<u>Shorter term class:</u>
You pay $200 for 54 classes in total. So,
dollars per class (rounded to 3 decimal places)
<u>Longer term class:</u>
You pay $350 for 108 classes in total, So,
dollars per class (rounded to 3 decimal places)
Hence, by taking longer term classes, you save around
dollars.
Rounding to 2 decimal places, you save $0.46 per class.
ANSWER: You save $0.46 per class.
Answer:
→<u> </u><u>First</u><u> </u><u>value</u><u> </u><u>is</u><u> </u><u>1</u>
→<u> </u><u>Second</u><u> </u><u>value</u><u> </u><u>is</u><u> </u><u>2</u>
→<u> </u><u>Third</u><u> </u><u>value</u><u> </u><u>is</u><u> </u><u>5</u>
Step-by-step explanation:
• let numbers be x, y and z
![{ \tt{z = 8y - 9 - - - (eqn \: 1)}} \\ \\ { \tt{10x = 8y - 7 - - - (eqn \: 2)}} \\ \\ { \tt{x + y + z = 8 - - - (eqn \: 3)}}](https://tex.z-dn.net/?f=%7B%20%5Ctt%7Bz%20%3D%208y%20-%209%20-%20%20-%20%20-%20%28eqn%20%5C%3A%201%29%7D%7D%20%5C%5C%20%20%5C%5C%20%7B%20%5Ctt%7B10x%20%3D%208y%20-%207%20-%20%20-%20%20-%20%28eqn%20%5C%3A%202%29%7D%7D%20%5C%5C%20%20%5C%5C%20%7B%20%5Ctt%7Bx%20%2B%20y%20%2B%20z%20%3D%208%20-%20%20-%20%20-%20%28eqn%20%5C%3A%203%29%7D%7D)
• from eqn 2, make x the subject:
![{ \tt{x = \frac{8y - 7}{10} }} \\](https://tex.z-dn.net/?f=%20%7B%20%5Ctt%7Bx%20%3D%20%20%5Cfrac%7B8y%20-%207%7D%7B10%7D%20%7D%7D%20%5C%5C%20)
• substitute all variables in eqn 3:
![{ \tt{ \frac{8y - 7}{10} + y + 8y - 9 = 8}} \\ \\ { \tt{8y - 7 + 10y + 80y - 90 = 80}} \\ \\ { \tt{98y = 177}} \\ \\ { \boxed{ \tt{ \: y = 1.8}}}](https://tex.z-dn.net/?f=%7B%20%5Ctt%7B%20%5Cfrac%7B8y%20-%207%7D%7B10%7D%20%20%2B%20y%20%2B%208y%20-%209%20%3D%208%7D%7D%20%5C%5C%20%20%5C%5C%20%7B%20%5Ctt%7B8y%20-%207%20%2B%2010y%20%2B%2080y%20-%2090%20%3D%2080%7D%7D%20%5C%5C%20%20%5C%5C%20%7B%20%5Ctt%7B98y%20%3D%20177%7D%7D%20%5C%5C%20%20%5C%5C%20%7B%20%5Cboxed%7B%20%5Ctt%7B%20%5C%3A%20y%20%3D%201.8%7D%7D%7D)
• find z
![{ \tt{z = 8y - 9}} \\ \\ { \tt{z = 8(1.8) - 9}} \\ \\ { \tt{z = 14.4 - 9}} \\ \\ { \boxed{ \tt{ \: z = 5.4 \: }}}](https://tex.z-dn.net/?f=%7B%20%5Ctt%7Bz%20%3D%208y%20-%209%7D%7D%20%5C%5C%20%20%5C%5C%20%7B%20%5Ctt%7Bz%20%3D%208%281.8%29%20-%209%7D%7D%20%5C%5C%20%20%5C%5C%20%7B%20%5Ctt%7Bz%20%3D%2014.4%20-%209%7D%7D%20%5C%5C%20%20%5C%5C%20%7B%20%5Cboxed%7B%20%5Ctt%7B%20%5C%3A%20z%20%3D%205.4%20%5C%3A%20%7D%7D%7D)
• find x:
![{ \tt{x = \frac{8(1.8) - 7}{10} }} \\ \\ { \tt{x = \frac{7.4}{10} }} \\ \\ { \boxed{ \tt{ \: x = 0.74 \: }}}](https://tex.z-dn.net/?f=%7B%20%5Ctt%7Bx%20%3D%20%20%5Cfrac%7B8%281.8%29%20-%207%7D%7B10%7D%20%7D%7D%20%5C%5C%20%20%5C%5C%20%7B%20%5Ctt%7Bx%20%3D%20%20%5Cfrac%7B7.4%7D%7B10%7D%20%7D%7D%20%5C%5C%20%20%5C%5C%20%7B%20%5Cboxed%7B%20%5Ctt%7B%20%5C%3A%20x%20%3D%200.74%20%5C%3A%20%7D%7D%7D)
Rounding to nearest value:
![{ \boxed{ \rm{x = 1}}} \\ { \boxed{ \rm{y =2 }}} \\ { \boxed{ \rm{z = 5}}}](https://tex.z-dn.net/?f=%7B%20%5Cboxed%7B%20%5Crm%7Bx%20%3D%201%7D%7D%7D%20%5C%5C%20%7B%20%5Cboxed%7B%20%5Crm%7By%20%3D2%20%7D%7D%7D%20%5C%5C%20%7B%20%5Cboxed%7B%20%20%5Crm%7Bz%20%3D%205%7D%7D%7D)
Answer:
Step-by-step explanation:
C stands for circumference of the circle.
3\x=15\40
3(40)=x(15)
120=15x divide both sides by 15
x=8
Answer:
8 and 4 = 8
8 and 10 = 40
Step-by-step explanation:
The least common multiple is the smallest value that both numbers equal when you look at their multiples.
The multiples of 8 are 8, 16, 24, 32, 40...
The multiples of 4 are 4, 8, 12, 16, 20, 24, 28, 32...
The multiples of 10 are 10, 20, 30, 40...
The first multiple 8 and 4 have in common is 8.
The first multiple 8 and 10 have in common is 40.