Flying against the wind, an airplane travels 7520 kilometers in 8 hours. Flying with the wind, the same plane travels 6500 kilom
1 answer:
Answer:
Rate of plane in still air = 1120 km/h
Rate of wind = 180 km/h
Step-by-step explanation:
Let the rate (speed) of the plane in still air = u km/h
Let the rate (speed) of the wind = v km/h
Formula for speed is:
Given that against the wind, airplane travels 7520 km in 8 hours.
The speed against the wind will be slower so,
Against the wind, speed = (u -v ) km/h
Using above formula:
Given that with the wind, airplane travels 6500 km in 5 hours.
The speed with the wind will be faster so,
With the wind, speed = (u +v ) km/h
Using above formula:
Adding (1) and (2) to solve for u and v:
Putting u in (1):
So, the answers are:
<em>Rate of plane in still air = 1120 km/h</em>
<em>Rate of wind = 180 km/h</em>
<em></em>
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Answer:
x⁴+2x³ +3x²+6x +12 r.
Step-by-step explanation:
You can do this through synthetic division. It is a shorthand way of dividing polynomials.
First you need to make your divisor equal to zero so you can solve for what goes into the division box:
x - 2 = 0 → x = 2
The next step is to arrange your polynomials in descending powers. All missing terms, you will put in a zero.
x⁵ - x³ + (-5) → x⁵ + 0x⁴- x³ + 0x² + 0x + (-5)
Now you can proceed to synthetic division. Make an upside down division box with the divisor outside and the coefficients of the dividend listed, along with their sign. Leave a space below the divident
+2 | +1 0 -1 0 0 -5
|<u> </u>
Next you bring down the first coefficient:
+2 | +1 0 -1 0 0 -5
|<u> </u>
+1
Then you multiply it by the divisor and write the product under the next coefficient:
+2 | +1 0 -1 0 0 -5
|<u> +2 </u>
+1
Next add the column and put the sum below it:
+2 | +1 0 -1 0 0 -5
|<u> +2 </u>
+1 +2
Then multiply again and repeat until you reach the last coefficient:
+2 | +1 0 -1 0 0 -5
|<u> +2 +4 +6 +12 +24 </u>
+1 +2 +3 +6 +12 +19
Now that you have your results, add in the x and their powers. The powers will start with the highest power but 1 less than the dividend. Since the dividend's highest power is 5, then the quotient's highest power will be 4. Then write it in descending order :
+1x⁴ +2x³ +3x² +6x +12 +19
Now the last coefficient is your remainder. So your results will be:
x⁴+2x³ +3x²+6x +12 r.
Answer:
The cost of per ounce of oat cereal is $0.04 less than per ounce cost of rice.
Step-by-step explanation:
Given:
Cost of 15 ounces of oat cereal box = $3.90
Cost of 11 ounces of rice box = $3.30
To compare the unit prices of the the boxes.
Solution:
Using unitary method to find the unit prices:
If 15 ounce of oat box cost =$3.90
∴ 1 ounce of oat cereal would cost =
∴ Per ounce cost of oat cereal = $0.26
If 11 ounce of rice box cost =$3.30
∴ 1 ounce of rice would cost =
∴ Per ounce cost of rice = $0.3
Difference in unit costs of oat and rice =
On comparing the the unit costs of oats and rice, we find out that the cost of per ounce of oat cereal is $0.04 less than per ounce cost of rice.