Find the quotient 4.2 ÷7=> 4.2 is our dividend which is a decimal number. 4 as the whole number and 2 is the decimal number.=> 7 is our divisor that will be use to divide with 4.3Let's now start solving:=> 4.2 / 7 = 0.6<span>Thus the quotient of the given data is 0.6 which is also a decimal number same as the divisor.</span>
Answer:
9.7
Step-by-step explanation:
![cos(59)=5/x\\\\x*cos(59)=5\\\\x=5/cos(59)\\\\](https://tex.z-dn.net/?f=cos%2859%29%3D5%2Fx%5C%5C%5C%5Cx%2Acos%2859%29%3D5%5C%5C%5C%5Cx%3D5%2Fcos%2859%29%5C%5C%5C%5C)
x ≈ 9.7
Answer:
A
Step-by-step explanation:
To convert degrees to radians
radian measure = degree measure × ![\frac{\pi }{180}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpi%20%7D%7B180%7D)
Hence
radian measure = 150° × ![\frac{\pi }{180}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpi%20%7D%7B180%7D)
Cancel both 150 and 180 by 30, then
radian measure = 5 ×
= ![\frac{5\pi }{6}](https://tex.z-dn.net/?f=%5Cfrac%7B5%5Cpi%20%7D%7B6%7D)
Write the equation based on the problem
r stands for the price of a regular ticket, v stands for the price of a VIP ticket.
⇒ 69r + 40v = 12,601
⇒ 80r + 55v = 16,300
Solve the equation using elimination method.
I'm eliminating v, so I can find the r. We can eliminate v by changing the coefficient of first and second equation into the same number.
69r + 40v = 12,601 (multiply 11)
80r + 55v = 16,300 (multiply 8)
-----------------------------------------
759r + 440v = 138,611
640r + 440v = 130,400
------------------------------ - (substract)
119r = 8,211
r = 69
Subtitute 69 as r to one of the equation and find v
80r + 55v = 16,300
80(69) + 55v = 16,300
5,520 + 55v = 16,300
55v = 10,780
v = 196
So the price of a regular ticket is $69 and the price of a VIP ticket is $196
Find the difference
difference = 196 - 69
difference = 127
The difference is $127