M4.L3 1. Why did we change part to quantity in the percent formula?
→ Because you can get more than 100 percent
2. Explain how to decide which quantity in a problem should represent the
whole.
3. Solve each problem using an equation.
a. 37.5 is what percent of 30?
b. 68 is what percent of 160?
C. What percent of 64 is 88?
4. This year, Benny is 8 years old, and his mom is 40 years old.
a. What percent of his mom's age is Benny's age?
b. What percent of Benny's age is his mom's age?
C. In two years, what percent of his age will Benny's mom's age be at that
time?
d. In 8 years, what percent will Benny's mom's age be of his age?
5. This year, Benny is 8 years old. His brother Lenny's age is 175% of Benny's
age. How old is Lenny?
6. When Benny's sister Penny is 24, Benny's age will be 125% of her age.
a. How old will Benny be then?
→
→
b. If Benny is 8 years old now, how old is Penny now? Explain your
reasoning
+
Pls help

hope it you

step-by-step explanation:

sin(7pi/6 - pi/3)  

= sin(7pi/6 - 2pi/6)  

= sin(5pi/6)  

= sin(pi - pi/6)  

= sin(pi/6)  

= 1/2  

sin 7pi/6 - sin pi/3  

= sin (pi + pi/6) - sin pi/3  

= -sin pi/6 - sin pi/3  

= -1/2 - sqrt(3)/2  

= -(1+sqrt(3))2

7.25

step-by-step explanation:

we know that 7 equals to 7.0. we also know that 1/4=0.25. so we can add the two together and we get 7.25

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like:

answer: 5

step-by-step explanation:

since, the range is the difference between the lowest and highest values of the given sample space.

and, here the sample space = { 3, 1, 0, 4, 1, 4, 2, 3, 0, 5, 0, 1, 1, 2, 0, 4, 1,4, 4 ,2 ,3 ,2 ,0 ,1 ,4 }

here, the highest value of the given sample = 5

and, the lowest value = 0

therefore, the range of the sample space = 5 - 0 = 5