Two trains leave towns 566 kilometers apart at the same time and travel toward each other. One train travels 11 km/h slower than the other. If they meet in 2 hours, what is the rate of each train?
Answers
Answer:
The speeds are 74 mph and 87 mph.
Step-by-step explanation:
Let x = speed of slower train
x + 13 = speed of faster train
The trains meet when the sum of the distances = 483
3x + 3(x+13) = 483
6x + 39 = 483
6x = 444
x = 74 mph
The speeds are 74 mph and 87 mph.
Related Questions
Find the slope of the line that contains the points (-9, -3) and (-19, -3).
Answers
Answer:
Slope (m) = 0
Step-by-step explanation:
We will use this formula to find the slope⤵⤵⤵
[tex] \frac{y _{2} - y _{1} }{x _{2} - x _{1} } [/tex]
(Sorry if it's a bit small btw)
Now we plug in the values accordingly:
-3 - (-3) = -3 + 3 = 0
-19 - (-9) = -19 + 9 = -10
Slope = 0/-10
So we have 0/-10, which means our slope is actually just 0.
(This also means that the line on the graph will be horizontal.)
Hope this helps you :)
help
me
please
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really
need
help
Answers
Answer:
16/35 chapters per hourStep-by-step explanation:
Set a ratio:
7/8 hours ⇒ 2/5 chapters1 hour ⇒ x chaptersFind the value of x by cross-multiplication:
x = 1 × 2/5 ÷ 7/8x = 2/5 × 8/7x = 16/35Find the sum 52,679 + 3,596
Answers
Answer:
56,275
Step-by-step explanation:
Alf needs to borrow $15,000 to pay for his college tuition. He can borrow the money from his
parents at a rate of 3.55% interest compounded annually for 4 years, or he can borrow from his
local bank at a rate of 3.50% interest compounded continuously for 4 years
Manipulation of Numerical Data
Answers
Alf would prefer to borrow from his parents because their rates are more favourable.
The future value of the loan if he borrows from his parents is given by this formula: A(1 + r)^n
Where:
A = amount
R = interest rate
N = number of years
$15,000(1 + 0.0355)^4 = $17,246.13
The future value of the loan if he borrows from the local bank is given by this formula: : A x e^r x N
Where:
A= amount e = 2.7182818 N = number of years r = interest rate$15,000 x 2.7182818^0.035 x 4 = $62,137.18
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find the slope and y intercept of y = -2x -18
Answers
Answer:
Slope = -2
y-intercept = -18
Step-by-step explanation:
In y=mx+b, m is the slope and b is the y-intercept. With that being said, this will mean that -2 is the slope and -18 is the y-intercept.
Hope this helps you :)
fast hurry no link no bot please right
Answers
9514 1404 393
Answer:
(d) 972π in³
Step-by-step explanation:
The formula for the volume of a sphere is ...
V = 4/3πr³
The sphere has a diameter of 18 in, so a radius of 9 in. Its volume is ...
V = (4/3)π(9 in)³ = (4/3)729π in³ = 972π in³
The container can hold 972π in³ of water.
Which lines are parallel? Why?
A) No lines are parallel
B) a || b by the same side interior angles
C) c || d by the same side interior angles
D) c || d by the converse of the same side interior angles
E) a || b by the converse of the same side interior angles
Answers
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The correct Choice is ~ D
a || b by the converse of the same side interior angles
HELP PLS
Answers
Answer:
the anser is the first one
A submersible is a type of underwater vessel. Suppose a submersible starts at a depth of 40 feet below sea level, represented by –40 feet. The table shows the submersible's change in depth from one minute to the next. Time and Depth of Submersible
2:15 p. m. 2:16 p. m. 2:17 p. m. 2:18 p. m.
–40 feet 180 feet lower 175 feet lower 185 feet lower
Answer the questions to find the depth of the submersible after 3 minutes.
1. Write and evaluate a subtraction expression to find the depth of the submersible at 2:16 p. m.
Write your answer in the space below.
2. Write and evaluate a subtraction expression to find the depth of the submersible at 2:17 p. m.
Write your answer in the space below.
3. Write and evaluate a subtraction expression to find the depth of the submersible at 2:18 p. m.
Write your answer in the space below.
4. If the submersible dove straight down, what is the distance between the submersible's starting position at 2:15 and its position at 2:18? Show your work.
Write your answer in the space below.
Answers
Step-by-step explanation:
1. -40 - 180 = -220
2. - 40 - 180 - 175 = -395
3. -395 - 185 = -580
4. starting position of submersible at 2:15 = -40
position at 2:18 = -580
therefore, their distance = -580 -(-40) = -540.
HOPE THIS ANSWER HELPS YOU!
What is the value of x in the diagram below? 49 14 2 O A. 7 OB. 8 O C. 9 D. 6
Answers
Answer:
just answered
Step-by-step explanation:
The value of x in the given diagram is 7 because the two triangles are similar
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
The given two triangle are similar
Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .
Let us form a proportional equation to find x
49/x=14/2
49/x=7
49/7=x
We get x=7
Hence, the value of x in the given diagram is 7 because the two triangles are similar
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........help........
Answers
Answer:
C
GIVE ME THE POINTS YES
41=12d-7 what is the value of d in this equation
Answers
Answer:
d= 4
Step-by-step explanation:
geomtry plzzzz help 15 points
Answers
Step-by-step explanation:
RV = QV but also = PV = 26
because RVQ and RVP are both isoceles triangles.
TR = QR/2 = 24/2 = 12
because T is the middle point of RQ.
Hey That last question is A LOT OF POINT'S
Answers
Answer:
1. 7x
2. 8x - 1
3. 12 + 6x
4. 4 - 7x
5. 13x - 7
Step-by-step explanation:
evaluate the expression when c=-3/4 and x=2/3
c-2x
Answers
Answer:
-2.0833333333333333333
Step-by-step explanation:
I used demos scientific
5. Aaron sold 126 boxes of cookies. This is 14 more than twice the
number of boxes his sister, Victoria, sold. How many boxes of
cookies did Victoria sell?
Answers
Answer:
112
Step-by-step explanation:
Aaron = y
Victoria = x
y = 14 +x
126 = 14 + x
x = 112
Victoria sold 112 boxes of cookies
I WILL GIVE BRAINLIST IF ALL ANSWERED CORRECTLY
Injured runners train on a special track at a rehabilitation center. The track is a square with a half circle on its left and right sides. The area of the square is 128 square feet. What is the length of the track? Use the table to help you answer the questions.
Square 11.02 11.12 11.22 11.32 11.42 11.52
Value 121.0 123.2 125.4 127.7 130.0 132.3
Square 11.62 11.72 11.82 11.92 12.02
Value 134.6 136.9 139.2 141.6 144.0
1. Fill in the blanks to complete the description of the track. (2 points)
The track has ____ sides of the square and the distance around ____ complete circle(s).
2. The length of one side of the square is the square root of its area. Use the table to find the approximate length of one side of the square. Explain how you used the table to find this information. (2 points)
3. Use your answers above to find the total length of the part of the track that is made up of sides of the square. (2 points)
4. The circumference of (distance around) a circle is π times the diameter, or C = πd. A side of the square is the diameter of each half circle.
In your answer to question 1, you gave the number of complete circles included in the track. Use this answer and C = πd to find the approximate length of the circular part of the track to the nearest tenth of a foot. Use 3.14 for π and show your work. (2 points)
5. Find the approximate length of the track, including the straight and circular sections. (2 points)
Answers
Answer:
The length of the track is approximately 51.7 ft
The track has three sides of the square and the distance round a half of a complete circle
Step-by-step explanation:
The given track shape and measurements are;
The shape on the left side of the track = Square
The shape on the right side of the track = Half circle
The area of the square on the the left side of the track = 128 square feet
Therefore, from the area, A, of a square of side length, s, which is s × s, and letting the side length of the square = s, we have;
Area of the square portion of the track = s × s = s² = 128 ft²
Therefore, s = √(128 ft²) = 8·√(2) ft.
Whereby the side length of the square is bounded by the diameter of the half circle, we have;
Length of the diameter of the half circle = s = 8·√(2) ft.
The length of the perimeter of the half circle = π·D/2 = π × 8·√(2)/2 = π × 4·√(2) ≈ 17.77 ft.
The perimeter of the track, which is the length of the track is made up of the three sides of the square opposite to the half circle and the circumference of the half circle.
Therefore;
The length of the track = 3 × 8·√(2) ft + π × 4·√(2) ft. = 4·√2×(π+6) ≈ 51.7 ft
The length of the track ≈ 51.7 ft
Which gives;
The track has three sides of the square and the distance round a half of a complete circle.
someone please please help me
Answers
Answer:
11
Step-by-step explanation:
Please help! Only answer if correct.
Answers
After driving x miles, the first plan costs
60 + 0.70x
dollars, while the second plan costs
0.80x
dollars.
The plans cost the same when these prices are equal:
60 + 0.70x = 0.80x
Solve for x :
60 = 0.80x - 0.70x
60 = 0.10x
x = 60/0.10
x = 600
Sally I went to the store and when is it by potato she noticed a sign that said six potatoes cost nine dollars
Answers
Answer:
Sally shouldn't be alone she has down syndrome.
Step-by-step explanation:
determine the value of x in each triangle
Answers
Answer:
180
Step-by-step explanation:
Subtract the sum of the two angles from 180 degrees.
Se mezcla café del tipo A de 6 €/kg con café del tipo B de 4,5 €/kg para obtener una mezcla de 60 kg a 5 €/kg. ¿Cuántos kilogramos de café debemos tomar de cada tipo?
Answers
a recipe calls for 2 1/3 cups of sugar. you wanna double your recipe how many cups of sugar do you need?
Answers
Answer:
4 2/3
Step-by-step explanation:
What is the value of the expression blow
-8+19+8
A.0
B.11
C.19
D.35
Answers
Answer:
C.19
Step-by-step explanation:
-8 and +8 cancel out leaving only the 19
Find the product. Simplify your answer.
(3p–2)(4p–1)
Answers
there you go the answer is in the picture
I need help with elementary statistics
Answers
What is the solution to -5m = -40?
A. m = -8
B. m = 200
C. m = -200
D. m = 8
Answers
-5m= -40
-5/-5m=-40/-5
M=8
A secured loan would most likely be used to pay for
A. college
B. a car
C. groceries
D. a phone
Answers
A secured loan would most likely be used to pay for a car, the correct option is B.
We are given that;
The four options
Now,
A secured loan is a loan that is backed up by collateral pledged by the borrower, such as a car or property.
The lender can sell the collateral to cover repayment of the loan if the borrower defaults.
Car, since it is a common type of collateral for secured loans.
College, groceries and a phone are less likely to be used as collateral for secured loans, since they are either intangible, perishable or low-value assets.
Therefore, by loan the answer will be car.
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Select the best answer.
sin(3pi/3 + x) =
• sinx
• -sinx
• -cosx
• cosx
Answers
Answer:
-sin x
Step-by-step explanation:
sin(3π/3+x)=sin (π+x)=-sin x
or
sin (π+x)=sin πcos x+cos π sin x=(0)cos x+(-1)sin x=0-sin x=-sin x
can someone help with this
Answers
Step-by-step explanation:
A. n is the number of persons excluding chaperones
B. The equation describes the situation where the total admission cost at orchard A is equal to that of B. (This happens at n=17 persons)
C. For which number of persons is orchard A cheaper than orchard B? (It will be for n is more than 17 persons, but there is no requirement to calculate this).