-13 to 0 = 13 degrees changed. 0 to 22 is 22 degrees changed. 13 + 22 = 35 degree change.
10-3 = 7.
So there was a change of 35 degrees across 7 hours
35/7 = 5 degrees per hour.
Answer:
1/3
Step-by-step explanation:
The slope of a line is rise over run, aka. rise/run. You will need to "rise" 1 unit up and "run" three units to the right to reach the next point.
Answer: Yeah, C is correct.
Step-by-step explanation:
![\frac{3}{8}x = 32](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B8%7Dx%20%3D%2032)
multiply both sides by the reciprocal
x = 85⅓
We would expect her to make about 85 business calls in a month.
Step-by-step explanation:
The equation means "3/8 of the unknown total is 32"
When we multiply 3/8 by its reciprocal, it becomes 1 and cancels on the left.
8/3 times 32 is a mixed number, so it is reasonable to round it to a whole number of calls.
.
I hope I read this question correctly. The coding for the fraction made it a bit confusing.
Answer:
![\large\boxed{\left\{\begin{array}{ccc}x\leq\dfrac{20}{a}&\text{for}\ a>0\\\\x\geq\dfrac{20}{a}&\text{for}\ a](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bccc%7Dx%5Cleq%5Cdfrac%7B20%7D%7Ba%7D%26%5Ctext%7Bfor%7D%5C%20a%3E0%5C%5C%5C%5Cx%5Cgeq%5Cdfrac%7B20%7D%7Ba%7D%26%5Ctext%7Bfor%7D%5C%20a%3C0%5Cend%7Barray%7D%5Cright%20%7D)
Step-by-step explanation:
![ax-8\leq12\qquad\text{add 8 to both sides}\\\\ax-8+8\leq12+8\\\\ax\leq20\qquad\text{divide both sides by}\ a\neq0\\\\(1)\ \text{if}\ a>0,\ \text{then:}\\\\x\leq\dfrac{20}{a}\\\\(2)\ \text{if}\ a](https://tex.z-dn.net/?f=ax-8%5Cleq12%5Cqquad%5Ctext%7Badd%208%20to%20both%20sides%7D%5C%5C%5C%5Cax-8%2B8%5Cleq12%2B8%5C%5C%5C%5Cax%5Cleq20%5Cqquad%5Ctext%7Bdivide%20both%20sides%20by%7D%5C%20a%5Cneq0%5C%5C%5C%5C%281%29%5C%20%5Ctext%7Bif%7D%5C%20a%3E0%2C%5C%20%5Ctext%7Bthen%3A%7D%5C%5C%5C%5Cx%5Cleq%5Cdfrac%7B20%7D%7Ba%7D%5C%5C%5C%5C%282%29%5C%20%5Ctext%7Bif%7D%5C%20a%3C0%2C%5C%20%5Ctext%7Bthen%20you%20must%20flip%20the%20sign%20of%20inequality%3A%7D%5C%5C%5C%5Cx%5Cgeq%5Cdfrac%7B20%7D%7Ba%7D)