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Solnce55 [7]
3 years ago
10

Mr. Montinaro is reading a booklet with 15 pages in it. He is just finished reading page 10. What fraction of that pages does he

still have to read?
Mathematics
1 answer:
Lisa [10]3 years ago
4 0

Answer:

  1/3

Step-by-step explanation:

The remaining 15-10 = 5 pages comprise 5/15 = 1/3 of the book.

Mr. Montinaro has 1/3 of the pages still to read.

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An equivalent expression is (x+2)
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A passenger plane flew from Texas to Frankfurt and back. The round trip is 9900 km.
svp [43]

We want to find the average speed of the plane in still air, we will get that the average speed of the plane in still air is 355.3 km/hr

So we know that the total trip is 9900km, so from Texas to Frankfurt the distance is half of that:

9900km/2 = 4950km

Now, The speed of the plane in still air is x km/hr

The speed of the air is 50 km/hr, and it flows from Frankfurt to Texas.

So in the first part of the trip, the wind blows in opposite direction to the motion of the plane, thus the speed of the plane will be:

(x - 50) km/hr

While in the return trip the wind blows in favor of the plane, in this case, the speed is:

(x + 50)km/hr

Then if the first part of the trip lasts for T hours (the second for T - 4 hours) we can write the system of equations:

(x - 50)*T = 4950

(x + 50)*(T - 4) = 4950

Where I removed the units so it is easier to read.

If we isolate T in the first equation we get:

T = 4950/(x - 50)

Now we can replace this in the other equation to get:

(x + 50)*(4950/(x - 50)  - 4) = 4950

If we multiply both sides by (x - 50) we get:

(x + 50)*4950 - 4*(x + 50)*(x - 50) = 4950*(x - 50)

Now we can solve this for x:

(x + 50)*4950 - 4*(x^2 - 2500) - 4950*(x - 50) = 0

100*4950 - 4*(x^2 - 2500)  = 0

495000 - 4*x^2 + 10000 = 0

505000 = 4*x^2

√(505000/4) = x = 355.3

The average speed of the plane in still air is 355.3 km/hr

If you want to learn more about systems of equations, you can read:

brainly.com/question/13476446

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3 years ago
the first three steps in determining the solution set of the system of equations algebraically are shown in the table. y = −x2 +
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It is A! I know because i just took the test!
3 0
3 years ago
Read 2 more answers
What is the opposite of -45?
Vesnalui [34]

Answer:

45 or positive 45

Step-by-step explanation:

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3 years ago
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I don't know how to do this one. plz help
egoroff_w [7]

Answer:

As x decreases without bound, f(x) increases without bound

As x increases without bound, f(x) approaches 0

Step-by-step explanation:

As x gets more and more negative f(x)  gets bigger and bigger

f(x) = (7/10) ^ x but x is negative  so flip it and then x is a larger number

       (10/7) ^  large number   so it will get larger

 as → -∞   f(x) →∞    


As x gets more and more positive f(x)  gets smaller and smaller

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 as → ∞   f(x) →0    

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3 years ago
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