Answer:
0 miles- $50
1 mile- $53
2 miles- $56
3 miles-$59
Step-by-step explanation:
you add $3 to the original 50 as you go each mile.
The inequality that represents the amount of money Alex needs to earn is y = 11.50x and 9x + 100.
<h3>How to depict the information?</h3>
The slope and the y intercept of both of the works will be:
For the tech company:
y = 11.50x
m = 11.50
y = 11.50(8 × 20)
y = 11.50(160)
y = 1840
For the amusement park
amusement parky = 9x + 100
amusement parky = 9x + 100y = 9(320) + 100
y = 2880 + 100
y = 2980.
When he wants to make the exact amount, the number of hours will be:
9x + 100 = 2200
9x = 2200 - 100
9x = 2100
x = 233.3
Learn more about equations on:
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Measure of the angle that is opposite the line of 88 feet:
180° - ( 22° + 148° ) = 10°
Using the Sine Law:
sin 10° / 88 = sin 22° / x
0.173648 / 88 = 0.3746 / x
x · 0.173648 = 88 · 0.3746
x = 189.84 ft
h - height of a building:
h / x = sin 32°
h = x · sin 32° = 189.84 · 0.529919 = 100.59987 ≈ 100.6 ft
Answer: A ) 100.6 feet
Answer:
Option B
Step-by-step explanation:
Numerator:

![=\dfrac{3- 4x -4*(-1)}{x-1}=\dfrac{3-4x+4}{x-1}\\\\\\=\dfrac{-4x+7}{x-1} \: \textbf{ [Combine like terms]}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B3-%204x%20-4%2A%28-1%29%7D%7Bx-1%7D%3D%5Cdfrac%7B3-4x%2B4%7D%7Bx-1%7D%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B-4x%2B7%7D%7Bx-1%7D%20%5C%3A%20%20%5Ctextbf%7B%20%5BCombine%20like%20terms%5D%7D)
Denominator:



![\bf = \dfrac{-4x+7}{x-1}*\dfrac{x-1}{2(x-2)} \ \ \ \textbf{ [(x-1) in the numerator and denominator will be cancelled]}\\\\\\=\dfrac{-4x+7}{2(x-2)}](https://tex.z-dn.net/?f=%5Cbf%20%3D%20%5Cdfrac%7B-4x%2B7%7D%7Bx-1%7D%2A%5Cdfrac%7Bx-1%7D%7B2%28x-2%29%7D%20%5C%20%5C%20%5C%20%20%5Ctextbf%7B%20%5B%28x-1%29%20in%20the%20numerator%20and%20denominator%20will%20be%20cancelled%5D%7D%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B-4x%2B7%7D%7B2%28x-2%29%7D)
Answer:
B) 2.849
Step-by-step explanation:
Given: 2.85 which is rounded to the nearest hundredth place.
To find the number, the thousandth place must be greater than or equal to 5.
Here 2.849 has the thousandth place greater than 5
When we round off 2.849 to the nearest hundredth place, we get
2.85
Therefore, answer is B) 2.849
Hope this will helpful.
Thank you.