In one year, the Perseid meteor shower had a meteor appear every 1 1/5 minutes on average. That same year, the Leonid meteor shower had a meteor appear every 4 2/3 minutes on average. How many more meteors fell during the Perseid meteor shower?
Answer:
325,452 meteors
Step-by-step explanation:
We all know that :
We have 365 days in a year and in each day there are 24 hours, Likewise an hour has 60 minutes
SO, the total number of minutes in a year is :
365 × 24 × 60 = 525600 minutes
For Perseid meteor:
[tex]1 + \frac{1}{5} \\ \\ = 1 + 0.2 \\ \\ = 1.2[/tex]
So one meteor fall at 1.2 minutes interval Thus, in a year, we will have :
1 meteor - 1.2 minutes.
x meteor - 525600 minutes.
1.2x = 525600
[tex]x = \frac{525600}{1.2}[/tex]
x = 438000
∴ 438,000 meteors fell during the Perseid shower.
For Leonid meteor shower:
[tex]4 + \frac{2}{3} = 4.67[/tex]
So one meteor fall at 4.67 minutes interval Thus, in a year, we will have :
1 meteor - 4.67 minutes.
x meteors - 525600 minutes.
[tex]4.67x = 525600[/tex]
[tex]x = \frac{525600}{4.67}[/tex]
x = 112548
112,548 meteors fell during the Leonid Shower.
Finally , the numbers of more meteors that fell during the Perseid meteor shower is calculated by the difference in the number of Perseid meteor shower and Lenoid meteor shower. i.e
438,000 - 112,548 = 325,452
325,452 more meteors fell during the Perseid meteor shower
Answer:
For Leonid meteor shower: So one meteor fall at 4.67 minutes interval Thus, in a year, we will have : 1 meteor - 4.67 minutes. x meteors - 525600 minutes
Step-by-step explanation:
The distance around a circular dance hall room is 135 feet. What is the longest distance around the dance hall?
Answer: 43feet
Step-by-step explanation:
Perimeter= 135 feet
Since perimeter= 2πr
135 = 2πr
Recall that π = 3.14
135 = 2 × 3.14 × r
135 = 6.28 × r
135 = 6.28r
r = 135/6.28
r = 21.5
d = 2r
d = 2 × 21.5
d = 43 feet
Answer:
42.95 feet
Step-by-step explanation:
In this question, we are tasked with calculating the distance around the dance hall that is the greatest.
Now, to answer this, we must have at the back of our mind that the dance hall is circular in shape. Thus, the greatest distance that could arise is the distance from one edge of the dance hall to the other end of the dance passing exactly through the center of the dance hall.
This distance described above is the diameter of the dance hall.
Notice we were given a length in the question? This length refers to the circumference around the circular dance hall.
Reframing then question, we were just told to calculate the diameter of a circle given the circumference of the circle.
Mathematically, circumference C of a circle = 2 * pi * r
Recall, mathematically also 2r = D
so we can say C = pi * D
Using the value of 22/7 for pi and the value of the circumference in the question, we have;
135 = 22/7 * D
D = (7 * 135)/22
D = 42.95 feet
Math question please answer my question First one answered will be marked brainliest.
Answer:
7^12
Step-by-step explanation:
We know that a^b ÷ a^c = a^(b-c)
7 ^ 14÷ 7^2
7^ (14-2)
7^12
Answer:
7¹²
Step-by-step explanation:
7¹⁴ ÷ 7²
7^(14-2)
7¹²
y = 50 + 2x
y = 40 + 2x
Which statement about the pair of equations is true?
Answer:
what are the statements
How much juice is in the container?
A) 4 cups
OB) 1 pint
C) 1 quart
D) 2 gallons
the answer is B 2 cups in 1 pint
the surface areas of two cubes are in ratio 1:9. what is it the ratio of their volumes?
a) 1:3
b) 1:9
c) 1:27
d) 1:81
Answer:
c
Step-by-step explanation:
Identify the outlier or outliers in the data set: 3, 2, 2, 1, 2, 3, 6, 2, 1, 1, 3, 2, 2, 2, 1, 3
Answer:
the outlier would be 6
Step-by-step explanation:
6 is the number that stands out the most therefore it is an outlier!
:)
someone help me with this
Answer:
A -47
Step-by-step explanation:
(2-10)= -8*5= -40-7= -47
Answer:
-47.
Step-by-step explanation:
5(2-10)-7
--> 2-10= -8
5*-8-7
--> 5*-8= -40
--> -40-7 = -47
In Prodigy, Luigi's inventory weighs 3 grams. He is collecting old socks,
each sock weighs grams.
Let the total weight of his inventory be represented by i.
Let the number of old socks collected be represented by s.
An equation that represents this scenario is:
i = s +3
What is the total weight of his inventory if he collects 27 socks?
Answer as a decimal.
Final answer:
The total weight of Luigi's inventory if he collects 27 socks is 30 grams.
Explanation:
The equation i = s + 3 represents the scenario where Luigi's inventory weight is represented by i and the number of old socks collected is represented by s. According to the equation, the total weight of Luigi's inventory is equal to the number of socks collected plus 3 grams.
If Luigi collects 27 socks, we can substitute s with 27 in the equation to find the total weight of his inventory.
i = 27 + 3 = 30 grams.
Find the period of the graph shown below
A. 4π
B. π
C. 2π
D. 2/3π
Maria’s hair was 10 inches long, and then she cut ℎ inches
Answer:
please finish the question?
Step-by-step explanation:
Answer:
10-h
Step-by-step explanation:
i think ur teacher told u to write a equation out of it and if that is it then the equation is 10-h
A sector with an area of 48\pi cm^(2) has a radius of 16 cm. what is the central angle measure of the sector in radians
Answer:
The central angle is = 3/8 π
Step-by-step explanation:
To calculate the area of the sector, we will follow the steps below;
First write down the formula for calculating the area of a sector.
If angle Ф is measured in degree, then
area of sector = Ф/360 × πr²
but if angle Ф is measured in radians, then
area of sector = 1/2 × r² × Ф
In this case, since we are asked to find the central angle measure of the sector in radians, then we will use the second formula
area = 48π cm² and radius = 16 cm
area of sector = 1/2 × r² × Ф
48π = 1/2 × 16² × Ф
48π = 1/2 ×256 × Ф
48π = 128×Ф
Divide both-side of the equation by 128
[tex]\frac{48}{128}[/tex] π = Ф
Ф = [tex]\frac{48}{128}[/tex] π
The right-hand side can be reduced to its lowest term
Ф = 48 ÷ 16 / 128 ÷16 π
Ф = 3/8 π
6-2x+1x=-4x+18+1 x combine like terms
Answer:
x = 6
Step-by-step explanation:
first of all, you should know how to do this, this is the basic level of math that students learn in 4th grade.
first you combine like terms (terms that have the same variable)
6 - 2x + 1x = -4x + 18 + 1x
= 6 - 1x = -3x + 18
= 6 = -2x + 18
= -12 = -2x
= 6 = x
Marjorie has 36 boxes of video games to unpack and put on shelves.Each box contains 28 video games.How many video games in all need to be unpacked.
36 boxes
28 video games per box
That means, we have to multiply 36 by 28 to get the total number of video games.
36 x 28 = 1008
Therefore, 1,008 video games need to be unpacked.
Marjorie must unpack a total of 1008 video games, calculated by multiplying 36 boxes by 28 video games per box.
Marjorie has 36 boxes of video games to unpack, with each box containing 28 video games.
To find out the total number of video games that need to be unpacked, we simply multiply the number of boxes by the number of video games in each box.
The calculation is as follows:
36 boxes × 28 video games per box = 1008 video games
Therefore, Marjorie needs to unpack a total of 1008 video games.
What is the standard number for 4 1/2 million.
Answer:
4,500,000
Step-by-step explanation:
4 million is 4,000,000
half of a million is 500,000
added together is 4,500,000
A bakery sold 31 bagels in the first hour of business and 42 bagels in the second hour .If the bakery had 246 bagels to start with, how many bagels were left after the second hour
Answer:
173 bagels are left
Step-by-step explanation:
31+42=73
246-73=173
use the properties of rational numbers to multiply the following 7/12 * 253 / 5
Answer:
the answer is 29.516 i had this question and got it right have a great day
Step-by-step explanation:
Answer:
1771/60
Step-by-step explanation:
2: Determine the number of solutions of the quadratic equation below.
9x2 – 12x + 4 = 0
Answer:
1 real number solution
Step-by-step explanation:
b^2-4ac=0 1 real number solution
Answer:
1 real
Step-by-step explanation:
help pls??????????????????????????????????????????????????????????
The two events are Independent events. So, the selection of topics by different students does not influence each other's choices.
This is a question about whether the events of students selecting essay topics independently are dependent or independent. In this context, the two events are independent. Each student's choice of topic does not depend on the choices of other students, as they do not need to inform the teacher or each other beforehand. Therefore, the selection of topics by different students does not influence each other's choices.
How far away can a person live from a radio station and hear its broadcast if the signal covers a circular area of 40,000 square miles? Write your answer as a whole number.
Answer:
The person can live at a distance of 113 miles
Step-by-step explanation:
In this question, we are concerned with calculating how far a person live from a radio station and hear its broadcast given that the broadcast covers an area of 40,000 square miles.
Now this question is asking us to calculate the farthest distance from the radio station to the house of the person.
With the radio station being the center, what we are asked to calculate is the radius which is the distance from the center to the edge ( circumference)
Mathematically, the area can be calculated as
A = π * r^2
Here, we have the Area as 40,000 square miles
Thus,
40,000 = π * r^2
r^2 = 40,000/π
r = √(40,000/π)
r = 112.8379
As a whole number r = 113 miles
Multiply and simplify.
(x - 3)(x2 + 3x + 9)
A) x3 - 27
B) x3 - 27x2
C) x3 - 6x2 + 3x - 27
D) x3 - 9x2 + 6x - 27
Answer:
Answer A is correct[tex] {x}^{3} - 27[/tex]
Step-by-step explanation:
[tex](x - 3)( {x}^{2} + 3x + 9) \\ x( {x}^{2} + 3x + 9) - 3( {x}^{2} + 3x + 9) \\ {x}^{3} + 3 {x}^{2} + 9x - 3 {x}^{2} - 9x - 27 \\ {x}^{3} - 27[/tex]
Mr. Hayes has Ill straw bundles to use for bedding in his horse stalls. What is the
greatest number of stalls he can fill if each stall holds exactly 4 bundles of
straw?
We have been given that Mr. Hayes has 111 straw bundles to use for bedding in his horse stalls. We are asked to find the greatest number of bundles that he can fill if each stall holds exactly 4 bundles of straw.
To solve our given problem, we will divide 111 by 4.
[tex]\text{Greatest number of stalls that can be filled}=\frac{111}{4}[/tex]
[tex]\text{Greatest number of stalls that can be filled}=27.75[/tex]
Since 0.75 is not an integer, so Mr. Hayes cannot fill 0.75 of a stall. Therefore, the greatest possible number of stalls will be 27.
please help it is an 100 point test first person gets brainlyist :)
1. $1,200,000 is equal to
million___dollars.
O 0.0012
0 0.12
O 1.2
O 12
O 1200
Answer:
1.2^6
Step-by-step explanation:
cuz count the zeroes, and that is the scientific notation
145 = 3500(0.06)(t)
Answer:
t = 29/42
Step-by-step explanation:
in this equation you have to first multiply everything out on the right side. 3500 * 0.06 = 210.
Now you have 145 = 210t
divide by 210 on both sides
145/210 can be simplified to 29/42
so t = 29/42
Fill in the blank: 2 yards = __________ feet
Answer:
6 feet
Step-by-step explanation:
1 yard = 3 feet
2 yard =6 feet
Sorry I can't have a better explanation it is really simple.
cx=d+r solve for x, pls help
Answer:
x = d/ C + r/ C
Step-by-step explanation:
The "/" means fraction
Mark me as brainliest please
Which of the following best describes the square root of 51?
Answer:
The [tex]\sqrt{51}[/tex] is between the [tex]\sqrt{49}[/tex] and [tex]\sqrt{64}[/tex] which simplified is 7 and 8.[tex]\sqrt{51}[/tex] equals 7.14142843...Step-by-step explanation:
Is there answer choices? If not here's my answer:
The [tex]\sqrt{51}[/tex] is between the [tex]\sqrt{49}[/tex] and [tex]\sqrt{64}[/tex] which simplified is 7 and 8.[tex]\sqrt{51}[/tex] equals 7.14142843...That's all that it should be.
Help please!!
What is the median of the data set?
24, 2, 13, 12, 2, 5, 10, 18
Enter your answer in the box.
Answer:
The median of the data set is 11.
Step-by-step explanation:
2, 2, 5, 10, 12, 13, 18, 24
10 + 12 = 22
22 / 2 = 11
The median of the data set is 11.
We have given the data set,
24, 2, 13, 12, 2, 5, 10, 18
We have to find the median
So first arrange the given data set in asending order.
2, 2, 5, 10, 12, 13, 18, 24
What is the median?The median is the central number of a data set.
There are two number at center that are 10 and 12
So we have to find the mean of this two number.
10 + 12 = 22
22 / 2 = 11
So the median is 11.
To learn more about the median visit:
https://brainly.com/question/26151333
What is an equation of the line that passes through the point (5,1)(5,1) and is parallel to the line x+y=9x+y=9?
Answer:
Step-by-step explanation:
Use the point-slope formula.
y - y_1 = m(x - x_1) you have : x_1 =5 and y_1 =1
m the slope m= -1 (same slope for the line : x+y=9 because this lines are parallel and you can write y=-x+9
an equation for this line is : y-1 = -(x-5)
Consider Circle Y with radius 3 m and m XYZ=70
What is the approximate length of minor arc XZ? Round to the nearest tenth of a meter.
Answer:
4.9m
Step-by-step explanation:
In circle Y:
Radius=4m
Central Angle of XYZ=70°
Length of an arc[tex]=\frac{\theta}{360^\circ}X2 \pi r [/tex]
Therefore, Length of minor arc XZ
[tex]=\frac{70^\circ}{360^\circ}X2X4 X \pi [/tex]
=4.9m (correct to the nearest tenth)