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dimaraw [331]
2 years ago
10

Can someone help me with this problem

Mathematics
1 answer:
Troyanec [42]2 years ago
3 0
THE ANSWER IS
mTQ=69
mQR=155
mTS=111
mSQR=335
mRQT=224
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Two trains started moving at the same time, train A from Boston to New York, and train B from New York to Boston. The distance b
Ede4ka [16]

Answer:

  • <u>After 1.7 hours</u>

Explanation:

<u>1. Calculate the average speed of train B</u>

  • 60mph = 3/4 (s) ⇒ s = 60 (4/3) mph = 80 mph

<u>2. Build a table</u>

When the two trains meet:

Train     Average speed     Distance       time (distance/average speed)

                 mph                            

A                 60                             x                        x/60

B                 80                        240 - x                (240 - x) / 80

<u>3. Write the equation</u>

The time, when the two trains meet, is the same for both trains:

                  \dfrac{x}{60}=\dfrac{240-x}{80}\\ \\ \\ 80x=14,400-60x\\ \\ 80x+60x=14,400\\ \\ 140x=14,400\\ \\ x=14,400/140\\ \\ x=102.85miles

<u>4. Calculate the time:</u>

  • x/60 = 102.86 / 60 = 1.7 hours

The two trains will meet after 1.7 hours

7 0
3 years ago
What is the mean, median, mode, and range from this data?
Zinaida [17]

Answer: The mean is 4, median is 4, no mode, range is 4

Step-by-step explanation:

<u>mode</u> is adding all the numbers and subtracting by the total amount of whole numbers

<u>median</u> is putting the numbers in a line ex.( 2, 6, 4, 5, 3) and crossing out left to right until theres one number left

<u>mode</u> is which ever number is repeated the most

<u>range</u> is the biggest number subtracted by the smallest number

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3 years ago
Solve the system of linear equations by elimination.<br> -3.x – 5y = -7<br> -4x + 5y = 14
julia-pushkina [17]

Answer:

(- 1, 2 )

Step-by-step explanation:

Given the 2 equations

- 3x - 5y = - 7 → (1)

- 4x + 5y = 14 → (2)

Add the 2 equations term by term to eliminate y , that is

- 7x + 0 = 7

- 7x = 7 ( divide both sides by - 7 )

x = - 1

Substitute x = - 1 into either of the 2 equations and solve for y

Substituting into (1)

- 3(- 1) - 5y = - 7

3 - 5y = - 7 ( subtract 3 from both sides )

- 5y = - 10 ( divide both sides by - 5 )

y = 2

solution is (- 1, 2 )

8 0
3 years ago
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What is 60 increased<br> by 20%
valina [46]

Answer:

72.00

Step-by-step explanation:

hope this helps! :D

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3 years ago
Bill had $21 to spend on four avocados.
stellarik [79]
Altogether :

21 - 13 = 8

For one avocado :


8/4 = 2

For one avocado it costs $2
5 0
3 years ago
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