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Sliva [168]
3 years ago
15

An airplane travels 1,800 miles from Los Angeles to Chicago in 3.6 hours, going with the wind. The return trip takes 4 hours and

is against the wind. Find the rate of the airplane with no wind. Find the rate of the wind.
Mathematics
1 answer:
drek231 [11]3 years ago
4 0
The "rate" at which something travels can be referred to as velocity.

V = displacement / time

So going with the wind, Vp + Vw = 1800 / 3.6 = 500 mph
Going against the wind, Vp - Vw = 1800 / 4 = 450 mph

Vp = 500 - Vw
Vp = 450 + Vw

500 - Vw = 450 +Vw

2Vw = 50

Vw = 25 mph
Vp = 475 mph
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The ratio of solid beads to clear beads in a vase is 820. Select all the correct statements that tell if the operations will giv
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Answer:

C, D and E

Step-by-step explanation:

Given

Represent solid beads with S and clear beads with C

So:

S:C = 8:20

Required

Select operations that give an equivalent ratio

First, we need to get the unit ratio

S:C = 8:20

Divide through by 4

S:C = 2:5 -- This means that, after any operation. The equivalent ratio must be 2: 5

Option A: Add 2 to S and 2 to C

S:C = 8:20

Perform the operation

S:C = 8 + 2 : 20 + 2

S:C = 10 : 22

Divide through by 2

S:C = 5:11

Option B: Subtract 8 from S and 6 from C

S:C = 8:20

Perform the operation

S:C = 8 - 8 : 20 - 6

S:C = 0 : 14

Option C: Multiply S and C by 2

S:C = 8:20

Perform the operation

S:C = 8*2:20*2

S:C = 16:40

Divide through by 8

S:C = 2:5

Option D: Divide S and C by 4

S:C = 8:20

Perform the operation

S:C = 8/2:20/4

S:C = 2:5

Option E: Multiply S and C by 18

S:C = 8:20

Perform the operation

S:C = 8*18:20*18

S:C = 144:360

Divide through by 72

S:C = 144/72:360/72

S:C = 2:5

<em>From the calculations above, options C, D and E gave an equivalent of 2:5.</em>

5 0
3 years ago
Answer this question please and thank you
krek1111 [17]

Answer: 64$

Day one: 2

Day two: 2 x 2 = 4

Day three: 4 x 2 = 8

Day four: 8 x 2 = 16

Day five: 16 x 2 = 32

Day six: 32 x 2 = 64

4 0
3 years ago
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tankabanditka [31]

Answer: A = 2,034.356 ≈ $2,034.36

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Step-by-step explanation:

Given that ;

P = $1,700

Rate r = 6%

Time period (t) = 3 years

now to find how much money will be in the account in 3 years

we say;

A = P ( 1 + r/n )^nt

A = 1,700 ( 1 + 0.06/12) ¹²ˣ³

A = 1,700 ( 1.19668)

A = 2,034.356 ≈ $2,034.36  

3 0
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Each member should pay $14.5, including tax.
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The graph shows the amount of money Miguel earns
Novay_Z [31]

Answer:

Step-by-step explanation:

the function shows a comparison between 2 objects that change  

If we use function notation, the Average Rate of Change of a function from a to b can be formulated as:  

ROC = rate of change  

The graph shows  the amount earned vs hours worked

There are two points on the graph that can be used as a reference for finding ROC

Point (2,26) and (5,65)

the rate of change (ROC) :

done...

6 0
3 years ago
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