Answer:
5/(3x+2) = 7/(5x-2)
<=>5*(5x-2) = 7*(3x+2) (x is not equal to -3/2 or 2/5)
<=> 25x -10 = 21x +14 (x is not equal to -3/2 or 2/5)
<=> 4x = 24 (x is not equal to -3/2 or 2/5)
<=> x = 6 (valid)
Answer:
The distance the tornado traveled was approximately 205 miles.
Step-by-step explanation:
The equation representing the relationship between the wind speed (in miles per hour) and the distance the tornado travels (in miles) is:
Compute the value of <em>d</em> for <em>s</em> = 280 as follows:
Thus, the distance the tornado traveled was approximately 205 miles.
Add the like terms. So I'll add the variables. 8x+6x is 14x. Now add whole numbers. 30+10 is 40. Our new expression we'll be 14x+40=180. Subtract 40 from 180. 180-40=140. Now we have the expression 14x=140. 140 divided by 14 is 10. So x is 10.
Answer:
3.88 nm
Step-by-step explanation:
The angle at Port Latta between the actual direction of travel and the destination at Lookout Point is 90° -75° = 15°. The sine function relates the angle, the side opposite, and the hypotenuse of a right triangle, so you have ...
sin(15°) = (distance to Lookout Point)/(15 nm)
Solving for the desired distance, we have ...
distance to Lookout Point = (15 nm)sin(15°) = 3.88 nm
The yacht is 3.88 nautical miles from Lookout Point.
Step 1. Divide denominator to numerator .
Step 2. you should have 5.4
Step 3. Keep the denominater (5) and add 5.4 as your numerator. <span />
