X/8 > 2÷(3+4+1)×2 can be simplified as:
x/8 > 2÷(3+4+1)×2
= x/8 > 1÷(3+4+1)
= x/8 > 1÷(8)
= x/8 > 1/8
= x > 1
As shown in the attached picture, the red shaded part is the graph of x>1
Becuase 1 is negative and one is postive
Dennis = 12 km'h
Kathy = 20 km/h
Step-by-step explanation:
- Lets first establish that time is the same for both Kathy and Dennis and we can therefore assign is the value of <em>t</em>
- Kathy is cycling 8km/h faster than Dennis. Therefore if Dennis is doing <em>x </em>km/h Kathy is doing (<em>x</em>+8)km/h
- If it takes Kathy<em> t </em>time to cycle for 60 km at (<em>x</em>+8)km/h, we can derive the time <em>t </em>as;
(<em>x</em>+8)* <em>t </em>= 60
<em>t</em> = 60/(<em>x</em>+8)
- We can now use this time to establsish how fast Dennis is cycling. Dennis, using a speed of <em>x</em> km/h takes the same time (60/(<em>x</em>+8)) to cycle for 36 km. Therefore;
<em>x</em> * 60/(x+8) = 36
= 60x/(x+8) = 36
36 (x + 8) = 60x
36x + 288 = 60x
288 = 60x – 36x
288 = 24x
12 =<em> x </em>
Dennis is cycling at 12 km/h
Kathy is doing x + 8
= 12 + 8 = 20 km/h
Learn More:
For more on deriving equations check out;
brainly.com/question/11888968
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It should be B
Calculate the slopes using the change of y over the change in x
-2/2=-1
That’s the only option with a slope of -1
Answer:
B
Step-by-step explanation:
Let's make a table:
Term 1: 3 toothpicks
Term 2: 4 toothpicks
Term 3: 5 toothpicks
Term 4: 6 toothpicks
Term 5: 7 toothpicks
Term N = N + 2 toothpicks
