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3 years ago

a jet travels 410 miles in 5 hours. At this rate, how far could the jet fly in 14 hours? What is the rate of speed of the jet

Mathematics

1 answer:

Fudgin [204]3 years ago

8 0

Answer:

Step-by-step explanation:

Rate X Time = distance

Therefore:

r (rate) X 5 (hours) = 600 (distance)

r = 600/5

r = 120 miles per hour

The rate of speed of the jet is 120 mph.

Then, to find out the distance flown in 13 hours:

120 (rate) X 13 (time) = d (distance)

120 X 13 = d

1560 = d

The distance flown in 13 hours is 1560 miles.

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3 years ago

Solve the following expression: -3+10 - -4 • -5+-6

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Answer:

-19

Step-by-step explanation:

-3+10- (-4) × (-5)+(-6)

-3+10+4 × (-5)-6

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3 years ago

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PLEASE HELP ME WITH THIS QUESTION!!!!!

prohojiy [21]

Answer:

we have, 1953125=5⁹, so it cannot be a perfect square. If the last digit of a given number is 5, then the last three digits must be perfect squares, 025 or 225 or 625. Otherwise, that number cannot be a perfect square. And as 125 is not a perfect square, so no number ending with 125 can be a perfect square

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2 years ago

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I need help with this ASAP and can you explain so i can understand?!

Elanso [62]

Answer:

Adult tickets sold = 225

Student Tickets sold = 375

Step-by-step explanation:

Let:

Adult tickets sold = x

Student Tickets sold = y

Total tickets sold = 600

So, we can write: x+y = 600

Total money collected = 3037.50

Cost of 1 Adult ticket = $6.00

Cost of one Student ticket = $4.50

So, we can write: 6x+4.5y=3037.50

Now, we get a system of equations, that if solved we can find values of x and y

Let:

$x+y = 600--eq(1)\\6x+4.5y=3037.50--eq(2)$

We can solve using substitution method.

Finding value of x from eq(1) and putting it in eq(2)

$We\:have\\x+y=600\\x=600-y$

Put in eq(2)

$6x+4.5y=3037.50\\6(600-y)+4.5y=3037.50\\3600-6y+4.5y=3037.50\\-1.5y=3037.50-3600\\-1.5y=-562.5\\y=\frac{-562.5}{-1.5}\\y=375$

So, we get value of y = 375

Now put value of y in eq(1) to find value of x

$x+y=600\\Put\:y=375\\x+375=600\\x=600-375\\x=225$

So, we get value of x = 225

The Tickets sold will be:

Adult tickets sold = x = 225

Student Tickets sold = y = 375

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2 years ago

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Iron Man Training While training for an iron man competition, Tony bikes for 60 miles and runs for 15 miles. If his bikes speed

ivolga24 [154]

Answer:

<u>Tony biked 1 hour 40 minutes and run 3 hours 20 minutes.</u>

Step-by-step explanation:

How long did Tony speed on his bike?

Let s to be Tony's running speed, then 8s is Tony's biking speed

Let's recall that Time = Distance/Speed

Bike time + Running time = 5 hrs

Replacing with the real values, we have:

60/8s + 15/s = 5

8s as Lowest Common Denominator

60 + 8 * 15 = 5 * 8s

60 + 120 = 40s

-40s = -180

s = -180-40

s = 4.5 ⇒ 8s = 36

Tony run at 4.5 mph and biked at 36 mph

Now, we can calculate the time, this way:

Bike time = Bike distance/Bike speed

Replacing with the real values, we have:

Bike time = 60/36

Bike time = 5/3 (Dividing by 12)

5/3 hours * 60 = 100 minutes or 1 hour 40 minutes

Running time = 5 hours - 1 hour 40 minutes = 3 hours 20 minutes

<u>Tony biked 1 hour 40 minutes and run 3 hours 20 minutes.</u>

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2 years ago