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zhenek [66]
3 years ago
14

A round trip in a helicopter lasted 4 1/2 hours. The average rate going was 160 kilometers per hour. the average rate returning

was 80 kilometers per hour. what was the helicopters distance from the airport.
Mathematics
1 answer:
aalyn [17]3 years ago
8 0

hm not sure tbh lol but try google as a source

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Find the value of x
netineya [11]

Answer:

45 degrees

Step-by-step explanation:

a right angle is 90 degrees and there is a line splitting it in half equaly. We have to also divide 90 by 2 then which is 45 so 45 degrees.

3 0
2 years ago
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You go shopping at a local department store with your friend and cousin. You buy one pair of jeans, four pairs of shorts, and tw
VashaNatasha [74]

Answer: Cost per pair of jeans = $ 20

Cost per pair of shorts = $12

Cost per shirt = $8

Step-by-step explanation:

Let x= cost per pair of jeans

y = Cost per pair of shorts

z= cost per shirt.

For you, total cost = x+4y+2z= 84

For your friend,  total cost = 2x+y+3z=76

For cousin, total cost = x+2y+z= 52

Required system:

x+4y+2z=84\ (i)\\ 2x+y+3z=76\ (ii)\\ x+2y+z=52\ (iii)

from (i), x=84-4y-2z    (*)

put this in (ii) and (iii) we get

2\left(84-4y-2z\right)+y+3z=76\\\Rightarrow\ -7y-z+168=76\ (iv)\\\\ 84-4y-2z+2y+z=52\\\Rightarrow\ -2y-z+84=52 \ (v)

from (iv), y=-\frac{z-92}{7}\ (vi)

\mathrm{Subsititute\:}y=-\frac{z-92}{7}\ \text{in}\ (v)

-2\left(-\frac{z-92}{7}\right)-z+84=52\\\\\Rightarrow\ -2\left(-\frac{z-92}{7}\right)-z=-32\\\\\Rightarrow\ -\frac{5z}{7}-\frac{184}{7}=-32\\\\\Rightarrow\ -5z-184=-224\\\\\Rightarrow\ -5z=-40\\\\\Rightarrow\ z=8

\mathrm{Subsititute\:}z=8\text{ in (vi)}

y=-\frac{8-92}{7}\\\\\Rightarrow \ y=12

\mathrm{Subsititute\:}z=8,\:y=12\text{ in (*)}

x=84-4\cdot \:12-2\cdot \:8\\\\\Rightarrow\ x= 20

Hence, x= 20, y= 12 , z=8

So, Cost per pair of jeans = $ 20

Cost per pair of shorts = $12

Cost per shirt = $8

7 0
3 years ago
Can someone help please Stickers are sold in packages of 15 sheets. If there are 20 students in the class, how many packages of
MrRa [10]

Answer:

4 packages

Step-by-step explanation:

If there are 20 and stickers are sold in 15 sheets, then you got to work backwards. take the answer and multiply it by the amount of sheets. For example: 4 times 15 is 60, 60 divided by 20 is 3. No leftover numbers.

8 0
3 years ago
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Jaime bikes 5 1/4 miles on Monday 6 7/8 miles on Tuesday and 8 1/2 miles on Wednesday if he continue the pattern how many miles
Shtirlitz [24]

<span>11 2/8  there is a 1 5/8 between each of them so you keep adding 1 5/8 miles each day.</span>
8 0
3 years ago
What is the volume of shed B?
skelet666 [1.2K]
Both the length and width of shed A are 6 feet.
I multiplied 6 by 2 and got 12.
My new equation is 12 × 12 × 8....

Which is 1,152. The answer is H.
4 0
3 years ago
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