![\huge \boxed{\mathbb{QUESTION} \downarrow}](https://tex.z-dn.net/?f=%20%5Chuge%20%5Cboxed%7B%5Cmathbb%7BQUESTION%7D%20%5Cdownarrow%7D)
- What is the solution to the inequality -3x-42>3 ?
![\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}](https://tex.z-dn.net/?f=%20%5Clarge%20%5Cboxed%7B%5Cmathfrak%7BAnswer%20%5C%3A%20with%20%5C%3A%20Explanation%7D%20%5Cdownarrow%7D)
![- 3 x - 42 \gt 3](https://tex.z-dn.net/?f=-%203%20x%20-%2042%20%5Cgt%203)
Add 42 to both sides.
![-3x>3+42](https://tex.z-dn.net/?f=-3x%3E3%2B42%20)
Add 3 and 42 to get 45.
![-3x>45](https://tex.z-dn.net/?f=-3x%3E45%20)
Divide both sides by -3. As -3 is <0, the inequality direction has changed.
![x](https://tex.z-dn.net/?f=x%3C%5Cfrac%7B45%7D%7B-3%7D%20%20%5C%5C%20)
Divide 45 by -3 to get -15.
![\huge \boxed{ \boxed{ \bf \: x](https://tex.z-dn.net/?f=%20%5Chuge%20%5Cboxed%7B%20%5Cboxed%7B%20%5Cbf%20%5C%3A%20x%3C-15%20%7D%7D)
3^2+3^2=18
√ 18 + √18=2√18 or 6√2 meters
They are 6√2 meters apart or approximately 8.49 meters.
C. trapezoid
a trapezoid's legs are congruent, while the bases are symmetrical
a square is the answer you would want, because it is always true, while a trapezoid is only "sometimes" true
thanks Kaikers :D
Answer:
45 minutes
Step-by-step explanation:
Assume task completed in total x hours
![\frac{x}{10} + \frac{3}{8} + \frac{3}{12} = 1 \\ 12x + 45 + 30 = 120 \\ 12x = 45 \\ x = \frac{15}{4} = 3 \frac{3}{4}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B10%7D%20%2B%20%5Cfrac%7B3%7D%7B8%7D%20%2B%20%5Cfrac%7B3%7D%7B12%7D%20%3D%201%20%5C%5C%2012x%20%2B%2045%20%2B%2030%20%3D%20120%20%5C%5C%2012x%20%3D%2045%20%5C%5C%20x%20%3D%20%5Cfrac%7B15%7D%7B4%7D%20%3D%203%20%5Cfrac%7B3%7D%7B4%7D)
So q will take 45 more minutes