Given :
[tex]\: {\qquad \sf \dfrac{4}{6} x + \dfrac{10}{4} = - \dfrac{6}{8}x - 10 }[/tex]
⠀
To Find :
The value of x.⠀
Solution :
[tex] {\qquad \sf \dashrightarrow \: \dfrac{4}{6} x + \dfrac{10}{4} = - \dfrac{6}{8}x - 10 }[/tex]
⠀
Subtracting [tex] \sf \: \dfrac{10}{4} [/tex] from both sides :
[tex] {\qquad \sf \dashrightarrow \: \dfrac{4}{6} x \: \: \cancel{+ \dfrac{10}{4}} \: \: \cancel{- \dfrac{10}{4}} = - \dfrac{6}{8}x - 10 - \dfrac{10}{4} }[/tex]
⠀
Adding [tex] \sf \dfrac{6}{8} x[/tex] to both sides :
[tex]{\qquad \sf \dashrightarrow \: \dfrac{4}{6} x + \dfrac{6}{8}x = \cancel{- \dfrac{6}{8}x } \: \: \cancel {+ \: \dfrac{6}{8}x} - 10 - \dfrac{10}{4} }[/tex]
[tex]{\qquad \sf \dashrightarrow \dfrac{4}{6} x + \dfrac{6}{8}x = - 10 - \dfrac{10}{4}}[/tex]
⠀
Adding the like terms :
[tex]{\qquad \sf \dashrightarrow \dfrac{32x + 36x}{24} = \dfrac{ - 40 - 10}{4} }[/tex]
[tex]{\qquad \sf \dashrightarrow \dfrac{68x}{24} = \dfrac{ - 50}{4} }[/tex]
[tex]{\qquad \sf \dashrightarrow \dfrac{34x}{12} = \dfrac{ - 25}{2} }[/tex]
⠀
By doing cross multiplication we get :
[tex]{\qquad \sf \dashrightarrow {68x} = - 300 }[/tex]
[tex]{\qquad \sf \dashrightarrow {x} = \dfrac{ - 300}{68} }[/tex]
[tex]{\qquad \bf \dashrightarrow {x} = \dfrac{ - 75}{17} }[/tex]
Consider the two-way table below. A 4-column table has 3 rows. The first column has entries A, B, total. The second column is labeled C with entries 15, 9, 24. The third column is labeled D with entries 21, 25, 46. The fourth column is labeled Total with entries 36, 34, 70. Find P(B|C). P(B|C) = StartFraction 9 Over 34 EndFraction = 0. 26 P(B|C) = StartFraction 9 Over 24 EndFraction = 0. 38 P(B|C) = StartFraction 9 Over 70 EndFraction = 0. 13 P(B|C) = StartFraction 9 Over 58 EndFraction = 0. 16.
The probability is the ratio of the favorable event to the total number of events. Then the P(B|C) is 0.38. Then the correct option is B.
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen.
According to the condition, the table will be
C D Total
A 15 21 36
B 9 25 34
Total 24 46 70
The probability of the (BIC) will be
[tex]\rm P(B|C) = \dfrac{9}{24}\\\\\\P(B|C) = 0.375 \approx 0.38[/tex]
The P(B|C) is 0.38. Then the correct option is B.
More about the probability link is given below.
https://brainly.com/question/795909
prove that the statement is true
AC ≅DB
Answer:
Can't answer with out the picture
Step-by-step explanation:
how do you solve x for a triangle with 33 and 38 degrees?
Answer:
x=109 degrees
Step-by-step explanation:
so 33+39+x=180 degrees because of sum of angles in a triangle theorem. Then now you solve because of algebra
Just do 33+38+X=180, add 38 and 33 to get 71 then subtract that from 180. X=109
Busy Bees Charter school is going to celebrate the end of the school year at an amusement park. Student tickets at the amusement park are $20 each, and adult tickets are $35 each. The bus of 42 people paid $1080 to enter the amusement.
Part A
If x is the number of students and y is the number of adults, write a system of equations to represent the situation.
Cost:
20x+35y=1080
People:
x+y=42
Part B
Solve the system of equations using elimination or substitution. Show your work.
x =
y =
Part C
What does the solution of the system mean in this situation?
The number of people that went to the amusement park consisted of 26 students and 16 adults.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let x is the number of students and y is the number of adults. The bus of 42 people paid $1080 to enter the amusement. Hence:
x + y = 42 (1)
Also:
20x + 35y = 1080 (2)
From equation 1 and 2:
x = 26, y = 16
The number of people that went to the amusement park consisted of 26 students and 16 adults.
Find out more on equation at: https://brainly.com/question/2972832
Help me with number three
Answer:
Volume: 16.76 cm^3
Surface area: 40.67 cm^2
Step-by-step explanation:
To find volume, you use the formula V=πr^2*h/3
To find the surface area you use formula A=πr(r+√h^2+r^2)
Answer:
V = 16.76
Surface Area = 40.67
Step-by-step explanation:
V=πr2h
A=πrl+πr2
Aimee has 3.50 pounds of hamburger meat. What is the greatest number of 0.25-pound hamburgers Aimee can make using the hamburger meat she has?
An initial amount of $2700 is invested in an account at an interest rate of 3% per year, compounded continuously. Find the amount in the account
after four years. Round your answer to the nearest cent.
Answer:
the answer is 324.0 show in the workings
If the Length of Rectangle is 12 cm and the Breadth is 10 cm . Find its Area .
Answer:
120 cm^2
Step-by-step explanation:
The area of a rectangle is it's length(l) times its width(w):
Area = l*w
Area = (12 cm)*(10 nm) = 120 cm^2
Question :-
If the Length of Rectangle is 12 cm and the Breadth is 10 cm . Find its Area .Answer :-
Area of Rectangle is 120 cm² .[tex] \rule {180pt} {2pt} [/tex]
Given :-
Lenght of Rectangle = 12 cmBreadth of Rectangle = 10 cmTo Find :-
Area of Rectangle = ?Solution :-
As per the provided information in the given question, we have been given that the Lenght of Rectangle is 12 cm . Breadth of Rectangle is given 10 cm . And, we have been asked to calculate the Area of Rectangle .
For calculating the Area , we will use the Formula :-
[tex] \sf {Area \: of \: Rectangle = Lenght \times Breadth} [/tex]Therefore , by Substituting the given values in the above Formula :-
⇒ Area of Rectangle = Lenght × Breadth
⇒ Area of Rectangle = 12 × 10
⇒ Area of Rectangle = 120
Hence :-
Area of Rectangle = 120 cm² .[tex] \underline {\rule {180pt} {4pt}} [/tex]
What is the value of t?
Answer:
43
Step-by-step explanation:
The midpoint between y and 31 is -5. Find y
The dot plots show the number of pizzas sold each day for 2 weeks at Cheezy Pizza. To the nearest tenth, what is the difference between the mean numbers of pizzas sold between the two weeks?
Answer:
Is there a picture or something?
Step-by-step explanation:
Camilla spins a game spinner 1800 times. The spinner is divided into six equally
spaced sections numbered 1-6.
Theoretically, how many times should she expect to spin a 2?
Answer:
It would most likely be 25 but there is no definitive way to tell if it would land on 5 at all since it is all up to chance on a spinner, unless it was computer generated then it would be probability.
Step-by-step explanation:
The number of times Camilla should expect to spin a 2 is 600.
What is the probability?Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.
Given that, Camilla spins a game spinner 1800 times.
The spinner is divided into six equally spaced sections numbered 1-6.
Probability of getting 2 is 2/6
= 1/3
Spin 1800 times
1/3×1800
= 600
Therefore, the number of times Camilla should expect to spin a 2 is 600.
To learn more about the probability visit:
https://brainly.com/question/11234923.
#SPJ2
Autumn has a bag full of M&M's candies. There are 6 brown, 5
blue, 8 yellow, 4 red, and 2 orange candies in the bag. Determine
the probability that Autumn will randomly select a candy that is
NOT orange.
O likely
O as likely as not
O unlikely
O certain
Answer:
Highly highly likely
Step-by-step explanation:
there is really only a 2/25 chance to pull one, so there is a 23/25 chance to not pull an orange
47/100+3/10+47/100=/100
Answer:
The total is 97/100
Step-by-step explanation:
47/100+3/100=50/100 (aka 1/2)
50/100+47/100=97/100
Answer:
47/100+3/10+47/10=97/100
¹
47
47
+3
__
97
In a class of 28 students, 15 earned an A on the final exam, 10 earned an A for the entire course, and 7
earned an A for both the final exam and the entire course. What is the probability that a randomly
selected student in this class did not earn an A on the final exam and did not earn an A for the entire course
The probability a student did not earn an A on the final exam or entire course is 75%.
What is probability?This refers to the likeliness for an event to occur, which can be expressed using percentages.
How to calculate the probability?The general formula is the number of specific outcomes/ total of outcomes.
What is the probability in this case?The number of students who did not earn an A on the final exam or entire course: 21 (only 7 students earned an A on both)
Total outcomes or students: 2821/28 = 0.75 or 75%.Learn more about percentage in: https://brainly.com/question/8011401
if (4x - 58) + x = 2, what is x??
First, combine like terms:
4x -58 +x =2 can be rewritten as 5x - 58 =2
Next, isolate the x on one side of the equation by adding 58 to both sides:
5x = 60
Now, isolate x again by dividing by 5 on both sides of the equation:
Answer: x = 12
22x+100=25x+70
Find the X
Answer:
X=10
Step-by-step explanation:
Step 1: Subtract 100 from both sides of the equation.
Step 2: Simplify.
Step 3: Subtract 25x from both sides of the equation.
Step 4: Simplify.
Step 5: Divide both sides of the equation by the same term.
Step 6: Simplify.
X=10 :)
Answer:
x = 10Step-by-step explanation:
In this question we are given an equation that is 22x + 100 = 25x + 70. And we are asked to find the value of x .
Solution : -
[tex] \longmapsto \:22x + 100 = 25x + 70 [/tex]
Step 1 : Subtracting 100 from both sides :
[tex] \longmapsto \:22x + \cancel{100} - \cancel{100} = 25x + 70 - 100[/tex]
On further calculations we get :
[tex] \longmapsto \: 22x = 25x - 30[/tex]
Step 2 : Subtracting 25x from both sides :
[tex] \longmapsto \:22x - 25x = \cancel{ 25x} - \cancel{25x }- 30[/tex]
On further calculations we get :
[tex] \longmapsto \: \cancel{- }3x = \cancel{ - }30[/tex]
Step 3 : Dividing with 3 on both sides :
[tex] \longmapsto \: \frac{ \cancel{3}x}{ \cancel{3}} = \cancel{\frac{30}{3} }[/tex]
On further calculations we get :
[tex] \longmapsto \: \purple{\boxed{ \frak{x = 10}}}[/tex]
Henceforth , value of x is 10 .Verifying : -
We're verifying our answer by substituting value of x in given equation . So ,
22x + 100 = 25x + 7022 ( 10 ) + 100 = 25 ( 10 ) + 70220 + 100 = 250 + 70320 = 320L.H.S = R.H.S Hence, Verified.Therefore, our value for x is correct .
#Keep LearningSolve for m please quickly
Slope:-
[tex]\\ \rm\rightarrowtail m=\dfrac{5-2}{2-1}[/tex]
[tex]\\ \rm\rightarrowtail m=\dfrac{3}{1}[/tex]
[tex]\\ \rm\rightarrowtail m=3[/tex]
ayudenme por favor el lunes entro a clases y tengo que entregarla
Answer:
yolo its a pdf yolo sub to juice_fox
ive been struggling all day
Answer:
9x³
Step-by-step explanation:
I hope this makes sense, whatever is underlined becomes part of our algebraic expression in the next line:
9 is multiplied by the cube of a number.
9 * the cube of a number.
9 * the cube of x.
9 * x³
9x³
Use synthetic division to solve (4 x cubed minus 3 x squared 5 x 6) divided by (x 6). what is the quotient?
Polynomials are expressions. The solution of the division can be written as [tex]4x^2-27x+167-\dfrac{996}{x+6}[/tex].
What is a polynomial?Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.
The division of the polynomial (4x³-3x²+5x+6) when divided by (x+6), can be done in the following manner,
[tex]\dfrac{4x^3-3x^2+5x+6}{x+6}[/tex]
[tex]=4x^2+\dfrac{-27x^2+5x+6}{x+6}[/tex]
[tex]=4x^2-27x+\dfrac{167x+6}{x+6}[/tex]
[tex]=4x^2-27x+167+\dfrac{-996}{x+6}\\\\\\=4x^2-27x+167-\dfrac{996}{x+6}[/tex]
Hence, the solution of the division can be written as [tex]4x^2-27x+167-\dfrac{996}{x+6}[/tex].
Learn more about Polynomial:
https://brainly.com/question/17822016
Answer:
Step-by-step explanation:
OPT D ON EDG 2023
4. Rajahn thought his
bookcase was 80" tall.
It was actually
75.75". What was his
percent error rounded
to the nearest tenthe
Will mark Brainlyest
Answer:
the erroris 3.6%
Step-by-step explanation:
Write As an equation
Answer:
x + 8 = 20
Step-by-step explanation:
Using the keywords;
'more than' (addition)
'a number' which we can consider a variable
and 'equals'
Answer: 8 + x =20
Step-by-step explanation: eight more than a number means 8 more than meaning plus, a number. So this is saying that 8 more than what ever that number is, will equal 20. We say x in the equation because x can be see as “the number”.
x = “the number” = 12
This is because 8 more than 12 is 20...
So 8 more than a number = 8 + x = 20
Halpppppppp
-
-
-
-
-
Step-by-step explanation:
x = number of t- shirts
the function for the incurring costs is
c = 5x + 45
the function for the accumulating sale is
s = 20x
the break even point is when both functions deliver the same result.
20x = 5x + 45
15x = 45
x = 3
c = s = 5×3 + 45 = 20×3 = $60
they need to sell 3 t-shirts to break even.
at that point they will have incurred $60 in costs and collected the same amount in sales.
can u round it to the nearest tenth
Answer:
4.2
Step-by-step explanation:
Using Pythagoras' theorem
a² + b² = c² where a = 3 and b = 3
3² + 3² = 18²
18² = c²
√18 = c = 4.2
What is the measure of ∠ABD?
Answer: 114 degrees
Step-by-step explanation:
After 24 years, Rama will be 5 times as old as he is now . Find his Present Age .
Question :-
After 24 years, Rama will be 5 times as old as he is now . Find his Present Age .Answer :-
Present Age of Rama is 6 Years .[tex] \rule {180pt} {2pt} [/tex]
Given :-
After 20 years, Rama will be 5 times as old as he is Now .To Find :-
Present Age of Rama = ?Solution :-
As per the provided information in the given question, we have been given that After 20 years, Rama will be 5 times as old as he is now. And, we have been aksed to calculate Present Age of Rama.
Let :-
The Present Age of Rama be x .Therefore :-
[tex] \longmapsto \: \: \:\sf{x \: + \: 24 \: = \: 5x} \\ [/tex]
[tex] \longmapsto \: \: \sf{24 \: = \: 5x \: - \: x} \\ [/tex]
[tex] \longmapsto \: \: \sf{24 \: = \: 4x} \\ [/tex]
[tex] \longmapsto \: \: \sf{x \: = \: \dfrac{24}{4} } \\ [/tex]
[tex] \longmapsto \: \: \textbf{ \textsf{x \: = \: 6 }} [/tex]
Hence :-
Present Age of Rama = 6 years .[tex] \underline {\rule {180pt} {4pt}} [/tex]
Given :
After 24 years, Rama will be 5 times as old as he is now .⠀
To Find :
Rama's Present Age .⠀
Solution :
Let us assume the present age of Rama as x years .So, 5 times of his age will be 5x years.Now,
⠀
According to the Question :
[tex]{ \longrightarrow {\qquad {\sf 5x = x + 24 }}}[/tex]
⠀
Subracting x from both sides we get :
[tex]{ \longrightarrow {\qquad {\sf 5x - x= x - x+ 24 }}}[/tex]
[tex]{ \longrightarrow {\qquad {\sf 4x= \cancel{x} \: \: \cancel{- x}+ 24 }}}[/tex]
[tex]{ \longrightarrow {\qquad {\sf 4x= 24 }}}[/tex]
⠀
Dividing both sides by 4 we get :
[tex]{ \longrightarrow {\qquad {\sf \dfrac{4x}{4} = \dfrac{24}{4} }}}[/tex]
[tex]{ \longrightarrow {\qquad \pmb {\bf x= 6 }}}[/tex]
⠀
Therefore,
Rama's present age is 6 years.What is the slope of a line that passes through (0, 6) and (9, 6)?
Answer:
slope is 0(this is just the slope)
intercep in y is (0,6)
if you write it in y=mx+b is 6(this is slope intercept)
Which of the following domains provide a real-
value period?
g < 0
g=0
g> 0
g>=0
Answer: g>0
Step-by-step explanation:
edge2022
Find the % of change. Original price: $185 New price: $160
Answer:
-13.51
Step-by-step explanation:
work out the difference (increase) between the two numbers you are comparing. Then: divide the increase by the original number and multiply the answer by 100. % increase = Increase ÷ Original Number × 100.,
so, -13.51