A conductor is mapping a trip and records the distance the train travels over certain time intervals. The train travels at a constant speed. What is its speed?
Answers
Answer:
Speed = 25miles per hour
Step-by-step explanation:
Represent the time with x and the distance with y
So, from the attachment; we have the following details:
[tex](x_1,y_1) = (0.5,12.5)[/tex]
[tex](x_2,y_2) = (1,25)[/tex]
[tex](x_3,y_3) = (1.5,37.5)[/tex]
Required
Determine the constant speed
Because the train travelled at a constant speed, the speed can be calculated using:
[tex]Speed = \frac{y_3}{x_3}=\frac{y_2}{x_2}=\frac{y_1}{x_1}[/tex]
[tex]Speed = \frac{12.5}{0.5}=\frac{25}{1}=\frac{37.5}{1.5}[/tex]
[tex]Speed = 25=25=25[/tex]
Notice that the result of each division is the same.
Hence, the constant speed is:
Speed = 25miles per hour
Related Questions
Subtract 5y^2 + 3y + 11 from 4y^2 + 7 - 6y.
show steps please i know the answer but i need the steps :/
Answers
Answer:
I got -y^2 - 9y -4 (I hope it helps)
Step-by-step explanation:
4y^2 - 5y^2= -y^2
7-11= -4
-6y + -3y= -9y
-y^2 -9y -4
HELP please, will give brainliest
Answers
2/3 , 1
Answer:
[tex]\boxed{x_1 = \frac{2}{3} ~~or~~x_2 = 1}[/tex]
.
Step-by-step explanation:
[tex](3x - 2)(5x - 4) = (3x - 2)^2[/tex]
[tex]15x^2 - 12x - 10x + 8 = 9x^2 - 12x + 4[/tex]
[tex]15x^2 - 22x + 8 - 9x^2 + 12x - 4 = 0[/tex]
[tex]6x^2 - 10x + 4 = 0[/tex] → divide both segment by 2
[tex]3x^2 - 5x + 2 = 0[/tex]
[tex](3x - 2)(x - 1) = 0[/tex]
[tex]3x - 2 = 0[/tex]
[tex]3x = 2[/tex]
[tex]x = \frac{2}{3}[/tex]
.
[tex]x - 1 =0[/tex]
[tex]x = 1[/tex]
Which of the following number(s) are rational? Select all that apply.
a 2.323232…
b 2.32222…
2.323148…
c -2.3
d Negative 2.ModifyingAbove 3 with bar
Answers
Answer:
A B DE on ed 2021
Step-by-step explanation:
PLEASE COMMENT IF YOU ARE IN 7-12 GRADE AND WANTS TO BE MY ONLINE TUTOR !!!!
Answers
Answer:
Comment
Step-by-step explanation:
U~U
The graph shows the cost of some taxi journeys.
Work out a formula for C in terms of n.
Answers
Someone help a little more please, I’m not sure what setup they want
The formula for C in terms of n is C=3/5n+3
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
From the given graph take two points (0,3) and (5,6)
Slope m=6-3/5-0=3/5
Now let us find y intercept
3=3/5(0)+b
b=3
So formula for C in terms of n is C=3/5n+3
Hence, the formula for C in terms of n is C=3/5n+3
To learn more on slope of line click:
https://brainly.com/question/14511992
#SPJ2
The diagram shows. LOOK AT THE PIC.
pls help me.
Answers
Answer:
The perimeter of the shaded region is 267.8 m ( approximately)
Step-by-step explanation:
You can check eudora's answer here, he did a good job explaining this problem: https://brainly.com/question/12440967
Solve algebraically for x:
3600 + 1.02x < 2000 + 1.04x
Answers
Answer:
[tex]x < 80000[/tex]
Step-by-step explanation:
[tex]3600 + 1.02x < 2000 + 1.04x \\ \frac{ \: \: \: \: \: \: \: \: \: \: \: \: - 1.04x < \: \: \: \: \: \: \: \: \: \: \: \: \: - 1.04x}{3600 - 0.02x < 2000} \\ \\ 3600 - 0.02x < 2000 \\ \frac{ - 3600 \: \: \: \: \: \: \: \: \: < - 3600}{ - 0.02x < - 1600} \\ \\ \frac{ - 0.02x}{ - 0.02} < \frac{ - 1600}{ - 0.02} \\ \\ x < 80000[/tex]
The top of Mount Romero is 123.5 feet above sea level. The bottom of Mount Romero is 32.7 feet below sea level. What is the distance between the top and bottom of the mountain?
Answers
Answer:
156.2
Step-by-step explanation:
mark brainliest
Simplify the expression. 3.6 - 3.1n -2n + 5
Answers
Answer:
-5.1n+8.6 plz give brainliest
Step-by-step explanation:
David recorded the total number of miles he has driven in his car. He did not record data on day 5 or 8. The graph is shown below. using extrapolation estimate how many total miles he will have driven on day 5
A 115
B 102
C 80
D 130
Answers
Answer: 225
Step-by-step explanation:
What is the correct answer? Please hurry <3
Answers
Answer:
60
Step-by-step explanation:
Answer:
60
Step-by-step explanation:
The bigger parallelogram is 4 times larger than the one on the left
what are the x and y intercepts of the function??
Answers
Answer:
first one
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
x-intercept is (-4,0)
y-intercept is (0,-3)
If you need only 1 c of milk, what is your best choice at the grocery store---- a quart container, a pint container, or a 1/2 gal container?
Answers
Step-by-step explanation:
Since 1 gallon = 4 quarts ⇒ (1/2) gallons = 2 quarts
1 gallon = 8 pints ⇒ (1/2) gallons = 4 pints
1 gallon = 16 cups ⇒ (1/2) gallons = 8 cups
Therefore from the given relation with gallons we can describe the relation between the cups, quarts and pints.
(1/2) Gallon > quarts > pints > cups
If we need 1 cup of milk then a pint container will be the best choice at a grocery store.
Which of the following is true regarding the quotient of 7 + 91? Check all that apply.
1 + 21
The real part of the quotient is 5.
The real part of the quotient is -5.
The imaginary part of the quotient is 1.
The imaginary part of the quotient is -1.
The quotient is located in quadrant |.
The quotient is located in quadrant IV.
Answers
Answer: A, D, F
The real part of the quotient is 5
The imaginary part of the quotient is -1
The quotient is located in quadrant IV
Step-by-step explanation:
edge2020
lol hope this helped
Answer:
A, D, F or 1, 4, 6.
Step-by-step explanation:
just did it on edge
Frank is having the car pets in his house cleaned. The cost of the cleaning is calculated from the area of the carpets. C= the cost of the cleaning a= the area of the carpets. Which of the variables is independent which is dependent?
Answers
Answer:
Cost of the cleaning, C is the dependent variable
Area of the carpet, a is the independent variable
Step-by-step explanation:
cost of the cleaning is calculated from the area of the carpets
C= the cost of the cleaning a= the area of the carpets.
Cost of the cleaning, C is the dependent variable
Area of the carpet, a is the independent variable
A dependent variable is a variable which depends on other factors to exist. They take their values based on other factors. Their value is changed as a result of a change in independent variable
An independent variable is a variable which does not change as a result of the change in other factors. They take their values irrespective of external factors around them.
Which are undefined terms that can be used to define other terms?
Answers
Answer: rocky or Bert
Step-by-step explanation: jib leg is hertz
PLZ HELP ME Solve -2z – 5 > 3 for z.
Answers
Answer:
z<-4
Step-by-step explanation:
-2z-5>3
Add 5 to both sides.
-2z>8
Divide both sides by -2.
Z<-4
The sign must change because you are dividing by a negative.
Which of the following graphs correctly graph y=4^x
(PICS BELOW!!!) (HURRY)
Answers
Answer:
Thus, the 2nd or lower graph represents the graph of [tex]y\:=\:4^x[/tex].
The correct graph is also attached below.
Step-by-step explanation:
Given the function
[tex]y\:=\:4^x[/tex]
Let us determine the y-intercept by setting x=0, and then determining the corresponding y-value.
now substituting x = 0 in the function
[tex]y=\:4^0\:[/tex]
Apply the rule: [tex]a^0=1,\:a\ne \:0[/tex]
[tex]y = 1[/tex]
Thus, the y-intercept is (0, 1)
Now, if we closely observe the 2nd graph or lower graph, the y-intercept of the lower graph is (0, 1)
Thus, the 2nd or lower graph represents the graph of [tex]y\:=\:4^x[/tex].
The correct graph is also attached below.
7x+16 can someone help me solve this problem??!!!
Whoever answers first gets brainlyest.
Answers
Answer:
-16/7
Step-by-step explanation:
7x+16=0
7x=-16
x=-16/7
Answer:
are you solving for x? if not lemme know how to solve it and ill edit my answer
Step-by-step explanation:
7x+16=0
-16 -16
7x=-16
/7 /7
x= -16/7
i am in algebra two so i can help
Explain how to graph y+4=6 on a graph
Answers
Answer:
It will be a straight line in the Y intercept of 2.
So basically it would be a horizontal line passing through the number two.
How do you divide 2.16 by 3
Answers
Answer:
by moving the decimal in both numbers twice to the right and doing normal long division (the decimal in 3 is at the end) to get the answer of 0.72
Answer:
The answser is 0.72 because you divide 2.18 by 3
Step-by-step explanation:
for using bace ten blocks you have too move the decimal number 2 spaces to the right. 2.16-->216 You need 21 ten rods and 6 cubes. Why: I wouldn't do 2 hundred flats because 2 isn't divisible by 3. Put the ten rods into 3 equal group, then do the same with the cubes. You should end up with 7 in each group since 21 divided by 3 is 7. You should also end up with 2 cubes in each group. So in one group you have 72. Now move the decimal back to where it came from, 2 spaces to the left. Now you have 0.72.
whats 290 x 4000 pls help
Answers
Answer: it’s 1160000
Step-by-step explanation: hope I helped:)
Answer:
hope it helps you a little
what is 222.567 x 4886.88
Answers
Answer:
bro just look on a caculater
Step-by-step explanation:
1087658.22
Last year, wind turbines along a hilly ridge had an average output of 440 kilowatt hours per year. The turbines were upgraded, and now their average annual output is 45% more. What is the new average yearly output?
please help
Answers
Answer:
So your told that its 440 KWH per year They were upgraded to reflect a 45% change So you multiply the total × % change 440 × 0.45 =198Add the new found total to the old yearly total440+198= 638 KWH for the new turbineRate positively and give brainlist
giving brainliest lol
Answers
Answer:
if I am not wrong it would be c
Step-by-step explanation:
Paula has a large ball of yarn that she is going to use to knit a scarf for the winter. Every square inch on the scarf requires a certain number of yards of yarn from the ball. A linear model of this situation contains the values (11 , 352.99) and (30 , 126.7), where x represents the number of square inches knitted on the scarf, and y represents the number of yards remaining on the ball of yarn. How many yards of yarn did Paula start with?
Answers
Answer:
She started with 484 yarns
Step-by-step explanation:
Given
[tex](x_1,y_1) = (11,352.99)[/tex]
[tex](x_2,y_2) = (30,126.7)[/tex]
Required
Number of yarns she started with
The interpretation of this question is to calculate the y intercept.
We strt by calculating the slope (m)
[tex]m = \frac{y_1 - y_2}{x_1 - x_2}[/tex]
[tex]m = \frac{352.99 - 126.7}{11 - 30}[/tex]
[tex]m = \frac{226.29}{-19}[/tex]
[tex]m = -11.91[/tex]
Next, we calculate the linear equation as follows;
[tex]y - y_1 = m(x - x_1)[/tex]
Where
[tex](x_1,y_1) = (11,352.99)[/tex]
[tex]m = -11.91[/tex]
[tex]y - 352.99 = -11.91(x - 11)[/tex]
[tex]y - 352.99 = -11.91x + 131.01[/tex]
Make y the subject
[tex]y= -11.91x + 131.01 + 352.99[/tex]
[tex]y= -11.91x +484[/tex]
A linear equation has the form
[tex]y=mx + b[/tex]
Where
[tex]b = y\ intercept[/tex]
By comparison.
[tex]b = 484[/tex]
Hence, she started with 484 yarns
Which letters shown below on the number line also have their opposites labeled
Answers
Answer:
B c and d
Step-by-step explanation:
In the first week of June, a restaurant sold 10,345 omelets. In the second week, 1,096 fewer omelets were sold than in the first week. In the third week, 2 thousand more omelets were sold than in the first week. In the fourth week, 2 thousand fewer omelets were sold than in the first week. How many omelets were sold in all in June? *
Answers
Answer:
40, 284 omelets
Step-by-step explanation:
Given that:
In the first week of June = 10345 omelets were sold
In the second week = 1096 fewer omelets are sold than in week one
i.e. 10345 - 1096 = 9249 omelets
In the third week = 2000 more were sold than week one.
i.e. 2000 + 10345 = 12345 omelets
In the fourth week = 2000 fewer omelets were sold than week one.
i.e. 10345 - 2000 = 8345 omelets
Thus, the total quantity of Omelet sold in the month of June is:
= (10345 + 9249 + 12345 + 8345) omelets
= 40, 284 omelets
You are planning a thanksgiving fest for all your family and friends. You invite 224 people. You plan to have a piece of pie for each guest. Pumpkin pies have 6 pieces and cost $5. Apple pies have 8 pieces and cost $7. You only have $191 left in your budget. How many of each type of pie should you hut
Answers
Answer:
Step-by-step explanation:
You are planning a thanksgiving fest for all your family and friends. You invite 224 people. You plan to have a piece of pie for each guest. You only have $191 left in your budget. How many of each type of pie should you hut
Let the number of pumpkin pies = p
The number of apple pies = a
Pumpkin pies have 6 pieces and cost $5. Apple pies have 8 pieces and cost $7.
Hence:
p + a = 224 people
p = 224 - a
$5 × p + $7 × a = $191
5p + 7a = 191..... Equation 1
Substitute 224 - a for p in Equation 1
5(224 - a) + 7a = 191
1120 - 5a + 7a = 191
- 5a + 7a = 191
does each relation reprsent a fuction? choose yes or no
1.(1,3), (2,5), (2,7), (4,9) yes or no
2.(1,3), (2,5), (3,7), (4,9) yes or no
3.(1,3), (1,5), (1,7), (1,9) yes or no
4.(1,3), (2,3), (3,3), (4,3) yes or no
Answers
Answer:
sorry for the questions i am not able to give answer