A passenger train and a freight train leave San Jose at 3 p.m., traveling in the same direction. The passenger train is going three times as fast as the freight train. At 6 p.m. they are 240 miles apart. How fast is each travelling?
There is a 3 hour difference in travel time.
So if x is the speed of the freight train and distance is 240 miles...
3(3x)-3x=240
9x-3x=240
6x=240
x=240/6
x= 40mph for the freight train..
passenger train is 3 times faster than the freight..
3×40=120mph
Which expression best estimates
perform the translation of triangle ABC according to the vector DR. Find the coordinates of the image.
ANY NICE PERSON WANA SOLVE DIS?
3 sqrt 125x^10y^13+^3 sqrt 27x^10y^13
Answer:
Simplify each term.
Rewrite 125x10y13 as (5x3y4)3(xy).
Step-by-step explanation:
5x3y43√xy+3√27x10y13
Rewrite 27x10y13 as (3x3y4)3(xy).
Add 5x3y43√xy and 3x3y43√xy to get 8x3y43√xy.8x3y43√xy
i think.
The required simplified solution of the given expression is [tex]135x^{10}y^{13}\sqrt{15}[/tex].
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
[tex]= 3\sqrt{125x^{10}y^{13}}.3\sqrt{27x^{10}y^{13}}[/tex]
Simplifying
[tex]= 9x^{10}y^{13}[\sqrt{125}.\sqrt{27}} ]\\= 9x^{10}y^{13} \times 5\times3\sqrt{5}.\sqrt{3}\\=135x^{10}y^{13}\sqrt{15}[/tex]
Thus, the required simplified solution of the given expression is [tex]135x^{10}y^{13}\sqrt{15}[/tex].
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The formula to find the perimeter of a regular polygon is P = n × s. This means that you multiply the number of sides times the length of each side. Which polygon will have the greatest perimeter? A. a hexagon with each side 3 cm B. a square with each side 5 cm C. a triangle with each side 7 cm D. a pentagon with each side 4 cm
A teacher would like to estimate the percentage of her students who play chess. Which method should the teacher use to select the sample?
A select every other student in her classes until she has selected a total of 30 students
B select all students who are currently in the chess club
C use a computer to randomly select 30 student IDs from all her students
D use a computer to randomly select 30 student IDs from all students
Answer:
the answer is C.
Step-by-step explanation:
since shes trying to find HER students D is wrong and since she needs a random amout of kids it doesnt make sense to choose a and since shes trying to find the percentage of her kids that play chess it would make sense to choose ppl who are already in the chess club.
An arrow shot into the air is 160t -16^2 feet above the ground t is seconds after it is released. During what period of time is the arrow above 384 feet?
The diameter of an ancient chariot wheel is 2 meters. What is the approximate distance the chariot travels if the wheel rotates 120 times? Assume the wheel does not slip.
1,506.4 meters
753.6 meters
376.8 meters
240 meters
The approximate distance the chariot travels is 753.6 meters.
What is the distance the chariot travels?
The distance the chariot travels in one journey is equivalent to the circumference of the wheel.
Circumference of a circle = πD
Distance in 120 trips = πD x 120
3.14 x 2 x 120 = 753.6 meters.
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What is the volume of a block of lead with a density of 11.4 grams per cubic centimeter and a mass of 456 grams?
40 cubic cm is the answer
A cylinder has a radius of 4 feet and a height of 3 feet. What is the volume of the cylinder to the nearest tenth 3. Use 3.14 to approximate π
Answer:
70Pi ft2
Step-by-step explanation:
ed2020
HEEELLLLPPPPP PPPPLLLEAASE I GIVE BRAINLIST!
What is these answer
Which expression finds the length of side x in this right triangle
Answer:the top right
Step-by-step explanation:
Theoretical probability is the same thing as experimental probability.
True
False
✧･ﾟ: *✧･ﾟ:* Answer: *:･ﾟ✧*:･ﾟ✧
✅ False!
✧･ﾟ: *✧･ﾟ:* Explanation: *:･ﾟ✧*:･ﾟ✧
❗ The answer is false because in Theoretical Probability you can not get the exact answer of what it would land on unless it was rigged because the answer will always be random like the Theoretical Probability may say they lose every time but they get that 1/100 chance and win so they can both be different depending on the vary of luck!
~ ₕₒₚₑ ₜₕᵢₛ ₕₑₗₚₛ! :₎ ♡
~
The picture below shows a container that Sue uses to freeze water: A cylinder is shown with base diameter of 4 centimeters and the height as 6 centimeters. What is the minimum number of identical containers that Sue would need to make 2,000 cm3 of ice? (Use π = 3.14.) (1 point) 12 18 27 7
Answer:
[tex]27\ containers[/tex]
Step-by-step explanation:
step 1
Find the volume of one container (cylinder) is equal to
[tex]V=\pi r^{2}h[/tex]
we have
[tex]r=4/2=2\ cm[/tex] -----> the radius is half the diameter
[tex]h=6\ cm[/tex]
substitute
[tex]V=(3.14)(2^{2})(6)=75.36\ cm^{3}[/tex]
step 2
By proportion
Find the the minimum number of identical containers that Sue would need to make [tex]2,000\ cm^{3}[/tex] of ice
[tex]\frac{1}{75.36}=\frac{x}{2,000}\\ \\x=2,000/75.36\\ \\x= 26.5\ containers[/tex]
Round to the nearest whole number
[tex]26.5=27\ containers[/tex]
Answer: 27
Step-by-step explanation:
Given: The height of the cylindrical container = 6 cm
Diameter of container = 4 cm
Then the radius of the container = [tex]\frac{4}{2}=[/tex]2 cm
Now, the volume of the cylindrical container is given by :-
[tex]\text{Volume}=\pi r^2 h\\\\\Rightarrow\text{Volume}=(3.14)(2)^2(6)=75.3982236862\approx75.4\ cm^3[/tex]
Now, the minimum number of identical containers that Sue would need to make 2,000 [tex]cm^3[/tex] of ice is given by:-
[tex]\frac{2000}{75.4}=26.525198939\approx27[/tex]
Hence, the minimum number of identical containers that Sue would need to make 2,000 [tex]cm^3[/tex] of ice is 27.
The angles of a triangle are 28 degrees, 34 degrees, and x degrees. What is the value of x?
A biologist wants to estimate the median width of over 200 oak trees in a forest. Ten trees were selected at random, and their widths, in centimeters, were recorded. 63, 59, 12, 43, 71, 35, 28, 52, 47, 26 What is the estimated median width of all oak trees in the forest? Enter your answer in the box.
Answer:
45
Step-by-step explanation:
The estimated median width of all oak trees in the forest is 45 centimeters.
How to calculate the median width?
To estimate the median width of all oak trees in the forest, we can use the sample of ten trees that were selected at random.
First, we need to order the sample from smallest to largest:
12, 26, 28, 35, 43, 47, 52, 59, 63, 71
The median is the middle value in the ordered list. In this case, there are ten numbers in the list, so the median is the average of the fifth and sixth numbers:
median = (43 + 47) / 2 = 45
Therefore, the estimated median width of all oak trees in the forest is 45 centimeters.
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how can you tell if radicals are like radicals
Answer and step-by-step explanation:
Like radicals have the same root (square root, cubed root, etc.) and the same expression under the radical sign.
In order to determine if two radicals are like, simplify both and then check both the root and the expression under the radical sign.
The sun of 2 and 3 is less than y.
HELP 64 POINTS
Which data set does this stem-and-leaf plot represent?
{15, 19, 19, 20, 30, 33, 39, 41, 45}
{30, 39, 33, 15, 15, 18, 20, 33, 19, 41, 45, 18}
{5, 5, 8, 8, 9, 0, 0, 3, 3, 9, 1, 5}
{ 39, 33, 15, 18, 18, 20, 3, 19, 41, 45, 18}
Key: 1|5 means 15
Answer: {30, 39, 33, 15, 15, 18, 20, 33, 19, 41, 45, 18}
Step-by-step explanation:
1. The key indicates you how to read the values of the stem-and-leaf plot. Then, 1|5 means 15.
2. Then, the first digit is written in the colum Stem and the second digit in the column Leaf.
3. Based on this information, you can write the data given in the stem-and-leaf plot, as following:
15, 15, 18, 18, 19 (The first digit is 1 and the second digit are: 5,5,8,8 and 9)
20 (The first digit is 2 and the second digit is 0)
30, 33, 33, 39 (The first digit is 3 and the second digit are: 0,3,3 and 9)
41, 45 (The first digit is 4 and the second digit are: 1 and 5)
3. Then, as you can see, the data set represented by the stem-and-leaf plot is:
{30, 39, 33, 15, 15, 18, 20, 33, 19, 41, 45, 18}
Answer:
{30, 39, 33, 15, 15, 18, 20, 33, 19, 41, 45, 18}
Leslie need 48 ounces of charcoal. How many pounds should she buy?
The 48 ounces of charcoal will be equal to 2.5 pounds
What is ounces?The ounce is the name of several different units of mass, weight or volume and is derived almost unchanged from the uncia.
We have 48 ounces of charcoal.
We know the conversion that:
[tex]\rm 1 \ Ounce= 0.0625\ Pounds[/tex]
[tex]\rm 48\ ounce=48\times 0.0625\time \ Pounds=2.5\ pounds[/tex]
So the 48 ounces of charcoal will be equal to 2.5 pounds.
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Elevators have safety limits for how much weight they can lift. The elevator at the Terrace Hotel can hold up to 2,100 pounds. write an equation or inequality that represents the allowable weight on the elevator at the Terrace Hotel. Graph the solution to the equation or inequality you wrote on the number line. Explain your answer.
Which side lengths form a right triangle?
Choose all answers that apply:
(Answers in picture)
Option (C). 2, 2, √8, forms a right triangle.
Explanation:A right triangle is a triangle that has one angle measuring 90 degrees.
According to the Pythagorean theorem, in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
Therefore, to determine if a set of side lengths forms a right triangle, we can check if the sum of the squares of the two shorter sides is equal to the square of the longest side.
Option A: 4, 8, 12Based on the calculations above, only option C, 2, 2, √8, forms a right triangle.
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The correct answer is: C. [tex]\(2, 2, \sqrt{8}\)[/tex]
Step 1
To determine which sets of side lengths form a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
Step 2
Let's check each option:
A. [tex]\(4, 8, 12\)[/tex]
- [tex]\(4^2 + 8^2 = 16 + 64 = 80\)[/tex]
- [tex]\(12^2 = 144\)[/tex]
- [tex]\(80 \neq 144\)[/tex]
Therefore, option A does not form a right triangle.
Step 3
B.[tex]\(2, 3, \sqrt{5}\)[/tex]
- [tex]\(2^2 + 3^2 = 4 + 9 = 13\)[/tex]
- [tex]\((\sqrt{5})^2 = 5\)[/tex]
- [tex]\(13 \neq 5\)[/tex]
Therefore, option B does not form a right triangle.
Step 3
C. [tex]\(2, 2, \sqrt{8}\)[/tex]
- [tex]\(2^2 + 2^2 = 4 + 4 = 8\)[/tex]
- [tex]\((\sqrt{8})^2 = 8\)[/tex]
- [tex]\(8 = 8\)[/tex]
Therefore, option C forms a right triangle.
20 points and Brainliest if answered and explained!
Triangle ABC has the angle measures shown.
m∠A= (2x)°
m∠B= (3x)°
m∠C= (4x)°
Which statement is true about the angles?
A) m∠A= 20°
B) m∠B= 60°
C) ∠A and ∠B are complementary
D) m∠A+m∠C= 100°
Answer: The actual answer to the question is m<A=20° (:
Step-by-step explanation:
Zach is filling his dogs bowl with water. Is it reasonable to say that Zach will need about 4 gallons of water?
Greg is running a marathon while running he should drink 22 ounces of water per hour if he runs for 4 hours how much water should he drink
To determine how much water Greg should drink during his 4-hour marathon run, multiply the hourly water intake (22 ounces) by the number of hours (4), resulting in a total of 88 ounces of water.
The student asks about the amount of water Greg should drink while running a marathon for 4 hours, given that he should drink 22 ounces of water per hour. To calculate this, we simply multiply the amount of water he should drink per hour by the number of hours he will be running.
Multiply the amount of water needed per hour (22 ounces) by the total hours running (4 hours).
22 ounces/hour × 4 hours = 88 ounces.
Therefore, Greg should drink 88 ounces of water during his 4-hour marathon run.
Alicia cashed her paycheck and used half her earnings to take three friends to dinner. She spent $42.15 on dinner and she brought home more than $20.00. Write an inequality to represent the situation, using x to represent the amount of Alicia's paycheck.
How does a reflection affect the properties of a two-dimensional figure ?
Therefore in two-dimensional figure reflection show mirror image of flipped
A reflection affect the properties of a two-dimensional figure.
What is the reflection?A reflection is a mirror image of the shape. An image will reflect through a line, known as the line of reflection.
In two dimensional figure reflection affects
and it is it gets mirrored or flipped.
Therefore in two-dimensional figure reflection show mirror image of flipped.
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Your school is 20 blocks east and 12 blocks south of your house. The mall is 10 blocks north and 7 blocks west of your house. You plan on going to the mall right after school. Find the distance between your school and the mall assuming there is a road directly connecting the school and the mall. One block is 0.1 mile. Round your answer to the nearest tenth of a mile.
East=X, West=-X, North=Y, South=-Y
Answer:3.623 miles
Step-by-step explanation:
Given
School is 20 blocks east and 12 blocks south
and mall is 10 blocks north and 7 block west.
There is a road directly connecting the school and the mall.
So distance between school and the mall is
[tex]=\sqrt{(20+12)^2+(10+7)^2}[/tex]
[tex]=\sqrt{32^2+17^2}[/tex]
[tex]=\sqrt{1024+289}[/tex]
=36.23 blocks
And 1 block is 0.1 mile so 36.23 blocks is 3.623 miles
Hannah wants to compare the densities (the ratios of mass to volume) of different brands of gelato. What would be an appropriate unit for Hannah's purpose?
choose 1 answer
A
dollars per gram
B
grams per milliliter
C
liters per kilogram
D
liters per dollar