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Valentin [98]
3 years ago
6

A plane flies round-trip to Philadelphia. If flies to Philadelphia at 220 miles per hour and back home with a tailwind at 280 mi

les per hour. If the total trip takes 6.5 hours, how many miles does the plane fly round-trip?
560 miles

800.8 miles

1,300 miles

1,601.6 miles
Mathematics
2 answers:
Brrunno [24]3 years ago
7 0

Answer:

B

Step-by-step explanation:

aleksandrvk [35]3 years ago
5 0
To solve the problem we will use this equation where,

d will be distance.
<span>x is the speed of the plane without tailwind. </span>
<span>y is the speed of the wind affecting the plane.</span>
Going to Philadelphia the speed of the plane affected by wind will be x-y=220 miles/hr
Coming back with a tailwind, the speed of the plane will be x+y= 280 miles/hr.
since time = distance / speed, t1 =d/220 and t2 = d/280
and since the total time traveled is 6.5hrs
d/220 + d/ 280 = 6.5hrs
d = 800.8 miles x 2 (back and forth trip) the answer is 1601.6 miles
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If 1 mile is equal to 1.61 kilometers, how many kilometers are there in 50 miles
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kilometers and miles are units used to measure distance.

1 mile is equal to 1.61 km

so if 1 mile is equivalent to 1.61 km

then to see how many kilometers are there in 50 miles we have to multiply 50 miles by 1.61 km/mile

therefore the number of km in miles is - 50 miles x 1.61 km/mile = 80.5 km

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3 years ago
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The cost of 5 hats and 1 scarf is $47. The cost of 2 hats and 2 scarves is $40. How much does one hat cost?
stepan [7]

Answer:

6.75

Step-by-step explanation:

h=hat, s=scarf

5h + 1s = $47 (equation 1)

2h + 2s = $40 (equation 2)

multiply equation 1 by 2 , we get: 10h + 2s = $94 (equation 3)

equation 3 minus equation 2, we get:

8h = $54 ⇒ h = $6.75 ⇔ 1 hat cost $6.75

substitute h = $6.75 into equation 2 to find s,

2($6.75) + 2s = $40

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6 0
3 years ago
A bacteria culture contains 1500 bacteria initially and doubles every hour. (a) Find a function N that models the number of bact
Tpy6a [65]

Answer: a) N(t)=1500(2)^t

b) 25165824000

Step-by-step explanation:

The exponential equation for growth is given by :-

y= ab^t , where a= initial value , b =multiplicative growth factor and t = time.

Given : A bacteria culture contains 1500 bacteria initially and doubles every hour.

i.e. a = 1500 and b= 2

Then, the function N that models the number of bacteria after t hours will be :

N(t)=1500(2)^t

To find , the number of bacteria after 24 hours , we put t= 24 in above equation , we get

N(24)=1500(2)^{24}\\\\=1500(16777216)=25165824000

Hence, the number of bacteria after 24 hours is 25165824000.

7 0
3 years ago
I want to thank everyone on here who has helped me!
wariber [46]
Omg that so nice I love this app sm
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3 years ago
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