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.
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Which inequality is graphed below?
Answer:
the first one
x is greater than or equal to - 4
Step-by-step explanation:
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
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
Express missing divisor using power of 10.
6.3 / ____= 0.0063
-1/2(-2x+4y) someone expand this pls
Answer:
-1/2(-2x+4y)=
x-2y
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........
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.
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
Write 3.6 x 10^-3 in standard form.
Answer: 33
Step-by-step explanation: hope this helps
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
Evaluate:
54 - 75 + 81 - (-27) + 53
market research firm conducts telephone surveys with a historical response rate. What is the probability that in a new sample of telephone numbers, at least individuals will cooperate and respond to the questions
Answer:
0.8461
Step-by-step explanation:
The question didn't state any value, so I assumed some of my own.
You can check your notes, and change the values to that of your own, it's the same method.
Given that
The market research firm conducts survey with 40% historical response rate.
The total number of sample is used is 400
The total number of individuals expected to cooperate is 150
What is the probability that the sample proportion would be 150/400 or 0.375..
See attachment for calculation.
PLEASE HELP I BEG YOU!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
R1: Given
R2: Subtraction Property of Equality
R3: Distribute Property
R4: Addition Property of Equality
R5: Division Property of Equality
Write a paragraph proof for the following conjecture: m∠1 + m∠2 = m∠4
Prove: m∠3 + m∠1 + m∠2 = 180°
Given: ∠1 + ∠2 = ∠ 4
∠4 + ∠3 must be 180° because they are supplementary
If ∠4 + ∠3 is 180, and ∠1 + ∠2 = ∠4, you can substitute ∠4 in the first equation for ∠1 + ∠2.
Hence, we arrive at the answer ∠1 + ∠2 + ∠3 = 180.
Plz mark brainliest:)
Please help i will give brainliest
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
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
Evaluate using the order of operations. Enter the answer in simplest form.
3/5+1/7÷3
Answer:
0.64761904761
Step-by-step explanation:
Select all the angles that are
congruent to 6.
A 1 C 3 E 7
B 2 D 4 F 8
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
3. Reason Can you write
3+ 4+ 7 = 14 as a multiplication
sentence? Explain.
Answer:
3 + 4 + 7 = 14
7 + 7 = 14
2(7) = 14
Step-by-step explanation:
John earns $437 a week after a 15% pay rise. What was his pay initially? Round your answer to the nearest dollar.
Answer:
380 dollars
Step-by-step explanation:
John earns $437 a week after a 15% pay rise.
Let the initially pay of John be x
x + (15% of x) = 437
x + 0.15x = 437
1.15x = 437
x = \frac{437}{1.15}
1.15
437
x = 380
if Billy has three and four fifths of cake and Sam eats 2/3 of it how much cake does Billy have left
Answer:
3 and one third
Step-by-step explanation:
(3 1/3)
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
2. measure of an angle that is supplementary to
-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]
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
You track inventory at a furniture store. On Monday, the delivery truck delivers 15 new mattresses. Your team sells seven mattresses on Monday, two mattresses on Tuesday, zero on Wednesday, and five on Thursday. You receive a new order Friday morning of 15 mattresses. How many mattresses do you now have available?
Answer: 16
Step-by-step explanation: You started with 15 , you lose 7 Monday which leaves you with 8 , 2 on Tuesday which leaves you with 6 , 5 on Thursday which leaves you with 1 and then you received 15 on Friday which brings you to 16
The number of mattresses available now is 16.
Given that, On Monday, the delivery truck delivers 15 new mattresses. Number of mattresses sold on Monday=7, number of mattresses sold on Tuesday=2, number of mattresses sold on Wednesday=0, and number of mattresses sold on Thursday=5.
What is an equation?Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side). Equations can be solved to find the value of an unknown variable representing an unknown quantity.
Let number of mattresses do you now have available be x.
Given that, receive a new order Friday morning of 15 mattresses.
So, x=15-(7+2+0+5)+15
=30-14=16
Therefore, the number of mattresses available now is 16.
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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
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: