Answer:
Yes
Step-by-step explanation:
Let the numbers be p q r such that p>q>r
So p + q + r = 3q
2q = p+ r
And q< p but q> c,
So by Solving this would give
q= (p+ r)/2
so q is the mean of p & r.
Since the only other number that fits is q,
Then q is the mean of the numbers p,q,r
As so q is also the median of this set
Thus proving that the mean is the same as the median.
PLZ SOMEONE ANSWER I GIVE 5/5 RATING AND WILL NAME BRAINLIEST!!!!!
Answer:
100. 120
101. 28
102. 1
103. 24
Step-by-step explanation:
Number of Permutation (P) can be obtained as follow:
nPr = n! / (n– r)!
Number of Combination (C) can be obtained as follow:
nCr = n! / (n– r)! r!
With the above ideas in mind, let us determine the answers to the questions given above.
100. Evaluation of ₅P₄
nPr = n! / (n– r)!
₅P₄ = 5! /(5 – 4)!
₅P₄ = 5! / 1!
₅P₄ = 5 × 4 × 3 × 2 × 1 / 1
₅P₄ = 120
101. Evaluation of ₈C₂
nCr = n! / (n– r)! r!
₈C₂ = 8! / (8 – 2)!2!
₈C₂ = 8! / 6!2!
₈C₂ = 8 × 7 × 6!/ 6! × 2 × 1
₈C₂ = 8 × 7 / 2 × 1
₈C₂ = 56/2
₈C₂ = 28
102. Evaluation of ₇C₀
nCr = n! / (n– r)! r!
₇C₀ = 7! / (7 – 0)!0!
₇C₀ = 7! / 7!0!
Note: 0! = 1
₇C₀ = 7! / 7!
₇C₀ = 1
103. Evaluation 4!
4! = 4 × 3 × 2 × 1
4! = 24
At 6pm on October 23rd you exchange 100 JPY and receive 12.33 GSD
a state the rate you will take and how much you expect to receive?
Answer:
0.123 GSD are expected to be received by each JPY.
Step-by-step explanation:
The exchange rate is the ratio of GSD per each JPY, that is:
[tex]x = \frac{12.33\,GSD}{100\,JPY}[/tex]
[tex]x = 0.123\,\frac{GSD}{JPY}[/tex]
Which means that 0.123 GSD are expected to be received by each JPY.
if f(x)=4x+12 is graft on a coordinate plane what is the y intercept of the graph
given the area, find the dimension of a rectangle
The length of a rectangle is 12m less than three times its width, its area is 63 square meters.
Answer:
Width W = 7 m
Length L = 9 m
Step-by-step explanation:
Area of a rectangle = L * W
Area = 63 m²
L = 3W - 12
Area = L * W
66 = (3W - 12) * W
63 = 3W² - 12W
3W² - 12W - 63 = 0 ( solve W by using quadratic equation)
-(-12) ± √ -12² - 4 * 3 * (-63)
W = -------------------------------------------
2 * 3
W = 7 ; W = - 3
therefore use W = 7 m
solve for L:
L = 3W - 12
L = 3(7) - 12
L = 9 m
check:
Area = L * W
63 = 9 * 7
63 = 63 ----- OK
Given: AE ≅ CE ; DE ≅ BE Prove: ABCD is a parallelogram. Parallelogram A B C D is shown. Diagonals are drawn from point A to point C and from point D to point B and intersect at point E. Line segments A E and E C are congruent. Line segments D E and E B are congruent. We have that AB || DC. By a similar argument used to prove that △AEB ≅ △CED, we can show that △ ≅ △CEB by. So, ∠CAD ≅ ∠ by CPCTC. Therefore, AD || BC by the converse of the theorem. Since both pair of opposite sides are parallel, quadrilateral ABCD is a parallelogram.
Answer:
1.AED
2.SAS
3.ACB
4.Aternate interior angles
Step-by-step explanation:
Answer:
edg just did it
Step-by-step explanation:
What’s 12k-6z=36? (please explain)
Answer:
k=3 z=-6
Step-by-step explanation:
12k=36
k=36/12
k=3
-6z=36
z=36/-6
z=-6
12(3)-6(-6)=36
help me and ill give you brainliest answer ;))) deal? (/ω＼*)……… (/ω•＼*)
Step-by-step explanation:
....
.........
.
simplify 1/3 - 1/2 + 2/5
Answer:
[tex] \frac{1}{3} - \frac{1}{2} + \frac{2}{5} [/tex]
[tex] = \frac{10 - 15 + 2 \times 6}{30} [/tex]
[tex] = \frac{10 - 15 + 12}{30} [/tex]
[tex] = \frac{ - 5 + 12}{30} [/tex]
[tex] = \frac{7}{30} [/tex]
Answer:
[tex] \frac{1}{3} - \frac{1}{2} + \frac{2}{5} [/tex]
[tex] = \frac{10 - 15 + 2×6}{30} [/tex]
[tex] = \frac{10 - 15 + 12}{30} [/tex]
[tex] \frac{-5 +12}{30} [/tex]
= 7 /30
What is the circumference of a circle with radius pi?
Answer:
2π² or 19.74
Step-by-step explanation:
Circumference of a circle is C = 2πrGiven r = π
Then:
C= 2π*π = 2π²or
≈19.74I'm taking a homeschooling course and my parents put me in a couple grades before my level, so its a little difficult for me sometimes. So if someone could explain this it would be super helpful. ^_^ Select the correct scientific notation form of this numeral using only 2 significant figures. 8,421,032.9266
Answer: 8.4 * 10^6
Step-by-step explanation:
Hope this helps^^
root 3 + root 2 /root 3- root 2 = a+b root 6
Answer:
5 + 2[tex]\sqrt{6}[/tex]
Step-by-step explanation:
Given
[tex]\frac{\sqrt{3}+\sqrt{2} }{\sqrt{3}-\sqrt{2} }[/tex]
Multiply numerator/ denominator by the conjugate of the denominator
The conjugate of [tex]\sqrt{3}[/tex] - [tex]\sqrt{2}[/tex] is [tex]\sqrt{3}[/tex] + [tex]\sqrt{2}[/tex]
= [tex]\frac{(\sqrt{3}+\sqrt{2})(\sqrt{3}+\sqrt{2}) }{(\sqrt{3}-\sqrt{2})(\sqrt{3}+\sqrt{2}) }[/tex] ← expand numerator/ denominator using FOIL
= [tex]\frac{3+\sqrt{6} +\sqrt{6}+2 }{3-2}[/tex]
= [tex]\frac{5+2\sqrt{6} }{1}[/tex]
= 5 + 2[tex]\sqrt{6}[/tex] → with a = 5 and b = 2
What is the sum of all integers x that satisfy 1 < (pi -1 )x < 10?
Answer:
10
Step-by-step explanation:
pi is 3.14...
pi - 1 is 2.14...
question becomes 1<2.14x and 2.14x < 10
1/2.14 < x, 0.46... < x
x < 10/2.14, x < 4.67...
combining
0.46< x < 4.67
x can be 1, 2, 3, 4
Answer:
Step-by-step explanation:
pi - 1 = 3.14 - 1 = 2.14
x has to be an integer, and the result must be greater than 1.
1 works.
1 < 2.14*1 < 10 2.14 is between 1 and 10.
2 works
1 < (2.14)*2 < 10
1 < 4.28 < 10
3 works
1 < 2.14 * 3 < 10
1 < 6.42 < 10
4 might work
1 < 2.14*4 < 10
1 < 8.56 < 10
and it does work.
5 can't work
1 < 5 * 2.14 < 10
1 < 10.7 < 10 is not true.
Answer: 1,2,3,4
Grant is painting a rectangular board that has a width of į foot. He has enough
paint to cover 3 square feet. If he is able to cover the whole board by using all of
his paint, what is the length of the board in feet?
Answer:
how you convert feet to square feet
length X width = square feet
if the board is 3ft long and 1 foot wide
3ft X 1ft = 3square feet
so the length is 3 feet
Answer:
Step-by-step explanation:
the answer is 9
Un grupo de amigos quiere realizar una actividad de recaudación de fondos, para ello han decidido vender pizzas. La primera pizzería vende pizzas de 40 cm de diámetro a S/ 40 y otra vende pizzas de 25 cm de diámetro a S/ 25. ¿Qué pizza será recomendable que los amigos adquieran para lograr mejores ganancias?
Answer:
Los Amigos deberían comprar pizzas vendidas por la primera pizzería que cuestan S / 0.032 por cm² para obtener más ganancias.
Step-by-step explanation:
Los parámetros dados son;
El diámetro de las pizzas vendidas por la primera pizzería = 40 cm
El precio de las pizzas vendidas por la primera pizzería = S / 40
El diámetro de las pizzas vendidas por la segunda pizzería = 25 cm
El precio de las pizzas vendidas por la segunda pizzería = S / 25
El área de las pizzas vendidas por la pizzería = π × D² / 4
El área de las pizzas vendidas por la primera pizzería = π × 40² / 4≈1256.64 cm²
El costo por unidad de superficie de las pizzas vendidas por la primera pizzería = S / 40 / (1256.64 cm²) ≈ S /0.032/cm²
El área de las pizzas vendidas por la segunda pizzería = π × 25² / 4≈490.87 cm²
El costo por unidad de superficie de las pizzas vendidas por la primera pizzería = S / 25 / (490.87 cm²) ≈ S /0.051/cm²
Las pizzas vendidas por la primera pizzería que cuestan S /0.032/cm² s más baratas y producirán mejores ganancias que las pizzas vendidas por la segunda pizzería que cuestan S /0.051/cm²
Por lo tanto, los amigos deben comprar pizzas vendidas por la primera pizzería que cuestan S /0.032 / cm² para obtener más ganancias.
Find the point(s) of intersection for
y = x2 + 3x – 4 and y = 4x + 2
Answer:
(6,26)
Step-by-step explanation:
You will take the points and graph them since these are both positive equations they will go up and to the right.
both intersect at (6,26)
also if you forgot how to graph it, I got you
1. find the rate of change (as I will call it) THIS IS YOUR NUMBER NEXT TO THE X!!! this means that the line will go up 4 and over 1 then your whole number, in this example would be 2 is your y-intersect (the place on the y-axis where the line passes) after that you should be able to draw your lines and find the poi!
Please comment if I got something wrong! I don't want to be giving bad advice
х+у= 9
2x – Зу = 8
someone plz solve
Step-by-step explanation:
x+y=9
x=9-y ----------(i)
Now in second eqn put the value of x
2x -3y=8
2(9-y) - 3y=8
18 - 2y - 3y=8
18-8=5y
10=5y
y=2
Then put the value of y in eqn (i)
x=9-y
x=9-2
x=7
I hope this will be helpful for you.
Answer:
[tex] \huge {\boxed{ \bold{ \boxed{(7 \:, 2)}}}}[/tex]Step-by-step explanation:
Given,
x + y = 9
2x - 3y = 8
Using substitution method:
In this method , a variable is expressed in terms of another variable from one equation and it is substituted in the remaining equation.
[tex] \mathsf{x + y = 9}[/tex]
Move y to right hand side and change it's sign
⇒[tex] \mathsf{x = 9 - y}[/tex]⇔equation ( i )
Now, put the value of X from equation ( i )
⇒[tex] \mathsf{ 2 (9 - y) - 3y = 8}[/tex]
Distribute 2 through the parentheses
⇒[tex] \mathsf{18 - 2y - 3y = 8}[/tex]
Collect like terms
⇒[tex] \mathsf{18 - 5y = 8}[/tex]
Move constant to right hand side and change it's sign
⇒[tex] \mathsf{ - 5y = 8 - 18}[/tex]
Calculate
⇒[tex] \mathsf{ - 5y = - 10}[/tex]
Divide both sides of the equation by -5
⇒[tex] \mathsf{ \frac{ - 5y}{ - 5} = \frac{ - 10}{ - 5} }[/tex]
Calculate
⇒[tex] \mathsf{y = 2}[/tex]
Now, Put the value of y in the equation ( i )
⇒[tex]x = 9 - 2[/tex]
Calculate the difference
⇒[tex] \mathsf{x = 7}[/tex]
Hence, x = 7 and y = 2
The possible solution of the system is the ordered pair ( x , y )
[tex] \mathsf{(x \: , y \: ) = (7 , \: 2)}[/tex]
---------------------------------------------------------
Check if the given ordered pair is the solution of the system of equation
⇒[tex] \mathsf{7 + 2 = 9}[/tex]
⇒[tex] \sf{2 \times 7 - 3 \times 2 = 8}[/tex]
Simplify the equalities
⇒[tex] \sf{9 = 9}[/tex]
⇒[tex] \mathsf{8 = 8}[/tex]
Since all of the equalities are true , the ordered pair is the solution of the system.
[tex] \mathsf{ \underline{ \bold{(x \:, y \: ) = (7 \:, 2)}}}[/tex]
Hope I helped!
Best regards!!
Marcella divided 40.8 gallons of paint amount 8 containers. how much paint is in each container?
Answer:
5.1 gallons
Step-by-step explanation:
Using the information provided, we know that there is of course 40.8 gallons of paint to be divided into 8 containers. This means we must use a division problem to figure out our answer.
We are splitting the 40.8 gallons into the 8 containers so that means our dividend is 40.8 and our divisor is 8. With this information, we can go ahead and put this into an expression of:
40.8/8
If you have a calculator, you can plug that equation in to get 5.1, but if you don't then a bit of easy long division will get you the same answer of 5.1 gallons.
Answer: 51 gallons
Step-by-step explanation:
A park is a rectangle a fence runs along all four sides the area of the park is 5,400 yards squared the length is 1.5 times longer then the width what is the perimeter of the park
Answer:
Perimeter of the park = 300 yards
Step-by-step explanation:
Area of a rectangle= length * width
Area of the rectangular park = 5,400 yards squared
Let
Width= x
Length= 1.5 * x = 1.5 x
Area of a rectangle= length * width
5,400= 1.5x * x
5400= 1.5x^2
x^2= 5400 / 1.5
x^2 = 3600
Take the Square root of both sides
√x^2 = √3600
x=60
Therefore,
Width = x = 60 yards
Length = 1.5x
=1.5(60)
=90 yards
Perimeter of the rectangular park = 2(length + width)
=2(90+60)
=2(150)
= 300 yards
PLEASE HELP The domain is {x∈R| x≠1}, and the range is {y∈R| y≠0}. The domain is all real numbers, and the range is {y∈R| y≠0}. The domain is {y∈R| y≠1}, and the range is {x∈R| x≠0}. The domain is {x∈R| x≠1}, and the range is all real numbers.
Answer:
The domain is x cannot equal 1 and range cannot equal 0. The first option you have is correct
Step-by-step explanation:
please help me on this
Answer:
A: (x-3, y+4)
Step-by-step explanation:
A coordinate plane is basically just a number line with two axes.
If we move a numbet right 3, to return it back we’d need to bring it left 3.
If we move a number down 4, we need to bring it up 4 to bring it back to it’s original position.
So to get it back, we need to add the opposite.
(x + 3), 3’s opposite is -3
(y - 4), -4’s opposite is 4.
Hope this helped!
two APS have the same common difference the first term of one of these is -1 and that of the other is -8. then the difference between their 4th term is
Answer:
The difference between the 4th term of both series is 7
Step-by-step explanation:
The formula for the nth term of an APS is a + (n - 1)×d
The first term of one of the series = -1
The first term of the other of the series = -8
The fourth term of both series is thus;
4th term first series = -1 + (4 - 1)× d = -1 + 3·d
4th term second series = -8 + (4 - 1)× d = -8 + 3·d
The difference between the 4th term of both series = -1 + 3·d - (-8 + 3·d)
-1 + 3·d - (-8 + 3·d) = -1 + 3·d + 8 - 3·d = 8 - 1 = 7
The difference between the 4th term of both series = 7.
What is the value of x?
Answer:
itś between 30 and 45 but my best guest is 30
Step-by-step explanation:
Answer:
55
Step-by-step explanation:
because i said so
In a test (+5) marks are given for every correct answer and (-2) marks are given for every incorrect answer . Roy answered all the questions and scored 30 marks though she got 10 correct? Find the total number of sums .
Answer:
20 questions
Step-by-step explanation:
Given
[tex]Correct \Marks= +5[/tex]
[tex]Incorrect\ Marks= -2[/tex]
[tex]Score\ Obtained = 30[/tex]
[tex]Number\ of\ correct\ answers = 10[/tex]
Required
Number of questions answered
First, we need to get the total correct marks obtained by Roy
This is calculated by multiplying the correct marks by number of correct answers
[tex]Total = +5 * 10[/tex]
[tex]Total = +50\ marks[/tex]
Subtract this from the total scores obtained; This gives the total incorrect answer obtained by Roy
[tex]Incorrect = Scores\ Obtained - Total[/tex]
[tex]Incorrect = 30 - (+50)[/tex]
Open bracket
[tex]Incorrect = 30 - 50[/tex]
[tex]Incorrect = -20[/tex]
Divide this by -2 to get the number of incorrect answers
[tex]Incorrect\ Answers = \frac{-20}{-2}[/tex]
[tex]Incorrect\ Answers = 10[/tex]
Add this to the number of correct answers to give the total number of question answered
[tex]Total = Correct\ Answers + Incorrect\ Answers[/tex]
[tex]Total = 10 + 10[/tex]
[tex]Total = 20[/tex]
Hence, Roy answered a total of 20 questions
5x + 2y + 8 + 7x −6y + 8 simplify
Answer:
12x+16-4y
Step-by-step explanation:
Answer:
lets start with x = 5x+7x=12x
now y = 2y-6y= -4y
now reg numbers = 8+8=16
now add all of them not litteraly add by add as in make them into a expression
so
12x-4y+16
Definitely has 152 dollars in the bank, she withdraws 20, then she deposit 80 writeaddition expression to represent this situation, then find the symbol and explain its meaning
━━━━━━━☆☆━━━━━━━
▹ Answer
152 - 20 + 80
▹ Step-by-Step Explanation
'Withdrawing' means taking out money which would be represented with a minus sign.
'Deposit' means you are adding money which would be represented with a plus sign.
Therefore, the answer is:
152 - 20 + 80
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
What’s 67x59 answer quick please
Answer:
3953
Step-by-step explanation:
67x59 = 3953
*Silly and/or spam answers will not be tolerated*
Evaluate the limit: [tex]\lim_{x \to -6} \frac{\sqrt{10 - x}-4 }{x + 6}[/tex]
Please explain how to rationalize and solve for the limit.
Answer:
-1/8
Step-by-step explanation:
lim x approaches -6 (sqrt( 10-x) -4) / (x+6)
Rationalize
(sqrt( 10-x) -4) (sqrt( 10-x) +4)
------------------- * -------------------
(x+6) (sqrt( 10-x) +4)
We know ( a-b) (a+b) = a^2 -b^2
a= ( sqrt(10-x) b = 4
(10-x) -16
-------------------
(x+6) (sqrt( 10-x) +4)
-6-x
-------------------
(x+6) (sqrt( 10-x) +4)
Factor out -1 from the numerator
-1( x+6)
-------------------
(x+6) (sqrt( 10-x) +4)
Cancel x+6 from the numerator and denominator
-1
-------------------
(sqrt( 10-x) +4)
Now take the limit
lim x approaches -6 -1/ (sqrt( 10-x) +4)
-1/ (sqrt( 10- -6) +4)
-1/ (sqrt(16) +4)
-1 /( 4+4)
-1/8
Answer:
[tex]\displaystyle \lim_{x \to -6}\frac{\sqrt{10-x}-4}{x+6} =-\frac{1}{8}[/tex]
Step-by-step explanation:
We want to evaluate the limit:
[tex]\displaystyle \lim_{x \to -6}\frac{\sqrt{10-x}-4}{x+6} \\[/tex]
When attempting to evaluate a limit, we should always try direct substitution. This yields:
[tex]\displaystyle \begin{aligned} &\Rightarrow \frac{\sqrt{10-(-6)}-4}{(-6)+6} \\ \\ &=\frac{\sqrt{16}-4}{-6+6}\\ \\ &=\frac{4-4}{-6+6}\\ \\ &=\underbrace{\frac{0}{0}}_{\text{Indeterminate}} \end{aligned}[/tex]
Since the result is an indeterminate form, we can try simplifying the limit.
Let's cancel the square root in the numerator. We can use the difference of two squares. Recall that:
[tex](a-b)(a+b)=a^2-b^2[/tex]
The expression in the numerator is:
[tex]\sqrt{10-x}-4[/tex]
Therefore, to cancel it out, we will multiply it by:
[tex]\sqrt{10-x}+4[/tex]
Multiply. This yields:
[tex]=\displaystyle \lim_{x \to -6}\frac{\sqrt{10-x}-4}{x+6}\cdot\frac{\sqrt{10-x}+4}{\sqrt{10-x}+4} \\[/tex]
Simplify:
[tex]\displaystyle \begin{aligned} &= \lim_{x \to -6}\frac{(\sqrt{10-x})^2-(4)^2}{(x+6)(\sqrt{10-x}+4)}\\ \\ &=\lim_{x\to-6}\frac{(10-x)-(16)}{(x+6)(\sqrt{10-x}+4)}\\ \\ &=\lim_{x \to \ -6}\frac{-x-6}{x+6(\sqrt{10-x}+4)}\end{aligned}[/tex]
Factor:
[tex]\displaystyle \lim_{x \to \ -6}\frac{-(x+6)}{(x+6)(\sqrt{10-x}+4)}[/tex]
Cancel:
[tex]\displaystyle \lim_{x \to \ -6}-\frac{1}{\sqrt{10-x}+4}[/tex]
Now, we can attempt direct substitution again. Thus:
[tex]\displaystyle \begin{aligned} &\Rightarrow -\frac{1}{(\sqrt{10-(-6)}+4)}\\ \\ &=-\frac{1}{\sqrt{16+4}}\\ \\ &=-\frac{1}{(4+4)} \\ \\ &=-\frac{1}{8}\end{aligned}[/tex]
Therefore:
[tex]\displaystyle \lim_{x \to -6}\frac{\sqrt{10-x}-4}{x+6} =-\frac{1}{8}[/tex]
√36 + √49
Find the perimeter of the rectangle
Hi
perimeter of rectangle is : 2 length+2 width .
to progress in math, you must practice.
So , I let you do the first one which is the esaiest.
48 ) V147+ V147 + V108+V108 = 2V147 +2V108 = 2 ( V147+V108)
Solve for x.
Enter the solutions from least to greatest.
3x^2 +4= 436
lesser x =
greater x =
Answer:
lesser x = -12
greater x = 12
Step-by-step explanation:
3x^2 +4= 436
3x^2 = 432
x^2 = 144
lesser x = -12
greater x = 12
Let f(x)=2x-6. Solve f^-1(x) when x=2
-5
4
-2
7
Answer:
4.
Step-by-step explanation:
f^-1(x) is the inverse of f(x). That means that f(x) = 2x - 6 becomes...
x = 2y - 6
2y - 6 = x
2y = x + 6
y = 1/2x + 3.
When x = 2...
y = 1/2(2) + 3
= 1 + 3
= 4.
Hope this helps!