Answer:
The volume of water in the pool over time from when the hose is placed in the pool until the pool is full is defined by the equation and its graph is given below.
Explanation:
The total capacity of the pool is 20,000 gallon.
It is given that the pool contains 5000 gallons of water when a hose is placed in the pool and begins adding water at a rate of 1250 gallons per hour. So the initial volume of water is 5000.
Let the time is defined by t. So, the volume of water in the pool after time t is defined as,
The capacity of the pool is 20,000 gallon, therefore the maximum value of V(t) is 20,000.
The maximum value of t is 12, since the time is always positive, therefore we can say that,
The below graph representing the volume of water in the pool over time from when the hose is placed in the pool until the pool is full. The initial point is (0,5000) and the other point is (12,20000).
Answer:
the two points will be (0,5000) and (12,20000
Step-by-step explanation:
Points (−6, 3) and (−6, −3) on the coordinate grid below show the positions of two dogs at a park:
Which statement best describes the relationship between the positions of the two players?
Dog 1's position is Dog 2's position reflected across the y-axis; only the signs of the y-coordinates of Dog 1 and Dog 2 are different.
Dog 1's position is Dog 2's position reflected across the x-axis; only the signs of the y-coordinates of Dog 1 and Dog 2 are different.
Dog 1's position is Dog 2's position reflected across the x-axis; only the signs of the x-coordinates of Dog 1 and Dog 2 are different.
Dog 1's position is Dog 2's position reflected across the y-axis; only the signs of the x-coordinates of Dog 1 and Dog 2 are different.
Answer:
The answer is B.
Step-by-step explanation:
Points (−6, 3) and (−6, −3) on the coordinate grid below show the positions of two dogs at a park:
A coordinate plane is shown. There is a point at negative 6, 3 labeled Dog 1. There is a point at negative 6, negative 3 labeled Dog 2.
A price is decreased by 5% and is now £779.
Work out the original price.
Answer:
820
Step-by-step explanation:
779/x = 95/100
779×100
77,900 ÷ 95
820
Use intercepts to graph the line described by the equation 2x − 2y = 8.
Answer:
y = x + 4
Step-by-step explanation:
Slope intercept : 2x - 2y = 8 = 2x 2x = 8 + 2y = 2x = 8 +2y = 2x-8 =2y is the sae as 2y = 2x -8 divide everything by 2 = 2x / 2 - 8/2 = 2y/2 = y = x-4
Help me ASAP Please!!!!
that's a lot of damage
A count went from 605 to 203. What was the approximate percent decrease? Round the numbers to find an estimate of the percent decrease.
Answer:
66 %
Step-by-step explanation:
it is 66% because 203 is less than half of 605 .So, you would add together .
203+203=406 Thats not even close to 605 so now you add almost half so that would be about 66%
IT'S D
HOPE THIS HELPED MARK ME BRAINLIST PLS
How many solutions does the equation −4y + 4y + 2 = 2 have?
a. Two
b. None
c. One
d. Infinitely many
Answer:
D
Step-by-step explanation:
Let's solve your equation step-by-step.
−4y+4y+2=2
Step 1: Simplify both sides of the equation.
−4y+4y+2=2
(−4y+4y)+(2)=2(Combine Like Terms)
2=2
2=2
Step 2: Subtract 2 from both sides.
2−2=2−2
0=0
Answer:
All real numbers are solutions.
Jenny is piloting an airplane at point A sees others at b and c. For the pilot of airplane b, calculate the angle between the lines of sight to the airplane at c and Jenny's airplane to the nearest tenth of a degree
Answer:
Step-by-step explanation: 5
The angle between the lines of sight to the airplane at c and Jenny's airplane to the nearest tenth of a degree is 25.1°.
What are trigonometric identities?There are three commonly used trigonometric identities.
Sin x = 1/ cosec x
Cos x = 1/ sec x
Tan x = 1/ cot x or sin x / cos x
Cot x = cos x / sin x
We have,
From the figure,
Cosine theorem:
Cos 120° = (4.2² + 5.7² - BC²) / (2 x 4.2 x 5.7)
-0.5 = (17.64 + 32.49 - BC²) / 47.88
-23.94 = 50.13 - BC²
BC² = 50.13 + 23.94
BC = √(74.07)
BC = 8.6
Sine theorem:
BC / Sin ∠A = AC / Sin ∠B
8.6 / Sin ∠A = 4.2 / Sin ∠B
8.6 / 120 = 4.2 / Sin ∠B
Sin ∠B = (4.2 x 120) / 8.6
Sin ∠B = 58.60
∠B = 25.1°
Thus,
The angle is 25.1°.
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Jasmine gets paid to do chores around her house. She earns $3.00 every 20 minutes that she cleans the gutters. She earns $3.60 every 20 minutes that she mows the lawn. It took her 40 minutes to clean the gutters and 2 hours to mow the lawn. How much money did Jasmine earn?
Answer:
$24Step-by-step explanation:
Step one:
given data
we are told that she earned $3 every 20minute for gutter cleanup
and for mow, she earns $3.6 every 20 minutes.
Step two;
1. For a 40 minutes gutter cleanup she will make
=3*40/20
=3*2
=$6
1. For a 2 hours mow she will make
2 hours is 120 minutes
=3.6*120/20
=3*6
=$18
So in total she earned 6+18= $24
what is 15/8 simplyfied ?
Answer:
mixed number 1 7/8 or decimal form 1.875
Answer:
it cant be simplified but it can be converted into a mixed number. which is
1 7/8. hope this helps <3
Step-by-step explanation:
Charlotte is working two summer jobs, making $21 per hour tutoring and $14 per hour clearing tables. Last week Charlotte worked twice as many hours tutoring as she worked hours clearing tables hours and earned a total of $168. Graphically solve a system of equations in order to determine the number of hours Charlotte worked tutoring last week, x,x, and the number of hours Charlotte worked clearing tables last week, yy.
Answer: this is the answer please follow to the explanation
Step-by-step explanation:
21x + 14y = 168. X=2y
14y = -21x +168. 2y=x
14 divided by 14 on one side and
-21 + 168 divided by 14 on the other side
You should get...
Y= -3/2x +12
For part 2 where they want you to put the 2 numbers in, you should put the point they intercept which is (6,3).
Well, have a good day
What is the slope of y=-x+7y?
Answer:
The slope of y=-x+7y is m = - 1.
Step-by-step explanation:
y = m x + c
The intercept is (0,7) | constant term.
Lydia buys 5 pounds of apples and 3 pounds of bananas for a total of $8.50. Ari buys 3 pounds of apples and 2 pounds of bananas for a total of $5.25. Determine a system of equations that represents the given the situation. Let x be cost per pound of apples and let y be the cost per pound of bananas. Which equation represents the amount of money Lydia spent of apples and bananas? Which equation represents the amount of money Ari spent on apples and bananas?
Answer:
5x+3y=8.50 and 3x+2y=5.25
Step-by-step explanation:
because i got it correct
Answer:
b and c
Step-by-step explanation:
can anyone help me with this question?
Answer:
The answer is D, or 5/7
Answer:
The slope is 5/7
Step-by-step explanation:
From a point to get to the next point, you would need to go 5 up and 7 to the right in this graph.
In order to add or subtract matrices, what requirement must the matrices have?
Answer:
The must have the same dimension
Step-by-step explanation:
Two matrice may be added or subtracted only if they have the same dimension; that is, they must have the same number of rows and columns.
When we add 2 matrices the matrices should be of the same size and same dimension
A matrix is referred to as the collection of numbers or variables arranged in a set of rows and columns, where each number or variable is referred to as an "element".
In order to perform addition or subtraction on matrices, they must be of the same size and dimension ie. two matrices must have an equal number of rows and columns. Simply add or subtract the numbers in each corresponding position of the first matrix with the number in the same position of the second matrix. The sum of two matrices A and B will be a matrix that has the same number of rows and columns as A and B. The sum of A and B denoted A + B, is computed by adding corresponding elements of A and B
A=[tex]\left[\begin{array}{ccc}a1&a2\\a3&a4\end{array}\right][/tex] B=[tex]\left[\begin{array}{ccc}b1&b2\\b3&b4\end{array}\right][/tex]
A+B=[tex]\left[\begin{array}{ccc}a1+b1&a2+b2\\a3+b3&a4+a5\end{array}\right][/tex]
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Algebra 1
S.4 Find the slope from
Find the slope of the line that passes through (3, 4) and (10, 1).
Simplify your answer and write it as a proper fraction, improper fraction, or Integer.
Submit
Answer:
-3/7
Step-by-step explanation:
slope = (y2-y1)/ (x2-x1) = 4-1/3-10 = 3/-7
Larry shaded this area model to show an expression.
A model with 6 rows of 5 orange squares and 6 rows of 7 blue squares.
Which expressions did Larry model?
Check all that apply.
5(7)
30 + 42
6 + (5)(7)
6(5 + 7)
(6)(5) + (6)(7)
Answer:
The answers are B,D,E
Step-by-step explanation:
Answer:
bde
Step-by-step explanation:
Zachary is planning to send a video game to each of his two brothers. If he buys the same game for both
brothers and pays $6.25 to ship each game, how much can he spend on each game without spending
more than $100? Enter and solve an inequality for this situation. Let v be the cost of one video game.
The inequality is .
Zachary can spend no more than $
on each video game.
Answer: The required amount of money spent on each of the two video games is less than or equal to 45.25.
Step-by-step explanation: Given that Zachary is planning to send a video game to each of his two brothers. He buys the same game for both brothers and pays $4.75 to ship each game.
We are to write and solve an inequality find the amount spent on each game without spending more than $100.
Let $x be the amount that is spent on each of the two video games.
Then, according to the given information, the inequality can be written and solved as follows :
Thus, the required amount of money spent on each of the two video games is less than or equal to 45.25.
The function y=2x+6 is shifted down 8 units. What is the equation of the new function?
Answer:
y = 2x -2
Step-by-step explanation:
When you shift down or up, you move down or up the y-axis. Here, the 6 was the y-intercept, so you subtract 8 from 6.
x^2 − 15 = 1 please help
Answer:
x^2-15=1
x^2=16
4 x 4 = 16
THerefore...
x=4
Depending on how many choices there are -4 is also correct.
Any number squared is a positive.
x=4, x=-4
Step-by-step explanation:
I attached a file pls answer quick i gotta sleep
Answer:
P(2, 3.5)Step-by-step explanation:
If P partitions AB in the ratio 1:1, then P is the midpoint of AB
Using midpoint formula to find its coordinates
A = (1, 2), B = (3, 5) as per graphFinding P:
P = ((1+3)/2, (2+5)/2) = (2, 3.5)What is the simplified form of the expression V-64?
Answer:
v32
Step-by-step explanation:
i think not sure tho
What is the definition of a number trick? (Math)
Answer:
How does the number trick work?
Trick 1: Think of a number
Pick a whole number between 1 and 10.
Add 2.
Multiply by 2.
Subtract 2.
Divide by 2.
Subtract your original number.
Everyone's final answer will be 1.
Step-by-step explanation:
The Number 5 Trick. Ask somebody to think of a number and keep it secret. Then ask that person to double the secret number and then multiply by 5. Ask for the total. Whatever the total is, knock off the last digit and you will have the secret number the person mentally chose at the start.
LEMMEBE HONEST
I HAVE NO IDEAAAA
“Think-of-a-number” tricks
These tricks come in two types: Think of a number (but don't tell me), do some arithmetic with that number, and I can predict your result. Think of a number, do some arithmetic, tell me your result, and I can instantly say what number you started with.
Hope this helps!
Sending U good luck!
Write the first step you would take to solve each equation.
2. -4x - 6= -10x
Answer:
x=1 (Ans)
Step-by-step explanation:
2..-4x-6=-10x
-4x+10x=6
6x=6
x=6 divided by 6
Therefore, x=1(Ans)
El precio del saco de arroz es a 2 como el precio del saco de azúcar es a 3; si el producto de ambos precios es numéricamente 3 456, calcula el precio del saco de azúcar.
Answer:
El precio del saco del azúcar es de 72.
Step-by-step explanation:
Sean [tex]x[/tex], [tex]y[/tex] los precios del saco de arroz y el saco de azúcar, respectivamente. A continuación, traducimos cada oración relevante en ecuaciones matemáticas:
(i) El precio del saco de arroz es a 2 como el precio del saco de azúcar es a 3:
Aquí se menciona una igualdad entre expresiones racionales, es decir:
[tex]\frac{x}{2} = \frac{y}{3}[/tex]
[tex]3\cdot x -2\cdot y = 0[/tex] (1)
(ii) El producto de ambos precios es numéricamente 3456:
[tex]x\cdot y = 3456[/tex] (2)
Ahora resolvemos el sistema de ecuaciones, despejamos [tex]x[/tex] en (1):
[tex]x = \frac{2}{3}\cdot y[/tex]
Y la aplicamos en (2):
[tex]\frac{2}{3}\cdot y^{2} = 3456[/tex]
[tex]y^{2} = 5184[/tex]
[tex]y = 72[/tex]
El precio del saco del azúcar es de 72.
Set up an equation (part + part = whole). Solve the equation to find the value of x. 10 + x + x + 20 = 12
Answer:
x is equal to -9 thus it becomes -18 in the whole setup
Alex bought 3 tacos for $4.00. How much would she have to pay for 10 tacos at this rate?
Plz I need help!!!!!!!!!!!!!!!!!!
Answer:
The correct answer is 2437.5
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
PLEASE HELP!!! THANK YOU!!!
Answer:
1st attachment :-counters left = 160
fraction of counters left = 160/400
=2/5
2nd attachment :-a) how much cheaper = 13 ×(35.43 -15.37)
= 260.78
b) B.underestimate
Answer:
260.78
Step-by-step explanation:
Felicia ran a 4-mile race in 28 minutes. Complete the table to represent Felicia’s average rate of speed during the race.
Answer:
she runs an average 1mile every 7 minutes
Step-by-step explanation:
sorry if this does not help if this is not what u r looking for maybe clarify
hope this helps also i don't see where the chart is for the question
Dos padres de familia deseaban saber cuáles son los costos de los uniformes escolares que compraron a sus hijos, ya que el primero padre de familia realizó la siguiente compra: 2 pantalones y 2 playeras pagando por ello $820, el segundo padre de familia realizó la siguiente compra, 1 pantalón y 3 playeras pagando por ello $490. Resuelve los siguente cuestionamientos ¿Los padre de familia pagaron al mismo precio cada pantalón y playera? ¿Existe diferencia entre x e y en la ecuación 1 y con respecto a la ecuación 2?
Answer:
a) ¿Pagaron los padres el mismo precio por cada pantalón y camisa?
Sí, los padres pagaron la misma cantidad por cada pantalón y camisa porque,
1 camisa = $ 40
1 pantalón = $ 370
b) ¿Hay alguna diferencia entre xey en la ecuación 1 y con respecto a la ecuación 2?
Sí, hay una diferencia
Step-by-step explanation:
Dos padres querían saber el costo de los uniformes escolares que compraban para sus hijos, ya que
Representemos pantalones = p
camisas = s
Derivamos las 2 ecuaciones
El primer padre hizo la siguiente compra: 2 pantalones y 2 camisas pagando $ 820 por ella
2p + 2s = 820 ........ Ecuación 1
El segundo padre hizo la siguiente compra, 1 pantalón y 3 camisas pagando $ 490.
p + 3s = 490 ....... Ecuación 2
p = 490 - 3 s
Resolvamos el precio de cada pantalón y camisa.
Nosotros sustituimos
2p + 2s = 820
2 (490 - 3 s) + 2 s = 820
980 - 6s + 2s = 820
980 - 820 = 6 segundos - 2 segundos
160 = 4 s
s = 160/4
s = $ 40
Por lo tanto, el costo de cada camisa = $ 40
El costo de los pantalones =
p = 490 - 3 s
p = 490 - 3 (40)
p = 490 - 120
p = $ 370
El costo de cada pantalón = $ 370
Resuelve las siguientes preguntas.
a) ¿Pagaron los padres el mismo precio por cada pantalón y camisa?
Sí, los padres pagaron la misma cantidad por cada pantalón y camisa porque,
1 camisa = $ 40
1 pantalón = $ 370
b) ¿Hay alguna diferencia entre xey en la ecuación 1 y con respecto a la ecuación 2?
Sí, hay una diferencia
Planteando y resolviendo un sistema de ecuaciones, veremos que cada playera cuesta $40 y cada pantalon cuesta $370.
Definamos:
x = precio de pantalonesy = precio de playeras.Por la información dada, tenemos que:
2*x + 2*y = $820
1*x + 3*y = $490
Primero respondamos las preguntas:
Notar que ambas preguntas basicamente preguntan la misma cosa:
¿Existe diferencia entre x e y en la ecuación 1 y con respecto a la ecuación 2?
Es realmente imposible saber la respuesta, pero debemos asumir que no, dado que si x e y representan diferentes cosas en cada ecuación, entonces las variables no estan definidas, y el problema es imposible de resolver.
Así que asumimos que los precios son los mismos.
con esto en mente, podemos resolver el sistema:
2*x + 2*y = $820
1*x + 3*y = $490
Primero, aislamos una variable en una ecuación, en este caso voy a aislar x en la segunda:
x = $490 - 3*y
Reemplazamos eso en la primera:
2*($490 - 3*y) + 2*y = $820
$980 - 4*y = $820
$980 - $820 = 4*y
$160/4 = y = $40
Es decir, el precio de cada playera es $40.
Mientras que:
x = $490 - 3*$40 = $370
Cada pantalon cuesta $370
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