Answer:
In words is fifteen eighths
Step-by-step explanation:
2 - 1/8 = 158 = 1 78 = 1.875
Answer:
2 - 1/8
Find the lowest common factor
2/1 -1/8
divide by their denominators and multiply by their numerator
16-1 /8
=17/8
Two cars leave the same point at the same time travelling in opposite directions. one car travels west at 20 mph and the other travels east at 60 mph. In how many hours will they be 280 miles apart?
It will take 3.5 hours for the two cars to be 280 miles apart.
To determine the time it takes for the two cars to be 280 miles apart, we can use the concept of relative velocity.
Since the cars are traveling in opposite directions, their velocities can be added together to find their relative velocity:
Relative velocity = Velocity of car traveling east + Velocity of car traveling west
Relative velocity = 60 mph + 20 mph
Relative velocity = 80 mph
The relative velocity of the cars is 80 mph, which means that they are moving away from each other at a combined speed of 80 mph.
To find the time it takes for them to be 280 miles apart, we can use the formula:
Time = Distance / Speed
Plugging in the values, we have:
Time = 280 miles / 80 mph
Time = 3.5 hours
Therefore, it will take 3.5 hours for the two cars to be 280 miles apart.
During this time, the car traveling east would have covered a distance of 60 mph × 3.5 hours = 210 miles, while the car traveling west would have covered a distance of 20 mph × 3.5 hours = 70 miles.
The sum of these distances is indeed 280 miles, confirming the result.
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Philip has been experimenting with new recipes at his bakery for the past 8 months. This month, he tried a recipe for lavender vanilla muffins and gave samples to his customers. He asked them to rate the muffins on a scale of 1 to 10 stars. The median rating was 7 stars, and the interquartile range was 4 stars. ) What can you conclude from these data and statistics? Select all that apply. () No customer gave the muffins fewer than 8 stars. A typical rating for the muffins was 7 stars. The middle 50% of customer ratings had a range of 4 stars. Submit
Homework Progress 9 / 12 Marks The same honey is sold in two different size jars. Large Jar Small Jar 540g for £4.10 360g for £2.81 By considering the amount of honey per penny, work out which jar is the best value for money. Working must be shown.Homework Progress 9/ 12 Marks The same honey is sold in two different size jars. Large Jar Small Jar 540g for £4.10 360g for £2.81 By considering the amount of honey per penny, work out which jar is the best value for money. Working must be shown.
Answer:
Step-by-step explanation:
If the large Jar is $4.10 for 540g
and small jar $2.81 for 360 g
You need to show how much it cost for 1 g,so you can compare how much it cost per gram. You would divide the total cost by the grams to see how much it is for 1 g.
Large jar. $4.10/540 = $.0076 for 1 gram
Small Jar. $2.81/360 =$.0078 for 1 gram
Because the large jar is cheaper to buy per gram, the large jar is the best value for the money.
The data sets below include four random samples of pulse rates, in beats per minute. Each sample includes the pulse rates for 7 individuals. Use the range rule of thumb to find an estimate for the standard deviation, then determine which sample has the smallest amount of variation.
Sample 1 64,78,54,102,76,86,56
Sample 2 100,90,70,70,78,70,94
Sample 3 70,66,50,72,66,64,54
Sample 4 78,36,102,68,66,56,70
Select the correct answer below:
''Sample 3'' has the smallest amount of variation.
What is Standard deviation?Standard deviation is the measure of dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.
Given that;
The data sets below include four random samples of pulse rates, in beats per minute.
Sample 1 64,78,54,102,76,86,56
Sample 2 100,90,70,70,78,70,94
Sample 3 70,66,50,72,66,64,54
Sample 4 78,36,102,68,66,56,70
Here, Each sample includes the pulse rates for 7 individuals.
For Sample 1;
Standard deviation = (102 - 54) / 4
= 12
For Sample 2;
Standard deviation = (100 - 70) / 4
= 7.5
For Sample 3;
Standard deviation = (72 - 50) / 4
= 5.5
For Sample 4;
Standard deviation = (102 - 36) / 4
= 16.5
Therefore, ''Sample 3'' has the smallest amount of variation.
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McGraw-Hill Companies,
1. PHONES Acme Phone Company charges $21 a month plus $0.05 a minute. Belltone
Phones charges $15 a month plus $0.11 a minute. Write and solve an equation to
determine how many minutes a month you must use for the costs of using either
company to be equal.
Answer:
10 minutes
Step-by-step explanation:
Let's call the Acme Company A and Beltone as B
Let m be the number of minutes
A = $21 + $0.05m
B = $15 + $0.11m
A = B$21 + $0.05m = $15 + $0.11m$6 + $0.05m = $0.11m$6 = $0.06m10 = mIt will take 10 minutes for both prices to be equal.
-Chetan K
A. Find the Mode, Median, Mean and Range. Show your work.
1. 24, 31, 12, 38, 13, 15, 46, 62.
2. 17, 66, 14, 79, 47, 95, 32, 21, 10, 58.
3. 53, 22, 76, 46, 68, 32, 15, 29.
4. 17, 24, 8, 19, 6, 34, 10, 28, 12.
5. 5, 8, 9, 10, 11, 15, 21, 32.
6. 28, 15, 15, 46, 27, 21, 24
B. Find the mode, median, and range
7) 5.2, 5.7, 5.2, 4.3, 3.6, 3.8, 2.7, 4.2, 4.3, 3.9, 4.2
8) 18.1 , 18.6, 18.2, 18.1, 18.9, 18.6, 18.7, 18.3, 18.2, 18.6, 18.6
C. Find the mode and median for each data.
9) 2/9 , 7/9, 5/9, 1/9, 3/9, 8/9
10) 1/4, 1/11, 1/6, 1/9, 1/3 , 1/10
A.
1. Mode: No mode. Median: 24. Mean: 30.875. Range: 50.
2. Mode: No mode. Median: 33.5. Mean: 43.9. Range: 85.
3. Mode: No mode. Median: 46. Mean: 43.571. Range: 61.
4. Mode: No mode. Median: 17. Mean: 18. Range: 28.
5. Mode: No mode. Median: 10.5. Mean: 13.5. Range: 27.
6. Mode: 15. Median: 22.5. Mean: 25.857. Range: 31.
B.
7. Mode: 4.3. Median: 4.2. Range: 2.1.
8. Mode: 18.6. Median: 18.6. Range: 0.8.
C.
9. Mode: No mode. Median: 4/9.
10. Mode: No mode. Median: 5/24.
What is the value of r
Step-by-step explanation:
Vertical angles are equal r = 70 degrees
Let p: It is the year 2020.
q: Montclair University montclair is located in Kansas.
Is ~ PV ~ q true or false?
O True
O False
I think it's TRUE so yeah.
James wants to buy a gaming computer priced at $3,774, but he is not able to pay the amount in full.
The shop, though, offers purchase plans to help customers afford their products.
The annual interest rates on offer are below. Simple interest will be calculated on each loan.
Payment Period Interest Rate
12 months 14.8%
24 months 11.6%
James chooses to go with the 12-month plan.
How much will the shop earn in interest? (Answers to whole dollars)
$
What is the total amount that James will pay for the computer?
$
If the repayments are split evenly over the year, how much will James pay per month?
$
WILL GIVE BRAINLIEST PLEASE HELP!
The correct statement regarding the angle measures is given as follows:
m < 1 + m < 4 > m < 3.
How to obtain the angle measures?The given angle measure is as follows:
m < 3 = 119º.
Angles 3 and 4 form a linear pair, meaning that they are supplementary, that is, the sum of their measures is of 180º.
Hence the measure of angle 4 is given as follows:
m < 4 + m < 3 = 180º.
m < 4 = 180º - 119º
m < 4 = 61º.
Angles 1 and 4 are opposite by the same vertex, hence they are congruent, thus the measure of angle 1 is given as follows:
m < 1 = m < 4
m < 1 = 61º.
Hence:
m < 1 + m < 4 = 2 x 61
m < 1 + m < 4 = 122º
122º > 119º
m < 1 + m < 4 > m < 3.
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Here is a hexagon.
Work out the value of x.
150°
140°
56°
Answer:
x = 142
Step-by-step explanation:
The sum of the internal angles in a hexagon is 720°
2x° + 150° +56° + 140° +90° = 720
2x° + 436° = 720°
2x° = 720 - 436
x° = \(\frac{284}{2} =142\)
Hope this helps
Two coins are tossed. Assume that each event is equally likely to occur.
a) Use the counting principle to determine the number of sample points in the sample space.
b) Construct a tree diagram and list the sample space.
c) Determine the probability that no tails are tossed.
d) Determine the probability that exactly one tail is tossed.
e) Determine the probability that two tails are tossed.
f) Determine the probability that at least one tail is tossed.
Question content area bottom
Part 1
a) There is/are ______sample point(s) in the sample space.
a) There are 2 x 2 = 4 sample points in the sample space
How to solve
b) Tree Diagram
O D.\nH\nHe\nT\nH\nT\n
Sample space: D. HH, HT, TH, TT
c) P(no tails) = P(HH)
= 1/4
d) P(exactly one tail) = P(HT, TH)
= 2/4
= 1/2
e) P(2 tails) = P(TT)
= 1/4
f) P(at least one tail) = P(HT, TH, TT)
= 3/4
In mathematics, tree diagrams are often used in probability and statistics to show all the possible outcomes of an event. In computer science, they are used to represent the hierarchical structure of files and directories in a file system
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find the equation of a line perpendicular to 2x + 2y= -10 that passes through the point (6,2)
Answer: The equation of a line perpendicular to 2x + 2y = - 10 that passes through the point (6, 2) is y = x - 4
Is It C? Or E? I’m in between.
A total of 100 people went to the
movies. A ticket cost $4 for adults and
$2 for children. The total sales
amounted to $276. How many children
and adults attended the movies?
Using a system of equations, the number of children and adults who attended the movies is as follows:
Children = 62Adults = 38.What is a system of equations?A system of equations is two or more equations solved concurrently.
A system of equations is also known as simultaneous equations.
The total number of people who went to the movies = 100
The unit cost of adult tickets = $4
The unit cost of children tickets = $2
The total sales = $276
Let the number of children who attended the movies = x
Let the number of adults who attended the movies = y
Equations:x + y = 100 ... Equation 1
2x + 4y = 276 ... Equation 2
Multiply Equation 1 by 2:
2x + 2y = 200 ... Equation 3
Subtraction Equation 3 from Equation 2:
2x + 4y = 276
-
2x + 2y = 200
2y = 76
y = 38
Substitute y = 19 in equation 1:
x + y = 100
x + 38 = 100
x = 62
Check in Equation 2:
2x + 4y = 276
2(62) + 4(38) = 276
124 + 152 = 276
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Help please..........
Answer:
Yes
Step-by-step explanation:
Answer:
yes pls give brainliest
Step-by-step explanation:
answer is yes
i need help with math
The relationship between the distance that birds fly in relation to the time they do so, is positive.
There are about 3 outliers but for the most part, the relationship is positive.
How to describe the relationship ?The graph which shows the distance that birds fly in relation to the time they do, shows that there is a positive relationship because as the time increases, the distance that the birds have flown also increases.
There are some outliers such as the bird that flew 1 mile in 7 hours but in general, as the time increases, the distance increases as well. There are two clusters of distance as well.
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You have a 7-by-5-inch photo of the math club that must be reduced to a size of 4.2 inches by 3 inches for the school yearbook. What percent does the photo need to be reduced to in order for it to fit in the allotted space?
Answer: 64%
Step-by-step explanation:
Given: Size of photo = 7-by-5-inch
Area of photo = 7 x 5 = 35 sq. inches [ Area = Length x width]
Required size = 4.2 inches by 3 inches
Area of required size = 4.2 x 3 =12.6 sq. inches
Area reduced =Area of photo - Area of required size = 35-12.6 =22.4 sq. inches
Percentage of the photo need to be reduced to in order for it to fit in the allotted space
\(=\dfrac{22.4}{35}\times100=64\%\)
Percentage of the photo need to be reduced to in order for it to fit in the allotted space = 64%
H
HELP ASAP!! (NO LINKS) WILL GIVE BRAINLIEST
The numbers of inches of rainfall received in eleven cities during April are 10, 12, 18, 12,
14, 19, 20, 9, 15, 17, and 11. identify the box-and-whisker plot for this data.
Answer:
B
Step-by-step explanation:
Median value = 14 ( the number in the middle of the ascending-order list)
2 quartile 25% are below 11
3 quartile 25% are above 18
min 9 max = 20
Answer:
i think it's b
Step-by-step explanation:
what fraction is equal to 3/-7?
Step-by-step explanation:
Hence, the five fractions equivalent to 3/7 are 6/14,9/21,12/28,15/35 and 18/42.
a water snake in a well is 30 M below the ground level its lights 20 m upward and then slips down 10 M how far it is from the ground level
\( - 30 - + 20 - - 10\)
If the water snake is initially 30 meters below the ground level and then climbs 20 meters upward, it will be 30 - 20 = 10 meters below the ground level. However, if it then slips down 10 meters, it will be 10 + 10 = 20 meters below the ground level.
If M is the set of all square numbers less than 80 and N is the set of all non-negative even numbers that are under 30, Write the lists of all elements of M and N.
Answer:
The set M of all square numbers less than 80 is:
M = {0, 1, 4, 9, 16, 25, 36, 49, 64}
The set N of all non-negative even numbers that are under 30 is:
N = {0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28}
Answer:
All elements of the set M in ascending order are:
1, 4, 9, 16, 25, 36, 49, 64All elements of the set N in ascending order are:
0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28Step-by-step explanation:
A square number, also known as a perfect square, is a non-negative integer that is obtained by multiplying an integer by itself. In other words, it is the result of squaring an integer.
The square numbers less than 80 are:
1, 4, 9, 16, 25, 36, 49, and 64.An even number is an integer that is divisible by 2 without leaving a remainder.
The non-negative even numbers that are under 30 are:
0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, and 28.Therefore:
All elements of the set M in ascending order are:
1, 4, 9, 16, 25, 36, 49, 64All elements of the set N in ascending order are:
0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28What is the ratio of the number of even factors to odd factors of24?
The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24.
Thus, there are 6 even factors and 2 odd factors.
Therefore, the ratio of the even to odd factors is 6:2 or 3:1.
Cindy types 180 words in 2 minutes
Enter the number of words Cindy types in 5 minutes at this rate.
60% of the students in Math 6 are currently mastering their math lessons. If 300 students are currently mastering their math lessons, how many students are in Math 6? A. Joey thinks that 180. Do you agree with Joey? Why or why not? B. What method do you think Joey used to arrive at his answer? Is it the right way to solve this? C. Show the work for how to set up and solve the problem correctly. You may either use a percent equation, set up a table, or use a model. Work: Final Answer:
Final answer is that there are 500 students in Math 6.
what is percentage ?
Percentage is a way of expressing a number as a fraction of 100. It is often denoted using the % symbol. For example, 50% means 50 out of 100, or 0.5 as a decimal.
According to question:
A. Joey's answer of 180 is not correct. If 300 students are currently mastering their math lessons and this represents 60% of the total number of students in Math 6, we can use the following equation to find the total number of students in Math 6:
60% of the total number of students = 300
0.6 × Total number of students = 300
Total number of students = 300 ÷ 0.6
Total number of students = 500
Therefore, there are 500 students in Math 6, not 180.
B. It is possible that Joey used a method called "guess and check" to arrive at his answer of 180. This method involves guessing a number, plugging it into an equation or problem, and checking to see if it is the correct answer. While this method can be useful in some cases, it is not a reliable method for solving this problem since there are an infinite number of numbers to guess from and the probability of guessing the correct answer is low.
C. To solve this problem correctly, we can use a percent equation. We know that 60% of the students in Math 6 are mastering their math lessons, so we can write:
0.60 × Total number of students = 300
To solve for the total number of students, we can divide both sides of the equation by 0.60:
Total number of students = 300 ÷ 0.60
Total number of students = 500
Therefore, the final answer is that there are 500 students in Math 6.
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help
A pizza is cut into ten slices. How many slices are there in six pizzas?
On the double number line below, fill in the given values, then use multiplication o
division to find the missing value:
slices
pizzas
There are 60 slices in 6 pizzas. Submit Answer
attempt 1 out
Answer:
60 slices
Step-by-step explanation:
1 pizza = 10 slices
6 pizzas = 10 slices * 6 = 60 slices
Ruby has 20 oranges. If she eats 3/5 of them, how many does she have left.
Answer:
She has 12 oranges left
Step-by-step explanation:
convert 3/5 to a decimal
3÷5=0.6
then multiply that by 20
0.6*20=12
Find the measure of the third interior angle of a triangle, given the measure of two angles.
62 and 24 and ______
We know that the sum of the internal angles is equal to 180°, then we write and solve a linear equation to see that the missing angle is 94°.
How to find the measure of the third angle?Remember that for any triangle, we know that the sum of the interior angles is equal to 180°.
In this case we know that two of the angles have a measure of 62° and 24°, and if the third angle is x, then we can write the linear equation:
62° + 24° + x = 180°
To solve this we need to isolate x, we will get:
x = 180° - 24° - 62°
x = 94°
So the measure of the third interior angle is 94 degrees.
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A sealed, inflated balloon is placed into a flask of liquid nitrogen at a temperature of 77 k. The ballon begins to shrink and shrivel up. Use gas particle motion to explain why.
This causes the volume of the balloon to decrease, leading to an increase in the number of collisions between gas particles and the inside surface of the balloon, and causing the balloon to shrink and shrivel up.
What is temperature?Temperature is a measure of the average kinetic energy of the particles in a substance or system. In other words, it is a measure of how hot or cold something is relative to a standard reference point. The SI unit of temperature is the kelvin (K), but temperature is often measured in degrees Celsius (°C) or Fahrenheit (°F) in everyday life. Temperature plays a crucial role in many natural and man-made processes, and is a key factor in determining the behavior of matter at different states.
Here,
When a sealed, inflated balloon is placed into a flask of liquid nitrogen at a temperature of 77 K, the gas particles inside the balloon lose thermal energy and slow down. As the temperature drops, the average kinetic energy of the gas particles decreases, causing them to move slower and collide less frequently. This results in a decrease in pressure inside the balloon.
According to the Ideal Gas Law, PV = nRT, where P is the pressure of the gas, V is its volume, n is the number of moles of gas, R is the gas constant, and T is the temperature in Kelvin. As the pressure inside the balloon decreases, its volume also decreases, since the number of moles of gas and the gas constant remain constant.
Since the balloon is sealed, the gas particles cannot escape, so they continue to collide with each other and the inside surface of the balloon. As the volume of the balloon decreases, the gas particles become more crowded, increasing the number of collisions between them. This leads to a decrease in the distance between the gas particles and the inside surface of the balloon, causing the balloon to shrink and shrivel up.
In summary, when a sealed, inflated balloon is placed into a flask of liquid nitrogen at a temperature of 77 K, the gas particles inside the balloon lose thermal energy, slow down, and collide less frequently, resulting in a decrease in pressure inside the balloon.
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I need help where do I plot the point help asap please
Answer:
Plot the point at the minimum of the graph.
Step-by-step explanation:
If you keep moving the graph down, pick the point with the lowest y value that is still on the blue.