73 is the rate of the eastbound train while The speed of the westbound train is 59 miles per hour.
What is Speed?speed is described as. the pace at which an object's location changes in any direction. Speed is defined as the distance traveled divided by the travel time. Speed is a scalar quantity because it just has a direction and no magnitude.
Given, Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels 14 miles per hour slower than the westbound train.
Eastbound train:
time = 3 hrs, rate = x mph, distance = 3x miles
Westbound train:
time = 3 hrs ; rate = x-14 ; distance = 3x-42 miles
3x + 3x - 42 = 480
6x = 438
x = 73 (rate of the eastbound train)
To find the rate of the westbound train:
rate = x -14
rate = 73 - 14
rate of westbound train = 59
Therefore, The speed of the westbound train is 59 miles per hour.
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2. Rewrite 326 in scientific notation.
O 32.6 x 101
O 3.26 x 102
O 0.326 x 103
Answer:
3.26 x 102
Step-by-step explanation:
10 squared is 100
3.26 x 100 = 326 because you move the decimal to the right 2 spots
given that g(x)= -(x-1)^3 , write an expression for h(x) in terms of x
Answer:h(x) =-(x+5)^3
Step-by-step explanation:
Josiah went to the local barber to get his hair cut. It cost $18 for a haircut. Josiah tipped the barber 15%. What was the total cost of the haircut including the tip?
Answer:
$20.7
Step-by-step explanation:
if there are 16 ounces in a pound. how many pounds are in 24 ounces
Answer:
1.5 lbs
Step-by-step explanation:
We know that there are 16 ounces in 1 pound.
To find how many pounds are in 24 ounces, simply divide 24 by 16.
Doing this, you get 1.5 pounds.
During your morning workout, you run for 20 seconds for every 3 seconds you sprint. Determine the constant of proportionality for the ratio between the number of seconds you run and the number of seconds you sprint.
Answer:
Constant of proportionality; k = 20/3
Step-by-step explanation:
Let running be A and sprinting be B.
Now, we are told that you run 20 seconds for every 3 seconds you sprint.
This means that is directly proportional to B and written as; A ∝ B.
Now, constant of proportionality is simply the ratio between 2 quantities that are directly proportional.
Thus, A = kB
Where k is the constant of proportionality
Plugging in the values of A and B we are given, we have;
20 = 3k
Divide both sides by 3 to get;
k = 20/3
A regular pentagon (5 sides) is rotated about its center. By which angle could the pentagon be rotated so that it is mapped onto itself?
A
45 degrees
B
60 degrees
C
72 degrees
D
90 degrees
Answer: Your answer is C, 72 degrees.
Step-by-step explanation:
A pentagon is a polygon with 5 vertices. A polygon can be rotated 360 degrees in total. Since this shape has 5 vertices, it can be rotated on every vertex to get the same figure, or in other words, it being mapped onto itself. Therefore, 360 degrees divided by 5 vertices is 72 degrees.
If 6 bags of chocolate chips are needed to make 86 cookies, how many cookies can 8 bags chocolate chips make?
Answer:
114.666666667
Step-by-step explanation:
Step 1:
6/86 = 8/x Equation
Step 2:
6x = 688 Multiply
Step 3:
x = 688 ÷ 6 Divide
Answer:
x = 114.666666667
Hope This Helps :)
David is building a toy box. Its length will be 4 feet, its width will be 2.5 feet and its height will be 2 feet. What will the volume of the toy box be?
Answer:
the answer to this would be this 20 ft
Step-by-step explanation:
you would this by taking 4 times 2.5 times 2 and you would get the answer of 20 ft for the volume.
An 80 metre long train crosses a 120 metre long platform in 20 seconds, what is the speed of the train per hour?
ans:
Total distance= length of train + length of platform
I.e 80+120= 200 m but need in kmph so 0.2 km
Time = 20 second but need in hours so 20/(3600)= 1/(180)
Speed = distance / time = 0.2*180= 36 kmph
Given that <2=<6.
Which theorem proves that line d is parallel to line e.
A. Alternate interior angle theorem
B.Converse of the alternate exterior angle
theorem
C.Converse of the alternate interior angle
theorem
D.Alternate Exterior angle theorem
Answer: B . Converse of the alternate exterior angle theorem.
The converse of the alternate exterior angle proves that line d is parallel to line e which is the correct answer would be an option (C).
What are Alternate Interior Angles?Alternate Interior Angles are defined as the pair of angles created on the inner side of the parallel lines and on the opposite sides of the transversal when two parallel lines are intersected by a transversal are referred to as alternate internal angles.
According to the alternate exterior angles theorem, if two parallel lines are intersected by a transversal, the alternate exterior angles are congruent. In light of this, the converse of the alternate exterior angle theorem would state that if the two outside angles are congruent, the lines that the transversal cuts must be parallel.
The graph indicates that the outer angles are congruent (both equal x) shows that the lines are parallel.
Therefore, the converse of the alternate exterior angle proves that line d is parallel to line e.
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pls help thanks alot
Answer:
A, C, D
Step-by-step explanation: the side of the > that has the opening is the side that should have the greater number, so if its like answer A its true
How many significant figures are in the number: 9003
Answer:
4
Step-by-step explanation:
Ram bought an article for rs. 148.75. He gave rs. 200 to the shopkeeper. What balance will he get ?
Answer:
his balance will be 51.25 rs.
Step-by-step explanation:
200 - 148.75 = 51.25
Answer:
51.25
Step-by-step explanation:
200-148.75
=51.25
An exotic-animal rancher needs to purchase feed for his unicorns. Unfortunately, commercial unicorn feed is not available. The unicornsrequireat least12 milligrams of zinc, 36 grams of protein, and 24 ounces of carbohydrates per day. A small bagof pegasus feed contains 2 milligrams of zinc, 2 grams of protein, and 2 ounces of carbohydrates, and it costs $25. A small bagof hippogriff feed contains 1milligram of zinc, 9 grams of protein, and 3 ounces of carbohydrates, and it costs $20. How many bags of each should the farmer purchase in order to supply the unicorns with the required nutrients for the lowest cost, and what is the minimum cost?
Constraints:
Objective Formula:
Answer:
Do you go to Carnegie?
Step-by-step explanation:
y-2/3(9x - 3y)
With solution
Answer:
y - (18x - 6y)/3
Step-by-step explanation:
y - (2/3)(9x - 3y)
y - [(2)(9x - 3y)]3
y - (18x - 6y)/3
y + (-18x + 6y)/3
y - 6x + 2y
-6 + 3y
Please help ASAP!! Will give brainliest if correct!!
Given that SR QT and SQ ≈ ST, find the perimeter of QST.
A. 22
B. 27
C. 30
D. 32
Answer:
b
Step-by-step explanation:
Jack owes a total of $24.00 to 6 different friends. If Jack owes each friend an equal amount, which answer choice represents the change in Jack's money when he pays one friend?
Answer:
5555555555555555555225313
Step-by-step explanation:
3
6
554
Answer:
$20.00
Step-by-step explanation:
24.00/6=4 so 24-4=20.00
IA:B 7:8 an B:C 12:7 find A C in its simplest form.
b. 3:2
C. 19:6
a. 2:3
d. 4:5
Answer:
3:2
Step-by-step explanation:
A:B 7:8 an B:C 12:7 find A C in its simplest form.
ans;
3:2
Find the value of x:
To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result. And there ya have it mate.
Susan works part-time in a local video store. Her salary varies directly as the number of hours
worked. Last week she earned $144 for working 16 hours. This week she earned $378. How
many hours did she work this week?
Answer:
Around 2.63
Step-by-step explanation:
144 x 2.63 = 378.72
I would put 2.60, but you do you
What do you multiply 6 by in order to get -3
Answer:
-1/2
Step-by-step explanation:
Another way to write (3x-4)^2?
Dave cleans pools at a constant rate of 2/5 pools per hr what is the ratio of the number of pools he cleans to the number of hours
How many pools can dave clean in 20 hrs
Answer:
For every 1 hour he cleans 2/5 pools, so the ratio of pools to hours is 0.4:1
In 20 hours, Dave can clean 2/5 • 20 = 8 pools.
8.51348434552 to 3 decimal places
Answer:
8.513
Step-by-step explanation:
The round off to the number at three decimal places will be 8.513.
What is rounding off the numbers?When a number is rounded off, its value is maintained but is brought closer to the next number, simplifying the number. For entire numbers as well as decimals at different places of hundreds, tens, tenths, etc., it is done.
A number can be rounded off to its lower value if the number after the decimal is between 0 and 4. The number will be rounded off to its higher value if the number after it is between 5 and 9.
The round-off to the number 8.51348434552 to the three decimal places will be 8.513.
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Last year the original prices of Emma's and Sophie's phones were $560 and $640. Now the prices reduced in ratios 7:6 and 4:3 respectively. What is the difference of the current prices?
What is 2. 1.
— • —?
3. 2
Simplify to the lowest terms.
PLEASE HELP ASAP!! 20 points!!!
A. 1
—
6
B. 1
—
4
C. 1
—
3
D. 1
—
2
Answer:
a is the answer
Step-by-step explanation:
What is (2n-9)-5(-2.4n+4)?
Select each transformation that carries a square onto itself.
A
A rotation of 180 degrees clockwise about one of the square's vertices.
B
A rotation of 90 degrees clockwise about the square's center.
C
A reflection over one of the square's sides.
D
A rotation of 180 degrees clockwise about the square's center.
E
A reflection over one of the square's diagonals.
Answer: E B D
Step-by-step explanation: I did a test
Transformation involves moving a shape from one position to another. The transformation that carries the square onto itself is:
A rotation of 90 degrees clockwise about the square's center. A rotation of 180 degrees clockwise about the square's center. A reflection over one of the square's diagonals.For the square to carry itself onto itself, it must either be rotated or reflected.
For reflection:
It must be reflected across any of its diagonalFor rotations:
It must be rotated through its center, around multiples of 90 degrees (i.e. 90, 180, 270, 360.....)Hence, the correct options are: B, D and E
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Graph the equation 2x−y=9 by plotting points.
Answer:
y=2x-9
Step-by-step explanation:
2x-y=9
-2x -2x
-y=-2x+9
-y/-y= -2x/-y+9/-y
y=2x-9
The required graph of equation 2x - y = 9 by plotting points is attached below.
To graph the equation 2x - y = 9 by plotting points, we can choose different values of x, solve for y, and then plot the corresponding points.
Here is a table of values:
x | y
0 | -9
1 | -7
2 | -5
3 | -3
4 | -1
5 | 1
Using these values, we can plot the points (0, -9), (1, -7), (2, -5), (3, -3), (4, -1), and (5, 1) on a graph.
The x-axis represents the values of x, and the y-axis represents the values of y. Connect the plotted points with a straight line to represent the equation 2x - y = 9.
Thus, the required graph of equation 2x - y = 9 is attached below.
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A monkey is swinging from a tree. On each swing, she travels along an arc that is 75%, percent as long as the previous swing's arc.
Answer:
The Total length of the first swing=64 m.
Step-by-step explanation: