Answers
Answer:
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Step-by-step explanation:
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Related Questions
6. Challenge Problem: One owl hoots every 3 hours, a second owl hoots every 8 hours, and
a third owl hoots every 12 hours. If they all hoot together at the start, how many times
during the next 80 hours will just two of the owls hoot together?
Answers
Answer:
9 times
Step-by-step explanation:
The least common multiple (henceforth written as LCM) of 3 and 8 is 24. Therefore, these 2 owls hoot 72/24 = 3 times. The LCM of 3 and 12 is 12. These 2 owls hoot 72/12 = 6 times. The LCM of 8 and 12 is 24. These 2 owls hoot 72/24 = 3 times. Altogether, these owls hoot the LCM of 3, 8, AND 12, or 72/24 = 3 times. 3+3+6-3 = 9 times.
If they all hoot together at the start, 9 times during the next 80 hours will just two of the owls hoot together.
What is number theory?Number theory is the study of integers and functions of arithmetic.
One owl hoots every 3 hours.
Second owl hoots every 8 hours.
Third owl hoots every 12 hours.
If they all hoot together at the start, how many times during the next 80 hours will just two of the owls hoot together
Number theory indicates that the multiples of the periods of hooting are;
The multiples of 3 are; 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63, 66, 69, 72,75, 78, 81, 82
The multiples of 8 are; 8, 16, 24, 32, 40, 48, 56, 64, 72, 80
The multiples of 12 are; 12, 24, 36, 48, 60, 72,
The least common multiple of 3 and 8 is 24, these 2 owls hoot 72/24 = 3 times.
The LCM of 3 and 12 is 12, these 2 owls hoot 72/12 = 6 times.
The LCM of 8 and 12 is 24, these 2 owls hoot 72/24 = 3 times.
Altogether, these owls hoot the LCM of 3, 8, AND 12, or 72/24 = 3 times. 3+3+6-3 = 9 times.
Therefore, 9 times during the next 80 hours will just two of the owls hoot together.
Learn more on L.C.M. here:
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How are x and y intercepts alike and different?
Answers
Answer:
x and y intercepts are alike because they both cross each other, they are different because the Y axis is vertical while the X axis is horizontal.
The similarities between [x] - intercept and [y] - intercept is discussed below.
What is the general equation of a Straight line?
The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation of a straight line can be also written as -
Ax + By + C = 0
By = - Ax - C
y = (- A/B)x - (C/A)
We have [x] and [y] intercepts of a straight line.
The [y] - intercept is the line where the line cuts the [y] - axis whereas [x] - intercept is the line where the line cuts the [x] - axis.[y] - intercept has coordinates (0, y) and [x] - intercept has coordinates (x, 0).We can calculate the slope of the line using the [y] - intercept and the [x] - intercept as -m = (0 - y)/(x - 0)
m = - y/x
Therefore, the similarities between [x] - intercept and [y] - intercept is discussed above.
To solve more questions on straight lines, visit the link below-
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How many millimetres are there in 405
cm
Answers
Answer: 4050 millimeters
:)
Answer:
4050
Step-by-step explanation:
Length
405
Centimeter
=
4050
Millimeter
Formula
multiply the length value by 10
2. In AGHK, GH = 11, HK = 21, and GK = 15. To the nearest tenth, what is m
Answers
Answer:
ok here is the answer
Step-by-step explanation:
how about you stop cheating and do it by your self
Overnight, the temperature in Chicago was just – 7°F. But by the afternoon, the temperature had risen 9°F. What was the temperature in Chicago that afternoon?
Answers
Answer:
2°F is the answer
What are the three ways we can write ratios
Answers
Answer:
Step-by-step explanation:
The most common way to write a ratio is as a fraction, 3/6. We could also write it using the word "to," as "3 to 6." Finally, we could write this ratio using a colon between the two numbers, 3:6. Be sure you understand that these are all ways to write the same number.
Three ways to write Ratios are : in form of fraction, in form of decimals. Consecutively, they can also be written in form of percentage.
Ratio is an ordered pair of numbers a & b , a : b , where b ≠ 0. It can be written in above mentioned 3 other forms
Considering example is 4 : 8
It can be represented in form of fraction 4 / 8 , that can further be reduced to 1 / 2 It can also be written in form of decimal, 1 / 2 = 0.5 It can also be written in form of percentage, 4/8 = 1/2 = 0.5 = 50%To learn more, refer https://brainly.com/question/13419413?referrer=searchResults
Ed is on a road trip. He has already traveled 211 miles and is driving at a rate of 63 miles per hour. Which equation could be used to find how many hours, x, Ed has left in his road trip if he is traveling 638 total miles? A. 211x + 638 = 63 B. 211x + 63 = 638 C. 63x + 211 = 638 D. 63x + 638 = 211
Answers
Answer:
Option C is correct.
Step-by-step explanation:
Distance already traveled by Ed [tex]=211[/tex] miles
Also, Ed is driving at a rate of 63 miles per hour.
Distance [tex]=[/tex] Speed × Time
Distance traveled by Ed in [tex]x[/tex] hours [tex]=63x[/tex]
Total distance traveled by Ed [tex]=211+63x[/tex]
Also, total distance traveled by Ed is [tex]638[/tex] miles.
Therefore,
[tex]638=211+63x[/tex]
Option C is correct.
if f (x) = 3x2 V8 + x2, what is f'(1)
Answers
Answer:
???????????????????????????????????????????????
Step-by-step explanation:
Alice is saving to buy a house and currently has $2,000 in her savings account. She's planning to contribute $150 to the account each month. Identify the function that describes the relationship between the number of months that pass (n) and the balance of her savings account, f(n).
Answers
Answer:
f(n)= 2,000+150n
Step-by-step explanation:
hope this helps.
Answer:
f(n) = 2,000 + 150(n − 1)
Step-by-step explanation:I took the test
A bed measures 57 inches by 76. What is the distance between opposite corners of the bed
Answers
Answer:
Step-by-step explanation:
Because bed is rectangular and diagonal is dividing it into two right angled Δs , we are using Pythagorean Theorem c² = a² + b²
c² = 57² + 76²
c² = 3249 + 5776 = 9025
c = 95 inches
The distance between opposite corners is: 95
Explanation:
Using the formula:
d=square root L^2+W^2
So, take the square root of 57^2+76^2
= 95
A market research analyst claims that 32% of the people who visit the mall actually make a purchase. You think that less than 32% buy something and decide to test the claim. You stand by the exit door of the mall starting at noon and ask 82 people as they are leaving whether they bought anything. You find that only 20 people made a purchase.
Required:
a. State the null and alternative hypotheses to test that less than 32% of man visitors make a purchase.
b. Find the value of the test statistics z.
c. The p-value of the test is about:______
Answers
Answer:
p=32 p<32
Step-by-step explanation:
A rectangular prism is 10 inches long, 5 inches wide, and 6 1/2 inches tall. What is the volume in cubic inches of the prism?
Answers
Answer:
325 cubic inches
Step-by-step explanation:
10*5=50
50*6.5=325
Hope that helped! Please don't hate me if I did something wrong!
A rabbit can run 35 mph a fox can run. 21 mph which animal is faster and by how much
Answers
35 is a higher number than 21, and to find the difference subtract 35 and 21.
Steph bought a used bicycle ,restored it and then marked it up by 1/4 of the price she paid. later, she sold it for the marked up price to $80 how much in dollars did steph pay for the bicycle?
Answers
Answer:
$ 64
Step-by-step explanation:
Let Steph paid $x to buy the used bicycle.
After restoring, she marked it up by 1/4 of the price she paid.
So, the marked price [tex]= x +\frac 1 4 x = \frac {5x}{4}[/tex]
As she sold the bicycle for the marked up price to $80.
So, [tex]\frac {5x}{4} = 80[/tex]
[tex]\Rightarrow x = \frac {80\times 4}{5}\\\\\Rightarrow x = 64.[/tex]
Hence, she paid $ 64 for the bicycle.
In a container of juice, 25% is real juice. The juice container is 32 oz. Choose the expression that completes each step involved in setting up and solving the proportion that represents the situation
Set up a proportion: ___=_____
Cross multiply: ___=____
Divide by the coefficient of x: x= _____
32/25, x/32, 32/100, 25/100, x/25, 32x, 25x, 100x, 8, 25, 32, 80, 800, 2500, 3200
Answers
Answer: 25/100
Step-by-step explanation:
it 25%
Solve for x. 4 In (4x) = 16
Answers
Answer:
x= 4
Step-by-step explanation:
4 x 4= 16
Answer:
Step-by-step explanation:
In 4x=26
4x=e^26
x= e^26/4
x=4.89×10^10
13
Luke is painting the ceiling. He needs to lay down drop cloths so he does not get paint
on the floor. Each drop cloth is 8 feet by 6 feet. The room is 14 feet by 16 feet. How
many drop cloths will he need to cover the floor?
Type your answer
SUBMIT
Answers
Answer:
5 Drop Cloths
Step-by-step explanation:1 - Find the areas of both the room and the drop cloth
Drop Cloth:
A = L x W
A = 8 x 16
A = 48
Room:
A = L x W
A = 14 x 16
A = 224
2 - Divide the area of the room by the area of 1 drop cloth
This is to see how many times the area of the drop cloth will go into the area of the room
Room Area/Drop Cloth Area =
224/48 = 4.66666666... = 5 drop cloths
Hope this helps :)
Your bucket of Halloween candy has 125 pieces of candy in it. You decide that to ration yourself, you're going to only eat 5 pieces per day.
Answers
There are 230 calories in 4 ounces. How many calories are in 6 ounces
Answers
Answer:
345 calories
Step-by-step explanation:
Divide 230 by 4
57.5
Multiply 57.5 by 6 ounces
The answer is 345 calories
Hope this helped :)
Answer:
345 calories
Step-by-step explanation:
Since you know there are 230 calories in 4 ounces you can divide the 230 calories by 4 to find out how many calories are in each ounce.
230/4= 57.5
Since there are 57.5 calories in each ounce, you can multiply this by 6 ounces to find how many calories are in 6 ounces
57.5 x 6 = 345
7. 21 is what percentage of 30? *
Answers
Answer:
70
Step-by-step explanation:
21/70 is .7 move to the right 2 times so 70%
Answer: 70
:D.............
a company lost $5,676 over a year. How much money did they lose each month if it was slit evenly
Answers
Answer:
I think the answer is 2,838
What is the constant of proportionality in the equation y=25X?
Answers
Answer:
Step-by-step explanation:
y = kx
If y = 25x , then k = 25
Evaluate 252.7 divided by 29
Answers
Answer:
13.30
Step-by-step explanation:
PLEASE HELP Look at each statement. Does the statement describe a transformation of the graph of f(x) = x that would result in the graph of g(x) = x + 2? Select Yes or No for each statement.
The parent function is reflected across the y-axis.
A Yes B No
The parent function is translated 2 units up.
A Yes B No
The parent function is translated 2 units down.
A Yes B No
Answers
Answer:
B,A,B
Step-by-step explanation:
A and B equal what?? Helpppp??
Answers
A is 155
B is 65
For a:
180-25 = 155
For b:
90-25 = 65
Answer:
a=155
b=65
Step-by-step explanation:
a
180-25
= 155
b
360-25-25-90-155
=65
Find the horizontal asymptote, if any, of the graph of the rational function. f(x)=16x5x2+7
Answers
I need help ASAP Due in a day marking brainliest!!!
Answers
Answer:
i ont hel.p.............................................. .
Step-by-step explanation:
Answer:
D) -3Step-by-step explanation:
Imagine a horizontal line that intersects the graph at 3 points
Looking at the graph, the line is possible in the interval from y = -2.5 to y = -4
D) -3 is the only option in the same intervalHow to simply a fraction
Answers
Answer:
In order to simplify a fraction there must be:
1. A number that will divide evenly into both the numerator and denominator so it can be reduced, or.
2. The numerator must be greater than the denominator, (an improper fraction), so it can be converted to a mixed number.
Answer:
To simply a fraction, you need to find the largest number that can go in to both the numerator and denominator. For example, 12/16, the largest number that can go into both it 4. Then divide the numerator and denominator by the large number which would be 3/4
Is distance a qualitative or quantitative?
Answers
And Quantitative are numbers are quantity like the name says.
So I would say that distance is quantitative.
I hope this helps :D
How much sales tax will Justin pay on a Computer priced at $1,723.42 if the sales tax rate is 9.25%?
Answers
Answer:
$1882.84
Step-by-step explanation:
Total cost = 109.25% = 109.25% x $1723.42 = $1882.84 (2dp)
Topic: Percentage
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