If a plane travels 300 mph, how many miles will it travel in 18 min?

Answers

Answer 1

Answer:

The plane travelling at a speed of 300 mph will travel 90 miles in 18 minutes.

What is unit rate?

A unit rate means a rate for one of something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate.

Given that, a plane travels 300 mph,

That means, its unit rate is 300 mph

Therefore, in 60 minutes it will travel 300 miles

Therefore, in 1 minute it will travel = 300 / 60 = 5 miles

Thus, in 18 minutes it will travel = 5 x 18 = 90 miles

Hence, the plane travelling at a speed of 300 mph will travel 90 miles in 18 minutes.

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Answer 2

Answer:

Answer:

6 hours.

Step-by-step explanation:

1800/300. time =distance / rate

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Solve 9x2 + 3x − 2 = 0 by using an appropriate method. Show the steps of your work, and explain why you chose the method used.

Answers

As far from I know, you can use the quadratic formula or factor this equation. It's easier to factor instead because this is efficient to certain types of quadratic equation. In order to factor the equation, suppose you draw an big X. Each part of the 'X' is very substantial to help solve the equation. On the top, multiply the coefficient from '9x2', in which 9 is your coefficient, and multiply it with the last number, -2. Your total is -18. With the 3x left on the equation, place the 3 on the bottom of the 'X' mark. Now, you need to find two numbers that multiply and add/subtract to -18 and 3. The only two possible numbers are 6 and -3. However, those are not your final answers because they're not an restriction to 0. You will get (x+6)(x-3). Finally, find the opposite of both of the two separate equations and you will find your final answers.

What is 49 to the negative power 1/2?

Answers

So say you have just 49 raised to the 1/2, that is equivocal to the square root of 49, which is 7. Instead, you have 49 raised to the negative half power, so all you need to do is move that term to the denominator of its fraction. You now have 1/49^(1/2) which turns out to be 1/7

49^-1/2
=1/49^1/2
= 1/Square root of 49
=1/7

Equation of (0,2) , (2,5)

Answers

Ok lets plot the points in my Desmos Graphing calculater. If you do that you will see that the initial value or the fixed amount is 2!

Lets plug that into the slope interceot form y = mx + b.

y = mx + 2.

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The vertex of the parabola y = x2 + 8x + 10 lies in Quadrant

Answers

$y = x^2 + 8x + 10\n\nThe\ vertex=(p;\ q)\ \ \ and\ \ \ p=- (b)/(2a) ;\ \ \ q=- (\Delta)/(4a) ;\ \ \ \Delta=b^2-4ac\n\n\Delta=8^2-4\cdot1\cdot10=64-40=24\n\np=- (8)/(2\cdot1) =-4\n\nq=- (24)/(4\cdot1) =-6\n\nthe\ vertex=(-4;-6)$

$y = x^2 + 8x + 10 \n \nthe \ standard \ form \ y = ax^2 + bx + c \n\nof \ a \ function \ into \ vertex \ form \ y = a(x - h)^2 + k ,\n \n we \ have \ to \ write \ the \ equation \ in \ the \ complete \ square \ form \n\n\ and \ vertex(h, k) \ is \ given \ by:$

$h = (-b)/(2a) , \ \ k = c -(b^2)/(4a ) \n \ny = a(x - h)^2+k$

opens up for a > 0

$a=1 , \ \ b=8, \ \ c=10 \n \nh= (-8)/(2)=-4$

$k= 10-(8^2)/(4)=10-(64)/(4)=10-16=-6 \n \ny=(x-(-4))^2+(-6)\n \ny=(x+4)^2-6$

What is the solution to 2x+12=5x-9

Answers

so 2x+12=5x-9
you want all of the unknowns on one side and all of the known values on the other or
subtract 2x from both sides
12=3x-9
add 9 to both sides
21=3x
divide both sides by 3
7=x

$2x+12=5x-9\ \ \ \ |combine\ like\ terms\n\n2x-5x=-9-12\ \ \ \ \ |simplify\n\n-3x=-21\ \ \ \ \ |:-3\n\nx=7$

People are arriving at an amusement park at a constant rate. If 450 people arrive in 15 minutes, how many people arrive each minute?

Answers

30 people per minute. 450 divided by 15.

Divide 450 by 15. Which is 30, which means it is 30 people per minute.

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