-1 > -2(x-4) - 5(4x - 7)
-1 > -2x + 8 - 20x + 35
-1 > -22x + 43
-1 - 43 > - 22x
-44 > - 22x
-44/-22 < x
2 < x....or x > 2
The answer is 5/4 in
The initial length:
1 ft = 12 in
8 ft = 8 * 12 in
= 96 in
The final length:
7 ft 10 3/4 in = 7 ft + 10 in + 3/4 in
= 7 * 12 in + 10 in + 3/4 in
= 84 in + 10 in + 3/4 in
= 94 in + 3/4 in
The cut if the initial length - final length:
96 in - 94 in - 3/4 in = 2 in - 3/4 in = 8/4 in - 3/4 in = 5/4 in
The answer is $9.50 because you need to take the total of the popcorn which is $16.50. Then subtract that from $45 and get $28.50. The last step to do is divide $28.50 by three to get your final answer= $9.50
The answer is= $9.50
The closer Diana gets to the building, the smaller the angle becomes
Diana is 17.6 feet closer to the building
<h3>How to calculate the distance from the building</h3>
To calculate the distance between her and the building, we make use of the following tangent ratio
Where:
- h represents the height of the building; h = 130
- d represents the distance from the building
So, we have:
Make d the subject
Evaluate tan(40)
Initially, Diana is at a distance of 172.53.
The difference in both distance is:
Hence, Diana is 17.6 feet closer to the building
Read more about trigonometry ratios at:
brainly.com/question/4326804
Answer:
Step-by-step explanation:
Remark
Anything multiplied by 0 = 0. So the whole right side is 0.
(6x - 9)*3 - 1 = 0 Add 1 to both sides.
(6x - 9)*3 - 1 + 1 = 0 + 1 Combine
(6x - 9)*3 = 1 Divide both sides by 3
(6x - 9)*3/3 = 1/3 Simplify
(6x - 9) = 1/3 Remove brackets. Add 9 to both sides
6x - 9+9 = 9 1/3 Combine
6x = 9 1/3
6x = 28/3 Divide both sides by 6
6x / 6 = 28/3 // 6 Invert the 6 and multiply.
x = 28/3 * 1/6
x = 28/18
Answer
x = 14/9
