Answer:
Step-by-step explanation:
Given equation is,
[tex]\frac{1}{2}(8x-6)=x+9[/tex]
By distribution property,
4x - 3 = x + 9
By subtraction property of Equality,
4x - x - 3 = 9
3x - 3 = 9
By Addition property of equality,
3x = 3 + 9
3x = 12
By division property of equality,
[tex]\frac{3x}{3}=\frac{12}{3}[/tex]
x = 4
The arithmetic mean of three consecutive even integers is 20. Which equation could be used to find the integers? A) x(x + 2)(x + 4) = 20 B) x + 2x + 4x 3 = 20 C) x(x + 2)(x + 4) 3 = 20 D) x + (x + 2) + ( x + 4) ] = 20 E) x + (x + 2) + ( x + 4) 3 = 20
Given:
The arithmetic mean of three consecutive even integers is 20.
To find:
The equation that can be used to find the integers.
Solution:
Let the three consecutive even integers are x, x+2 and x+4.
We know that,
[tex]\tex{Mean}=\dfrac{\text{Sum of observations}}{\text{Number of observations}}[/tex]
The arithmetic mean of three consecutive even integers is:
[tex]\tex{Mean}=\dfrac{x+(x+2)+(x+4)}{3}[/tex]
It is given that, mean = 20. So,
[tex]\dfrac{x+(x+2)+(x+4)}{3}=20[/tex]
Therefore, the correct option is E.
please help please solveit
The ratio of collectible stamps Georgia owns to stamps that Julie owns is 2:1. Julie has 64 stamps. How will the ratio of Georgia’s stamps to Julie’s stamps change if they both sell half of their stamps? Explain.
Answer:
Step-by-step explanation:
As both are selling half of their stamps, the ratio won't change. It will be same:
Reason:
Georgia : Julie = 2 : 1
Let total stamps = x
Part of stamps that Georgia has = 2/3 of x
Part of stamps that Julie has = 1/3 of x
[tex]\frac{1}{3}x=64\\\\x = 64*3\\\\x= 192[/tex]
Total stamps = 192
Stamps with Georgia = 192 - 64 = 128
After selling half of his stamp, Georgia has = 128÷2 = 64
After selling half of her stamp, Julie has = 64 ÷ 2 = 32
Ratio of stamps after selling half of their stamps = 64 : 32
= 2 : 1
The ratio of collectible rocks Juanita owns to rocks that Aisling owns is 3:1. Aisling has 32 rocks. How will the ratio of Juanita’s rocks to Aisling’s rocks change if they both sell one fourth of their rocks? Explain.
Juanita : Aisling = 3 : 1
Let total rocks = x
Part of rocks that Juanita has = 3/4 of x
Part of rocks that Aisling has = 1/4 of x
[tex]\frac{1}{4}x=32\\\\x = 32*4\\\\x= 128[/tex]
Total rocks = 128
Rocks with Juanita = 128 - 32 = 96
After selling one fourth of his rock, Aisling has = 32 ÷ 4 = 8
After selling half of her rock, Juanita has = 96 ÷ 4 = 24
Ratio of rocks after selling one fourth of their rocks =24 : 8
= 3 : 1
1. What is AC?
AC = 6
AC = 24
AC = 8
AC = 16
Answer:
AC = 24
Step-by-step explanation:
If you subtract C - A, you get
16 - (-8) = 16 + 8 = 24
Answer:
AC=24
Step-by-step explanation:
Halp meh pls... Which statement verifies that f(x) and g(x) are inverses of each other?
f(g(x))=x
f(g(x))=x and g(f(x))= -x
f(g(x))=x = 1/f(g(x))
f(g(x))=x and g(f(x))=x
The function pairs are inverses as f(x) = 2x-3 and g(x)=(x+3)/2. The correct answer would be an option (D).
What is an inverse function?The inverse function is defined as a function obtained by reversing the given function. To determine the inverse of a function, all you have to do is switch where x and y are and resolve for y.
As per the options, we have
f(g(x))=x is expressing f is the inverse of g.
f(g(x))=x is expressing f is the inverse of g but g is not the inverse of f, g(f(x))≠x.
f(g(x))= g(f(x)) is expressing the composition of functions f(g(x)) is equal to the composition of functions g(f(x)), but not necessarily inverses. It doesn't define each equal x.
f(g(x))=x and g(f(x)) =x is expressing f is the inverse of g and g is the inverse of f.
Thus, the function pairs are inverses as f(x) = 2x-3 and g(x)=(x+3)/2.
Hence, the correct answer would be an option (D).
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A segment with endpoints (3.7) and (-8.7) is rotated
around the origin. How long will the new segment be?
A-8
B-5.5
C-22
D-11
b
Step-by-step explanation:
Describe a sequence of translations, rotations, and reflections that takes Polygon P to Polygon Q. P
Answer:
train tracks
Step-by-step explanation:
They have simple rotations and movemental frequences
Pls help me ASAP PLS PLS PLS PLS PLS PLS ASAP
Answer:
The domain is the input value of x, which can be any real number.
There is no inequality.
Set notation x | E R. ( all real nUmbers)
Interval. Oration (-infinity, infinity)
Range: set x to 0 and solve:
3(0)^2 + 2 = 2
The lowest value is 2 and goes to infinity.
Inequality is >=
Set notation Y | >= 2
Interval notation : [2, infinity)
End behavior they both go to infinity .
Find three consecutive even integers whose sum is 48
Answer:
14, 16, and 18
Step-by-step explanation:
hope this helps!
WILL MARK BRAINLEST!!
Solve for y put in slope intercept form
(y = mx + b) to find slope
Y + 6 = 1/2 ( x + 20)
Show work please
Use the diagram to find the measures of all the angles, given that m< 1 = 76°
Answer:
m< 3 = 76°, m< 3 = 104°, m< 3 = 76°,
Step-by-step explanation:
360°
m< 1 = m< 3 → 76° (76°*2 = 152°)
360° - 152° = 208°
208°/2 = 104°
m< 2 = m< 4 → 104°
Examine the department names for each hypothetical company, and then select the organizational type from the drop-down menu. If a company has departments such as Video Game Marketing, Movie Marketing, and Toy Marketing, it probably has a organizational structure. If a company has departments such as Sales, Marketing, Operations, and Human Resources, it probably has a organizational structure. If a company has departments such as Northwest, South, and Northeast, it probably has a organizational structure.
Answer: the first one is a matrix. the second one is functional.
Step-by-step explanation:
Answer:
If a company has departments such as Video Game Marketing, Movie Marketing, and Toy Marketing, it probably has a
✔ matrix
organizational structure.
If a company has departments such as Sales, Marketing, Operations, and Human Resources, it probably has a
✔ functional
organizational structure.
If a company has departments such as Northwest, South, and Northeast, it probably has a
✔ divisional
organizational structure.
help me I will give brainiest
Answer:
5) -12 1\2
6) -3
Answer:
2(10x+6)2+24x+60
20x+12=62+24x
20x-24x=62-12
-4=50
[tex]x = - \frac{25}{2} [/tex]
can yall help me with these 4
If a teacher distributes papers to each person in a class, please explain what they are doing
Pls I need this 35 point question
write 7 2/6 as a fraction greater than 1
nice and ez question right?
Find the slope of the line
(1,-5),(-4,0)
Answer:
-1
Step-by-step explanation:
slope = ΔY / ΔX = 5/(-5)=-1
783 times 42 fvvvvvdskjgfgehjck random letters needs to be 20 long
Answer:
cv 454546
Step-by-step explanation:
ZCCVZv dD
help me please '
Solve for x and y
Answer: what is X and y?
Step-by-step explanation:
i will literally pay you pls help me :(
The answer is 35
Since they are supplementary they both equal 180 degrees.
(3x+10)+(2x-5)=180
Add them up
5x-5=180
Subtract 5 from both sides
5x=180-5
5x=175
Divide 5 from both sides
x=35.
will you guys help me with anything i need?
(don't listen about the subject for now i just need to know)
Answer:
Ummm yeah , i'm literally a nice person and a good listener .
Step-by-step explanation:
Can i pls have brainly ? <3
Answer:
yes
Step-by-step explanation:
hjoyybhfddsjjsjajajdhvdbenwkwq
If a system of linear equations has one solution, what does this mean about two lines?
Select all that apply.
a. Intersecting lines
b. No solution
c. One solution
d. Infinitely Many Solutions
e. (x,y)
A parabola has a vertex of (-2,1) and passes through the point (0,-7). What is the value of amplitude
Answer:
The value of the amplitude is -2
Step-by-step explanation:
The given parameters are;
The vertex of the parabola = (-2, 1)
The point through which the parabola passes = (0, -7)
The equation of the parabola can be expressed as follows;
y - y₀ = a·(x - x₀)²
Where;
y₀ = The y-coordinate of the vertex = 1
x₀ = The x-coordinate of the vertex = -2
Therefore, we substitute the known values of the coordinates of a point the parabola to get;
-7 - 1 = a·(0 - (-2))²
-8 = 4·a
a = -8/4 = -2
The value of the amplitude a = -2.
half of a number is subtracted from 19, the result is 13 what is the number
Answer:
12
Step-by-step explanation:
12 / 2 = 6
19 - 6 = 13
Answer:
12
Step-by-step explanation:
19-13 is 6
Half of 12 is 6
Distribute -2x(-1+3x) whoever answers my questions first gets Brainliest.
Answer: 2x-6x^2
-2x*-1 = 2x
-2x*3x=-6x^2
−6x2+2x
Step-by-step explanation:
(−2x)(−1+3x)
=(−2x)(−1+3x)
=(−2x)(−1)+(−2x)(3x)
=2x−6x2
=−6x2+2x
Can someone please answer this question. Identify the vocabulary word that matches the picture.
I need help! PLEASE HELP!!
Answer:
Step-by-step explanation:
P = pizza slices
S= soda drinks
98 = 23*P + 31*S
A shopekeeper sells one machine for 990 rupees at profit 10% and another machine for 1960 rupees at loss of 2% what is his gain or loss percentage
SP of a machine = Rs. 990
Profit% = 10 %
SP of other machine = Rs. 1960
loss% = 2 %
Find:his gain or loss percentage
Solution:We know that,
CP * (100 + profit%)/100 = SP
So,
First machine :
CP * (100 + 10)/100 = 990
⟹ CP = 990 * 100/110
⟹ CP = Rs. 900
Second machine :
We know that,
CP * (100 - loss%)/100 = SP
⟹ CP * (100 - 2)/100 = 1960
⟹ CP = 1960 * 100/98
⟹ CP = Rs. 2000
Now,
We have to find the total loss or profit percentage.
Total SP = 990 + 1960 = Rs. 2950 Total CP = 900 + 2000 = Rs. 2900.We observe that,
SP > CP.
so, a gain is occured.
gain % = gain/CP * 100
gain = SP - CP
So,
gain% = (2950 - 2900)/2900 * 100
⟹ gain% = 50/29
⟹ gain% = 1.72 %
∴ A gain of 1.72% is occured in the whole transaction.
I hope it will help you.
Regards.
Answer:
HELLO SISO❤
IT'S ME YIREN
Step-by-step explanation:
→ CP of machine = (SP * 100) / (100 + Profit%) = (990 * 100) / (100 + 10) = (990 * 100) / 110 = Rs. 900 . Case 2) :- shopkeeper sells another machine for Rs. 1960 at a loss of 2%
PLEASE HELP!!!! Carlos begins his workout by stretching. Then he spends an equal amount of time on each workout machine. The equation y = 8x + 10 represents the total time, in minutes, of Carlos' workout if he uses x workout machines.Explain what the slope and y-intercept of the equation represent in this situation.
A. Carlos spends 8 minutes stretching And 10 minutes on each workout machine
B. Carlos Spend 10 minutes stretching and eight minutes on each workout machine
C. Carlos Uses eight workout machines for 10 minutes each
D. Carlos spends 10 minutes on one machine and 8 minutes on another
Answer:
b
Step-by-step explanation:
because X= the amount of time hes on each machine. so 8 times x
Answer: B
Step-by-step explanation:A P E X
A young equestrian loved to ride her horse all day long, dreaming of the day she would ride in the Kentucky Derby. One day in early April, she left home at 10:00 am and rode her stallion at a nice, steady 10 miles per hour away from her house. At noon a call came in from the Derby saying she was in! Her father immediately jumped on his scooter and rides at a breezy 15 miles per hour to try and track her down and tell her the good news. On what scale would you measure the number of minutes the father must ride his scooter before catching up to his daughter? A. Hundreds B. Thousands C. Ten thousands D. Tens
The answer fam is............ A. Hundreds
The hundreds are the scale you would measure the number of minutes the father must ride his scooter before catching up to his daughter option (A) is correct.
What is the rate?It is defined as the change in values of a dependent variable with respect to the independent variables.
We have:
A young equestrian loved to ride her horse all day long, dreaming of the day she would ride in the Kentucky Derby.
She left home at 10:00 am and rode her stallion at a nice, steady 10 miles per hour away from her house
The rate = 10 miles/hour
Father's scooter rate = 15 miles/hour
Based on the data given the number of minutes the father must ride his scooter before catching up to his daughter should measure on a scale of hundreds.
Thus, the hundreds are the scale you would measure the number of minutes the father must ride his scooter before catching up to his daughter option (A) is correct.
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