Answer:
[tex]\displaystyle \frac{34 \pi}{15} \ \frac{rad}{sec}[/tex]
General Formulas and Concepts:
Math
Dimensional AnalysisPre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightPre-Calculus
Angular Speed: 2π rad per revolutionStep-by-step explanation:
Step 1: Define
68 revolutions per minute
Step 2: Identify Conversions
2π rad per revolution
60 seconds = 1 minute
Step 2: Convert
[DA] Set up: [tex]\displaystyle \frac{68 \ rev}{1 \ min} \cdot \frac{2 \pi \ rad}{1 \ rev} \cdot \frac{1 \ min}{60 \ sec}[/tex][DA] Multiply/Divide [Cancel out units]: [tex]\displaystyle \frac{34 \pi}{15} \ \frac{rad}{sec}[/tex]if i had 39 containers of water and each container held 24 quarts. How many quarts water are in the 39 containers?
Answer:
936 quarts
Step-by-step explanation:
[tex]n=24*39=936quarts[/tex]
A man bought a certain number of golf balls for RM 20. If each ball has costed 20 cents less, he could have bought five more for the same money. How many golf balls did he buy?
Answer:
He bought 20 balls
Step-by-step explanation:
Cost of a certain number of golf balls = $20
Let 1 golf ball cost $x
This means number of balls bought = 20 / x
If each ball has costed 20 cents less;
Converting 20 cents to dollars = $0.2
$x - $0.2
he could have bought five more for the same money.
Number of balls = 20/x + 5
Using the formulae;
Cost of 1 ball * Number of balls bought = Amount spent
(x-0.2) (20/x + 5) = 20
Expanding the expression;
x(20/x + 5) - 0.2(20/x + 5) = 20
20 + 5x - 4/x - 1 = 20
19 + 5x - 4/x = 20
5x - 4/x = 1
Multiplying all through by x
5x^2 - 4 = x
5x^2 - x - 4 = 0
(5x + 4)(x - 1) = 0
x = 1 or -4/5
-4/5 is unrealistic hence the correct value is;
x = $1
He bought 20 balls; 20 / x = 20 / 1 = 20
The reduction in the price of each ball increases the number of balls the man can buy at RM 20.
The number of balls he bought is 20 balls.
Reasons:
The given parameters are;
The amount the man bought the golf balls = RM 20
The number of golf balls he could have bought if each ball costs 20 cents less = 5 more balls
Let the number of balls the man bought = x
Let the price of each ball be m
We have;
m × x = 20
(x + 5)·(m - 0.20) = 20
Therefore, we get;
[tex]m = \dfrac{20}{x}[/tex]
Which gives;
[tex]\left(x + 5 \right) \cdot \left(\dfrac{20}{x} - 0.20\right) = 20[/tex]
[tex]-\dfrac{\left(0.2 \cdot x^2- 19 \cdot x - 100\right)}{x} = 20[/tex]
20·x = -0.2·x² + 19·x + 100
0.2·x² + x - 100 = 0
x² + 5·x - 500 = 0
(x + 25)·(x - 20)
x = 20
The number of balls he bought, x = 20 balls
Learn more here:
https://brainly.com/question/6597326
Use the distributive property to find two expressions that are equivalent to 73x = 4).
Answer:
this is the answer to your question x=73/4; 4/73=1/x
Hep me please this is to much
Answer:
its B
Step-by-step explanation:
hope it helps
Answer:
B. 6 x 0.8
Step-by-step explanation:
It depends on the placement of the decimal point. All of the answers have 6 x 8. It's just that the decimal points are in different places each time.
For example, option A, is 6 x 8, which is 48. 48 is not equal to 4.8.
Option B, however, has 6 x 0.8. 6 x 8 = 48, and divided by 10 is 4.8. 4.8 = 4.8. This means Option B is correct.
Hope this helps :)
Which describes the relationship between 1 and 22?
2
O 21 and 2 are complementary angles.
O 1 and 2 are equivalent angles.
O 1 and 2 are adjacent angles.
1 and 2 are supplementary angles.
Answer:
3rd circule
Step-by-step explanation:
sonic or Kirby, who is better?
Answer:
Personaly i would say kirby. but zelda is better than any other game series
Step-by-step explanation:
My Answer: B O T H .
Reason:
They're both my childhood
2/5 help me pls hiougfyxydtr6gdxfg
Answer:
0.4
Step-by-step explanation:
Divide 2 by 5 you'll get 0.4
Plzz help me plz! I am very bad at math!
Answer:
D. 4 3/4
Step-by-step explanation:
1+3=4
2/4 + 1/4 = 3/4
hope it helps:)
simplify -20y+30/ -2y+6
Answer:
− 3 5 + 6
Step-by-step explanation:
p.s. give me crown please
Consider the following information about travelers on vacation: 40% check work email, 30% use a cell phone to stay connected to work, 35% bring a laptop with them, 16% both check work email and use a cell phone to stay connected, and 42.8% neither check work email nor use a cell phone to stay connected nor bring a laptop. In addition, 88 out of every 100 who bring a laptop also check work email, and 70 out of every 100 who use a cell phone to stay connected also bring a laptop.
a. What is the probability that a randomly selected traveler who checks work email also uses a cell phone to stay connected?
b. What is the probability that someone who brings a laptop on vacation also uses a cell phone to stay connected?
c. If the randomly selected traveler checked work email and brought a laptop, what is the probability that he/she uses a cell phone to stay connected?
Answer:
a. 0.4
b. 0.6
c. 0.6493
Step-by-step explanation:
p(checking work email) = p(A) = 0.40
p(staying connected with cell phone) = p(B) = 0.30
p(having laptop) = p(c) = 0.35
p(checking work mail and staying connected with cell phone) = p(AnB) = 0.16
p(neither A,B or C) = p(AuBuC)
= 1-42.8%
= 0.572
p(A|C) = 88% = 0.88
p(C|B) = 70% = 0.7
a. What is the probability that a randomly selected traveler who checks work email also uses a cell phone to stay connected?
p(B|A) = p(AnB)/p(A)
= 0.16/0.4
= 0.4
b. What is the probability that someone who brings a laptop on vacation also uses a cell phone to stay connected?
p(B|C) = P(C|B)p(B)/p(C)
= 0.7x0.3/0.35
= 0.6
c. If the randomly selected traveler checked work email and brought a laptop, what is the probability that he/she uses a cell phone to stay connected?
p(A|BnC)
= P(BnAnC)/p(AnC)
= p(AnC) = p(A|C).p(C)
= 0.88x0.35
= 0.308
p(AnBnC) = p(AuBuC)-p(a)-p(b)+ p(AnB)+p(AnC)+p(BnC)
p(BnC) = 0.7x0.3
= 0.21
p(AnBnC) = 0.572-0.4-0.3-0.35+0.16+0.308+0.21
= 0.2
p(A|BnC) = 0.2/0.308
= 0.6493
Answer:
which ever one you want its an opinion answer.
Step-by-step explanation:
Help help help help help
The school flagpole is 28 feet tall. How many yards is that?
Answer: the answer is 9.33---
whats 2 plus 2?////////////////////////////////////////////////
Answer:
4
Step-by-step explanation:
its like you have 2 fishes and you get two more
Answer:
4
Step-by-step explanation:
When you have two question marks and add two more you have four
????
1234
After the Sutton family finished their meal at a local restaurant, the waiter brought them a check for $48.86. If Mrs. Sutton leaves a 20% tip, what amount of tip wages will the waiter receive?
What will the total meal cost?
How much should you tip a hairstylist, pizza delivery person, and taxi driver?
Answer:
58.23
Step-by-step explanation:
The amount of tip wages will the waiter receive will be $9.77. Then the total meal cost will be $58.63.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.
After the Sutton family finished their meal at a local restaurant, the waiter brought them a check for $48.86. If Mrs. Sutton leaves a 20% tip. Then the amount of the tip will be
Tip = 20% of $48.86
Tip = 0.20 x $48.86
Tip = $9.772
Then the total meal cost will be
Total cost = $48.86 + $9.772
Total cost = $58.63
The amount of tip wages will the waiter receive will be $9.77. Then the total meal cost will be $58.63.
More about the percentage link is given below.
https://brainly.com/question/8011401
#SPJ2
Give 3 values for x that make the inequality true. x < 3
Answer:
2, 1, 0
Step-by-step explanation:
they are less than 3 (Please mark brainliest)
Heidi is building a stone path in her garden. It needs to be 8 feet to 8 1/2 feet long. Drag stones into the box
Answer:
where are the stones
Step-by-step explanation:
Answer:
you have to figure out how big the stones are and add to the box accordingly
Step-by-step explanation:
Tropical Storm Enteng travels 600 miles while Tropical Depression
Gener travels 520 miles at the same time. Find the rate of each if
Enteng’s average rate is 15mph faster than Gener’s.
Solve with distance, rate & time table formula
Answer:
hurricane basics
Step-by-step explanation:
A "hurricane" is the most severe category of the meteorological phenomenon known as the "tropical cyclone."
Tropical cyclones are low pressure systems that have thunderstorm activity and rotate counterclockwise. A tropical
cyclone that has winds of 38 mph (33 kt) or less is called a tropical depression. When the tropical cyclone's winds reach
39-73 mph (34-63 kt), it is called a tropical storm. When the winds exceed 74 mph (64 kt), the storm is considered
to be a hurricane.
The Saffir-Simpson Hurricane Scale defines hurricane strength by categories. A Category 1 storm is the weakest hurricane
(winds 74-95 mph or 64-82 kt); a Category 5 hurricane is the strongest (winds greater than 155 mph or 135 kt).
The category of the storm does not necessarily relate directly to the damage it will inflict. Lower category storms (and
even tropical storms) can cause substantial damage depending on what other weather features they interact with, where
they strike, and how slow they move.
Anatomy of a Hurricane
Typical hurricanes are about 300 miles wide although they can vary considerably in size.
The eye at a hurricane's center is a relatively calm, clear area approximately 20-40 miles across.
The eyewall surrounding the eye is composed of dense clouds that contain the highest winds in the storm.
The storm's outer rainbands (often with hurricane or tropical storm-force winds) are made up of dense bands of
thunderstorms ranging from a few miles to tens of miles wide and 50 to 300 miles long.
Hurricane-force winds can extend outward to about 25 miles in a small hurricane and to more than 150 miles for a large
one. Tropical storm-force winds can stretch out as far as 300 miles from the center of a large hurricane.
Frequently, the right side of a hurricane is the most dangerous in terms of storm surge, winds, and tornadoes.
A hurricane's speed and path depend on complex ocean and atmospheric interactions, including the presence or absence
of other weather patterns. This complexity of the flow makes it very difficult to predict the speed and direction of a hurricane.
Do not focus on the eye or the track–hurricanes are immense systems that can move in complex patterns that are difficult
to predict. Be prepared for changes in size, intensity, speed, and direction.
Hurricane Basics
Answer:
Answer:
hurricane basics
Step-by-step explanation:
A "hurricane" is the most severe category of the meteorological phenomenon known as the "tropical cyclone."
Tropical cyclones are low pressure systems that have thunderstorm activity and rotate counterclockwise. A tropical
cyclone that has winds of 38 mph (33 kt) or less is called a tropical depression. When the tropical cyclone's winds reach
39-73 mph (34-63 kt), it is called a tropical storm. When the winds exceed 74 mph (64 kt), the storm is considered
to be a hurricane.
The Saffir-Simpson Hurricane Scale defines hurricane strength by categories. A Category 1 storm is the weakest hurricane
(winds 74-95 mph or 64-82 kt); a Category 5 hurricane is the strongest (winds greater than 155 mph or 135 kt).
The category of the storm does not necessarily relate directly to the damage it will inflict. Lower category storms (and
even tropical storms) can cause substantial damage depending on what other weather features they interact with, where
they strike, and how slow they move.
Anatomy of a Hurricane
Typical hurricanes are about 300 miles wide although they can vary considerably in size.
The eye at a hurricane's center is a relatively calm, clear area approximately 20-40 miles across.
The eyewall surrounding the eye is composed of dense clouds that contain the highest winds in the storm.
The storm's outer rainbands (often with hurricane or tropical storm-force winds) are made up of dense bands of
thunderstorms ranging from a few miles to tens of miles wide and 50 to 300 miles long.
Hurricane-force winds can extend outward to about 25 miles in a small hurricane and to more than 150 miles for a large
one. Tropical storm-force winds can stretch out as far as 300 miles from the center of a large hurricane.
Frequently, the right side of a hurricane is the most dangerous in terms of storm surge, winds, and tornadoes.
A hurricane's speed and path depend on complex ocean and atmospheric interactions, including the presence or absence
of other weather patterns. This complexity of the flow makes it very difficult to predict the speed and direction of a hurricane.
Do not focus on the eye or the track–hurricanes are immense systems that can move in complex patterns that are difficult
to predict. Be prepared for changes in size, intensity, speed, and direction.
Hurricane Basics
Step-by-step explanation:
Factor Completely::::
Answer:
x^2(x-9)(x+3) lmk if u need steps
Answer:
x^2 (x+3) (x-9)
Step-by-step explanation:
...............
Date:
.
'. Due to coxid-19 pandimec, the Jacinto
Family donated 180 pos Face Shield
and the aguinaldo family also don
213 pcs of pace shield to the front
liner, If a face shield cost 8m pesos
How much
the total cost of
donation.
tone soola
Answer:
It's 3,114: )
Step-by-step explanation:
Because if you multiply the 8m to 180 it will remain to 1,440 plus additional 1,704 so it will be 3,114, the main answer
What is the formula for 3cm, 5cm, and 4cm (3cm being the height and the 4 the base) and its a right triangle
Answer:
No se perdon nesesito puntos
What type of rock do we have in Florida naturally. If it is not this kind of rock someone has brought it here. Group of answer choices A. igneous Rock B. Metamorphic rock C. Spanish Rock D. Sedimentary Rock
(i know its not math but still)
Answer:
D. Sedimentary Rock
Explanation:
Limestone, various kinds
Hope that helps
Point A is at (-2, 4) and point B is at (7,3).
What is the midpoint of line segment AB?
Answer:
(2.5,3.5)
Step-by-step explanation:
Omni calculator
Answer:
(2.5, 3.5)
Step-by-step explanation:
Which is equivalent to
4(x + 5)
4x + 9
4x + 20
4x + 5
PLEASE HELP
If x = 3x + 4 - 1 , then what does -x equal?
Answer:
-4/5 = x
Step-by-step explanation:
Answer:
3/2
Step-by-step explanation:
x = 3x + 4 - 1
we can subtract 1 from 4
x = 3x + 3
subtract 3x from both sides
-2x = 3
divide both sides by -2
x = -3/2
so -x would equal -(-3/2) = 3/2
Write an equation in slope-intercept form for the line that passes through
(–1, –2) and (3, 4).
Peter's family traveled 5/8 of the distance to his grandmother’s house on Saturday. They traveled 2/3
of the remaining distance on Sunday. What fraction of the total distance to his grandmother’s house was traveled on Sunday?
In Ms. Perron’s class, 60% of the students are boys. There are 26 students in the class. What is the total number of boys in Ms. Perron’s class?
Help :'/
Answer:
Let the no. of students be X.
Boys = 60% of X .
So Boys = (60/100)*X.
So left 40% of students are girls and it is given they are 14.
So total students X= total boys + total girls.
X = (60/100)*X+14.
(40/100)*X = 14.
X = (14*100)/40.
X = 35.
X - (60/100)*X = 14.
Step-by-step explanation:
Sara ordered 2 slices of pizza and a 12-ounce cola and paid
$3.00. Sydney ordered 3 slices of pizza and 2 12-ounce
colas for $4.75. How much does a slice of pizza cost?
Answer: a slice of pizza cost $1.25 and a 12-ounce cola cost $0.50.
Step-by-step explanation:
Let slice of pizza cost x and a 12-ounce cola cost y.
Then Sara's order cost: 2x+y=3
and Sydney's order cost: 3x+2y=4.75
From the first equation we have: y=3-2x and put this to the second equation:
3x+2(3-2x)=4.75
3x+6-4x=4.75
x=1.25
y=3-1.25*2=0.50
Answer: a slice of pizza cost $1.25 and a 12-ounce cola cost $0.50.
Find whether the pair of linear equations y = 0 and y = -5 has no solution, unique solution
or infinitely many solutions
Answer:
infinitely many solutions
Answer:
NO SOLUTION
Step-by-step explanation:
PLZ HELP ME WITH THIS NEED THE ANSWER NOW PLSSSSSSSSS THIS IS 7TH GRADE AMTH
Answer:
Just by the looks at it P has the greater slope I think but graph it to make sure cause I might be wrong.
Answer:
Function 2
Step-by-step explanation: