The rate of the passenger train must be 45 miles per hour, and the rate of the freight train must be 30 miles per hour.
Let's denote the rate of the passenger train as "P" and the rate of the freight train as "F". We are given that the passenger train's rate exceeds the freight train's rate by 15 miles per hour. Therefore, we can write the following equation:
P = F + 15
We are also given that the two trains start from points that are 300 miles apart and meet after 4 hours. We can use the formula distance = rate × time to set up two equations:
Distance covered by the passenger train: P × 4
Distance covered by the freight train: F × 4
Since they meet each other, the sum of their distances should add up to 300 miles:
P × 4 + F × 4 = 300
Substituting P = F + 15 into the equation, we can solve for F:
(F + 15) × 4 + F × 4 = 300
4F + 60 + 4F = 300
8F = 240
F = 30
Now that we have the rate of the freight train, we can substitute it back into the equation P = F + 15 to find the rate of the passenger train:
P = 30 + 15
P = 45
Therefore, the rate of the passenger train must be 45 miles per hour, and the rate of the freight train must be 30 miles per hour.
For such more questions Train Rates
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30 Points I NEED HELP ASAP MATH PROBLEM 7th Grade
Answer:
-45 =x
Step-by-step explanation:
1/5(4x-2.5) = 5(.4x+10) +3 1/2
Change all to decimal form
.2(4x-2.5) = 5(.4x+10) +3.5
Distribute
.8x - .5 = 2x +50 + 3.5
Combine like terms
.8x - .5 = 2x +53.5
Subtract .8x from each side
.8x-.8x - .5 = 2x-.8x +53.5
-.5 = 1.2x +53.5
Subtract 53.5 from each side
-.5 -53.5 = 1.2x +53.5-53.5
-54 = 1.2x
Divide each side by 1.2
-54/1.2 = 1.2x /1.2
-45 =x
A system of linear equations is graphed.
Which ordered pair is the best estimate for the solution to the system?
(0, −6.5)
(2, −6.5)
(−1.5, 0)
(2.5, −6.5)
Answer:
(2, −6.5)
Step-by-step explanation:
The solution to a system of equations is where they intersect
They intersect near x = 2 y = -6.5
Answer:
(2, −6.5)
Step-by-step explanation:
WILL GIVE BRAILIEST!!!
Answer:
Step-by-step explanation:
6^4*612/6^7
6^4*6^12-7
6^4*6^5
6^4+5
6^9
Which number sentence can be solved using this multiplication fact?
Answer:
The girl bought 5 apples, how many apples does she have after 6 times
(Did you mean to put as the multiplication fact 5x6=30?) sorry if I'm wrong
Step-by-step explanation:
Hope this helps.
Please mark Brainliest!
Look at the two 2s in this number
Answer: What number?
Step-by-step explanation:
Answer:
In what number... is this a trick question or did you just not finish your question??
Step-by-step explanation:
Tiffany withdrew $20 on fourteen different occasions from her bank account. After the fourteen transactions, what integer represents the change to her bank account balance?
Answer:
$-280
Step-by-step explanation:
Tiffany withdrew $20, 14 times. a withdrawal means the amount in her account would reduce.
total change in balance = 20 x 14 = 280
because it is a withdrawal, a negative sign would be attached
Answer: -280
Step-by-step explanation:
China consumes 4 x 10^9 tons of coal, while japan about 2 x 10^8 tons of coal. Approximately how many times the amount of that japan consumed did china consumed
Answer:
20 times
Step-by-step explanation:
This is calculated as:
The number of coal China consumes ÷ The number of coal Japan consumes
The number of coal China consumes =4 × 10⁹
The number of coal Japan consumes
= 2 × 10⁸
4 × 10⁹/2 × 10⁸
= 20 times
18. What is the greatest common factor of the terms 6q^5 – 21q^4 - 15q^2
A. 3q^2
B. 6q^2
C. 3q
D. 2q^2
Answer:
A. 3q^2
Step-by-step explanation:
Find the prime factors of each term in order to find the greatest common factor (GCF).
In a scale drawing of a house, 1/2 inch = 1 1/2 feet. If the length of a kitchen is 5 1/2 inches on a scale drawing, what is the actual length of the kitchen?
Answer:
16 1/2 feet
Step-by-step explanation:
The above question is calculated as:
1/2 inch = 1 1/2 feet.
5 1/2 inches = x
Cross Multiply
1/2 inch × x = 5 1/2 inch × 1 1/2 feet
x = 5 1/2 inch × 1 1/2 feet/ 1/2 inch
x = 11/2 × 3/2 ÷ 1/2
x = 11/2 × 3/2 × 2/1
x = 33/2 feet
x = 16 1/2 feet
Therefore, the actual length of the kitchen is 16 1/2 feet
Find the slope
(-5,2) (-12,-11)
Answer:
m= 13/7
Step-by-step explanation:
(-5, 2) , (-12, -11)
Slope(m)
m= (y2-y1)/(x2-x1)
m= (-11 - 2)/(-12 + 5)
m= (-13)/(-7)
m= 13/7
What is 4³ written in expanded form?
Answer:
4³=4*4*4 is a required expanded form.
Nine chips numbered 1 through 9 are placed in a box and mixed. Margie selected one chip from the box. What is the probability that Margie selected a chip that is a multiple of three?
Answer: [tex]\dfrac{1}{3}[/tex]
Step-by-step explanation:
Given
There are 9 chips numbered 1 to 9 placed in a box
Margie selected one chip from the box
If the chip is multiple of 3 then the chip can be 3, 6, or 9
So, the probability associated with this is
[tex]\Rightarrow P=\dfrac{\text{favorable}}{\text{Total}}\\\\\Rightarrow P=\dfrac{3}{9}\\\\\Rightarrow P=\dfrac{1}{3}[/tex]
Graph the system of equations, and determine the solution.
x+5y=5
2x+10y=60
Step-by-step explanation:
the systems have no solution
the lines are parallel each other
graph as attached
Help me with this please
someone pls help!! NO LINKS AND ONLY ANSWER IF U KNOW!! i’ll report u if u do either. pls explain well too
Answer:
can u please send the question again with clear picture of diagram?
someone help me it's due today
Answer:
y=2x+6
Step-by-step explanation:
y=2x+6 you are welcome!!
The Science Club went on a two-day field trip. The first day the members paid $50 for transportation plus
$18 per ticket to the planetarium. The second day they paid $95 for transportation plus $15 per ticket to
the geology museum. Write an expression to represent the total cost for two days for the n members of
the club.
An expression that represents the total cost in dollars for two days for the n members of the club is given
by
HARD! [Ma
Answer:
145 + 33n
Step-by-step explanation:
Let
n = number of members in the club
Day 1:
Cost = 50 + 18n
Day 2:
Cost = 95 + 15n
Total cost two-day field trip = day 1 + day 2
= (50 + 18n) + (95 + 15n)
= 50 + 18n + 95 + 15n
= 145 + 33n
Total cost two-day field trip = 145 + 33n
An expression that represents the total cost in dollars for two days for the n members of the club is given by 145 + 33n
An aquarium is 8 feet long, 5 feet wide, and 3.4 feet deep. What is the volume of the tank?
Answer:8x5x3.4= 132 feet squared
Step-by-step explanation:
KLM is isosceles. Calculate the segment EF from the data in the drawing.
HELP!!
Answer:
4.5 cm
Step-by-step explanation:
KL = LM as triangle is isosceles
LM = KM as LF = FM = KN = NM, so the triangle is equilateral
EF ║ NM as LE⊥EF and LN⊥NM
EF is half the midsegment as ∠KLN ≅ ∠MLN, and LN is angle bisector of ∠KLM
Midsegment is half the side length, and all sides are 18 cm.
EF = 1/2(1/2*18) = 4.5 cm
hey! i’ll give brainliest help thanks
Answer:
A government by the people
Step-by-step explanation:
Solve the rational equation:
9/x + 1/4 =2/x
Answer:
D, x=-28
Step-by-step explanation:
Answer:
[tex]x=-28[/tex]
Step-by-step explanation:
[tex]\frac{9}{x} +\frac{1}{4} =\frac{2}{x}\\[/tex]
Move [tex]\frac{9}{x}[/tex] over the equal sign
[tex]\frac{1}{4} =\frac{2}{x} -\frac{9}{x}[/tex]
[tex]\frac{1}{4} =\frac{-7}{x}[/tex]
Cross multiply
[tex]4*-7/x[/tex]
[tex]\frac{-28}{x}[/tex]
[tex]x=-28[/tex]
Hope this is helpful
∠A and ∠ B ∠B are complementary angles. If m ∠ A = ( 3 x + 25 ) ∘ ∠A=(3x+25) ∘ and m ∠ B = ( 5 x − 7 ) ∘ ∠B=(5x−7) ∘ , then find the measure of ∠ A ∠A.
Answer:
52º
Step-by-step explanation:
Complementary angles are a set of angles that add up to 90º. Knowing this, we can find the value of x by setting the sum of these two angles equal to 90. For example:
3x + 25 + 5x - 7 = 90
8x + 18 = 90
8x = 72
x = 9
Now that we know our x value, we can find the measure of angle A. Simply plug in the value of x to the measurement of angle A, which is 3x + 25.
3(9) + 25 = 52º
Item 4
Find the surface area of the prism.
The surface area is
a
square feet.
Answer:
xnxnxnzznchamschdntjekdfurnthsjdnfjdjdjdkdkr
Step-by-step explanation:
xmxmxnxmxmxnxmxnxndmsndfhakxufmrjdkxddjrf7sjrifxisufkf8dhrkfdkshgshdbfjdddnfjfkdnfmcmcmdmdkfkfkkfdkfkfkfkfkfkfkfkkfkfkfkfkfkdkdkdmdkdkdkdkdmdmrmddmrm1520195126152019512615201951261520195126152019512615201951261520195126152019512615201951261520195126152019512615201951261520195126152019512615201951261520195126152019512615201951261520195126152019512615201951261520195126152019512615201951261520195126152019512615201951261520195126152019512615201951261520195126
What are the coordinates of the point on the directed line segment from (-3, -2) to (4, 8) that partitions the segment into a ratio of 3:2?
Answer:
Since the ratio is 3:2, you will need to find the x and y coordinates that are 3/5 of the way between (-8,2) and (7,-3)
For the x-coordinate, find the distance between x coordinates (7--8) = 15, take 3/5 of that = 9 and add that to the first x coordinate (-8) to get the x-coordinate of interest (1).
For the y-coordinate, find the distance between y coordinates (-3-2) = -5 take 3/5 of that = -3 and add that to the first y coordinate (2) to get the y-coordinate of interest (-1
So the coordinate of the point is (-2,6)
Step-by-step explanation:
If −15 + 3x = −7 + 5x, then 6x =_____?
Answer:
-15+3x=-7+5x
-15+7=5x-3x
-8=2x
-8/2=x
-4=x
6x=6*-4
=-24
Step-by-step explanation:
Answer:
[tex] - 15 + 3x = - 7 + 5x \\ 3x - 5x = - 7 + 15 \\ - 2x = + 8 \\ - x = 4 \\ x = - 4 \\ therefore = \\ 6x = 6 \times ( - 4) \\ 6x = - 24 \\ i \: hope \: this \: was \: helpful[/tex]
Points A, B, C, and D are the vertices of a square. Points E and F are the center of two congruent semicircles that are tangent to each other at point G. Which value is closest to the area of the shaded regions?
Answer:
8 sq units
Step-by-step explanation:
to find the area of shaded region:
area of square minus sum of areas of each semi-circle
A(square) = 6² = 36
A (semi-circle) = πr²/2
= π3²/2
= 4.5π
Since there are two semi-circles, that makes one complete circle with an area of 9π
A(circle) ≈ 28 sq units
36-28 = 8 sq units
Please help, thank you!
Answer:
D
Step-by-step explanation:
The very first thing you have to realize is that the temperature goes further down the minus scale which means that only A and D can be correct. That's because time in this question is positive.
So if you just try the first value (x = 3), you will get
-3/2 * 3 = -9/2 which would mean that you would add -4 1/2 onto - 10 which is much larger than - 10
A: is not the answer.
-2/3 * 3 - 10 = -6/3 - 10 = -2 - 10 = - 12
That is the answer you should get. The answer is D.
Can someone help me please
it's sideways take a better pic
Hamdan bought a TV for 40000 and sold it for 32000. What is the profit/loss percentage
Answer:
20% loss
Step-by-step explanation:
(32000-40000)/40000 * 100 = -20%
Answer:
Step-by-step explanation:
CP of a TV=40000
Sp of a TV=32000
here CP is greater than Sp so there is loss
loss=CP-SP
=40000-32000
=8000
loss%=loss amount/cp*100%
=8000/40000*100
=800000/40000
=20%
(7.5)What is the value of x?
X
オー2
x + 5
x + ]
A
7.5
B.
10
C
2.5
D
5
Answer:
D 5
Step-by-step explanation:
the same scaling factor s applies to all sides when transforming from the small to the large triangle.
x×s = x + 5
(x-2)×s = x +1
=> s = (x+5)/x
=> (x-2)×(x+5)/x = x + 1
=> x² + 3x - 10 = x² + x
=> 3x - 10 = x
=> 2x = 10
=> x = 5