The required surface area would be A= 2πr² + 710/r which represents area A as a function of its radius r, where r is measured in centimeters.
The can's surface area A and volume V are determined by the equation if the container has a radius of r and a height of h.
A= 2πr² + 2πrh and V = πr²h
The volume V of a 12 oz cola can is 355 cm³
Given that cola can is approximately cylindrical.
V = πr²h = 355 cm³
h = 355 / πr²
Substitute the value of h in the can's surface area A, we get
A= 2πr² + 2πr(355 / πr²)
A= 2πr² + 2(355/r)
A= 2πr² + 710/r
Therefore, the required surface area would be A= 2πr² + 710/r which represents area A as a function of its radius r, where r is measured in centimeters.
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Y=1/6x-7 find slope and y intercept
Answer:
1/6 is the slope and -7 is the y intercept
Step-by-step explanation:
y=mx+b
m is slope
b is y intercept
please help Brainly.....
Simplify the Expression
7 + 8k - 5 + 3 - 3r + 2k - r
Answer: It is 10k - 4r + 5
Step-by-step explanation: For these type of questions, always combine like terms.
Determine the length of a ladder that Sir Gleefulheart needs to reach the top
of the battlement (castle) to the nearest meter if the moat (water)
surrounding the battlement is 6 meters wide. The top of the battlement is 8
meters above the moat. *
9514 1404 393
Answer:
10 meters
Step-by-step explanation:
You recognize that the ratio of leg lengths of the right triangle involved is ...
6 : 8 = 3 : 4
You know that any right triangle with leg lengths 3 and 4 has a hypotenuse of 5. The ladder will need to be in the same ratio:
3 : 4 : 5 = 6 : 8 : 10
The ladder needs to be 10 meters long.
_____
In case you don't remember that (3, 4, 5) is a "Pythagorean triple," you can figure the length using the Pythagorean theorem.
6^2 +8^2 = hypotenuse^2
36 +64 = 100 = hypotenuse^2
hypotenuse = √100 = 10 . . . . required ladder length in meters
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Can u plz help me with this
Answer:
the rate of gas usage is 44.7 miles per gallon.
The table shows the amount of flour
used to make waffles. What is the unit
rate for the amount of flour per waffle?
Answer:
⅛ cups per waffle
Step-by-step explanation:
What is the slope line of a perpendicular to this line " y = 5x -4 "
Answer:
m=9
Step-by-step explanation:
Enter a value for x that makes the equation 7x - 2(x + 1) + 18 = 8x - 11 true.
Answer:
9
Step-by-step explanation:
The given equation is true for x=-5/3.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation is 7x-2(x+1)+18 = 8x-11.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
The solution for the equation 7x-2(x+1)+18 = 8x-11 is as follows
7x-2x-2+18 = 8x-11
⇒ 5x-16=8x-11
⇒ 8x-5x=-16+11
⇒ 3x=-5
⇒ x=-5/3
Verification:
Substitute x=-5/3 in the given equation and verify
That is, 5(-5/3)-16=8(-5/3)-11
⇒ -25/3 -16=-40/3 -11
⇒ (-25-48)/3 = (-40-33)/3
⇒ -73/3 =-73/3
LHS = RHS
Therefore, the given equation is true for x=-5/3.
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1/2n+3=6 help me out i dont know this
Answer:
n=6
Step-by-step explanation:
For field day, Mr. Cotman has a total of 49 water balloons. He gives each group 7 balloons.
How many groups does Mr. Cotman give balloons to?
groups
Answer:
7
Step-by-step explanation:
49(waterballoons) divided by 7=7groups
i don’t know how to solve this
9514 1404 393
Answer:
x ∈ (-∞, 9) U (-1, ∞)
Step-by-step explanation:
Get the absolute value by itself. Do that by multiplying by 4.
|3x +15| > 12
This resolves to two cases:
3x +15 > 12
x +5 > 4 . . . . divide by 3
x > -1 . . . . . . .subtract 5
-(3x +15) > 12
x +5 < -4 . . . . divide by -3
x < -9 . . . . . . . subtract 5
Then the solution in interval notation is ...
x ∈ (-∞, 9) U (-1, ∞)
an=46+5(n-1),n=1,2,3...
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:n=1,2,3
an=46+5(1-1)
an=46+5=51.
an=46+5(2-1)
an=46+5*1=51
an=46+5(3-1)
an=46+4*2
an=46+8=54
an=51(1)
an=51(2)
an=54(3)
A recipe for a blueberry dessert requires 5 cups of fresh blueberries for every 312cups of whipped cream. At this rate, how much whipped cream is needed if 2 cups of blueberries are used?pls i need halp
Answer:
A 5:3
Step-by-step explanation:
Answer: 124.8cups of whipped cream
Step-by-step explanation:
for every 5 cups of blueberries there are 312 cups of whipped cream so you will multiply 312 and 2
(312×2= 624)
Then divide it by 5
(624÷5= 124.8)
5x - 7 + 2x = 21 solve the linear and state the property that justifies your first step
Answer:
x = 4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define equation
5x - 7 + 2x = 21
Step 2: Solve for x
Combine like terms: 7x - 7 = 21Add 7 on both sides: 7x = 28Divide 7 on both sides: x = 4The lunch special at a diner offers you a choice of 5 sandwiches, 2 salads, 3 soups, 6 drinks, and 2 desserts. How many different meals are possible if you choose one item from each category?
Answer:
360
Step-by-step explanation:
there are 360 different meal combos possible if you choose 1 of each because 5×2×3×6×2 is 360
Se necesitan conductores voluntarios para llevar a 80 estudiantes al juego de béisbol de campeonato. Los conductores tienen automóviles, con capacidad para 4 estudiantes, o camionetas, con capacidad para 6 estudiantes. La ecuación describe la relación entre la cantidad de automóviles y la cantidad de camionetas que pueden transportar exactamente a 80 estudiantes.
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Pregunta completa
Se necesitan conductores voluntarios para llevar a 80 estudiantes al juego de béisbol del campeonato. Los conductores cuentan con automóviles, con capacidad para 4 estudiantes, o camionetas, con capacidad para 6 estudiantes. La ecuación describe la relación entre la cantidad de automóviles y la cantidad de camiones que pueden transportar exactamente 80 estudiantes.
Seleccione todas las afirmaciones que sean verdaderas sobre la situación.
a) Si van 12 coches, se necesitan 2 furgonetas.
b) c = 14 y v = 4 son un par de soluciones de la ecuación.
c) Si van 6 coches y van 11 furgonetas, habrá espacio adicional.
d) 10 coches y 8 furgonetas no son suficientes para transportar a todos los estudiantes.
e) Si pasan 20 autos, no se necesitan camionetas.
f) 8 furgonetas y 8 coches son números que cumplen con las limitaciones en esta situación.
Answer:
La opción b, e y f.
Step-by-step explanation:
Pasando por las opciones dadas:
c = coches que pueden llevar a 4 estudiantes
v = furgonetas con capacidad para 6 estudiantes
a) Si van 12 coches, se necesitan 2 furgonetas.
= 12 (4) + 2 (6)
= 48 + 12
= 60
60 ≠ 80
La opción a es incorrecta
b) c = 14 y v = 4 son un par de soluciones de la ecuación.
14 (4) + 4 (6)
56 + 24 = 80 estudiantes
La opción b es correcta
c) Si van 6 coches y van 11 furgonetas, habrá espacio adicional.
Por lo tanto:
5 (4) + 11 (6)
= 20 + 66
= 86.
86 es mayor que 80, la opción c es correcta, habría un espacio adicional para 6 estudiantes.
d) 10 coches y 8 furgonetas no son suficientes para transportar a todos los estudiantes.
Por lo tanto:
10 (4) + 8 (6)
40 + 48
= 88
e) Si pasan 20 autos, no se necesitan camionetas.
20 (4) = 80 estudiantes
La opción e es correcta
f) 8 furgonetas y 8 coches son números que cumplen con las limitaciones en esta situación.
8 (6) + 8 (4)
= 48 + 32
= 80 estudiantes.
La opción b es correcta
Por lo tanto, la ecuacióna que describe la relación entre la cantidad de automóviles y la cantidad de camiones que pueden transportar exactamente 80 estudiantes es la opción b, e y f.
On a school field trip, the bus travels 20 miles in 30 minutes. Find the speed of the bus in miles per hour. Use the equation d=rt, where d is distance, r is rate, and t is time.
Answer:
40mph
Step-by-step explanation:
Using D = rt, the current variables we have are
D = 20 miles
t = 30 minutes
Since the goal is rate, we alter the equation to r = D/t.
In addition, we have to convert minutes into hours so we can
r = (20 / 30)*2/2
r = (40/60)
60 minutes is converted into an hour so the rate r is 40 miles per hour.
r = 40/1
If p is the hypothesis of a conditional statement and q is the conclusion, which is represented by ~p → ~q?
In which number does the 5 represent a value 10 times the value represented by the 5 in 35,187
Solve the equation 25+11/12b = 47 [11/12 is the fraction eleven twelfths]
DUE IN 10 MINUTES NO TROLL ANSWERS OR GET REPORTED THE QUESTION IS FOR 20 POINTS
Answer:
i think b=24
Step-by-step explanation:
Answer:
b = -864/11 = -78.545
Step-by-step explanation:
Choose likely or unlikely to describe the probability of the outcome for each situation.
c. There is a 15% chance that a person wins a raffle prize. Ms. Ragland wins a raffle prize.
Answer:
unlikely
Step-by-step explanation:
If 4x²+ y²= 40 and xy = 6 , find the value of (2x − y).
answer is 2x+y=±8
hopes this helps u
Step-by-step explanation:
first find the value of X and y from above data then put that data for question
At a cricket match 4/9 of the supporters are supporting the home team.
The rest are supporting the away team. 3/5 of the away team supporters
are male.
a. What fraction of all the supporters are male and supporting the away
team?
b. What fraction of all the supporters are female and supporting the away
team?
The fractions of all the supporters that are male and support the away
team is 1/3
The fractions of all the supporters that are female and support the away
team is 2/9.
What is a fraction?A fraction is a value representing a part of a whole.
We have,
Supporters for the Home team = 4/9
Supporting for the away team = 1 - 4/9 = 5/9
Now,
Male supporters from the away team = 3/5 x 5/9 = 1/3
So,
Female supporters from the away team = (1 - 3/5) x 5/9 = 2/5 x 5/9 = 2/9
Thus,
The fractions of all the supporters that are male and support the away
team is 1/3
The fractions of all the supporters that are female and support the away
team is 2/9.
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Find x.
12
10
8
10.5
Answer:
im doing this one right now and i think the answermis 10
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
help me please, what are the like terms?
Step-by-step explanation:
Like terms are are terms whose variables (and their exponents such as the 2 in x 2) are the same. In other words, terms that are "like" each other. Note: the coefficients (the numbers you multiply by, such as "5" in 5x) can be different.
So like in your picture x and x would be like terms... your picture helps as well to identify your like terms because your like terms have the same background color to there particular rectangle.
The selling price of a refrigerator is $478.80 if the markup is 5% of the dealers cost, what is the dealers cost of the refrigerator
The dealer's cost of refrigerator is $456.
We are given the total selling price and mark up according to dealer's cost. So, let us assume the dealer's cost be x.
x + 5% × x = 478.80
Converting mark up percentage to fraction and then decimal form
x + 0.05x = 478.80
Performing addition on Left Hand Side of the equation to find the value of x
1.05x = 478.80
Shifting 1.05 to Right Hand Side of the equation
x = 478.80 ÷ 1.05
Performing division to Right Hand Side of the equation to find the value of x
x = 456
Hence, the dealer's cost will be $456.
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when would a transformation NOT be considered rigid?
Answer:
when the plant at the end dies
Write the formula for the volume V of a cube with sides of length t. is V a function of t?
Answer:
The volume of a cube with the side length 't' will be:
V = t³
Yes! the volume of the cube is a function of the side length as the volume is a dependent quantity and depends on the value of side length.
Step-by-step explanation:
We have to determine the volume of a cubeWe know that volume is the measurement of how much space a 3-d object takes up.
Given that the cube with the side length 't'.
As every edge of the cube is the same length.
Thus, the volume of a cube with the side length 't' will be:
V = t³
For example, if the side length t = 2 cm
Then,
V = 2³ = 8 cm³
Yes, the volume of the cube is a function of the side length as the volume is a dependent quantity and depends on the value of side length.
Whats The Answer Marking Brainliest, Please explain your answer:D..............................Please HELP!!!!
Answer:
A
Step-by-step explanation:
Answer:
a
Step-by-step explanation: