Solution: The speed of old freight train is 0.5 miles per minute and the speed of new dart express train is 1.5 miles per minute.
Explanation:
Let the speed of old freight train is x miles per minute and the speed of new dart express train is y miles per minute.
It is given that the speed of the dart express train is three times faster than the freight train. So, it can be written as,
[tex]3x=y[/tex] ....(1)
The trains are moving towards the opposite directions, therefore the distance between them is increased at the speed of [tex](x+y)[/tex] miles per minute.
[tex]Distance=Speed\times Time[/tex]
The distance between both train in 15 minutes is represented by [tex]15(x+y)[/tex].
According to the given information the distance between trains is 30 miles in 15 minutes.
[tex]15(x+y)=30[/tex]
[tex]x+y=2[/tex]
Use equation (1) and put [tex]y=3x[/tex]
[tex]x+3x=2[/tex]
[tex]4x=2[/tex]
[tex]x=0.5[/tex]
Put this value in equation (1), to find the value of y.
[tex]y=3(0.5)[/tex]
[tex]y=1.5[/tex]
Therefore, the The speed of old freight train is 0.5 miles per minute and the speed of new dart express train is 1.5 miles per minute.
Harold stores 10656 pounds of grain for his 24 cattle.Each cow eats about 12 pounds of grain each day.how many days would the food supply last?
Hey there!
If he has 24 cattle that eat 12 pounds of grain every day, then the amount of grain that they eat every day can be represented by the following equation:
p = 24 x 12 Multiply the two together, and the amount eaten each day is 288 pounds.
We can divide 10656 by 288 to figure out how many times 288 will go into 10656, which tells us how many days the supply will last.
10656 ÷ 288 = 37
So this means the food supply will last 37 days.
Hope this helps!
what is the slope of the line on the graph
Answer:
the slope of the is -1/3
Step-by-step explanation:
Answer: [tex]\dfrac{-1}{3}[/tex]
Step-by-step explanation:
The slope of a line passes through two points (a,b) and (c,d) is given by :-
[tex]m=\dfrac{d-b}{c-a}[/tex]
From the give graph, the line is passing through (0,4) and (6,2).
Then the slope of line will be :-
[tex]m=\dfrac{2-4}{6-0}=\dfrac{-2}{6}=\dfrac{-1}{3}[/tex]
Hence, the slope of the line on the graph [tex]=\dfrac{-1}{3}[/tex]
How can i determine the unit rate from a graph?
Unit rate (rise over run) can be determined from a graph by the amount a straight line goes up and across on a graph. The number the line rises on the graph (each point on the axes it crosses) goes over the the amount it goes across on the graph in fractional form.
If Marcia makes $6.75 an hour, how much did she make on the day depicted, she worked from 7:32 am to 3:43 pm?
A. $55.71
B. $50.17
C. $54.32
D. $55.69
Take note that Marcia makes $6.75 and hour. She also worked from 7:32 am to 3:43 pm which 8 hours in total.
So multiply 8 by 6.75
Which is equal to $54.00 so the closest answer is C. $54.32
Marcia earns $54.32 for working from 7:32 am to 3:43 pm.
What is Equation?Two or more equations with an equal sign is called as Equation.
Given that,
Marcia makes $6.75 an hour,
Marica worked from 7:32 am to 3:43 pm,
So if we calculate the time it is nearly 8 hours(8 hours 11 minutes)
So multiply 8×6.75=54.
As 54 is nearer to C option $54.32 is the answer.
Hence Marcia earns $54.32 for working from 7:32 am to 3:43 pm.
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Find the rate of change for the situation. You run 7 miles in one hour and 14 miles in two hours.
The rate of change is 7 because its 7 miles per hour
Round 8,088 to the nearest thousand
please help me I don't get this
2.5 h = [?] minutes.
Explain how to solve the equation and how to check the solution.
40 = 8y
Answer: 5
Step-by-step explanation:
To solve this equation, you would divide 8 by both sides of the equation to isolate the y variable. this would leave you with the the answer y = 5. To check this solution, you would simply do the reverse operation (multiply 5 by 8). Since multiplying 8×5 = 40, the answer is correct :)
Solving the equation, 40 = 8y, the solution is 5. Substituting y = 5 into the equation to check the solution will give us 40 = 40, which means the solution is correct.
How to Check the Solution to an EquationAfter solving an equation to determine the value of a variable, plug in the value of the variable into the equation. If the solution is correct, the right side will be equal to the left side of the equation.Given:
40 = 8y
Divide both sides by 8
5 = y
y = 5
Check the Solution: Plug in the value of y into 40 = 8y
40 = 8(5)
40 = 40 (True).
Thus, solving the equation, 40 = 8y, the solution is 5. Substituting y = 5 into the equation to check the solution will give us 40 = 40, which means the solution is correct.
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Solve for u: 7/5u+2=1/2.
Solve for u by cross multiplying.
Answer: u = [tex]-\frac{15}{14}[/tex]
In Decimal form the answer is: −1.07142857…
The orange-and-purple-striped sweaters at a store were not selling, so the store put them on sale for half of the original price. The sweaters still did not sell, so the store reduced the price by an additional $10. The sweaters are now priced at $7.50. Write and solve an equation to find the original price of the sweaters. Explain each step of your solution.
7.50 + 10 = 17.50, 17.50 X 2 = 35 Original price is $35 dollars
Write an equation for each line in slope-intercept form.
Answer:
Slope Intercept Form is y = mx +b
1. y = x + 8
2. y = 1/2x + -5
3. y = x + 7
simplify using laws of exponent
| -10^5/10^3 |
Step 1. Use the Quotient Rule: x^a/x^b = x^a-b
|-10^5-3|
Step 2. Simplify 5 - 3 to 2
|-10^2|
Step 3. Simplify 10^2 to 100
|-100|
Step 4. Simplify
100
[tex]Solution, \left|-\frac{10^5}{10^3}\right|=100[/tex]
[tex]Steps: \left|-\frac{10^5}{10^3}\right|[/tex]
[tex]\mathrm{Cancel\:}\frac{10^5}{10^3}:\quad 10^2, =\left|-10^2\right|[/tex]
[tex]\mathrm{Apply\:absolute\:rule}:\quad \left|-a\right|=a, =10^2[/tex]
[tex]\mathrm{Refine}, =100[/tex]
The correct answer is 100
Hope This Helps!!!
<3 - austint1414
If the volume of a cube is 12,167 cubic inches, what is the length of a side of the square?
Answer:
23 in
Step-by-step explanation:
Volume of a Cube: V = a³
Step 1: Define
V = 12,167 in³
a = ?
Step 2: Solve for side length a
Substitute: 12,167 = a³Cube root both sides: 23 = aRewrite: a = 23Step 3: Check
Plug in a to verify it's a solution.
Substitute: V = (23 in)³Evaluate: V = 12,167 in³multiply 4 by p, then double the result
i think its 2(4p) or 8p
Find two equivalent fractions for 2/12
You can find two equivalent fractions by multiplying or dividing the numerator and denominator by the same number.
For example, if you had 2/3 and you wanted to find an equivalent fraction, you could multiply both the numerator (top number) and denominator (bottom number) by 2.
2/3 * 2/2 = 4/6, so an equivalent fraction of 2/3 is 4/6.
Now to find two equivalent fractions for 2/12: since both the numerator and denominator can be divided evenly by 2, you can divide 2/12 by 2/2.
2/12 / 2/2 = 1/6
1/6 is an equivalent fraction to 2/12.
You can also multiply 2/12 by 2/2 for another equivalent fraction.
2/12 * 2/2 = 4/24, so two equivalent fractions for 2/12 are 1/6 and 4/24.
Two equivalent fractions for 2/12 are 4/24 and 6/36.
To find equivalent fractions for 2/12, we need to multiply both the numerator and denominator by the same non-zero number. This will give us fractions that have different numerators and denominators but represent the same value.
Let's start by finding an equivalent fraction by multiplying both the numerator and denominator by 2:
2/12 x 2/2 = 4/24
The fraction 4/24 is equivalent to 2/12 because both fractions simplify to 1/6 when reduced to their simplest form.
Next, let's find another equivalent fraction by multiplying both the numerator and denominator by 3:
2/12 x 3/3 = 6/36
The fraction 6/36 is also equivalent to 2/12 because both fractions simplify to 1/6 when reduced.
Therefore, two equivalent fractions for 2/12 are 4/24 and 6/36, both of which represent the same value as 2/12, which is 1/6 when simplified.
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Me Johnson sells erasers for $3 each he sold 96 erasers last week and he sold 204 erasers this week about how much more money did he make this week
Mr Johnson made $612 this week because if you multiply the amount of erasers by how much he sold them for. So that makes the answer $612
Round 6,212 to the nearest hundred
Answer:
Step-by-step explanation:
6,212 яσυи∂є∂ тσ тнє иєαяєѕт нυи∂яє∂ ιѕ
6,200
Your answer will be 6,200.
How to find the distance between these points?
2/5 (rise/run) is the distance. You move up by 2 and 5 to the right
You can use the distance formula it is: the square root of (x2-x1)^2 + (y2-y1)^2
(1+4)^2 + (8-6)^2
(5)^2 + (2)^2
25+4
29
Take the square root of 29 which is about 5.4
The distance is about 5.4
1.Find the absolute value of the following integers: a. 9 b. −14 c. 0 d. −135 e. +1,408 2.Find the absolute value of the following numbers: a. 18 b. −5.72 c. 0.4 d. −712 e. +102.5
3.A man dropped his keys into the sea, and watched them fall to a depth of −8 meters before landing on a rock. How far are the keys from the surface of the sea? 4.Sue borrowed money from her friends to buy a cinema ticket and snacks. She now has a balance of −$21. How much money must she earn in order to break even, or achieve a balance of $0?
5.Ben removes a stick of frozen butter from the freezer, and finds that it has a temperature of −15°C. When the temperature of the butter reaches 0°C, Ben will use it in a recipe. How many degrees does the temperature need to rise?
1.
(a) 9
(b) 14
(c) 0
(d) 135
(e) 1408
2.
(a) 18
(b) 5.72
(c) 0.4
(d) 712
(e) 102.5
3. 8 meters
4. $21 or more
5. 15 degrees
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Marcus tosses a coin and spins a spinner numbered from 1 to 3. What is the probability the coin lands heads up and the spinner lands on 1?
Answer:
1/6
Step-by-step explanation:
Answer: [tex]\dfrac{1}{6}[/tex]
Step-by-step explanation:
Given statement : Marcus tosses a coin and spins a spinner numbered from 1 to 3.
Let A be the event of getting a head while tossing a coin.
Total faces on coin=2
Then [tex]P(A)=\dfrac{1}{2}[/tex]
Let B be the event of spinner lands on 1.
Total sections on spinner = 3
Then [tex]P(B)=\dfrac{1}{3}[/tex]
Since both events are independent of each other.
Therefore, the probability the coin lands heads up and the spinner lands on 1 = [tex]P(A)\timesP(B)=\dfrac{1}{2}\times\dfrac{1}{3}=\dfrac{1}{6}[/tex]
Hence, the probability the coin lands heads up and the spinner lands on 1 = [tex]\dfrac{1}{6}[/tex]
(02.06)How many pounds are there in 2 and 3 over 4 tons? (1 ton = 2000 pounds)
So we have 2 3/4 tons.
2 tons = 4000 pounds.
3/4 = 75%
We know that 50% (or half) of 2000 is 1000.
Since we have 75%, we can take another half of 1000 and add that to our 1000.
1000/2 = 500
1000 + 500 = 1500
2 and 3/4 tons is equal to 5500 tons.
Answer:
answer is drumroll pleaseeeeeeeeeeeeee ok ok sorry the answer is A: 4075
Step-by-step explanation:
What is the mean for the following set of data? 12, 10, 11, 13, 14 10 12 13 14
The mean is calculated by adding all the data values together, and then dividing the sum by the number of data values.
12+10+11+13+14+10+12+13+14=109
109÷9≈12.1
The mean of the data set is about 12.1.
The mean of the data set will be 12.11.
What is Mean?The mean is the straightforward meaning of the normal of a lot of numbers. In measurements, one of the markers of focal propensity is the mean.
The data set is given below.
12, 10, 11, 13, 14 10 12 13 14
Then the mean of the data set will be
Mean = (12 + 10 + 11 + 13 + 14 + 10 + 12 + 13 + 14) / 9
Mean = 109/9
Mean = 12.11
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The temperature dropped 30°F in a 6 hour period. What was the mean hourly temperature drop?
The mean hourly temperature drop is 5°F per hour, calculated by dividing the total temperature drop of 30°F by the total time of 6 hours.
Explanation:If the temperature dropped 30°F over a period of 6 hours, the mean hourly temperature drop is calculated by dividing the total temperature drop by the total time.
This calculation provides the average rate of temperature change per hour.
To find the mean hourly temperature drop, you use the following steps:
Determine the total temperature change: 30°F.Determine the total time of the change: 6 hours.Divide the total temperature drop by the total time to find the mean hourly drop: Mean Hourly Drop = Total Temperature Drop ÷ Total Time.Perform the calculation: Mean Hourly Drop = 30°F ÷ 6 hours = 5°F per hour.Therefore, the mean hourly temperature drop is 5°F per hour.
Final answer:
The mean hourly temperature drop when the temperature decreased by 30°F over a 6-hour period is 5°F per hour.
Explanation:
The question asks to determine the mean hourly temperature drop when the temperature decreased by 30°F over a 6-hour period. To find the mean hourly drop, you simply divide the total temperature drop by the total number of hours.
To calculate: Mean hourly drop = Total temperature drop ÷ Number of hours
So in this case, it would be: Mean hourly drop = 30°F ÷ 6 hours = 5°F per hour
Therefore, the mean hourly temperature drop was 5°F.
I dont understand what I need to do
Please answer Correctly for brainly
A function can't have more than one Y value for any identical X value
A has two -9 X values which have different Y values so cannot be a function
B has two -8 X values with different Y values, so cannot be a function.
C has two 3 X values with different Y values, so cannot be a function.
The answer is D.
How do I solve this?
Find the GFC of 35 56 and 63
THe GCF of 35 and 56 is 7.
35/5 = 7
56/8 = 7
The greatest common factor of 35 ,56 and 63 is 7
The population of Miguel’s hometown is 23,718 what is 23,718 rounded to the nearest ten thousand?
The digit in the ten-thousands place is 3, and because the digit to the right of that digit is higher than 5, the number will be rounded up to 4.
four students estimated the width of the door to their classroom .who made the best estimate?a,ted:1foot,b,hank,3 feet,c,ann,10feet,d,maria,15feet
Ann's and Maria's estimations of 10 feet and 15 feet are much wider and there would be no door with these widths.
Ted's estimation of 1 foot is also not possible as some stout students can't enter into the class. :D
Hence, Hank's estimation of 3 feet is the best estimate.
Hank made the best estimate of the width of the door at 3 feet, as standard interior doors are usually close to this width.
The question is about estimating the width of a door. Students provided different estimates for the door's width: Ted estimated it to be 1 foot, Hank estimated 3 feet, Ann estimated 10 feet, and Maria estimated 15 feet. To determine who made the best estimate, we can use the contextual knowledge of standard door sizes. Typically, the width of an interior classroom door is closer to 3 feet, which makes Hank's estimate the most reasonable. The estimates provided by Ann and Maria are excessively large for typical doors, and Ted's estimate of 1 foot is too small.