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. If the two trains are 480 miles apart after 3 hours, what is the rate of the eastbound train?
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.
Learn more about speed here:
https://brainly.com/question/28224010
#SPJ1
Triangle ABC is an obtuse triangle with the obtuse angle at vertex B. Angle A must be
less than 90°.
greater than 90°.
congruent to angle B.
congruent to angle C.
Maggie makes 18 muffins. She is making them for her book group, which has 12 members. If she divides the muffins equally, how many will each person get?
Answer:
1.5
Step-by-step explanation:
18/12=1.5
Write 3.6 x 10^-3 in standard form.
Answer: 33
Step-by-step explanation: hope this helps
What is one third of 1296?
Answer:
four hundred thirty-two
Step-by-step explanation:
one third of 1296 is same as = ⅓ of 1296
⅓ of 1296 is same as = ⅓ × 1296
= ⅓ × 1296
= 1 × 1296 / 3
= 1296/3
Let us try to simplify this fraction . Both the numerator and the denominator is divisible by 3 .
Then ,
= 1296 ÷ 3 / 3 ÷ 3
= 432/1
= 432
Therefore , one third of 1296 is 432
A couple realizes a real estate financing of R $ 180,000.00, to be paid in 360 monthly installments, with an effective interest rate of 1% per month. The first installment is paid one month after the funds are released and the monthly installment is R $ 500.00 plus 1% interest on the outstanding balance (amount due before payment). Note that, with each payment, the outstanding balance is reduced by R $ 500.00 and consider that there is no arrears. By making the payment in this way, the amount, in reais, to be paid to the bank in the tenth installment is
a) 2,075.00.
b) 2,093.00.
c) 2,138.00.
d) 2 255.00.
e) 2 300.00.
Answer:
ANSWER: letter D
Step-by-step explanation:
In the tenth installment, the debit balance is, in reais, of
180000 - 9. 500 = 175500
The 1% interest on this amount results in:
1% . 175 500 = 1755
Thus, the tenth installment is, in reais, 500 + 1755 = 2255
What do the factors in the factored form represent?
Answer:
The factored form tells you the times at which the object's height is zero (the roots). ... Write the equation for this parabola in vertex form, factored form, and general form. From the graph you can see that the x-intercepts are 3 and 5. So the factored form contains the binomial expressions (x 3) and (x 5).
Step-by-step explanation:
could u answer my newest question? ive been stuck on it for hours
The mean (average) of 4 numbers is 88.
What is the fourth number if three of the numbers are 80, 95, and 85
A 32
B. 54
с. 75
D. 99
E none of these
Answer:
E non of the above
Step-by-step explanation:
To get the original number you multiply 88 by 4
Then you add 80, 85 and 95 and then minus it from the original number
You should end up with 352 minus 260
Therefore the answer would be 92 and not a given answer so your answer is e: none of the above
Which inequality is graphed below?
Answer:
the first one
x is greater than or equal to - 4
Step-by-step explanation:
Find the slope in fraction form
Answer:
-1/3
Step-by-step explanation:
Taking two points on the graph (I took (0,9) and (6,7)
Slope=(y2-y1)/(x2-x1)
(7-9)/(6-0)=-2/6
=-1/3
-9x + 1 = - 80 Find the value of x
Answer:
Step-by-step explanation:
80+1=9x
81=9x
x=9
Step by step explanation:
Step 1:
→[tex]-9x + 1 = - 80[/tex]
Step 2:
→[tex] - 9x = - 80 - 1[/tex]
Step 3:
→[tex] - 9x = - 81[/tex]
Step 4:
→[tex]x = \dfrac{ - 81}{ - 9} [/tex]
Step 5:
→[tex]x = 9✓[/tex]
2. measure of an angle that is supplementary to
Select all the angles that are
congruent to 6.
A 1 C 3 E 7
B 2 D 4 F 8
NEED HELP QUICK!
3) Line A is represented by the equation y=1/4x + 5. Write in slope-intercept form the equation
of a line that is parallel to Line A and passes through the point (8, -2)
A) What is the slope of (m) of the parallel line?
B) What is the point on the parallel line?
C) Write the equation in Point-slope form.
D) Solve the above point-slope form equation for slope-intercept form (y=mx+b). Show your work.
Alright so..
A. M=-4
B. (8, 2)
C. Y-2=-4(x-8)
and i don't know about the last one
You pay $25 each month for satellite TV, plus $1.50 for every movie you purchase. Write and solve an equation to find the number of movies purchased during a month with a total bill of $38.50
Answer
9 movies
Step-by-step explanation:
$25 - 38.50 = $13.50
13.50/ $1.50 = 9
HELP PLEASE Which equation shows a proportional relationship between x and y?
y = 4x
y=−3x−2
y = 3x + 1
y = 9
Answer:
y = 3x + 1 I think........
Find the GCF of 28p4 and 44p2q.
Evaluate using the order of operations. Enter the answer in simplest form.
3/5+1/7÷3
Answer:
0.64761904761
Step-by-step explanation:
Last year a sports team made $2,000,000 in profit, and this year it increased its profits
to $2,500,000. How much money was made on food sales in both years based on how
the sports team makes its profits:
• Programs: 15%
• Food: 40%
• Souvenirs: 25%
• Tickets: 20%
1,000,000
2,500,000x0.4 (40 as a decimal) = 1,000,000
which of the following functions has a range of all real numbers?
Answer:
c
Step-by-step explanation:
The dots cannot intersect
-1/2(-2x+4y) someone expand this pls
Answer:
-1/2(-2x+4y)=
x-2y
What is the quotient of (-55) divide by 5?
Answer:
11
Step-by-step explanation:
✨Answer:✨
-11
✨Step-by-step explanation:✨
-55 ÷ 5 = -11
(Just take the negative sign away and divide)
Please help i will give brainliest
find the value of x in the proportion 4/7 = x 56 pls help!!
Answer:
98
Step-by-step explanation:
4=x56×7
4=x392
392/4=X
98
iTunes charges a one time fee of $10 and $ 1 per song . Spotify charges a one time fee of $20 and $0.50 per song. After how many songs will the Spotify membership pay off and in the long run cost you less ?
Answer:
7
Step-by-step explanation:
Help easy question......Branliest reward
Answer:
78
Step-by-step explanation:
Answer:
y=42.91
Step-by-step explanation:
cos 35=y/53
0.81=y/53
y=0.81*53
y=42.91
Express missing divisor using power of 10.
6.3 / ____= 0.0063
Which function defines the sequence 6,8,10,....?
(5 Points)
f(n)=2n+4
f(n)=3n+2
f(n)=6n
Answer:
f(n)=2n+4
Is the answer
Arthur is building a rectangular sandbox for his son. The area of the sandbox is 17 23/32
sandbox is 3 3/8feet, what is the width of the sandbox?
Answer:
The answer is 5 1/4 feet
Robin can clean 727272 rooms in 666 days. how many rooms do she clean in 9 days
Answer:
Robin can clean 9828 rooms in 9 days
Step-by-step explanation:
Since Robin can clean 727272 rooms in 666 days, we can find how many rooms she can clean in 1 day by dividing 727272 by 666
number of rooms cleaned by Robin in 1 day = 727272 rooms/666 days = 1092 rooms/day
We can then find how many rooms she can clean in 9 days by multiplying 1092 by 9
1092 rooms/day * 9 days = 9829 rooms