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marusya05 [52]
3 years ago
11

A pilot can travel for 140 miles with the wind in the same amount of time as 360 miles against the wind. Find the speed of the w

ind if the pilot speed in still air is 200 mph.
Mathematics
1 answer:
quester [9]3 years ago
4 0

Answer:

  -88 mph

Step-by-step explanation:

We can use the relation ...

  time = distance/speed

to compare the times in the two directions.

  \dfrac{140}{200+w}=\dfrac{360}{200-w}\\\\140(200-w)=360(200+w)\\\\200(140-360)=w(360+140)\\\\w=\dfrac{200(-220)}{500}=-88 \quad\text{miles per hour}

The wind speed is -88 miles per hour.

_____

The problem statement tells us the travel is slower <em>with</em> the wind than <em>against</em> the wind. Hence "with the wind" must be subtracting from the net speed. That is, the wind speed is negative.

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Point x is at 2/3 on number line. On the same number line point y is the same distance from 0 as point x but has a numberator of
Yanka [14]

Answer:  The answer is 12.

Step-by-step explanation: Given that a point 'x' is lying at \dfrac{2}{3} on the number line. Another point 'y' is also lying at the same distance from 0 but has a numerator of 8. We are to find the denominator of 'y'.

Since 'x' is lying at \dfrac{2}{3} on the number line so its distance from 0 will be

d_x=\dfrac{2}{3}-0=\dfrac{2}{3}.

Let the denominator of 'y' be p, then its distance from 0 will be

d_y=\dfrac{8}{p}-0=\dfrac{8}{p}.

According to the given information, we must have

d_x=d_y\\\\\\\Rightarrow \dfrac{2}{3}=\dfrac{8}{p}\\\\\\\Rightarrow p=\dfrac{8\times 3}{2}=12.

Thus, the denominator will be 12.

4 0
3 years ago
<img src="https://tex.z-dn.net/?f=4%28a%20%2B%202%20%29%20-%202%20%28a%20-%203%29" id="TexFormula1" title="4(a + 2 ) - 2 (a - 3)
satela [25.4K]

Answer:

\large\boxed{2a+14}

Step-by-step explanation:

4(a + 2 ) - 2 (a - 3)\qquad\text{use distributive property:}\ a(b+c)=ab+ac\\\\=4a+8-2a-(-6)\qquad\text{combine like terms}\\\\=(4a-2a)+(8+6)\\\\=2a+14

5 0
2 years ago
There are 15 candidates for 4 job positions.
Veronika [31]

Answer:

32760 ways

Step-by-step explanation:

Given

Number of Candidates = 15

Job Positions = 4

Required:

Number of outcomes

This question represent selection; i.e. selecting candidates for job positions;

This question can be solved in any of the following two ways

Method 1.

The first candidate can be chosen from any of the 15 candidates

The second candidate can be chosen from any of the remaining 14 candidates

The third candidate can be chosen from any of the remaining 13 candidates

The fourth candidate can be chosen from any of the remaining 12 candidates

Total Possible Selection = 15 * 14 * 13 * 12

<em>Total Possible Selection = 32760 ways</em>

<em></em>

Method 2:

This can be solved using permutation method which goes thus;

nPr = \frac{n!}{(n-r)!}

Where n = 15 and r = 4

So;

nPr = \frac{n!}{(n-r)!} becomes

15P4 = \frac{15!}{(15-4)!}

15P4 = \frac{15!}{11!}

15P4 = \frac{15*14*13*12*11!}{11!}

15P4 = 15*14*13*12

15C4 = 32760

<em>Hence, there are 32760 ways</em>

8 0
3 years ago
The amount of money, in dollars, Sarah has in her savings account is modeled as a function of time in months. This function is r
hjlf

Answer:

330.60.330.60.330.60.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Solve for h in h+6/5=2
Ivenika [448]

Answer:

h=4/5

Step-by-step explanation:

h +  \frac{6}{5}  = 2

Collect like terms and simplify

h = 2 -  \frac{6}{5}  \\ h =  \frac{4}{5}

6 0
3 years ago
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