Answer:
50 liters of the 10% solution should be added
Step-by-step explanation:
Here, we want to calculate the number of liters of the 10% solution that should be added
Let the number of 10% solution to be added be x liters
So total liters is now x + 50
Thus;
50 liters of 12% + x liters of 10% = (x + 50) liters of 11 %
Hence
12/100 * 50 + 10/100 * x = 11/100 * (x + 50)
0.12(50) + 0.1(x) = 0.11(x + 50)
6 + 0.1x = 0.11x + 5.5
6 - 5.5 = 0.11x - 0.1x
0.5 = 0.01x
x = 0.5/0.01
x = 50
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!!!! 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
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
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:
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).
Learn more about inverse functions here:
brainly.com/question/2541698
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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 .
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.
Learn more about the rate here:
brainly.com/question/12786410
#SPJ2
I need help! PLEASE HELP!!
Answer:
Step-by-step explanation:
P = pizza slices
S= soda drinks
98 = 23*P + 31*S
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.
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
which the best estimate of 22 x 97 by using roundings on compatibile numbers? F. 1,800 G. 2.000 H. 2.300 I. 2.100
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.
Find the slope of the line
(1,-5),(-4,0)
Answer:
-1
Step-by-step explanation:
slope = ΔY / ΔX = 5/(-5)=-1
Find three consecutive even integers whose sum is 48
Answer:
14, 16, and 18
Step-by-step explanation:
hope this helps!
can yall help me with these 4
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
Can someone please answer this question. Identify the vocabulary word that matches the picture.
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.
please help please solveit
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)
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
write 7 2/6 as a fraction greater than 1
nice and ez question right?
If a teacher distributes papers to each person in a class, please explain what they are doing
Pls I need this 35 point question
Lin and Elena have discovered they have so much in common. 1. They each walk 500 units to school. Who walks 500 feet, and who walks 500 yards? A grid of three buildings labeled "School", "Lin's house", and "Elena's house". Select the correct choice. A Lin walks 500 feet and Elena walks 500 yards.Lin walks 500 feet and Elena walks 500 yards. B Lin walks 500 yards and Elena walks 500 feet.Lin walks 500 yards and Elena walks 500 feet.
Answer:
Lin walks 500 feet and Elena walks 500 yards
Step-by-step explanation:
First of all, 1 yard is greater than 1 feet, there relation is given by:
1 yard = 1 feet
From the image attached, we can see that Lin's house is closer to the school than Elena house, therefore we can come to the conclusion that Lin walks 500 feet and Elena walks 500 yards because Elena house is farther away from the school. The distance from Elena house to the school is about 3 times the distance from Lin house to the school.
Answer: lin walks 500 feet and elena walks 500 yards
Step-by-step explanation:
1 foot is smaller then one yard
Write an equation for each problem. Then solve. Round to the nearest tenth if necessary.
55 is what percent of 100?
Answer:
55%
Step-by-step explanation:
100 is a whole number. Half of 100 is 50 meaning that you have divided 100 by 1/2 or 50%.
55/100 = 55%
Answer: 55%
Step-by-step explanation:
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:
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°
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]
Please help! I have about a hour!