nearest tenth, if necessary.
Show your work.
A right triangle is shown. The hypotenuse is labeled 12, one leg is labeled 4, and the other leg is labeled x.
Which statements describe the graph of y = 4x2 28x 49? check all that apply. the graph has two x-intercepts because 4x2 28x 49 has two different factors. the equation 2x 7 = 0 can be used to find a zero of the function. the equation (2x – 7)2 = 0 can be used to find the y-intercept. the graph has a double root at x = startfraction negative 7 over 2 endfraction. the graph intersects the y-axis at y = 49.
The true statements about the graph y = 4x2 + 28x + 49 are as follows;
(b) The equation 2x + 7 = 0 can be used to find a zero of the function.
(d) The graph has a double root at x = -7/2.
(e) The graph intersects the y-axis at y = 49.
What is the function of the graph?The graph of a function f is the graph of the equation y = f (x).
The function is given as:
[tex]\rm y = 4x^2 + 28x + 49[/tex]
Express 28x and 14x + 14x; so, we have:
[tex]\rm y = 4x^2 + 14x+14x + 49[/tex]
Factorize
[tex]\rm y = 4x^2 + 14x+14x + 49\\\\y = 2x(2x+7)+7(2x+7)\\\\y=(2x+7)(2x+7)[/tex]
Express as a perfect square
[tex]\rm y = (2x+7)^2[/tex]
This means that the graph of the equation has a double root.
It also means that 2x + 7 = 0 can be used to determine the root/zero of the function.
Substitute 0 for x in to determine the y-intercept
[tex]\rm y = (2x+7)^2\\\\\rm y = (2(0)+7)^2\\\\\rm y = (0+7)^2\\\\y=49[/tex]
This means that the graph intersects with the y-axis at y = 49
Hence, the true statements are (b), (d), and (e)
Read more about quadratic functions at:
brainly.com/question/11441586
Answer:
b,d, and ,e
Step-by-step explanation:
trust i just did it
fine using distributive
(7/27×9/36)+ (9/36×5/54)
Answer:
GCF and the Distributive Property - YT here is a yt video on how to do it hope it helps i just looked up the answer
Step-by-step explanation:
find the circumference of the circle
Answer:
25.133cm
Step-by-step explanation:
Im assuming 8cm is the diameter
circumference = πd
8π=25.133
Brainliest would be very much appreciated
help me pleaseeeeeeeeee
Answer:
g(-2) = -1
Step-by-step explanation:
By looking at the graph, we can see that g(-2) where x = -2 is represented. Because x = -2, we can see that the y-value that correlates to this x-value is -1.
So g(-2) = -1.
need answers quicklyyyyyyyyyyyyyyyyyyyyy will give the brainiest and 80 points
1:Simplify the following expression completely for x = 4. (Leave your answer as a fraction or whole number. Remember, you may need to substitute 4 in for x and then solve.)
14(x^-2) this is 1
2:Which expressions have values less than 1 when x = 4? Select all that apply.
1>(3/x^2)^0
2>x^0/3^2
3>1/6^-2
4>1/^-3
5>3x^-4
Answer:
i think 4>1/^-3 im not sure tho i hope this helps
Step-by-step explanation
Answer:
1.(3/(4)^2)^0=1
2.(4)^0/3^2-0.1111111111
3.1/6^-2=36
4.1/(4)^-3=64
5.3(4)^-4=4.82253086×10−5
Step-by-step explanation:
hope this helps
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