A train moves at a constant speed of 60 miles per hour for 2 hours. It stops for 30 minutes to allow for the herd of cows to cross. It resumes moving at 30 miles per hour for the remaining one hour until it reaches its destination. Write using only numbers separated by commas the amount of distance traveled by 0 hours, 2 hours, 2.5 hours, and 3.5 hours in that order. Example answer format: 1, 3, 5, 7, 9 1,3,5,7,9 Be consistent with your spacing. Either put a space after each comma or put no spacing at all.
Answers
Answer:
0 , 120 , 120 , 150
Step-by-step explanation:
Lets consider in step by step
For Time = 0 hours
At t= 0, the train has not moved from its initial spot. The amount of distance travelled by train is 0
For Time = 2 hours
The train is travelling at a constant speed of 60 miles per hour. As the train travels for 2 consecutive hours at the same speed without stopping, it means that it covers a distance of 60 miles in 1st hour and another 60 miles in 2nd hour. Total distance covered is 120 miles.
For Time = 2.5 hours
The train stops after 2 hours and remain at the same place for 30 mins. So, after 2.5 hours the distance remains the same i.e 120 miles , as the train was stopped.
For Time = 3.5 hours
After 2.5 hours, train travels at a speed of 30 miles per hour. Which means that it covers another 30 miles to reach the destination.
Total Distance covered = 120+30 = 150 miles
Related Questions
The Lcm of 40 and 10 is 20
-Natalia :)
Answers
Answer: False.
The Least Common Multiple of 40 and 10 is 40
Step-by-step explanation:
The least common Multiple of any two (or more) numbers is the lowest number that they can all be divided into evenly-- no fractions, decimals or remainders.
40/40 =1 40/10= 4
20/40 = 1/2 or 0.05 Not allowed!
Don't confuse LCM with the least common factors.
2 and 5 are common Factors of 10, 20 and 40.
I agree with the person above me :)
Solve for x please show steps
Answers
Answer: 12
Step-by-step explanation:
If the two shapes are the same, let's find a ratio using two sides shared by the shake.
10:40
1:4
Meaning, the shape on the right is four times the size of the shape on the left.
Therefore, we can take the missing point of 3, multiply it by 4, and x = 12
PLS HELP ME I AM GIVING 35 POINTS questions in the image pls help so the there are 3 questions pls help the answer to the first one is 156.25cm the second is 221.76cm the thrid one answer is 65.51cm I have provided the answers pls explain how the answers came and the formula to all three questions.
Answers
Answer:
a) 156.25 cm^2 b) 221.67 cm^2 c) 65.42 cm^2
Step-by-step explanation:
a)
We know that the formula for the area of a quadrilateral is Length x Height (A = LH).
Since the length and height of a square is the same, L = 12.5cm and H = 12.5cm.
So we incorporate our formula for the area of a square into this situation:
A = 12.5 x 12.5
A = 156.25 cm^2
b)
We know that the formula for the area of a circle is Pi x radius squared (A = πr^2).
Since we know that the diameter of the circle is 16.8cm, we will use this to find the radius.
Radius can be found by halving the diameter (r = d/2).
So we incorporate our formula for radius into this situation:
r = 16.8/2
r = 8.4cm
Now that we have our radius, we can find the area of our circle.
So we incorporate our formula for the area of a circle into this situation:
A = π(8.4)^2
A = 221.6707776 = 221.67 cm^2
c)
We can see from the diagram that the shaded portion come mainly from the circle. So to find the area of the shaded part, we can simply subtract the area of the square, from the area of the circle (A of circle - A of square = Area of shaded part).
So we incorporate our formula for the area of the shaded part into this situation:
A = 221.67 cm^2 - 156.25 cm^2
A = 65.42 cm^2
The stem-and-leaf plot displays data collected on the size of 15 classes at two different schools.
Mountain View School Seaside School
0 5, 8
9, 8, 2, 0 1 0, 1, 2, 5, 6, 8
8, 7, 6, 5, 5, 4, 4, 3, 1, 0 2 5, 5, 7, 7, 8
0 3 0, 6
Key: 2 | 1 | 0 means 12 for Mountain View and 10 for Seaside
Part A: Calculate the measures of center. Show all work. (2 points)
Part B: Calculate the measures of variability. Show all work. (1 point)
Part C: If you are interested in a smaller class size, which school is a better choice for you? Explain your reasoning. (1 point)
Answers
For Mountain View School:
Data: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 0 + 1 + 2 + 3 + 4 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 8 + 8 + 8 + 9) / 19
= 100 / 19
≈ 5.26
To find the median, we need to arrange the data in ascending order: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5
For Seaside School:
Data: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 1 + 1 + 2 + 2 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 7 + 8 + 8 + 8 + 9) / 19
= 80 / 19
≈ 4.21
To find the median, we need to arrange the data in ascending order: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5
Now let's calculate the measures of variability, specifically the range and interquartile range (IQR).
Range: The range is the difference between the largest and smallest values in the dataset.
For Mountain View School:
Range: 9 - 0 = 9
For Seaside School:
Range: 9 - 0 = 9
Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1) and measures the spread of the middle 50% of the data.
For Mountain View School:
Q1 = 3
Q3 = 7
IQR = Q3 - Q1 = 7 - 3 = 4
For Seaside School:
Q1 = 2
Q3 = 7
IQR = Q3 - Q1 = 7 - 2 = 5
To determine which school is a better choice for a smaller class size, we can consider both the mean and the median.
Both the mean and median for Mountain View School are higher than those for Seaside School. This suggests that, on average, the class sizes at Mountain View School are larger than those at Seaside School. Therefore, if you are interested in a smaller class size, Seaside School would be a better choice
For Mountain View School:
- Median: The median class size is the middle value, which is 25.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (29 + 28 + 28 + 27 + 25 + 24 + 24 + 23 + 21 + 20 + 19 + 18 + 15 + 13 + 10) / 15 = 21.27.
For Seaside School:
- Median: The median class size is the middle value, which is 20.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (25 + 25 + 27 + 27 + 28 + 28 + 28 + 30 + 31 + 35 + 36 + 38 + 40 + 43 + 45) / 15 = 31.13.
Part B:
For Mountain View School:
- Range: The range is the difference between the largest and smallest values, which is 29 - 10 = 19.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 20 and Q3 is 28. Therefore, the IQR is 28 - 20 = 8.
For Seaside School:
- Range: The range is the difference between the largest and smallest values, which is 45 - 25 = 20.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 27 and Q3 is 38. Therefore, the IQR is 38 - 27 = 11.
Part C:
If you are interested in a smaller class size, Mountain View School is a better choice for you because it has a lower mean and median class size than Seaside School.
(6.4 × 103) ÷ (3.2 × 102)
Express your answer in scientific notation.
A.2 × 101
B.2 × 102
C.2 × 105
D.2 × 106
Answers
Step-by-step explanation:
step 1. 6.4 x 103 = 659.2
step 2. 3.2 x 102 = 326.4
step 3.
\(659.2 \times 326.4= 2.01960784314\)
step 4. 2.01960784314 = 2.01960784314 x 10 ^ 0 or 2.01960784314 x 1
i hope this helps sorry i could not give the exact answer you were looking for = ) <3
Here's a dot plot showing the player attendance for
Club practice.
Choose all answers that apply:
4 5 6 7 8 9 10 11 12 13 14 15
Number of players
A
●●●●
Coach Eddie wants to describe the attendance distribu
clusters, gaps, and peaks.
Which of these statements could Coach Eddie use?
A.There is a gap from 11 to 12 players.
B.There is a cluster from 7 to 8 players.
C. None of the above
Answers
There is a gap between 7 to 8 and there is cluster between 12 to 15. Therefore, option C is the correct answer.
A dot plot, also known as a strip plot or dot chart, is a simple form of data visualization that consists of data points plotted as dots on a graph with an x- and y-axis. These types of charts are used to graphically depict certain data trends or groupings.
From the given dot plot,
There is a gap between 7 to 8 and there is cluster between 12 to 15.
Therefore, option C is the correct answer.
Learn more about the dot plot here:
brainly.com/question/22746300.
#SPJ1
What is the ratio of boys to girls?
Boys: 5
Girls: 2
select all that are correct (more than one answer)
A. 2 to 5
B. 2/5
C. 5:2
D. 2:5
Answers
Determine and prove which lines are
parallel
I’ll give Brainliest. Due Soon.
Answers
Answer:
line b, c are parallel line hope it helps
Answer:
lines t and s are parallel because 108=108
line is not parallel to lines a and b because 82 is not equal to 72
lines a and b are parallel because 72 is supplementary to 108
Step-by-step explanation:
use benchmarks to estimate each sum or difference 17/18 - 3/7 ((MORE IN IMAGE))
Answers
Answer:
About 1/2 should be the answer. Hope this helps!
The required, based on the benchmark estimation, the difference 17/18 - 3/7 is approximately 0. Option C is correct.
To estimate the difference between 17/18 - 3/7 using benchmarks, we can round the fractions to the nearest benchmark values.
For 17/18, the nearest benchmark fractions are 16/18 and 1/2.For 3/7, the nearest benchmark fractions are 2/7 and 1/2.Let's estimate the difference using these benchmark values:
Using 16/18 - 2/7:
16/18 is close to 1/2 (9/18) and 2/7 is close to 2/7. Subtracting these fractions gives us:
1/2 - 2/7 = 7/14 - 4/14 = 3/14
Using 1/2 - 1/2:
1/2 - 1/2 = 0
Therefore, based on the benchmark estimation, the difference 17/18 - 3/7 is approximately 0.
Learn more about differences here:
https://brainly.com/question/30149629
#SPJ6
what is the answer to this it takes sara 1/2 day to make birdhouse how much of birdhouse will be built after 2/5 day
Answers
Answer:80%
Step-by-step explanation:
Answer:80%
Step-by-step explanation:
Find the area in the shaded region.
Answers
What is the volume of the sphere below?
A. 817 units 3
B. 36 units 3
C. 27 units3
D. 12 units 3
Answers
Answer:
B)
Step-by-step explanation:
r= 3 units
\(Volume=\frac{4}{3}\pi r^{3}\\\\=\frac{4}{3}*\pi *3*3*3\\\\=4*\pi *3*3\\\\\)
= 36π unit³
Answer:
B 36π units³Step-by-step explanation:
V = 4πr³/3
r = 3
V = 4·π·3·3²/3
= 4π·9
= 36π units³
You exercise for 34 of an hour. You jump rope for 13 of that time. In simplest form, what fraction of the hour do you spend jumping rope?
Answers
Answer:
You spend 1/4 of the hour jumping rope. The question states that 1/3 of 3/4 of an hour is spent jumping rope.
Step-by-step explanation:
Answer: You spend 1/4 of the hour jumping rope.
Step-by-step explanation:
The question states that 1/3 of 3/4 of an hour is spend jumping rope
To find this, multiply 3/4 by 1/3
3/4 times 1/3 = 3/12 = 1/4
So one third of 3/4 is 1/4
Pls help me to find the median and mode, with solution pls
Answers
Answer:
Mode=32
Mean=32
Median=32
Step-by-step explanation:
Mode=highest frequency
Mode=10
Mean=£fx
£f
Mean=1280
40
=32
Median=n/2
=40/2
=20
median=32
Median-32
Hope this helpsssss
pls helpppppppppp pps pls pls
Answers
Needs to be 20 characters long, noticed people had bad answers, I hope I did this right I’m a bit rusty. :) I recommend using Photomath and Desmos to help with stuff as well!!
Answer:
y=-3x+5
Step-by-step explanation:
3x+y+2=0
y=-3x-2 slope is -3
y-(-4)=-3(x-3)
y+4=-3x+9
y=-3x+9-4
y=-3x+5
Please Help ASAP! Rewrite x^4y^2 − 3x^3y^3 using a common factor.
A. 3xy(x^3y − x^2y)
B. 3xy^2(x^2 − x^2y)
C. x^2y(xy − 3xy^2)
D. x^2y^2(x^2 − 3xy)
I think it's B. But I might be wrong.
Answers
Answer:
Step-by-step explanation:
you are completely right please follow your heart <3
You have to look at both x and y and it’s power. You have to look for the lowest power for x and y. For y as you can see that the lowest power is 2. As for x it can be either power of 3 or even 2. When you removed x^2 and y^2 from the equation. The inside parenthesis will be x^2-3xy. Just remember when you divide both x^2 and y^2, you subtract the power.
When you get the answer, please check the answer if it’s the same as the original. Meaning distribution both x^2 and y^2 to inside parenthesis. And for the power, you add them. This way you can double check and see if it’s the same.
The two sets of data have the same Range
A. True
B. False
Answers
From the anime Naruto, the character Madara bought two pair of shoes from Nike & Adidas.
The cost of the Nike is
ହ
of Adidas’s cost. If the Nike cost $84, how much is the Adidas?
Write & solve an Algebraic Equation.
Answers
Answer:
$163+x or$163x
Step-by-step explanation:
Help me please It due in 19 minutes
Answers
^ is exponent btw
Help plz plz plz plz plz plz plz plz plz plz plz plz plz
Which of the following uses the distributive property correctly?
9(m – 2) = 9(m) – 9(2)
9(m – 2) = 9(m) – 2
9(m – 2) = 9 – 9(2)
9(m – 2) = 9(m) + 9(2)
Answers
Answer:
option a
Step-by-step explanation:
9(m-2) = 9(m)-9(2) okok
step-by-step-explanation
The following scatter plot represents the relationship between a person's weight and the number of calories the person burns in one minute of jump roping.
Using the line of best fit, about what weight would a person be if they burned 15 calories per minute?
150 lbs.
180 lbs.
220 lbs.
125 lbs.
Answers
Answer:
They would be roughly 180 Ibs.
PLS HELP ME WITH THIS QUESTION.
Answers
Answer:
Step-by-step explanation:
A triangle adds up to 180 degrees. So, just add all the angles together
75 + 40 + (x+30) = 180
115 + x + 30 = 180
145 + x = 180
x = 35
When did we learn dis
Answers
how to solve 6r - 1 + 6r =11
Answers
Answer:
r = 1
Step-by-step explanation:
The equation is,
→ 6r - 1 + 6r = 11
Now the value of r will be,
→ 6r - 1 + 6r = 11
→ 12r = 11 + 1
→ r = 12/12
→ [ r = 1 ]
Hence, the value of r is 1.
Answer:
The answer is 1 r is equal to 1
Step-by-step explanation:
Which number line plots the integers –2, 3, and 4?
A number line going from negative 5 to positive 5. Points are at negative 3, negative 2, and 4.
A number line going from negative 5 to positive 5. Points are at negative 4, negative 3, and 2.
A number line going from negative 5 to positive 5. Point are at 2, 3, 4.
A number line going from negative 5 to positive 5. Points are at negative 2, 3, 4.
Mark this and return
Answers
Answer:
A number line going from negative 5 to positive 5. Points are at -2, 3, 4.
Step-by-step explanation:
I did this my head
Answer:
D. A number line going from negative 5 to positive 5. Points are at negative 2, 3, and 4.
Step-by-step explanation:
It restates that the points are at -2, 3, and 4, like the question.
Santiago read 10 books in 2 months. What was his rate of reading, in books per month? Give your answer as a whole number or a FRACTION in simplest form.
Answers
Answer: 5/1
Step-by-step explanation:
Based on the given conditions, we see: 10/2
Crossing out the common factor: 5
we rewrite the whole number as a fraction: 5/1
therefore the anwser is 5/1
what is the answer to 1/5(2-25)=2/5(2+20)
Answers
2
−
2
5
2−25 to
−
2
3
−23.
1
5
×
−
2
3
=
2
5
(
2
+
2
0
)
5
1
×−23=
5
2
(2+20)
2 Simplify
2
+
2
0
2+20 to
2
2
22.
1
5
×
−
2
3
=
2
5
×
2
2
5
1
×−23=
5
2
×22
3 Move the negative sign to the left.
−
2
3
5
=
2
5
×
2
2
−
5
23
=
5
2
×22
4 Use this rule:
a
b
×
c
=
a
c
b
b
a
×c=
b
ac
.
−
2
3
5
=
2
×
2
2
5
−
5
23
=
5
2×22
5 Simplify
2
×
2
2
2×22 to
4
4
44.
−
2
3
5
=
4
4
5
−
5
23
=
5
44
6 Since
−
2
3
5
=
4
4
5
−
5
23
=
5
44
is false, there is no solution.
No Solution
Find the volume of a prism. Show your work.
Answers
Answer:
Step-by-step explanation:
11 times 22
the area of its cross-section multiplied by the length
answer: 242cm squared
Each week Sara's science teacher gives a 15
-point quiz.
Her current scores are shown in the table.
What is Sara's mean quiz score?
Answers
Answer:31
Step-by-step explanation:
Please need help ASAP.
Answers
Answer: in this order angle d, e, f line de, ef, fd
Step-by-step explanation:
