A turtle swims at a speed of 1584 meters per hour. A girl swims at a speed of 1380 millimeters per second how much faster does the girl swim than the turtle in centimeters per minutes?
The girl swims 8280 centimeters per minute faster than the turtle.
Explanation:To calculate how much faster the girl swims than the turtle in centimeters per minute, we need to convert their speeds to a common unit of measurement.
The turtle swims at a speed of 1584 meters per hour, which is the same as 158400 centimeters per hour.
The girl swims at a speed of 1380 millimeters per second, which is the same as 138 centimeters per second.
To convert the girl's speed to centimeters per minute, we multiply her speed in centimeters per second by 60 (since there are 60 seconds in a minute). So, the girl swims at a speed of 138 * 60 = 8280 centimeters per minute.
Therefore, the girl swims 8280 centimeters per minute faster than the turtle.
Final answer:
The girl swims 150,120 centimeters per minute faster than the turtle.
Explanation:
To find out how much faster the girl swims than the turtle, we need to convert their speeds to the same units. First, we'll convert the turtle's speed from meters per hour to centimeters per minute. Since there are 60 minutes in an hour, we can multiply 1584 meters per hour by 100 to convert it to centimeters per minute. This gives us a speed of 158,400 centimeters per minute for the turtle.
Next, we'll convert the girl's speed from millimeters per second to centimeters per minute. Since there are 60 seconds in a minute, we can multiply 1380 millimeters per second by 6 to convert it to centimeters per minute. This gives us a speed of 8,280 centimeters per minute for the girl.
To find out how much faster the girl swims, we subtract the turtle's speed from the girl's speed. So the girl swims 8,280 - 158,400 = -150,120 centimeters per minute faster than the turtle. However, since we want the answer to be a positive value, we can take the absolute value of the difference, which gives us a final answer of 150,120 centimeters per minute.
One of two supplementary angles is five times the measure of the other. find the measure of the smaller angles.
Solve for x. 5x = -123
The domain for f(x) and g(x) is the set of all real numbers. let f(x) = 2x-3 and g(x) = 3x +8 find f(x)g(x)
please help
What is the perimeter of PQR? Show your work.
Combine the like terms to make a simpler expression:
−3k−(−8)+2
You roll a six-sided number cube. Which events are mutually exclusive?
A) rolling a multiple of 2 and a multiple of 4
B) rolling a multiple of 3 and a multiple of 6
C) rolling an even number and an odd number
D) rolling a prime number and an even number
Answer:
C) Rolling an even number and an odd number.
Step-by-step explanation:
We are asked to choose the correct option that represents two mutually exclusive events.
Since we know that mutually exclusive events are those events, who can not happen at the same time. As we cannot have both heads and tails in one toss, either we will get heads or we will get tails.
Let us check our given choices one by one.
A) Rolling a multiple of 2 and a multiple of 4.
Multiples of 2: 2, 4, 6,..
Since 4 is a multiple of 2, so both events are not mutually exclusive and option A is not a correct choice.
B) Rolling a multiple of 3 and a multiple of 6.
Multiples of 3: 3, 6, 9,...
Since 6 is a multiple of 3, so both events are not mutually exclusive and option B is not a correct choice.
C) Rolling an even number and an odd number.
Odd numbers on a cube: 1, 3, 5.
Even numbers on a cube: 2, 4, 6.
Since on one roll of dice we can either have an odd or an even number, both events are not possible with a single roll, therefore, option C is the correct choice.
D) Rolling a prime number and an even number.
Prime number on a cube: 2, 3, 5.
Even numbers on a cube: 2, 4, 6.
We can clearly see that 2 is a prime number and it is even as well, therefore, option D is not a correct choice.
The sum of x and 8 is less than 72 find all possible values of x
If you came home from a trip with 150 south african rand, 350 kuwaiti dinars and 200 japanese yen, how much would you have in u.s. dollars?
We know that:
1 south African rand = 0.075 usd
1 kuwaiti dinar = 3.31 usd
1 japanese yen = 0.0089 usd
Therefore the total money in usd is:
total usd = 150 rand * (0.075 usd / 1 rand) + 350 dinar * (3.31 usd / 1 dinar) + 200 yen * (0.0089 usd / 1 yen)
total usd = 1,171.53 us dollars
PLEASE HELP ME ASAP !!!!!!
The square root of a number is between 7 and 8. which could be the number? a 72 c 51 b 83 d 66
Answer:
51
Step-by-step explanation:
The number could be 51 if the square root of a number is between 7 and 8 option (c) 51 is correct.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
It is given that:
The square root of a number is between 7 and 8.
Let the number is x:
The square root of the number will be √x
7 < √x < 8
Squaring both sides:
49 < x < 64
The number will lie between 49 and 64
From the option, the number 51 lies between 49 and 64.
Thus, the number could be 51 if the square root of a number is between 7 and 8 option (c) 51 is correct.
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△MNO is rotated about point A to △M′N′O′ . Which statements are true about the pre-image and image? Select each correct answer.
The image is the same shape but a different size than the pre-image.
The image is the same size but a different shape than the pre-image.
MN ≅ M′N′
Answer:
MN ≅ M′N′
Step-by-step explanation:
When you rotate an image on a certain pivot point, you´ll end up with two equal images in shape and form, but with different angles from the center, since the image is the same shape, form and length, their sides and angles should be the same, so the sentece that is true is that MN ≅ M′N′.
Which of these shows the result of using the first equation to substitute for y in the second equation, then combining like terms?
y = 3x
2x + 3y = 55
A. 11x = 55
B. 5x = 55
C. 9x = 55
D. 5y = 55
Answer: A. [tex]11x=55[/tex]
Step-by-step explanation:
The given system of equations:
[tex]y = 3x.....................(1)\\\2x + 3y = 55.................(2)[/tex]
When we substitute the value of y in equation (2), we get
[tex]2x+3(3x)=55\\\\\Rightarrow\ 2x+9x=55\\\\\Rightarrow\ 11x=55[/tex]
Hence, the result of using the first equation to substitute for y in the second equation, then combining like terms is [tex]11x=55[/tex]
A polygon has 10 sides. What is the measure of the interior angles of the polygon?
144 degrees is the measure of the interior angles of the polygon.
What is a polygon?In Mathematics, a polygon can be defined as a two-dimensional geometric figure that consists of straight line segments and a finite number of sides. Additionally, some examples of a polygon include the following:
• Triangle
• Quadrilateral
• Pentagon
• Hexagon
• Heptagon
• Octagon
• Nonagon
Generally speaking, the measure of the angle at the center of a regular polygon is equal to 360 degrees. Therefore, the smallest angle of rotation that maps (carries) a regular polygon onto itself can be calculated by using this formula:
α = 360/n
The sum of the measures of the interior angles of an n-sided polygon is given by the formula:
S = (n - 2) × 180 degrees
So, for a 10-sided polygon, we have:
S = (10 - 2) × 180 = 8 × 180 = 1440 degrees
To find the measure of each interior angle, we divide the sum by the number of angles (which is the same as the number of sides for a polygon):
m = S/n = 1440/10 = 144 degrees
Therefore, each interior angle of a 10-sided polygon has a measure of 144 degrees.
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One teaspoon equals 0.5 centiliters. How many liters equal 50 teaspoons? Round the answer to the nearest hundredth.
Which equation can be used to find the measure of angle LJK?
sin(x) = (10/15)
sin(x) = (15/10)
cos(x) = (10/15)
cos(x) = (15/10)
we know that
In the right triangle LJK
m∠LJK°=m∠x°
[tex]cos\ x=\frac{adjacent\ side\ angle\ x}{hypotenuse}[/tex]
in this problem
[tex]adjacent\ side\ angle\ x=JL=10\ in\\ hypotenuse=KJ=15\ in[/tex]
substitute
[tex]cos\ x=\frac{10}{15}[/tex]
therefore
the answer is the option
[tex]cos\ x=\frac{10}{15}[/tex]
The equation that can be used to find the measure of angle LJK is cos(x) = 10/15.
What is a right angle?
The image in the diagram is a right triangle. A right angle is a triangle that has an angle that measures 90 degrees. In the triangle, angle L measures 90 degrees. The hypotenuse is 15 inches.
What can be used to determine the value of xSin = opposite / adjacent
sin x = √(15² - 10²) / 15
sin x = 11.1 / 15
Tan = opposite / adjacent
tan x = 11.1 / 15
Cos = adjacent / hypotenuse
cos x = 10 / 15
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Why are quartiles generally more reliable for judging outliers than mean and standard deviation?
Final answer:
Quartiles are more reliable than mean and standard deviation for judging outliers because they are less affected by extreme values, making them a robust measure, especially for skewed distributions.
Explanation:
Quartiles are generally more reliable for judging outliers than mean and standard deviation because they are less sensitive to extreme values. While mean and standard deviation can be significantly affected by a single outlier, quartiles, particularly the Interquartile Range (IQR), measure the spread of the middle 50 percent of the data, thus minimizing the impact of outliers. The IQR is calculated by subtracting the first quartile (Q1) from the third quartile (Q3), which defines the range where the central half of the data points lie.
Outliers are typically identified using criteria based on the IQR, such as data points that fall below Q1 - 1.5*IQR or above Q3 + 1.5*IQR. Compared to standard deviation, which is affected by the skewness of the data, quartiles present a more robust measure, especially in skewed distributions. Therefore, quartiles offer a more resistant and accurate way of identifying outliers and understanding the data's spread without being unfairly influenced by extreme values.
what is completely factored form of x^4+8x^2-9
Answer: B would be the correct answer on edg. (X+1)(x-1)(x^2+9)
Calculate the speed of a dog running through a yard covering 24m in 52s
The speed of the dog is 4.8m/s
Data;
Distance = 24mTime = 52 secondsSpeedThis is calculated as the ratio between the distance covered to the time taken.
The formula is given as
[tex]speed = \frac{distance }{time taken}[/tex]
Let's plug in our values and solve
[tex]speed = \frac{24}{5}\\ speed = 4.8m/s[/tex]
The speed of the dog is 4.8m/s
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Final answer:
To find the speed of a dog that covers 24 meters in 52 seconds, divide the distance by the time to get an average speed of approximately 0.4615 meters per second (m/s).
Explanation:
To calculate the speed of a dog running through a yard that covers a distance of 24 meters in 52 seconds, you would use the formula for speed, which is:
Speed = Distance ÷ Time
In this case, the dog covers a distance (Distance) of 24 meters in a time (Time) of 52 seconds. Substituting these values into the formula we get:
Speed = 24 m ÷ 52 s
Now, we perform the division to find the speed:
Speed = 0.4615 meters per second (m/s)
Therefore, the dog is running at an average speed of approximately 0.4615 m/s.
A mail-order supplier of small electrical parts charges a shipping fee of $8, plus $5 for each pushbutton light switch ordered. If x is the number of pushbutton switches ordered, then the expression for the total cost of an order is 5x + 8 What is the total cost of six switches?
Answer:
B. Number of switches
x. 5x + 8
1. 13
2. 18
3. 23
Final answer:
The expression for the total cost of an order with x pushbutton switches is 5x + 8. For six switches, it amounts to 5(6) + 8, or $38.
Explanation:
The total cost of ordering a certain number of switches can be determined by the expression 5x + 8, where x is the number of pushbutton switches ordered. In this instance, to find the total cost for six switches, we substitute x with 6. Therefore, the calculation would be 5(6) + 8.
Calculating this, we get:
5(6) = 30Total cost = 30 + 8 = $38Thus, the total cost for ordering six switches is $38.
Write 5^2 • 5^-1 • 5^3 as a single exponent,
Si vendo los 7/4 de lo que no vendí, ¿que parte del total no vendí?
The part of the total that is not sold is 1/4.
If you sell 7/4 of the lot, the part of the total that is not sold is 1 - 7/4 = 1/4.
Another way to think about it is that if you have 4 slices of pie and you sell 7 of them, you have 1 slice left. Therefore, 1/4 of the pie is not sold.
Suppose you have a lot that is 100 square meters in size. If you sell 7/4 of the lot, you will sell 7/4 * 100 square meters = 175 square meters. This means that you will have 100 square meters - 175 square meters = 25 square meters left.
Therefore, the part of the total that is not sold is 25 square meters / 100 square meters = 1/4.
In general, if you sell a fraction of a total, the part of the total that is not sold is 1 - (fraction sold).
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Erin and her friends are taking a road trip. She has agreed to drive between hours 3 and 6 of the trip. If h represents the hours of the trip Erin will be driving, then h ≥ 3 and h≤ 6 represents her portion of the driving. While she is driving, her distance and time are modeled by the inequality d < 70h. What are the possible hours and distances Erin could be driving? When graphing this scenario, let h be the horizontal variable and d be the vertical variable.
Answer:
to the right
to the left
below
(4.5,200)
In the figure, the measure of angle 6 is 141°. What is the measure of angle 5?
Answer:
39 degrees
Step-by-step explanation:
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Tyler solved an inequality to determine the number of songs he can buy with a $20 credit at his favorite music website. The solution is graphed below
Which phrases accurately describe all the possible quantities of songs he can buy? Check all that apply.
no more than 8 songs
at least 8 songs
a minimum of 8 songs
at most 8 songs
fewer than 8 songs
a maximum of 8 songs
no fewer than 8 songs
Answer:
no more than 8 songs
at most 8 songs
Step-by-step explanation:
Answer: A & D
Step-by-step explanation:
Darcy is buying apples and oranges for a large fruit basket to give away as a door prize at a charity event. apples cost $.24 each and oranges cost $.80 each. she has $12 to spend and would like to purchase at least 20 pieces of fruit total
The system of linear inequalities that represent the situation are
$0.24x + $0.80y ≤ $12 and x + y ≥ 20
Here is the complete question:
Write a system of linear inequalities to represent this situation.
Darcy is buying apples and oranges for a large fruit basket to give away as a door prize at a charity event. Apples cost $0.24 each and oranges cost $0.80 each. She has $12 to spend and would like to purchase at least 20 pieces of fruit total.
To write a system of linear inequalities to represent the situation, we will consider the statements one after the other.
Let x represent the number of apples and y represent the number of oranges.
From the second statement,
"Apples cost $0.24 each and oranges cost $0.80 each"; and
From the next statement,
"She has $12 to spend"
That means, she can either spend $12 or less than $12.
Therefore, we can write that
$0.24x + $0.80y ≤ $12
Also, from the following statement
"and would like to purchase at least 20 pieces of fruit total"
That means, she will either purchase 20 pieces of fruit or greater than 20 pieces of fruit.
Then we can write that
x + y ≥ 20
Hence, the system of linear inequalities that represent the situation are
$0.24x + $0.80y ≤ $12 and x + y ≥ 20
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Find slope through the points (3,-1) & (2,5)
after 5 points are subtracted from every score, the sample mean is found to be m = 24. what was the mean for the original sample?
Answer:
The mean of original sample is 29.
Step-by-step explanation:
After 5 points are subtracted from every score, the sample mean is found to be m = 24
So, the mean for the original sample was = [tex]24+5=29[/tex]
Here we are talking about mean so 5 points are subtracted from every score. when we are talking in terms of mean, 5 will be added to the mean, that will give 5 added to every score.
any math experts? Geometry
1.Justify each step in solving the equation 4x=7(x-3) by writing a reason for each statement.
1. 4x=7(x-3)
2. 4x=7x-21
3. -3x=-21
4. x=7
Final answer:
To solve the equation 4x=7(x-3), distribute 7, simplify, isolate the variable, and divide by -3 to find that x=7.
Explanation:
To solve the equation 4x=7(x-3) step by step:
1. First, distribute 7 to (x-3), resulting in 4x=7x-21. (Reason: applying the distributive property)
2. Next, subtract 7x from both sides of the equation, giving us 4x-7x=-21. (Reason: isolating the variable term)
3. Combine like terms on the left side to get -3x=-21. (Reason: simplifying the equation)
4. Finally, divide both sides of the equation by -3 to solve for x, resulting in x=7. (Reason: isolating the variable)
After solving the given equation, that is, 4x=7(x-3), we get the answer x=7.
The cross-section of a beehive reveals it is made of regular hexagons. What is the measure of each angle in the regular hexagon ?
Each angle in a regular hexagon measures 60 degrees.
Explanation:A regular hexagon is a polygon with six equal sides and six equal angles. Since the cross-section of a beehive is made of regular hexagons, each angle in the regular hexagon would have the same measure.
To find the measure of each angle in the regular hexagon, we can use the formula:
Measure of each angle = (360 degrees) / (number of sides)
Substituting the value for a regular hexagon, we have:
Measure of each angle = (360 degrees) / (6 sides)
Therefore, each angle in a regular hexagon measures 60 degrees.