The amount of water after x minutes is equal in both pools.
What is a Linear equation in one variable?
A univariate linear equation is an equation of the form ax + b = 0, where a and b are two integers, x is a variable, and there is only one solution.
For example, 2x+3=8 is a linear equation in one variable.
The given equation is 5000 - 50x = 4800 - 30x.
solving for 'x',
5000 - 50x = 4800 - 30x
5000 - 4800 = 50x - 30x
200 = 20x
x = 200/20
x = 10
The amount of water after 10 minutes in Pool A will be = 5000 - 50(10)
= 5000 - 500
= 450 liters
The amount of water after 10 minutes in Pool B will be = 4800 - 30(10)
= 4800 - 300
= 450 liters.
Hence, the amount of water will be the same in both pools.
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PC=3x+7, can you find PC?
The value of PC is 40 when C is the circumcenter of triangle PQR.
Given that,
Consider the complete question is
C is the circumcenter of triangle PQR.
PC=3x-7
RC=5x-15 &
QC= 51-x
We have find the side PC.
A triangle's vertices are equidistance spaced from its circumcenter.
PC=RC=QC
RC=QC
5x-15= 51-x
5x+x= 51+15
6x=66
x=11
The value of x is 11.
We must determine PC's worth.
Substitute x=11 in the above equation.
PC= 3x+7
PC= 3(11)+7
PC=33+7
PC= 40
Therefore, The value of PC is 40 when C is the circumcenter of triangle PQR.
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a game is played with tokens according to the following rule. in each round, the player with the most tokens gives one token to each of the other players and also places one token in the discard pile. the game ends when some player runs out of tokens. players aa, bb, and cc start with 15, 14, and 13 tokens, respectively. how many rounds will there be in the game?
As there are three players, the game will be played in cycles of 3 rounds. After each cycle is completed, the round after will be the round where every single player has 1 token less than they did at the beginning of the previous cycle.
After the first round of the game, player one will have 12 tokens, player two will have 15 and player three will have 14 left. Looking at this sequence, it is evident that player one will finish first.
Go a few rounds to establish the pattern:
Beginning chips: A B C
15 14 13
1st round:
12 15 14
2nd round: 13 12 15
3rd round: 14 13 12
So after 3 rounds and successive 3 rounds each player has one less than he started with at the beginning of the 3 round series.
So after 36 rounds each will be down 12 from the beginning:
A B C
3 2 1
On the 37 round A will give up his 3 to end at 0
37
For more clear understanding:
As player has one token less at the beginning of a new cycle than he/she had at the beginning of the previous cycle we go (12∗3)+1=37(12∗3)+1=37 to see how many turns it will take them to reach zero.
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Could someone help me out, please?
Answer:
For x = -2, y would equal -3.
For x = -1, y would equal -2.
For x = 0, y would equal -1.
For x = 1, y would equal 0.
For x = 2, y would equal 1.
Step-by-step explanation:
So what we have to do is plug in the x-values from the table into the equation.
1) y = -2 -1 => y = -3
2) y = -1 - 1 => y = -2
3) y = 0 - 1 => y = -1
4) y = 1 - 1 => y = 0
5) y = 2 - 1 => y = 1
Help me with these questions (all of them 1 to 19 )
Answer:
answer for 17 is 5+5+8which is 200 cm
Answer:
1 - 9p
2 - 4y
Step-by-step explanation:
1: 3p+2p+4p Since there all common terms you can just add them together! So it would be 9p!
2: 3y + (-y) + 2y
Lets make this easier to understand.
3y -1y + 2y (I added the one because the y technically is a 1.)
Since they are all like terms because they all have y it is pretty easy to solve now! So it would be 4y!
(WILL DO MORE LATER)
what is 10x - 5 = 105
Answer:
x =11
Step-by-step explanation:
report this so that girl in the comments can give you an answer
Answer: -50
Step-by-step explanation:
Which term is a constant numerical value? I need so much help
There is a line that includes the point (-1, 1) and has a slope of 9. What is its equation in slope-intercept form?
Answer: would be y=9x+10
Step-by-step explanation: Use the point slope form
Can you help me with this please. It was question on my test but it didn't make any sense since i got a repeating decimal.
3.5g-2.7g=-6
The solution of the linear equation 3.5g - 2.7g = -6 will be negative 7.5.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
If the maximum power of the equation is one. Then the equation will be a linear equation.
The linear equation is given below.
3.5g - 2.7g = -6
Simplify the equation, then we have
3.5g - 2.7g = -6
0.8g = -6
g = - 6 / 0.8
g = - 7.5
The solution of the linear equation 3.5g - 2.7g = -6 will be negative 7.5.
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4u+8v=-3u+2v
pleaseeee
Answer:
solve for u= 6v/7
solve for v= 7u/6
Step-by-step explanation:
The toy store created a display of s shelves of remote control cars. Each shelf contains 16 cars. Write an expression that shows how many cars are on the display.
The expression that shows number of remote control cars on the display self is 16s.
Mathematical expressions are formed using at least two numbers, variables, and there must be one arithmetic operation, and a statement. If there are x items are given in one self and there are n number of self and we have to find total number of items in all self, then we have to multiply x by n.
Here, there are 16 remote control cars on a display self. The number of display shelves is s.
So, the total number of cars will be 16 times of s.
Number of cars on display = 16s
Therefore, the expression that shows the number of cars on display is 16s.
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Answer:
It is 16s
Step-by-step explanation:
Patel is solving 8x2 + 16x + 3 = 0. Which steps could he use to solve the quadratic equation? Select three options. 8(x2 + 2x + 1) = –3 + 8 x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot x = –1 Plus or minus StartRoot StartFraction 4 Over 8 EndFraction EndRoot 8(x2 + 2x + 1) = 3 + 1 8(x2 + 2x) = –3
The solution of the quadratic equation will be;
⇒ x = - 1 ± √5 / 8
⇒ x = –1 Plus or minus Start Root Start Fraction 5 Over 8 End Fraction End Root.
What is Quadratic equation?An algebraic equation with the second degree of the variable is called an Quadratic equation.
Given that;
The quadratic equation is,
⇒ 8x² + 16x + 3 = 0
Now,
Solve the equation as;
⇒ 8x² + 16x + 3 = 0
⇒ 8x² + 16x = - 3
⇒ 8 (x² + 2x) = - 3
Now, Using completing the square as;
⇒ 8 (x² + 2x + 1) = - 3 + 8
⇒ 8 (x + 1)² = 5
⇒ (x + 1)² = 5 / 8
⇒ (x + 1) = ±√5 / 8
⇒ x = ±√5/8 - 1
⇒ x = - 1 ± √5/8
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On September 16th you bought 2,500 shares of the stock you have chosen to follow this year,
along with 1,100 shares of Home Depot, 3,500 shares of Ford, and 900 shares of JetBlue.
Create a stock ticker to represent these trades.
The stock markets utilize "Ticker Symbols," which are distinctive one- to five-letter codes, to uniquely identify companies.Because stock quotes used to be printed on a ticker tape machine that resembled the images below, it is known as a ticker symbol.
Create a stock ticker to represent these trades ?A tracking stock is unique equity offered and issued by a parent company that tracts the financial performance of a segment of the division.Tracking stocks usually trade in open markets separate from the parent company's stock.An example of tracking stock is:Walt Disney Company's subsidiary which it owns fully named: go.com. The company is also known as The Go Network. The stock symbol is GOT.Its P/E Ratio is 11.38XI chose this stock because its parent company has a very strong brand and great leadership.Price/Earnings Ratio is used for establishing the value of a company. It measures the current share price against it's earnings per share (EPS).To learn more about stock ticker refer
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I’ll brainlist if y’all answer these…
A rectangle has an area of 405 cm square and width of 15 cm. The length of the rectangle is:
A) 27 cm
B) 20 cm
C) 390 cm
D) 6075 cm
The x- and y- intercepts of the graph of the line 5x - 3y - 15 = 0 are, respectively
A) 3 and -5
B) -3 and 5
C) 5 and -3
D) -5 and 3
The expression that simplifies to 11x + 2y is:
A) 4x + 3y + 7x - y
B) 13xy- 2y+ 2 + y
C) 9 x square + y + y + 2x
D) 5 + 6x + 2y
Answers: A, A, A
1)A rectangle has an area of 405 cm square and width of 15 cm. The length of the rectangle is: 27 cm
15cmx 27cm= 405 cm
2)The x- and y- intercepts of the graph of the line 5x - 3y - 15 = 0 are, respectively: 3 and 5
(I don't really know how to explain this.......)
3)The expression that simplifies to 11x + 2y is: 4x+3y+7x-y
4x+7x=11x
3y-y = 2y
Therefore, it will equal to 11x+2y.
I really hope this helps!
Please Mark Me Brainliest!!!
(I'm in 5th Grade Honors but I learn MS)
Answer:
All the answer are A
Step-by-step explanation:
Area = length times width
405 = x15 Divide both sides by 15
27 = x
For the x intercept Let y = o and solve for x
5x - 3y -15 = 0
5x - 3(0) -15 = 0
5x -15 = 0 Add 15 to both sides of the equation
5x = 15 Divide both sides by 5
x = 3
The x intercept is (3,0)
For the y intercept Let x = 0 and sole for y
5x -3y -15 = 0
-3y -15 = 0 Add 15 to both sides of the equation
-3y = 15 Divide both sides by -3
y = -5
The y intercept is (0,-5)
4x + 3y + 7x - y Combine the like terms
(4x + 7x) = (3y -y)
11x + 2y
In one book, there are 15 lines per page. In another book, there are 90 lines in every 6 pages. Determine whether the ratios of lines to pages are proportional in both books.
The ratios of lines to pages are proportional in both books.
How to calculate the value?From the information, in In one book, there are 15 lines per page.
In another book, there are 90 lines in every 6 pages. Therefore, the number of lines per page will be:
= Number of line / Number of page
= 90 / 6
= 15 lines per page
Therefore since they're the same for both books as we got 15 lines, they're proportional.
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The quotient of x and 2 is less than or equal to 5.
\Step-by-step explanation:
convert to math form:
[tex]\frac{x}{2} \le5[/tex]
simplify:
[tex]x \le 10[/tex]
convert to word form(optional):
x is less than or equal to 5.
A dolphin was swimming at 20 feet below sea level. Then it dove to 45 feet below its original position. Write an expression that represents the change in depth of the dolphin's dive.
The expression that represents the change in depth is |-45 + 20|
How to determine the change in depth expression?From the question, the endpoints are given as
Initial point = 20 feet below the sea level
Final point = 45 feet below the sea level
Rewrite the endpoints properly
This is done as follows
Initial point = -20
Final point = -45
The distance expression between the endpoints is then calculated as
Distance = |Final point - Initial point|
Substitute the known values in the above equation
So, we have the following equation
Distance = |-45 + 20|
Hence, the distance expression is |-45 + 20|
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- Lyra was trying to determine the slope ratio for the triangle at right, and she
says the answer is 2.675. Isiah claims that cannot be correct. Who is
right? How do you know?
Answer:
Isiah is correct. The slope is about 0.344.
Step-by-step explanation:
Lyra and Isiah want the slope of the hypotenuse in a triangle with an angle of elevation of 19°.
SlopeThe slope is the ratio of "rise" to "run". In a right triangle, that is the ratio "opposite"/"adjacent". This ratio is the tangent of the angle of elevation.
tan(19°) ≈ 0.344
The slope is about 0.344. Isiah is correct.
Isiah knows Lyra is not correct because the slope in a triangle with a 45° angle is 1. Lyra' value of 2.675 is about right for an angle of 69.5°, much greater than either 45° or the given angle of 19°.
__
Additional comment
Unfortunately, the diagram is not drawn to scale. This is often the case with diagrams in geometry problems. The diagram here is misleading in that it seems to show a slope greater than 1 for a 19° angle.
A swimming pool shaped like a rectangular prism measures 12 feet deep, 26 feet long, and 14 feet wide. determine the volume, v = lwh, of the pool in cubic meters. round the answer to the nearest cubic meter. (1 foot = 0.305 meter) 4,368 cubic meters 1,332 cubic meters 406 cubic meters 124 cubic meters
A swimming pool shaped like a rectangular prism has a volume of 124 cubic meters.
Rectangular prism is a three-dimensional shape that has 6 rectangle faces, 12 edges and 8 vertices.
Volume is defined as the amount of space that a three-dimensional shape occupies.
The volume of a rectangular prism can be calculated using the formula below.
V = l x w x h
where V = volume
l = length
w = width
h = height or depth
Plug in the values to the formula, multiply by the conversion factor, and solve for the volume.
V = l x w x h
V = (26 feet)(14 feet)(12 feet)(0.305 meter/foot)³
V = 124 cubic meters
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1. (2ab^5)^4/ab^3
2. (x^3y^5/ab^7)^2
3. 5mn^7-1
ANSWER :
[tex] \rm{1.)16a {}^{3}b {}^{17} }[/tex]
= (2ab^5)^4
= 2ab^5×2ab^5×2ab^5×2ab^5
= 16a^4b^9
= 16a^4b^9/ab^3
= 16a^3b^17
[tex] \rm2.) \frac{x {}^{6} y {}^{10} }{a {}^{2}b {}^{14} } [/tex]
= (x^3y^5)^2
= (x^6y^10)
= (ab^7)^2
= (ab^14)
= (x^6y^10)/ab^14
[tex] \rm3.)4mn {}^{7} [/tex]
= 5mn^7 - 1
= 4mn^7
Please help me!!! I’m really trying…
PAGE 6
7. Maymont Middle School is selling tickets for the winter musical. Adult tickets cost $5 each and child
tickets cost $3 each.
a. Write a mathematical equation that represents the total cost, t, for a adult tickets and c child tickets.
b. Ciera has $28. Could she buy 2 adult tickets and 7 child tickets? Use your equation from part a. to show
your work.
c. Jaylen has $22. If he buys 2 adult tickets, how many child tickets can he buy? Show your work.
C2022 Iluminate Education, Inc.
Question
Edit ->
Edit ->
Ĉ
Question 7b
Ĉ
Fo
Form
a) A mathematical equation that represents the total cost, t, for a adult tickets and c child tickets is t = $5a + $3c.
b)No, she cannot buy 2 adult tickets and 7 child tickets.
Define equation.Mathematical equations are relationships between two expressions that are equal on both sides of the equal to sign. An equation is, for instance, 3y = 16.
Given,
Maymont Middle School is selling tickets for the winter musical. Adult tickets cost $5 each and child tickets cost $3 each.
a) Mathematical equation:
represents the total cost, t, for a adult tickets and c child tickets
t = $5a + $3c
A mathematical equation that represents the total cost, t, for a adult tickets and c child tickets is t = $5a + $3c.
b) Ciera has $28.
a = 2 c = 7
Equating values in equation,
= $5(2) + $3(7)
= $10 + $27
= $37
No, she cannot buy 2 adult tickets and 7 child tickets.
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Refer to the figure below. M
The measure of the angle ∠C is 17°.
The angle having a measure equal to 32° and the angle ∠B form a linear pair. They are supplementary angles. When two lines cross, they generate a pair of neighbouring angles called a linear pair. A linear pair's two angles are always supplementary, which means their measurements add up to 180 degrees. The sum must be equal to 180°.
32° + ∠B = 180°
∠B = 180° - 32° = 148°
Now, we will use the angle sum property of a triangle. The sum of all the angles in a triangle is equal to 180°.
∠B + ∠C + 15° = 180°
148° + ∠C + 15° = 180°
∠C + 163° = 180°
∠C = 180° - 163° = 17°
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Which one of the following is NOT equivalent to 3/4? 16/24 15/20 6/8 24/32 PWEASE HURRY THESE ARE ALL MY POINTS
Which one of the following is NOT equivalent to 3/4?
16/24 = 2/3
15/20 = 3/4
6/8 = 2/3
24/32 = 3/4
Answer: 16/24 and 24/32 are not equivalent to 3/4
Step-by-step explanation:
Equivalent fractions represent the same value, even though they look different.
Here, when we convert every fraction to its simplest form, we can verify if they are equal.
(16/24) ÷ (8/8) = 2/3
(15/20) ÷ (5/5) = 3/4
(6/8) ÷ (2/2) = 3/4
(24/32) ÷ (4/4) = 6/7
As the simplest forms of 16/24 and 24/32 are not 3/4, they are not equivalent fractions of 3/4.
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write ax +by =c in terms of a? solve for a
Answer:
a = (c - by) / x
Step-by-step explanation:
ax + by = c
ax = c - by
a = (c - by) / x
write down the ratio 240kg:6kg give your answer in its lowest form
Answer:
40kg:1kg
Step-by-step explanation:
240kg:6kg
Both sides can be divided by 6 so we that to simplify
40kg:1kg
Hopes this helps please mark brainliest
240 : 6
answer = 1 : 4 the simplest form of 240 : 6
please help me out. it’s more as well but here
Answer:
[tex]\sf \dfrac{-1}{2}[/tex]
Step-by-step explanation:
Find the slope:
(-9 , -5) ⇒ x₁ = -9 ; y₁ = -5
(-1 , -9) ⇒ x₂ = -1 ; y₂ = -9
[tex]\sf \boxed{Slope = \dfrac{y_2-y_1}{x_2-x_1}}[/tex]
[tex]\sf = \dfrac{-9-[-5]}{-1-[-9]}\\\\\\=\dfrac{-9+5}{-1+9}\\\\\\=\dfrac{-4}{8}\\\\\\=\dfrac{-1}{2}[/tex]
Answer:
Slope = -1/2
Step-by-step explanation:
Formula we use,
→ (y2 - y1)/(x2 - x1)
Now the value of slope is,
→ (-9 -(-5))/(-1 -(-9))
→ (-9 + 5)/(-1 + 9)
→ -4/8 = -1/2
Hence, the slope is -1/2.
Determine the total number of roots of each polynomial function. f (x) = 3x6 2x5 x4 - 2x3 6 g(x) = 5x - 12x2 3
The total number of roots for the given polynomial is for f(x)= 3x^6+2x^5+x^4-2x^3+6 is 6 and for g(x) = 5x-12x^2+3 is 2
Since for finding the number of roots, we just need to see what is the degree fro the given polynomial, where the degree of the polynomial is nothing but the highest exponent.For the function f (x) = 3x6 2x5 x4 - 2x3, here the degree is 6, and the respective function is having 6 numbers of roots, which be real roots and complex roots too.For the function g(x) = 5x-12x^2+3, here the degree is 2, so the respective function has 2 roots.
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Answer:
f (x) = 3x6 + 2x5 + x4 - 2x3 = 6 roots g(x) = 5x - 12x2 + 3 = 2 roots f (x) = (3x4 + 1)2 = 8 roots g(x) = (x - 5)2 + 2x3 = 3 roots
algebra 2 please help!!
Answer:
A
Step-by-step explanation:
Translation of 3 units is a plus 3 away from the x
help meeeeeeeeeeeeeeeeee please
Answer:
x + x + 2 = x + 3
2x + 2 = x + 3
x = 1
x + 2 = 3
x + 3 = 4
1: A is directly proportional to B.
When A = 12, B = 3
Direc
(a) Find a formula for A in terms of B.
(b) Find the value of A when B = 5
(c) Find the value of B when A= 36
Answer:
a)A=4B
b)A=20
c)B=9
If it is directly proportional it means that A=kB.
you can substitute the numbers to find k.
12=k3
k=4
so the formula is A=kB.
For part b and c it is just substitution