Answer:
(a)96.77%
(b)3.23%
Step-by-step explanation:
Starting with the Michaelis-Menten equation which is used to model biochemical reactions:
Dividing both sides by 
![\dfrac{v}{V_{max}}=\dfrac{[S]}{K_M + [S]}](https://tex.z-dn.net/?f=%5Cdfrac%7Bv%7D%7BV_%7Bmax%7D%7D%3D%5Cdfrac%7B%5BS%5D%7D%7BK_M%20%2B%20%5BS%5D%7D)
Where: 
maximum rate achieved by the system
=The Michaelis constant
![{\displaystyle {\ce {[S]}}}=](https://tex.z-dn.net/?f=%7B%5Cdisplaystyle%20%7B%5Cce%20%7B%5BS%5D%7D%7D%7D%3D)
Substrate concentration
(a) When ![[S]=30K_M](https://tex.z-dn.net/?f=%5BS%5D%3D30K_M)
![\dfrac{v}{V_{max}}=\dfrac{[S]}{K_M + [S]}\\\dfrac{v}{V_{max}}=\dfrac{30K_M}{K_M + 30K_M}\\\dfrac{v}{V_{max}}=\dfrac{30}{1 + 30}\\\dfrac{v}{V_{max}}=\dfrac{30}{31}\\$Expressed as a percentage\\\dfrac{v}{V_{max}}=\dfrac{30}{31}X100=96.77\%](https://tex.z-dn.net/?f=%5Cdfrac%7Bv%7D%7BV_%7Bmax%7D%7D%3D%5Cdfrac%7B%5BS%5D%7D%7BK_M%20%2B%20%5BS%5D%7D%5C%5C%5Cdfrac%7Bv%7D%7BV_%7Bmax%7D%7D%3D%5Cdfrac%7B30K_M%7D%7BK_M%20%2B%2030K_M%7D%5C%5C%5Cdfrac%7Bv%7D%7BV_%7Bmax%7D%7D%3D%5Cdfrac%7B30%7D%7B1%20%2B%2030%7D%5C%5C%5Cdfrac%7Bv%7D%7BV_%7Bmax%7D%7D%3D%5Cdfrac%7B30%7D%7B31%7D%5C%5C%24Expressed%20as%20a%20percentage%5C%5C%5Cdfrac%7Bv%7D%7BV_%7Bmax%7D%7D%3D%5Cdfrac%7B30%7D%7B31%7DX100%3D96.77%5C%25)
(b)When ![K_M=30[S]](https://tex.z-dn.net/?f=K_M%3D30%5BS%5D)
![\dfrac{v}{V_{max}}=\dfrac{[S]}{K_M + [S]}\\\dfrac{v}{V_{max}}=\dfrac{[S]}{30[S] + [S]}\\\\=\dfrac{1[S]}{30[S] + 1[S]}\\=\dfrac{1}{30 + 1}\\\dfrac{v}{V_{max}}=\dfrac{1}{31}\\$Expressed as a percentage\\\dfrac{v}{V_{max}}=\dfrac{1}{31}X100=3.23\%](https://tex.z-dn.net/?f=%5Cdfrac%7Bv%7D%7BV_%7Bmax%7D%7D%3D%5Cdfrac%7B%5BS%5D%7D%7BK_M%20%2B%20%5BS%5D%7D%5C%5C%5Cdfrac%7Bv%7D%7BV_%7Bmax%7D%7D%3D%5Cdfrac%7B%5BS%5D%7D%7B30%5BS%5D%20%2B%20%5BS%5D%7D%5C%5C%5C%5C%3D%5Cdfrac%7B1%5BS%5D%7D%7B30%5BS%5D%20%2B%201%5BS%5D%7D%5C%5C%3D%5Cdfrac%7B1%7D%7B30%20%2B%201%7D%5C%5C%5Cdfrac%7Bv%7D%7BV_%7Bmax%7D%7D%3D%5Cdfrac%7B1%7D%7B31%7D%5C%5C%24Expressed%20as%20a%20percentage%5C%5C%5Cdfrac%7Bv%7D%7BV_%7Bmax%7D%7D%3D%5Cdfrac%7B1%7D%7B31%7DX100%3D3.23%5C%25)
C is the answer because 7+8= 15 and 7x8= 55
You can buy 3 pizzas and 3 drinks
Answer:
30 c + 100 m = 700
c+ m = 14
Step-by-step explanation:
Hi, to answer this question we have to write a system of equations.
The product of the number of movies where the song was played (m) multiplied by the earnings per movie (30) plus the product of the number of commercials where the song was played (m) multiplied by the earnings per commercial, must be equal to $700.
30 c + 100 m = 700
The number of movies (m) plus the number of commercials (c) is equal to 14.
c+ m = 14
The system is:
30 c + 100 m = 700
c+ m = 14
Since the equation is in slope-intercept form, we know from the definition of slope-intercept form that 6 is the y-intercept.
