Answer:
117, 118
Step-by-step explanation:
if 2 consecutive numbers have a sum of 235, then
Let the 2 numbers be n and n+1
Given That:
n + n+1 = 235
Simplify and solve:
2n + 1 - 235
2n = 234
n = 117.
If n = 117, then n +1 = 118. These are the 2 consecutive numbers.
Hope this helps.
Good Luck
Step-by-step explanation:
Since Bridget rows 1 hour 4 kilometers upstream and 30 minutes (half of one hour) kilometers, downstream, then we have to find the average speed of both times. First, let's find how long Bridget would have to row upstream every kilometer.
Step 1:
60 minutes ÷ 4 kilometers = 15 minutes per kilometer (upstream)
30 minutes ÷ 4 kilometers = 7.5 minutes per kilometer (downstream)
Step 2:
Now, we find the average of 15 and 7.5. To do that, we add the values together and divide them by the number of values there are (2).
15 + 7.5 = 22.5
22.5 ÷ 2 = 11.25
Answer: Bridget takes 11.25 minutes to row 1 kilometer in still water.
The y intercept is -4 and the 2/3x is the slope
<u>Answer:</u>
![y = -\frac{1}{3} x](https://tex.z-dn.net/?f=y%20%3D%20-%5Cfrac%7B1%7D%7B3%7D%20x)
<u>Step-by-step explanation:</u>
We are given the following two points and we are to find the equation of the line which passes through them:
(-3, 1) and (0,0)
Slope = ![\frac{0-1}{0-(-3)} =-\frac{1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B0-1%7D%7B0-%28-3%29%7D%20%3D-%5Cfrac%7B1%7D%7B3%7D)
Substituting the given values and the slope in the standard form of the equation of a line to find the y intercept:
![y=mx+c](https://tex.z-dn.net/?f=y%3Dmx%2Bc)
![0=-\frac{1}{3} (0)+c](https://tex.z-dn.net/?f=0%3D-%5Cfrac%7B1%7D%7B3%7D%20%280%29%2Bc)
![c=0](https://tex.z-dn.net/?f=c%3D0)
So the equation of the line is ![y = -\frac{1}{3} x](https://tex.z-dn.net/?f=y%20%3D%20-%5Cfrac%7B1%7D%7B3%7D%20x)
Answer:she spent 10 hours working in her aunt's store last week.
Step-by-step explanation:
Let x represent the number of hours that Lee spent working at the movie theater.
Let y represent the number of hours that Lee spent working at her aunt's store.
Lee worked a total of 30 hours at the movie theater and her aunt's store. This means that
x + y = 30
Her combined pay from the jobs was $240. She earned $9 per hour working at the movie theater and $6 per hour working in her aunt's store. This means that
9x + 6y = 240 - - - - - - - - - -1
Substituting x = 30 - y into equation 1, it becomes
9(30 - y) + 6y = 240
270 - 9y + 6y = 240
- 9y + 6y = 240 - 270
- 3y = - 30
y = - 30/ - 3 = 10 hours