S1: 7x - 4x - 2 = 6 OK
S2: 3x - 2 = 6 OK
S3: 3x - 2 + 2 = 6 WRONG, correct is 3x - 2 + 2 = 6 + 2
Answer: c. Step 3, because a number has been added only to one side of the equation.
Answer:
2n - 9
Step-by-step explanation:
Let the number be n. Then "a number multiply by two then subtract 9" yields
2n - 9
The horizontal distance from the helicopter to the landing pad is 1658.81 feet
<em><u>Solution:</u></em>
The figure is attached below
Triangle ABC is a rightangled triangle
A helicopter is flying at point A and landing pad is at point c
Angle of depression of the helicopter is 37 degrees so angle of elevation of this helicopter from landing pad will be same as 37 degrees
The helicopter is 1250 feet from the ground
Therefore, AB = 1250 feet
To find: horizontal distance from the helicopter to the landing pad
BC is the horizontal distance from the helicopter to the landing pad
BC = ?
By the definition of tan,


Thus the horizontal distance from the helicopter to the landing pad is 1658.81 feet
Answer:
-11/20
Step-by-step explanation:

first you want to get a common denominator (number on the bottom)

now you can subtract the numerators (number on tope) (also don't touch bottom)

The information we've been given is:
12 heads
15 tails
From those, we find that there are 12 + 15 = 27 coins.
Let's examine these ratios as such:
- 12 heads to 27 coins -
There are indeed 12 heads and 27 coins, so this comparison agrees with our data.
- 15 tails to 12 heads -
Again, nothing here contradicts with our data, so this would be correct as well
- 12 heads to 15 tails -
Simply a reversed version of the ratio above; still a completely valid way to compare the relative quantities of heads and tails
- 5 tails to 9 coins -
This one needs a little more examination. We observe that the ratio of tails to coins with our given data is 15 tails to 27 coins. This seems to go against our data, but we can simplify our ratio by dividing both the number of tails and the number of coins by 3, which indeed gives us the ratio 5 tails to 9 coins.
So, all of the given ratios are correct.