26x3=78
78-x=72
x=6
She needs to buy at least 6 more to have enough for 26 students
The time take for the cyclist to travel from Fort Worth to Fresno is ![90 \ hours](https://tex.z-dn.net/?f=90%20%5C%20hours)
Explanation:
It is given that the distance from Fort Worth to Fresno is 1,530 miles.
The average speed of the cyclist is 17 miles per hour.
The time travelled by the cyclist can be determined using the formula,
![Distance=Speed \times Time](https://tex.z-dn.net/?f=Distance%3DSpeed%20%5Ctimes%20Time)
Substituting the value of distance and speed, we get,
![1530=17\times Time](https://tex.z-dn.net/?f=1530%3D17%5Ctimes%20Time)
Dividing both sides by 17, we get,
![90 =Time](https://tex.z-dn.net/?f=90%20%3DTime)
Thus, the time take for the cyclist to travel from Fort Worth to Fresno is ![90 \ hours](https://tex.z-dn.net/?f=90%20%5C%20hours)
Answer: (7x + 1)(x + 7)
Step-by-step explanation:
![$$Factor the following:$$7 x^{2}+50 x+7$$Factor the quadratic $7 x^{2}+50 x+7$. The coefficient of $x^{2}$ is 7 and the constant term is 7. The product of 7 and 7 is 49 . The factors of 49 which sum to 50 are 1 and 49. So:\\\\ $7 x^{2}+50 x+7\\=7 x^{2}+49 x+x+7\\=7(7 x+1)+x(7 x+1)$ \\\\Factor $7 x+1$ from $7(7 x+1)+x(7 x+1)$ :$$\\\\Answer:(7 x+1)(x+7)$$](https://tex.z-dn.net/?f=%24%24Factor%20the%20following%3A%24%247%20x%5E%7B2%7D%2B50%20x%2B7%24%24Factor%20the%20quadratic%20%247%20x%5E%7B2%7D%2B50%20x%2B7%24.%20The%20coefficient%20of%20%24x%5E%7B2%7D%24%20is%207%20and%20the%20constant%20term%20is%207.%20The%20product%20of%207%20and%207%20is%2049%20.%20The%20factors%20of%2049%20which%20sum%20to%2050%20are%201%20and%2049.%20So%3A%5C%5C%5C%5C%20%247%20x%5E%7B2%7D%2B50%20x%2B7%5C%5C%3D7%20x%5E%7B2%7D%2B49%20x%2Bx%2B7%5C%5C%3D7%287%20x%2B1%29%2Bx%287%20x%2B1%29%24%20%5C%5C%5C%5CFactor%20%247%20x%2B1%24%20from%20%247%287%20x%2B1%29%2Bx%287%20x%2B1%29%24%20%3A%24%24%5C%5C%5C%5CAnswer%3A%287%20x%2B1%29%28x%2B7%29%24%24)