The time that taken for the two trains is 1.2 hours.
The computation of the time taken for the two trains is shown below:
Given that
The westbound train travels 55 miles per hour.
And, the eastbound train travels 75 miles per hour.
So, the total speed is
= 55 miles per hour + 75 miles per hour
= 130 miles per hour
The distance is 156 miles
So, the time taken is
[tex]= \frac{distance}{speed}\\\\= \frac{156\ miles}{130\ miles\ per\ hour}\\\\[/tex]
= 1.2 hours
Therefore we can conclude that the time that taken for the two trains is 1.2 hours.
Learn more about the speed here: brainly.com/question/21791162
Answer:
1.2 hours
Step-by-step explanation:
Given data:
Speed of the westbound train = [tex]55 miles/hr[/tex]
Speed of the eastbound train = [tex]75 miles/hr[/tex]
Since the trains are moving in the opposite direction their relative speed becomes,
[tex]55 miles/hr +75 miles/hr=130 miles/hr[/tex].
Since, time = distance / speed
Now the time taken for the two trains to be 156 miles apart
[tex]time = \frac{156 miles}{130 miles/hr} \\=1.2 hours[/tex]
Hence, the time taken for the two trains to be 156 miles apart = [tex]1.2 hours[/tex]
For further understanding of the solution visit https://brainly.com/question/11348729
How thick is the crust layer of the earth in kilometers?
A line passes through the points (0,0) and (4,4). What is the equation of the line?
Answer:
y = x
Step-by-step explanation:
So what we're going to want to do here is use the slope formula and the general equation y = mx + b.
Let's start.
The slope formula is y2-y1/x2-x1. So, put our points in here. 4-0/4-0. Slope: 1.
Okay, we have that. Now, a line that passes through the origin (0,0) is not going to have a y-intercept because it hits the y-axis at 0. So, that cancels out the b.
With our slope 1, the answer is just y = x. Very simple equation.
Hope this helped!
Simplify -1/2x3/5÷(-59/40)
Answer:
12/59
Step-by-step explanation:
-1/2x3/5÷(-59/40)
-3/10÷(-59/40)
-3/10*-(40/59)
120/590
12/59
if triangle ABC = triangle DBC, AB = 10, AC = 7, DC = ?
Answer:
DC =7
Step-by-step explanation:
if ΔABC ≅ΔDBC then the corresponding sides are
AB = DB = 10
AC = DC = 7
See attachment
What are the factors of the quadratic function represented by this graph?
A (x - 1) and (x - 5)
B. (-x-1) and (x + 5)
C. (x-1) and (x + 5)
D (-x + 1) and (x-5)
Answer:
I think it is AStep-by-step explanation:
[tex](x - 1) \: and \: (x - 5)[/tex]
I hope that is useful for you :)
The factors of the quadratic function whose graph is given are (-x -1) and ( x-5).
What is the factor of a quadratic equation?Factor of a quadratic equation is any monomial or binomial which divides the quadratic equation without leaving any remainder.
What is factorization of quadratic equation?Factoring a quadratic equation can be defined as the process of breaking the equation into the product of its factors.
What is solution to the quadratic equation?The solutions of a quadratic equation represent the values of x that make the equation true. And the solutions to any equation are the x-intercepts of that equation.
According to the given question
We have a graph of a quadratic equation and x intercepts -1 and -5.
⇒ we have two points (-1,0) and (-5,0)
⇒ -1 and -5 will be the solution of the quadratic function.
⇒ x = -1 and x = -5
⇒ x+ 1= 0 and x + 5 = 0
or -x -1 = 0 and x+5 = 0
Therefore, the factors of the quadratic function whose graph is given are (-x -1) and ( x-5).
Learn more about the factors of a quadratic function here:
https://brainly.com/question/19525535
#SPJ2
please help geometry
Answer:
E = 10
Step-by-step explanation:
Faces = F = 6
Vertices = V = 6
Edges = E = ?
F + V = E + 2
6 + 6 = E + 2
12 = E + 2
E = 12 - 2
E = 10
Answer:
10
Step-by-step explanation:
There are 6 faces and 6 vertices.
The formula is F + V = E + 2.
So,
6 + 6 = E + 2
12 = E + 2
E + 2 = 12
E = 10
There are 10 edges.
please help!!!!!!!!!!!
Fred bought 7 new baseball trading cards to add to his collection. The next
day his dog ate half of his collection. There are now only 33 cards left.
How many cards did Fred start with ?
What do you think your favorite way of solving an equation will be and why?
(graphing, substitution, elimination)
Answer:
Elimination
Step-by-step explanation:
Elimination is a process which involves complete removal of one of the variables in a given equation, so as to first determine the value of the other variable.
For example in solving a simultaneous equation, applying the elimination method is easily understood, straight forward and simple to use. Once the logic behind the process is well understood and followed, errors can easily be avoided.
Therefore my favorite way of solving an equation would be by applying the elimination method because it is easy and direct to apply.
For the graph of the function h(t) below determine h(153)
Answer:
1
Step-by-step explanation:
As can be seen, for h(t) where t is a multiple of 6, we get -6. Since 150 is a multiple of 6, 153 is 3 more and since the graph visually repeats every 6 units, we can see that h(t) when t is a (multiple of 6) + 3 = 1
Thus h(153)=1
I need help I don't understand it at all
Answer:
x = 9
Step-by-step explanation:
Given
5x - 31 = 23 - x ( add x to both sides )
6x - 31 = 23 ( add 31 to both sides )
6x = 54 ( divide both sides by 6 )
x = 9
Answer: X = 9
Step-by-step explanation: basically you solve it just like any other algebra equation. The only difference is that you have x’s on both sides. You have to move one of them over. I move the x to the right and I added it to the left side. 5x plus x is 6x. ( in case you didn’t already know an x never stands alone when you see one alone it always has an imaginary 1 beside it.) after I did that I tried to isolate 6x so I added 31 to 23. 31 plus 23 equals 54. I then had the equation 6x=54. The next thing I wanted to do was to isolate the x. I then dived 6 on both sides and got x= 9
Katie had 30 stickers. Katie gave 2/3 of the stickers to her sister. Of the amount left, she gave 2/5 to her friend. How many stickers does Katie have left for herself
It took a skydiver 5 seconds to drop 400 feet. What is the rate (in feet per/second) of the skydiver's drop?
Answer:
katie has 6 stickers left
Can someone help me with number 18 and explain how to do it please.
Answer:
its 380
(TRUST ME)
Step-by-step explanation:
Add parentheses to the expression so that its value is 70:
4 + 8 × 6 - 2
4 + (8 × 6) - 2
4 + 8 × (6 - 2)
no parentheses are needed
(4 + 8) × 6 - 2
Answer:
(4 + 8) * 6 - 2
Step-by-step explanation:
P - Parenthesis
E - Exponent
D - Division
M = Multiplication
A - Addition
S - subtraction
(4 + 8) * 6 - 2 = 12 *6 - 2
= 72 - 2
= 70
Answer:
d.) ( 4 + 8 ) × 6 - 2
Step-by-step explanation:
( 4 + 8 ) × 6 - 2
Add 4 and 8.
12 × 6 -2Multiply; 12 by 6.
72 - 2Subtract 2 from 72.
70.Idenify the domain for the function, f(x).
(Negative infinity, infinity)
(Negative infinity, 0) Union (0, infinity)
(Negative infinity, 2) Union (0, 2) Union (0, infinity)
(negative infinity, negative 2) Union (negative 2, 0), union (0, infinity)
Answer:
[tex]Domain = (-\infty,\infty)[/tex]
Step-by-step explanation:
The function is not given; So, I will answer this question using
[tex]f(x) = 1.6x - 2[/tex]
Required
The domain
In [tex]f(x) = 1.6x - 2[/tex],
- there is no fraction where x is in the denominator
- there is no root where x is in the radicand
This means that, there is no restriction on x.
Hence, the domain is:
[tex]Domain = (-\infty,\infty)[/tex]
Answer:
A. (negative infinity, infinity)
Step-by-step explanation:
There are 175 lights on a tree. There are five more
red lights than green lights and three times as many
clear lights as red lights.
For red we could use the variable r and G for green, and c for clear.
Red is G+5
G is R-5
C is Rx3
This is like a guessing Game, you guess and check.
R=36
G=31
C=108
36+31+108=175
Mark Me Brainliest pls I lost 4 brain cells doing this TwT
What is the y-intercept of this quadratic function f(x) = x2 + 2x + 3
Hi there!
[tex]\large\boxed{0, 3}[/tex]
Find the y-intercept by substituting in 0 for x:
f(0) = 0² + 2(0) + 3
Simplify:
f(0) = 3
Answer:
0,3
hope this helped !!!
Step-by-step explanation:
which one is the correct answer
Answer:
B.
Step-by-step explanation:
2x - 31 = - 2x - 314x = 0x = 0Other equations don't have any value of x.
Answer:
[tex]2x-31=-2x-31[/tex]Because if you see.. The component of x will get canceled in each of the other 3 options.. ( 2x - 2x) which means no solution.. In option B.. 2x + 2x will give 4x..= 31-31 = 0..
-------------------------
Hope it helps...
Have a great day!!
If the area of a trapezoid below is 234 square units, what is the value of x?
Answer:
the formula for the area of a trapezoid is area =(top + bottom)/2 x height
using the given information we can solve
for x:
234 = (20+32)/2 X
234 = 52/2 X
234 = 26 X
X=234/26
X= 9 units
Prime numbers between 1 and 11
Answer:
2, 3, 5, 7, 11
Step-by-step explanation:
jajwjendnna1ll4tllsqk2nenqn
Answer:
2, 3, 5, 7, 11
Step-by-step explanation:
just list all the numbers that are only divisible by itself and 1
1 is just not a prime number
not 4 because it has factors 2x2 as well
not 6 because it has factors 3x2
not 8 because it has factors 4x2
not 9 because it has factors 3x3
Complete this item.
For the following figure, can you conclude that / | | m? Select true or false.
Answer:
true
Step-by-step explanation:
:)
only answer mean with explanation please
Answer:
Hello,
3.85
Step-by-step explanation:
[tex]Number\ of\ customers=3+0+5+3+7+2=20\\\\mean=\dfrac{1*3+2*0+3*5+4*3+5*7+6*2}{20} =\dfrac{77}{20} =3.75[/tex]
Find the area of the sector. Round the answer to the nearest tenth.
Answer:
63.4
Step-by-step explanation:
Area of arc is (pi*(11)^2*(60/360))=63.4
FOR EASY BRAINLIEST ANSWER THIS QUESTION:
Two cars leave from the same place and travel in the same directionOne car travels one an one third times as fast as the other. After 3 hours, they are 45 miles apart. What is the speed of each car?
Answer:
22.5 m/h and 7.5 m/h
Step-by-step explanation:
Let's said that x is the speed of the faster car. That means the slower one must have the speed of x/3.
x/3 * 3 + 45 = x * 3
x + 45 = 3x
45 = 3x - x
45 = 2x
x = 22.5
x/3 = 7.5
Solve for: X=____ Y=____
Round to the nearest tenth.
X= 60°
Y=30°
X=22.6°
Y=67.4°
X=30°
Y=60°
X=67.4°
Y=22.6°
Answer:
D
Step-by-step explanation:
These diagrams can drive you crazy. The only way you can do this question is to ASSUME that the angle that looks like it is 90 really is 90. That is a very dangerous assumption.
Solution for y
cos(y) = adjacent / hypotenuse
adjacent = 12
hypotenuse = 13
Cos(y) = 12 / 13
Cos(y) = 0.92308
y = cos-1 (0.92308)
y = 22.6
Solution for x
x does not need trig to solve.
x = 180 - 90 - 22.6
x = 67. 4
So that's D
find the value of 'x' in each of the following figures.
Answer:
You Have to Find Answer Yourself
Step-by-step explanation:
By This - B+D+C = 130°-20°+E
Answer:
110 degrees
Step-by-step explanation:
when continuing line DC down to line AE, it creates a triangle with the intersection point at AE, C and E.
the angles in that triangle are
E (20 degrees)
the internal angle at C = 180 - 130 = 50 degrees
and the angle at the interception point at AE.
since CD is parallel to AB, that angle is equal to x.
the sum of all angles in a triangle is airways 180 degrees.
therefore this angle is
180 - 20 - 50 = 110 degrees = x
Which expression is equivalent to the expression-6.4-12+4.6
Answer:
-1
Step-by-step explanation:
answer is -1.
............
-1
-1 is the answer to the question
Answered by Gauthmath must click thanks and mark brainliest
if √3 = 1.732 find the value of √27 - 3√75+5√48+2√108
Answer:
Exact Form:
3√3−3√155+12√333-3155+123
Decimal Form:
−34.57898412…
Part 1 -Sample roller coasters warm up:
Fanny and Elena enjoy roller coasters. Whenever a new roller Coaster opens near their town,
they try to be among the first to ride. One Saturday, the two friends decide to ride a new
coaster. While waiting in line, Fanny notices that part of this coaster resembles the graph of a
polynomial function that they have been studying in their math class.
The brochure for the coaster says that, for the first 10 seconds of the ride, the height of the
coaster can be determined by H(t) = 0.3t-t+ 21t where t is the time in seconds and h
is the height in feet.
1. Find the height of the coaster at t = 0 second. Explain why this answer makes sense.
2. Evaluate H(10) to find the height of the roller coaster at t = 10 seconds.
3. Graph H(t) using a calculator or a computer program for t=0 to t = 10 seconds.
4. During the first 10 seconds of the ride, is the rollercoaster going up and/or going down?
Is the slope constant?
Answer:
Step-by-step explanation:
h(t) = 0.3t -t +21t , t=time and h=height
1.
at t=0 the hight is h=0
h(0) = 0.3*0 -0 +21*0 = 0
It makes sense that at the time 0 seconds when the rollercoaster did not leave the hight is 0 feet.
2.
for t=10 substitute t with 10
h(10) = 0.3*10 -10 +21*10 = 3 -10 +210 = 203
3. see graph
4. the rollercoaster is going up
Find the area of the circle.
Use 3.14 for n. Do not round your answer.
Hint: A = tir2
3 in.
Area = [?] inches?
Enter the number that
belongs in the green box.
Enter
Pls someone help
Answer:
28.26
Step-by-step explanation:
A = (3.14)(3)^2
A = 3.14 * 9
A = 28.26
Answer:
28.26
Step-by-step explanation:
The area of a circle is
A = pi r^2 where r is the radius
A = 3.14 ( 3)^2
A = 3.14 *9
28.26
