Given:
Over 12 hours the water in Julie's pool drained a total of 534.72 liters.
It drained the same number of liters each hour.
To find:
The change in the number of liters of water in Julie's pool each hour and what is the unit rate.
Solution:
We have,
Water drained in 12 hours = 534.72 liters
Water drained in 1 hour = [tex]\dfrac{534.72}{12}[/tex] liters
= [tex]44.56[/tex] liters
44.56 liters water drained in 1 hour.
So, the change in the number of liters of water in Julie's pool each hour is 44.56 liters.
The water is decreasing with respect to time, so the rate of change must be negative.
Rate of change = -44.56 liter per hour
Therefore, the rate of change is -44.56 liter per hour.
As a member of a music club, you can order CDs for $14.99 each. The music club also charges $4.99 for shipment each. The expression 14.99n +4.99 represents the cost of n CDs. Find the total cost for ordering 3 CDs
Answer:
14.99x3=44.97+4.99=49.96. You will have to pay $49.96 for the three CDs plus the shipping charge.
Step-by-step explanation:
Match the system of equations to their solutions
Answer:
2x + y = 12 & x = 9 - 2y --- (x = 5, y = 2)
x + 3y = 16 & 2x - y = 11 --- (x = 7, y = 3)
y = 11 - 2x & 4x - 3y = -13 --- (x = 2, y = 7)
2x + y = 11 & x - 2y = -7 --- (x = 3, y = 5)
Step-by-step explanation:
Explain how to solve 2(x-1)=-200
I attached the answer below. Please take a look. You're welcome.
Who earns more per hour, and what is his or her pay rate?
What is solution of 5(x - 3)=4(x + 2)
Answer:
x=23
Step-by-step explanation:
You simplify both sides of the equation, then isolate the variable.
Answer:
x=23
Step-by-step explanation:
Dusty earns $5 for every 10 newspapers he delivers. Write and graph an equation which shows how much he earns for each delivered newspaper. How much would he earn if he delivered 320 papers?
I need help with this ASAP and can you explain so i can understand?!
Answer:
Adult tickets sold = 225
Student Tickets sold = 375
Step-by-step explanation:
Let:
Adult tickets sold = x
Student Tickets sold = y
Total tickets sold = 600
So, we can write: x+y = 600
Total money collected = 3037.50
Cost of 1 Adult ticket = $6.00
Cost of one Student ticket = $4.50
So, we can write: 6x+4.5y=3037.50
Now, we get a system of equations, that if solved we can find values of x and y
Let:
[tex]x+y = 600--eq(1)\\6x+4.5y=3037.50--eq(2)[/tex]
We can solve using substitution method.
Finding value of x from eq(1) and putting it in eq(2)
[tex]We\:have\\x+y=600\\x=600-y[/tex]
Put in eq(2)
[tex]6x+4.5y=3037.50\\6(600-y)+4.5y=3037.50\\3600-6y+4.5y=3037.50\\-1.5y=3037.50-3600\\-1.5y=-562.5\\y=\frac{-562.5}{-1.5}\\y=375[/tex]
So, we get value of y = 375
Now put value of y in eq(1) to find value of x
[tex]x+y=600\\Put\:y=375\\x+375=600\\x=600-375\\x=225[/tex]
So, we get value of x = 225
The Tickets sold will be:
Adult tickets sold = x = 225
Student Tickets sold = y = 375
Please help! If you have any questions please just ask
The measure of an interior angle of a regular polygon is 174. Find the number of sides in the polygon.
Answer:
6
Step-by-step explanation:
it as a interior angle of a regular polygon is 23
How many solutions does this equation have?
–4s = –10 − 5s
does it have 1 solution or zero or infinity many solutions
[tex] - 4s = - 10 - 5s \\ - 4s + 5s = - 10 \\ s = - 10[/tex]
Answer Check by substituting s = -10 in the equation.[tex] - 4( - 10) = - 10 - 5( - 10) \\ 40 = - 10 + 50 \\ 40 = 40 \: \: \tiny \boxed{ \green \checkmark}[/tex]
SolutionsNo Solutions
When both sides of equation are different. For example, 3 = 4 which makes the equation false. That means the equation is false for all real numbers, thus having no solutions.
One Solution
A common type solution because you see this type of solution a lot. If you can solve the equation for a variable like x = 2 or s = 0. That's one solution.
Infinitely Many Solutions
When both sides are same like 3 = 3 or 7 = 7. That means the equation is true for all real numbers. You can see this type of solution by solving the equation with same both sides like 3x+2 = 3x+2.
AnswerBecause we can solve the equation for s-term. Therefore the answer is one solutiona line passes through the point (-6,-7) and has a slope of 5/2
Write an equation in slope intercept form for this line
Answer:
Draw a line of a givens point
The perimeter of a rectangle is 560 feet. Let X represent the width of the rectangle. Write a quadratic function for the area A of the rectangle in terms of its width.
Answer:
hi deez
Step-by-step explanation:
You plan to meet a friend at a local bowling alley on Sunday afternoon. Prior to bowling, you must pay an initial fee of $6.00 to rent shoes and will then pay $4.00 per game you play. Which equation (written in slope-intercept form) best models this scenario? Let y represent your total cost and x represent the number of games you play. Group of answer choices y = 4x + 6 y = 2x + 6 y = 6x + 4 y = 4x
Answer:
[tex]y = 4x + 6[/tex]
Step-by-step explanation:
Given
[tex]Initial\ Fee = \$6.00[/tex]
[tex]Rate = \$4.00[/tex]
Required
Derive the linear equation
Let the number of games be x.
Let the total cost be y
So, if the rate of 1 game is $4
Then x games costs 4x
The total cost (y) is then calculated as:
y = Initial Fee + Cost of x games
Substitute values for initial fee and cost of x games
[tex]y = 6 + 4x[/tex]
Rewrite as:
[tex]y = 4x + 6[/tex]
6a - 3d
When a =1,d=2
Is it 0
3
1
12
Answer:
0
Step-by-step explanation:
Jerome works as a waiter. He earns $80 each weekend plus 15% in tips on meals served. Jerome served $725 worth of meals last weekend how much did Jerome? earn last weekend?
Answer:
725/100 X 15 = 108.75
108.75 + 80 = 188.75
weekend = $188.75
Which type of function is shown in the table below?
Answer:
Linear function
Step-by-step explanation:
None of the X values repeat so its Linear
If you could help I would really appreciate it, but if not that’s fine. Thank you.
Q1. The volumes of two spheres are 640 cm3 and 270 cm3. Find the ratio of
their diameters. Plz help cie igcse math
Answer:
Formula
V=4/3[tex]\pi[/tex]R³ => R = ∛3V/4[tex]\pi[/tex]
With V1 = 640 cm³ and V2=270 m³
[tex]\pi[/tex] = 22/7
=> You can substitute the numbers above to calculate R1 and R2
Step-by-step explanation:
Have fun
Answer:
[tex]\boxed{\text{\sf \Large 4:3}}[/tex]
Step-by-step explanation:
Volume of sphere=4/3πr³
1. 4/3πr³=640
r=5.346018
d=10.692036
2. 4/3πr³=270
r=4.009514
d=8.019028
Simplify ratio
10.692036 : 8.0190284:3can anyone answer 7(x+3) and show work ?
Answer:
7x + 21
Step-by-step explanation:
7(x+3)
7x + 7(3)
7x + 21
8 cm
What is the area of the circle above?
OA. 8 sq cm
OB. 24 sq cm
OC.
16 sq cm
OD. 64 sq cm
Answer:
Step-by-step explanation:
A = (3.14)(8)2
= 200.96
fred sold half of his comic books and then bought 8 more he now has 16 how many did begin with
Answer:
16 I think
Step-by-step explanation:
If he now has 16 and he bought 8 you have to do 16-8 which is 8. He sold half and got to 8. Half of 16 is 8. (Sorry if that didn't make sense)
I hope this helped!
What is the y intercept of the following equation
3x-2y=4
Answer: y = -2 + 3/2x
Step-by-step explanation:
1. 3x - 2y = 4 (move the variable to the right of the equal)
1.1. -2y = 4 - 3x
2. y = -2 +3/2x (divide both sides by -2)
Can someone please explain to me how I would do this, I cannot figure out how to do this equation at all!!
Answer:
First, do 4x*4x. then,16x*16x. next, 64x*64x. and,256x*256x. answer:1024x. Divide 1024x by 8x. answer to that is 128.
Answer:
The expression in simplified form:
[tex]\frac{4x^5}{8x}=\frac{x^4}{2}[/tex]
Step-by-step explanation:
Given the expression
[tex]\frac{4x^5}{8x}[/tex]
We need to simplify the expression.
Simplifying the expression
[tex]\frac{4x^5}{8x}[/tex]
Cancel the common factor: 4
[tex]=\frac{x^5}{2x}[/tex]
Cancel the common factor
[tex]=\frac{x^4}{2}[/tex]
Therefore, the expression in simplified form:
[tex]\frac{4x^5}{8x}=\frac{x^4}{2}[/tex]
can someone help me pls?
1=3
2=6
3=9
11=?
3=9
11=x
x=9*11/3
x=33
when a natural number is decreased by 20,the result is 96 times the reciprocal of the number.find the number
Answer:
let natural no be x
(x-20)=96/x
x²-20x-96=0
x²-24x+4x-96=0
x(x-24)+4(x-24)=0
(x-24)(x+4)=0
either
x=24
x=-4
5. Show 3 different ways on how you can multiply two polynomials to get 30x^3.
For example: 5x^2 - 6x = 30x^3
Write the equation of the line, in slope intercept form through the following two points
(-9,-1)
(4,0)
Answer:
y=1/13x - 4/13
Step-by-step explanation:
Just follow the slope intercept form formula-
Formula: y= mx+b
Key:
y = y-coordinate
m = slope
x = x-coordinate
b = y-intercept
Feel free to ask if you have any questions, hope this helps!(:
Do my boys got me? Also giving brainliest ! Need D, E, and F
Answer:
Darn, I could have helped you but I'll leave it to the boys :) goodluck!!
pls help me answer this :’)
Answer:
Commutative and multiplicative identity
Step-by-step explanation:
mark brainlyist
Helppppppppppppppppppppp due in 2hrs
plz watch for more questions
Answer:
2x = 3
Step-by-step explanation:
Here we have a balanced equation using the hanger method.
The left side shows two x'es, so the left side of the equation should be 2x.
The right shows three units with a value of "1", so the right side of the equation should be 3.
As a result, 2x = 3 is our final answer.