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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The sum of all the angle measures is 180 degrees, now lets set up some equations:
Thus x = 22
Hope that helps!
Answer:
yes, no, yes, no
Step-by-step explanation:
For it to be a line, that means that when x goes up by 1 y goes up by the same thing every time.
7a. from (1, 12) to (2, 8), the x coordinate goes up by 1 and the y coordinate goes down by 4. From (2, 8) to (3, 4) the y coordinate again goes down by 4 when the x coordinate goes up by 1. This pattern continues for the other points, so yes.
Do the same thing for the rest and you should get:
7b. No
7c. Yes
7d. No
Answer:
(a) Increased by 100%
(b) Increased by 50%
(c) Decreased by 33.33%
(d) Decreased by 50%
(e) Increased by 200%
(f) Decreased by 66.67%
Step-by-step explanation:
In this question, we can use the following <em>formula</em>:
Positive value of percentage change means increase and
Negative value of percentage change means decrease.
Solution a)
Old Value = 1
New Value = 2
Increase of 100%
Solution b)
Old Value = 2
New Value = 3
Increase of 50%.
Solution c)
Old Value = 3
New Value = 2
Decrease of 33.33%.
Solution d)
Old Value = 2
New Value = 1
Decrease of 50%.
Solution e)
Old Value = 1
New Value = 3
Increase of 200%.
Solution f)
Old Value = 3
New Value = 1
Decrease of 66.67%.
So, the answer is:
(a) Increased by 100%
(b) Increased by 50%
(c) Decreased by 33.33%
(d) Decreased by 50%
(e) Increased by 200%
(f) Decreased by 66.67%
