A machine paints 360 toy boats in 45 minutes. What is the unit rate per hour?
Answers
Answer:
480 toy boats in one hour
Step-by-step explanation:
Related Questions
Clare says’ this classroom is 11 m long in metres longer than a year so if I measure the length of the classroom I will get less than 11 yards .do u agree with Clare
Answers
Answer:
No I don't agree with Clare.
You will get more than 11 yards
Step-by-step explanation:
A woman deposits 100 EUR in her daughter's bank account on her first birthday. On every subsequent birthday, she deposits 10 EUR more than she deposited the previous year, so on her second birthday, she deposits 110 EUR, and on her third birthday she deposits 120 EUR.
By the time her daughter is 21 years old, how much money has been deposited in her account?
Answers
Answer:
By the time her daughter is 21 years old 300 EUR will have been deposited into the account.
Step-by-step explanation:
Since a woman deposits 100 EUR in her daughter's bank account on her first birthday, and on every subsequent birthday, she deposits 10 EUR more than she deposited the previous year, so on her second birthday, she deposits 110 EUR, and on her third birthday she deposits 120 EUR, to determine, by the time her daughter is 21 years old, how much money has been deposited in her account, the following calculation must be performed:
100 + (20 x 10) = X
100 + 200 = X
300 = X
Therefore, by the time her daughter is 21 years old 300 EUR will have been deposited into the account.
Hannah ran 2. 5km from maiden castle, to claypath, and 3. 5km from claypath to the top of potters bank. Her average speed to claypath was 10km/hr. It took her 42 minutes to get from calypath to potters bank. What was her average speed for the whole run?
Answers
Her average speed for the whole run with the given distance and time is 6.31 m/s.
What is average speed?The overall distance the object covers in a given amount of time is its average speed. A scalar value represents the average speed. It has no direction and is indicated by the magnitude. Calculating the ratio of the body's total distance travelled to the time needed to complete that distance yields the average speed formula.
Given that, Hannah ran 2. 5km from maiden castle to clay path, and 3. 5km from clay path to the top of potter's bank.
And,
Her average speed to clay path was 10km/hr.
The time is given by the following formula:
Time = Distance / Speed
The time taken to reach clay path is:
T1 = 2.5 / 10 = 0.25 hours
The time taken to potter bank is 42 minutes = 0.7hours.
The average speed is given by the formula:
S avg = Total distance travelled / Total time
S avg = (2.5 + 3.5) / (0.25 + 0.7)
S avg = 6/ 0.95
S avg = 6.31 m/s
Hence, her average speed for the whole run with the given distance and time is 6.31 m/s.
Learn more about speed here:
https://brainly.com/question/9834403
#SPJ1
Please Help, Please hurry
Answers
The solution to the expression after the sequence of operations is -3.
How to evaluate and solve the given expression?In order to evaluate and solve this expression, we would have to apply the PEMDAS rule, where mathematical operations within the parenthesis (grouping symbols) are first of all evaluated, followed by exponent, and then multiplication or division from the left side of the equation to the right.
Lastly, the mathematical operations of addition or subtraction would be performed from left to right.
Based on the information provided, we have the following mathematical expression:
Expression: 8 + 3 - 7 · 18/6
Expression: 8 + 3 - 7 · 2 (division)
Expression: 8 + 3 - 14 (multiplication)
Expression: 11 - 14 (addition)
Expression: -3 (subtraction)
Read more on expression here: brainly.com/question/16729936
#SPJ1
987 x 64 show your work
Answers
Answer:
Bro ans 63168
Step-by-step explanation:
987×64=63168
Answer:
63,168
Step-by-step explanation:
write a polynomial for the volume of a cube with a side length of (x-1) inches.
Answers
Answer:
\(x^3-3x^2+3x-1\)
Step-by-step explanation:
the volume of a cube is the side length cubed, which in this case is \((x-1)^3\), which simplifies to \(\boxed{x^3-3x^2+3x-1}\).
What’s the answer to this?
Answers
The rule, P(A and B) = P(A) · P(B) can be used to determine the probability that A and B occurs when events A and B are
independent.
dependent.
equal.
complementary.
answer is a
Answers
When events A and B are independent.
Completing the probability statementFrom the question, we have the following parameters that can be used in our computation:
P(A and B) = P(A) · P(B)
The above rule is used when the events A and B are independent events
This means that
The occurrence of the event A does not influence the occurrence of the event B and vice versa
Using the above as a guide, we have the following:
The correct option is (a)
Read more about probability at
https://brainly.com/question/251701
#SPJ1
An Ice Cream Factory makes 3:1 tubs of ice cream to boxes of ice cream bars. If the factory makes 165 tubs of ice cream in a day, how many boxes of ice cream bars were made?
Answers
Answer:
55 boxes of ice cream
Step-by-step explanation:
Tubs of ice cream : boxes of ice cream = 3 : 1
If the factory makes 165 tubs of ice cream in a day, how many boxes of ice cream bars were made?
Boxes of ice cream made in a day = x
Tubs of ice cream : boxes of ice cream = 165 : x
Equate both ratios to find x
3 : 1 = 165 : x
3/1 = 165/x
Cross product
3 * x = 1 * 165
3x = 165
x = 165/3
x = 55
Boxes of ice cream made in a day = 55
PLZZZZ HELP
A. 178.3
B. 196.5
C. 250.8
D. 292.5
E. 297. 1
Answers
Answer:
E, 297.1
Step-by-step explanation:
First, find the area of the triangle using the formula a= (bh) / 2
Base x height would be 16 x 12, which is 192
192 / 2 is 96 sq meters
Then, find the area of the circle using the formula a= Pi (r^2)
If the diameter is 16, the radius would be 8 because you divide by 2
8^2 is 64, 64 times Pi is approximately 201.1
Finally, add the areas together, 96 + 201.1 is 297.1 or E
An amusement park rounds its total attendance for last year to 120,000 people.
Which could have been the attendance at the amusement park if it was rounded to the nearest ten thousand?
Choose 1 answer:
A
126,458
B
116,390
(Choice C)
125,007
Answers
Answer:
B
Step-by-step explanation:
B Rounded to nearest ten thousand
The attendance that aligns with rounding to 120,000 is B) 116,390.
To determine the possible attendance at the amusement park if it was rounded to the nearest ten thousand, we need to consider the rounding process.
When rounding to the nearest ten thousand, we look at the digit in the ten thousand place. If this digit is 5 or greater, we round up to the next ten thousand. If it is less than 5, we round down to the previous ten thousand.
In this case, the attendance was rounded to 120,000. To round to the nearest ten thousand, we look at the digit in the ten thousand place, which is 2. Since 2 is less than 5, we round down.
Therefore, the attendance at the amusement park could have been rounded to 120,000 people if it was rounded to the nearest ten thousand.
Among the given options, the attendance that aligns with rounding to 120,000 is B) 116,390.
Learn more about rounding;
https://brainly.com/question/24234983
#SPJ3
3) Sue bought a triangular shaped piece of wood
with a height is 6 inches and a base of 2 inches.
She plans to cover the front with a piece of
fabric, how much fabric will she need?
Answers
Answer:
12 inches of fabric
Step-by-step explanation:
Area of a triangle = hight x base
so 6 x 2 = 12
12 inches of fabric is your answer
Hope this helps :)
If she plans to cover the front with a piece of fabric. Then the amount of fabric that she needs will be 6 square inches.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
Sue bought a triangular-shaped piece of wood with a height is 6 inches and a base of 2 inches.
She plans to cover the front with a piece of fabric.
Then the amount of fabric that she needs will be
The amount of fabric is given by the area of the triangle.
The area of the triangle will be
Area = 1/2 x 2 x 6
Area = 6 square inches
More about the triangle link is given below.
https://brainly.com/question/25813512
#SPJ2
Someone HELP!!!!!!!!!!!
Answers
Answer:
I got x= 3
\(m < DBE = 64\\m < CBE =26\)
Step-by-step explanation:
since x= 3,
I put 3 in the equations,
first equation,
17x + 13
17*3 + 13
=64
second equation,
32-2x
32 - 2*3
=26
the weight, in pounds, of a certain type of adult squirrel is normally distributed with a mean of 4.1 pounds and a standard deviation of 0.5 pounds. what is the probability that a randomly selected squirrel has a weight less than 3 pounds? round your answer to four decimal places.
Answers
The probability that a randomly selected squirrel has a weight less than 3 pounds: P(x < 3) = 0.0139
What is Probability?
Chance is a branch of mathematics that deals with numerical representations of the probability that an event will happen or that a statement is true. The probability of an event is a number between 0 and 1, where, broadly speaking, 0 signifies the event's impossibility and 1 denotes certainty.
Given,
μ = 4.1
σ = 0.5
∴ P(x < 3) = P(z < (3 - μ) / σ)
= P(z < (3 - 4.1) / 0.5)
= P(z < -1.1/0.5)
P(x < 3) = P(z < -2.2)
P(x < 3) = 0.0139
As a result, P(x 3) = 0.0139 is the probability that a squirrel chosen at random weighs less than 3 pounds.
To learn more about Probability click on the link
https://brainly.com/question/24756209
#SPJ4
A spherical balloon is being inflated at a constant rate. If the volume of the balloon changes from 288π in3 to 972π in3 between time t = 45 and t = 60 seconds, find the net change in the radius (in inches) of the balloon during that time.
Answers
Let's assume that r is the radius of the balloon. The volume of a sphere of radius r is given by the formula:\(V = (4/3)πr³\)Given that the volume of the spherical balloon is changing at a constant rate.
Therefore we can express the volume as a function of time.\(V(t) = (4/3)πr(t)³\)Then we can use the chain rule of differentiation to find an expression for the rate of change of the radius of the balloon with respect to time.\(dr/dt = (dV/dt) / [(4π/3) r²]\)Now, let's plug in the values given in the problem.
The initial volume of the\(balloon = 288π in³\)The final volume of the\(balloon = 972π in³\)The initial time \(t1 = 45\)secondsThe final time\(t2 = 60\) seconds\(dr/dt = (dV/dt) / [(4π/3) r²] = (18π) / [(4/3)π (r³)²] = (27 / 2r²)Therefore:Δr = dr/dt × Δt = (27 / 2r²) × (60 - 45) = 20.25 / r²\) inchesSo, the net change in the radius of the balloon during the time interval from\(t = 45 to t = 60 seconds is 20.25 / r²\) inches.
To know more about radius visit:
https://brainly.com/question/25324584
#SPJ11
a. Find the radius and height of a cylindrical soda can with a volume of 412 cm^3 that minimize the surface area.
b. Compare your answer in part (a) to a real soda can, which has a volume of 412 cm^3, a radius of 3.1 cm, and a height of 14.0 cm, to conclude that real soda cans do not seem to have an optimal design. Then use the fact that real soda cans have a double thickness in their top and bottom surfaces to find the radius and height that minimizes the surface area of a real can (the surface areas of the top and bottom are now twice their values in part(a)). Are these dimensions closer to the dimensions of a real sodacan?
Answers
The radius and height of a cylindrical soda with a volume of 412cm³ that minimize the surface area is 4.03cm and 8.064 cm respectively.
a)To find the radius and height of a cylindrical soda can with a volume of 412 cm³ that minimize the surface area, follow these steps:
The formula for the volume of a cylinder is V = πr²h, where V is the volume, r is the radius and h is the height. Rearranging the formula, we get h = V/πr². Substitute this equation in the surface area formula, we get A = 2πrh + 2πr² = 2πr(412/πr²) + 2πr² ⇒A = 824/r + 2πr².Differentiating the equation to obtain the critical points, we get A' = -814/r² + 4πr= 0 ⇒ 4πr= 824/r² ⇒ r³= 824/4π ⇒r= 4.03cm. So, the height will be h = V/πr²= (412)/(π × (4.03)²)≈ 8.064 cmb)To compare your answer in part (a) to a real soda can, which has a volume of 412 cm³, a radius of 3.1 cm, and a height of 14.0 cm, to conclude that real soda cans do not seem to have an optimal design, follow these steps:
In part (a), the optimal radius is r = 4.03cm and height is h ≈ 8.06 cm. While the real soda can has a radius of 3.1 cm and height of 14 cm. The can's radius and height are much smaller than those calculated in part (a), which shows that real soda cans are not optimally designed due to material, economic, and other constraints. Real soda cans have double thickness on their top and bottom surfaces to improve their strength. To find the radius and height of a real soda can with double thickness on the top and bottom surfaces, double the surface areas of the top and bottom in part (a) to 4πr² and substitute into the surface area formula A = 2πrh + 4πr². This yields A = 2V/r + 4πr². Differentiating to obtain the critical points, A' = -2V/r² + 8πr= 0. Solving for r we get r³ = V/4π = ∛(412/4π)≈ 3.2cm. So, the height is h = V/πr²= (412)/(π × (3.2)²)≈ 12.8 cm. These dimensions are closer to the dimensions of a real soda can since the radius and height are smaller, reflecting the effect of double thickness on the top and bottom surfaces. The increase in height helps reduce the surface area despite the increase in the radius. Therefore, the dimensions obtained in part (b) are closer to those of a real soda can.Learn more about surface area:
brainly.com/question/26403859
#SPJ11
Find the mean of these numbers:
2,6,9,56,63,68
Answers
Explanation:
First we add up those numbers
2+6+9+56+63+68 = 204
Then divide by 6 because there are 6 values in this list.
204/6 = 34
Answer:34
Step-by-step explanation:It's obtained by simply dividing the sum of all values in a data set by the number of values.
Please help! Will mark brainliest!
The graphs of two absolute functions,f(x) and g(x) are shown in the coordinate plane below.
the options are f(x + -8) f(x + 8) f(x + -6) or f(x + 6).
and then the other part of the equation has the options of -8, 8, -6 or 6.
Answers
Answer: f( x + -8)+6
Step-by-step explanation: f (x – number) shifts the function b units to the right so we need negative 8 to move to the right and positive 6 to go six up
Question 11 options:
A cone with volume 448 m³ is dilated by a scale factor of 1/4.
The volume of the resulting cone is ___ cubic meters.
Answers
Answer:
112
Step-by-step explanation:
The volume is 448 \(cm^{3}\)
You are asked to dilate it to a scale factor of 1/4
All you are doing is multiplying: 448/1 × 1/4
This is for algebra 1
Answers
A bottle of wine known as a magnum contains a volume of 1. 5 liters. a bottle known as a jeroboam contains 0. 792 u. s. gallons. how many magnums are there in 5 jeroboams?
Answers
Various references such as the front of a textbook provide the following volume conversions:
= −
And
. . = . − = .
= = . ( . . / . ) ( / . . .)
= .
Therefore,
= / . =
The first large bottle size of Magnum Champagne was called the Magnum and was 150 cl (1.5 liters). Magnum champagne is equivalent to two standard bottles.
A common bottle size for most wines sold. 1.5L Magnum: Equivalent to two standard 750ml bottles. 3.0L Double Magnum: Equivalent to 2 magnums or 4 standard 750ml bottles. 4.5L Rehobeam: Champagne bottle with 6 standard 750ml bottles.
Learn more about Magnum here https://brainly.com/question/9803103
#SPJ4
Which of the following formulas which of the following formulas defines an arithmetic sequence?
a) tn = 5 + 14
b) tn= 5n² + 14
c) tn= 5n(n+14)
d) tn= 5n + 14
Answers
The correct formula that defines an arithmetic sequence is option d) tn = 5n + 14.
An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms remains constant. In other words, each term can be obtained by adding a fixed value (the common difference) to the previous term.
In option a) tn = 5 + 14, the term does not depend on the value of n and does not exhibit a constant difference between terms. Therefore, it does not represent an arithmetic sequence.
Option b) tn = 5n² + 14 represents a quadratic sequence, where the difference between consecutive terms increases with each term. It does not represent an arithmetic sequence.
Option c) tn = 5n(n+14) represents a sequence with a varying difference, as it depends on the value of n. It does not represent an arithmetic sequence.
Option d) tn = 5n + 14 represents an arithmetic sequence, where each term is obtained by adding a constant value of 5 to the previous term. The common difference between consecutive terms is 5, making it the correct formula for an arithmetic sequence.
To more on Progression:
https://brainly.com/question/30442577
#SPJ8
Divide: 1,485 ÷ 0.09
Answers
Answer: 16,500
Step-by-step explanation:
When will The Ghost of Christmas present cease to exist?
Answers
Answer:
never ever not in a million years
Step-by-step explanation:
Does the following picture represent a linear function?
Answers
Answer:
yes because a Linear functions is a straight line
Step-by-step explanation:
what are the steps to solve 3x+1=4x-8
Answers
Answer:
x = 9
Step-by-step explanation:
3x+1=4x-8
-1 -1
3x=4x-9
-4x -4x
-x=-9
x=9
Jada volunteers at the animal shelter. She divided 5 cups of cat food equally to feed 20 cats. Each cat received x cups of food.
Answers
Answer:
.25 cup
Step-by-step explanation:
5 divided by 20 = .25
One sixth of a jar of sweets contains 11 sweets. How many sweets does the jar contain when its full?
pls someone answer
Answers
Answer:
66 sweets
Step-by-step explanation:
all you need to do is multiply 11 by 6 to get your answer seeing that ⅙ of the jar is 11
Madison is thinking of a number.She states that the sum of her number , n,and 2/7,is equal to 3/4. write an equation that represents the situation
Answers
Answer:
Step-by-step explanation:
If it has really helped u plz don't forget to thank me plz...
Solve the equation |4m| − 5 = 11.
Answers
Answer:
Please refer to the attachment
