Answer:
a) x = 260
b) g = 218
c) z = 30
d) h = 5
Step-by-step explanation:
a) ![x-68=192](https://tex.z-dn.net/?f=x-68%3D192)
Predict a number; let's say x = 225
![225-68=192\\157=192](https://tex.z-dn.net/?f=225-68%3D192%5C%5C157%3D192)
Too low; try with a higher number; let's say x = 270
![270-68=192\\202=192](https://tex.z-dn.net/?f=270-68%3D192%5C%5C202%3D192)
Too high, we're closer.
x = 260
![260-68=192\\192=192](https://tex.z-dn.net/?f=260-68%3D192%5C%5C192%3D192)
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b) ![g+33=251](https://tex.z-dn.net/?f=g%2B33%3D251)
let's say g = 230
![230+33=251\\263=251](https://tex.z-dn.net/?f=230%2B33%3D251%5C%5C263%3D251)
Too high. Try g = 221
![221+33=251\\254=251](https://tex.z-dn.net/?f=221%2B33%3D251%5C%5C254%3D251)
We're almost there. Let's try with g = 218
![218+33=251\\251=251](https://tex.z-dn.net/?f=218%2B33%3D251%5C%5C251%3D251)
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c) ![3z-16=74](https://tex.z-dn.net/?f=3z-16%3D74)
Let's try with z = 15
![3(15)-16=74\\45-16=74\\29=74](https://tex.z-dn.net/?f=3%2815%29-16%3D74%5C%5C45-16%3D74%5C%5C29%3D74)
Too low; try a higher number. z = 30
![3(30)-16=74\\90-16=74\\74=74](https://tex.z-dn.net/?f=3%2830%29-16%3D74%5C%5C90-16%3D74%5C%5C74%3D74)
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d) ![15h+9=84](https://tex.z-dn.net/?f=15h%2B9%3D84)
Let's try with h = 6
![15(6)+9=84\\90+9=84\\99=84](https://tex.z-dn.net/?f=15%286%29%2B9%3D84%5C%5C90%2B9%3D84%5C%5C99%3D84)
Too high; let's try with h = 5
![15(5)+9=84\\75+9=84\\84=84](https://tex.z-dn.net/?f=15%285%29%2B9%3D84%5C%5C75%2B9%3D84%5C%5C84%3D84)
Answer:
C) 7/2 minutes per lap
Step-by-step explanation:
7 laps/ 2minutes. To find how many minutes it takes Beth to swim one lap, which is her in minutes per lap, you have to divide 7/2 to get 3.5 min/1 lap, or 7/2 min/1 lap.