The required rate of the level of change of water in the swimming pool is 1 / 3 level per hour.
Given that,
The swimming pool is being filled with a hose.
The pool's water level rises 4 inches in hours.
To determine the rate per hour of the water level change.
Here,
Let 1 level of pool = 1 feet = 12 inches
The pool's water level rises 4 inches in hours. So, ti will rises 12 inches in 3 hours, which implies level change after 3 hours
Now the rate of level change of water = 1 / 3 level per hour
Thus, the required rate of the level of change of water in the swimming pool is 1 / 3 level per hour.
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find an equation of the line that satisfies the given conditions. through (4, 9), parallel to the y-axis
We can write the line's equation as y = 5.
What is the slope of a line?The slope of a line can indicate how the line behaves and changes its value. As we know, an increasing line is inclined to the right, whereas a decreasing line is inclined to the left. Furthermore, the steeper the line, the greater the change in value with respect to the independent variable.
To find the equation:
With the given conditions, we find the equation of the line.
We begin by recognizing that we can write the line's expression in the point-slope form, which is expressed as:
[tex]y-y_0=m\left(x-x_0\right)[/tex]Where [tex]\left(x_0, y_0\right)[/tex] is the point through which the line passes and m is the slope We have already been given the point:
[tex]\left(x_0, y_0\right)=(4,5)[/tex]Which the line passes through.
We are also told that the line is parallel to the x-axis. The x-axis, as we know, is a horizontal line, indicating that the slope is zero, or m = 0.We now write the line's equation:
[tex]\begin{gathered}y-y_0=m\left(x-x_0\right) \\y-5=(0)(x-4) \\y-5=0 \\y=5\end{gathered}[/tex]
Therefore, we can write the line's equation as y = 5.
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The complete question is given below:
Find an equation of the line that satisfies the given conditions. Through (4,5), parallel to the x-axis.
Find the side length of a cube with a volume of 422 yd ^3
Answer:
5.5 yd
Step-by-step explanation:
To find the side length of the cube, the volume is a clue. We know that all sides of a square are equal, and the volume of a cube is length×width×height. Since the length, width and height are all the same, we know it is V=x³. Since we know the volume, we can plug in and solve for x.
166=x³
In order to get x alone, we have to cube root both sides.
x≈5.5 yd
Help, this is the last question on my homework
Answer:
Hmmm maybe d if it's not d I'm sorry at least I helped you
Write a conditional statement that starts with: "If I do not have power at my
house, ..."
What was the conclusion of the conditional statement
Answer:
If I do not have power at my house I cannot charge my phone.
Step-by-step explanation:
This is a conditional statement so you can say anything you want as long as it makes sense. I don't know if you're a boy or girl so I'll put too statements. Boy: If I do not have power at my house I cannot play on my console with my friends. Girl: If I do not have power at my I cannot curl my hair for the dance tonight.
Hope this helps you!!!
Can anyone help me solve this om convised
Answer:c a b
Step-by-step explanation:because √225 is = 15
36*[tex]\pi[/tex]=113.04
and 200=200 which is greater than both of those numbers.So the answer is c a b
Write the steps in detail
On how to solve an angle bisector
problem, please use completé sentences.
A triangle's opposite side is split in half by an angle bisector into two segments that are proportional to the other two sides.
We can solve this problem by using the formula explained in the angle bisector theorem below.
Angle Bisector theorem :
In the below image, PS is the angle bisector of ∠P in ΔPQR.
As a result, we can state that by using the angle bisector theorem as
PQ/PR = QS/SR
or
a/b = x/y.
By this, we can solve the angle bisector theorem.
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Find the circumference using the formula.
Calculate your answer to the nearest hundredth.
Hello!
[tex]\large\boxed{C = 21.98in}[/tex]
Use the equation C = dπ to solve:
π ≈ 3.14
C = 7 × 3.14
C ≈ 21.98 in
A plumber charges $25 for a service call plus $50 per hour of service.what is the linear equation?
GIVING BRAINIEST
The time it takes to travel a fixed distance varies inversely with the speed traveled. If it takes Pam 1.5 hours to bike to her fishing spot at 9 miles per hour (how long will it take her if she rides at 12 miles per hour?
Answer:
Takes her 2 hours
Step-by-step explanation:
Tickets numbered 4, 5, 6......48, 49 are placed in a box and mixed thoroughly. One ticket is drawn from the box. Find the probability that the number on the ticket is:
(i) an even number (ii) A number less than 16
(iii) a perfect square (iv) a prime number less than 30.
Answer:
i) The probability that the number on the ticket is even is [tex]\mathbf{\frac{1}{2}}[/tex]
ii) the probability that the number on the ticket is a number less than 16 is [tex]\mathbf{\frac{6}{23}}[/tex]
iii) The probability that the number on the ticket is a perfect square is [tex]\mathbf{\frac{5}{46} }[/tex]
iv) the probability that the number on the ticket is a prime number less than 30 is [tex]\mathbf{\frac{4}{23} }[/tex]
Step-by-step explanation:
Tickets numbers are: 4, 5, 6......48, 49
So, total tickets in box = 46
We need to find probability that the number on the ticket is:
i) an even number.
Even number in tickets are: 4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40,42,44,46,48
Total number of favourable outcomes = 23
So, the formula used is: [tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}[/tex]
Total number of outcomes = 46
Number of favourable outcomes = 23
Putting values and finding probability
[tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}\\Probability=\frac{23}{46}\\Probability=\frac{1}{2}[/tex]
So, the probability that the number on the ticket is an even number is [tex]\mathbf{\frac{1}{2}}[/tex]
ii) A number less than 16
Even number in tickets are: 4,5,6,7,8,9,10,11,12,13,14,15
Total number of favourable outcomes = 12
So, the formula used is: [tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}[/tex]
Total number of outcomes = 46
Number of favourable outcomes = 12
Putting values and finding probability
[tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}\\Probability=\frac{12}{46}\\Probability=\frac{6}{23}[/tex]
So, the probability that the number on the ticket is a number less than 16 is [tex]\mathbf{\frac{6}{23}}[/tex]
iii) a perfect square
Perfect squares are: 4,9,16,25,36
Total number of favourable outcomes = 5
So, the formula used is: [tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}[/tex]
Total number of outcomes = 46
Number of favourable outcomes = 5
Putting values and finding probability
[tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}\\Probability=\frac{5}{46}[/tex]
So, the probability that the number on the ticket is a perfect square is [tex]\mathbf{\frac{5}{46} }[/tex]
iv) a prime number less than 30.
Prime numbers less than 30 are: 5,7,11,13,17,19,23,29
Total number of favourable outcomes = 8
So, the formula used is: [tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}[/tex]
Total number of outcomes = 46
Number of favourable outcomes = 8
Putting values and finding probability
[tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}\\Probability=\frac{8}{46}\\Probability=\frac{4}{23}[/tex]
So, the probability that the number on the ticket is a prime number less than 30 is [tex]\mathbf{\frac{4}{23} }[/tex]
which graph best represents this system of equations and its solution . 8x-4y=-16 3x+15y=-6
Answer:
B
Step-by-step explanation:
The required graph that represents the system of the equation and their solution is shown. Option D is correct.
Given that,
To determine the graph which shows the system of equation 8x-4y=-16 3x+15y=-6 and their solution,
The graph is a demonstration of curves that gives the relationship between the x and y-axis.
Here,
The given system of equations is 8x-4y=-16 3x+15y=-6,
The solution of the above equation is given when applying methods like substitution, elimination and sublimation is (-2,0).
Plotting the graph of the system of equations it comes out to be as shown.
Thus, the required graph that represents the system of the equation and their solution is shown. Option D is correct.
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Hello I NEED help! Pls help in 10 min
what is 5/3 divided by 7
Answer:
Step-by-step Turn 7 into a fraction
3/5 ÷ 7/1
Use the recipricle and multiply
3/5 x 1/7
Multiply across
3/35
And that's it! :)
Answer:
5/21
Step-by-step explanation:
Here is a strategy I want you to remember: Keep, Change, Flip. What do I mean by that? Well...
Keep the first fraction. Change the division sign into a multiplication sign. Make the numerator of the second fraction become the denominator--and make the denominator of the second fraction become the numerator.
The denominator of any whole number is always 1. So, 7 equals to 7/1. Time to find the reciprocal of 7/1! What does reciprocal mean?
Reciprocal - Flip the fraction in terms of the numerator and denominator; Multiplicative Inverse
1/7 is the reciprocal of 7/1, for this mathematical problem. Makes sense, right?
Now, 5 times 1 equals 5 (that is the numerator). Secondly, 3 times 7 equals 21 (that is the denominator).
[tex]\frac{5}{3} * \frac{1}{7} = \frac{5}{21}[/tex]
Kailey and Justin both hire tutors for math and pay them per hour. After tutoring 8.5 hours, Justin pays his
tutor $242.25. The table below shows how much Kailey paid her tutor.
Which person paid more for tutoring and by how much?
Answer:
(A) kailey paid $3.50 more per hour
Answer:
kailey paid $3.50 more per hour
Step-by-step explanation:
Work out the 3rd term of the sequence 3n +5.
a. 11
b. 14
c. 17
A scuba diver starts at sea level, an elevation of 0 meters. He dives
down 8 meters and stops to look at a fish. Then he dives down
another 5 meters. How deep is the scuba diver now?
Answer:
13 m
Step-by-step explanation:
he starts at 0 then dive 8 m and another 5 m so
0-8-5= -13
What is 31/87 as a percentage?
Give your answer rounded to one decimal place.
Answer:
35.6%
Step-by-step explanation:
31/87(100)
3100/87
35.6%
Answer:
35,6%
Step-by-step explanation:
31/87 = 0,35632184
As a percentage: 35,632184%
Rounded to one deciman place: 35,6%
cos A = -3/4
find the exact value of tan A
pls tell me the answer to the question ASAP i'll give brainliest lol
oof whats that
Step-by-step explanation:
How many solutions does this system have?
A None
B 11
C 22
D Infinitely many
Answer:
A. None
General Formulas and Concepts:
Algebra I
Perpendicular Lines/Intersecting Lines have 1 solution.2 identical Lines have infinitely many solutions.Parallel Lines have no solution.Step-by-step explanation:
According to the graph, we see that we have 2 parallel lines. Therefore, there will be no solution.
18・1
A. commutative property of addition
B. additive identity property
C. multiplicative identity property
D. commutative property of multiplication
Answer:
My guess would be
C. multiplicative identity property
Answer:
C.
multiplicative identity property
Aiden gets paid 152.80 for 8 hours of washing cars at this rate how much will aiden make in half an hour
HELP ME PLEASE
20 POINTS IF YOU ANSWER
Answer:
$9.55
Step-by-step explanation:
152.80/8=19.10-what he makes per hour
19.10/2=9.55 what he makes for half an hour
Answer:
19.1 I think is the answer I am not sure
Step-by-step explanation:
Reuben bought 5CDS that were each the same priceIncluding sales tax, he paid a total of \$81.50. Each CD had a tax of $0.60. what was the price of each cs before tax ?
Answer:
The price of each CD before tax is $15.70
Step-by-step explanation:
Given that:
Number of CDs bought by Reuben = 5
Cost of five CDs = $81.50
Sales tax on each CD = $0.60
Sales tax on 5 CDs = 0.60*5 = $3.00
Price of CDs without tax = 81.50 - 3.00 = $78.50
Price of each CD = [tex]\frac{Cost\ of\ CDs}{No.\ of\ CDs}[/tex]
Price of each CD = [tex]\frac{78.50}{5}[/tex]
Price of each CD = $15.70
Hence,
The price of each CD before sales tax is $15.70
2. Here are some equations that are related to `x-0.1x+2.70=56.70`. Each equation is a result of performing one or more moves on that original equation. Each can also be interpreted in terms of Noah's purchase.
Question isn't complete so we assume you wish to solve the equation above
`x-0.1x+2.70=56.70
Answer:
Step-by-step explanation:
To solve this equation
x-0.1x+2.70=56.70
We first find like terms and then subtract both sides of the equation
x-0.1x+2.70=56.70= 1x-0.1x+2.70=56.70
Add like terms
0.9x+2.70=56.70
Subtract both sides of equation
0.9x=56.70-2.70
Divide both sides
0.9x=54
x=54/0.9
x= 60
Solve for all values of x in simplest form, |x - 2| - 1 = 2
Answer:
(x-2)-1=2
(x-2)-1 +1=2+1
(x-2)=3
x=3+2
x= 5
What is it plz thxjxjfif
Answer: B. 9(x + 9)
Step-by-step explanation:
Answer:
B. 9(z+9)
Step-by-step explanation:
Which is equivalent to 2163?
3
6
36
7
Answer:
Numbers 3 and 7
Step-by-step explanation:
2163÷3= 721
2163÷6= 360.5
2163÷36= 60.08
2163÷7= 309
The answer is number 3 and 7 since both can be divided by 2163 without having remainders like number 6 and 36
Answer: 3
Step-by-step explanation:
Barbara photographs a bird. The bird measures 8.6 cm tall in the photo and is actually 52.4 cm tall. Approximately how long is the bird's beak if it measures 1.1 cm in the photo?
An actual measurement represents a reading that is taken manually at the physical thickness measurement location on the equipment.
Find the solution ?actual measurement = 8.6cm(bird's height), ? (beak)
photo measurement = 52.4(birds height), 1.1 (beak)
if 52.4 = 8.6
1.1 = 1.1 x 8.6
52.4
= it is roughly 0.18cm
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Suppose 2a-3b = -23. Given that a and b are consecutive integers and a
Answer:
a = 20 and b = 21
Step-by-step explanation:
Given:
2a-3b = -23
a and b are consecutive
Find:
a and b
Computation:
a = b - 1
So,
2a-3b = -23
2(b-1)-3b = -23
2b - 2 - 3b = -23
-b = -21
b = 21
So
a = b - 1
a = 21-1
a = 20
Please help
Solve the following equation, and check your solution.
Show all of your work.
17+ n/5 = 33
Answer:
n = 80
Step-by-step explanation:
Plug in 80 for n to check:
17 + 80/5 = ?
17 + 16 = 33
Solve.
100x − 200 > 60x − 120
Answer:
x>2
Step-by-step explanation:
Step 1: Subtract 60x from both sides.
100x−200−60x>60x−120−60x
40x−200>−120
Step 2: Add 200 to both sides.
40x−200+200>−120+200
40x>80
Step 3: Divide both sides by 40.
40x/40> 80/40
x>2
Hope this helped :)