Answer:
9. n=-15 , 10. f=6, sorry i can't help you more I am just tired and have to get some rest but i hope this helps
Step-by-step explanation:
9. Eight less than 1/3 a number n is -13
so -13 = 1/3n -8
then
-5 = 1/3n
multiply 3 to each side
-15 = n
10. a number f multiplied by -12.3 is -73.8
so -12.3f= -73.8
divide -12.3 on each side
so f=6
Convert all the numbers to real numbers:
6√3 = 10.3923
(3.5)^2 = 12.25
√75 = 8.660
9.8 = 9.8
57/5 = 11.4
A) Now order from largest to smallest:
(3.5)^2, 57/5, 6√3, 9.8, √75
B) We found the order by solving the equations to get real numbers.
C)
Since the numbers are multiplied by a negative number, the greatest number would be the smallest number because it would be closer to zero.
The order would be the reverse of part A:
x√75, 9.8x, 6x√3, 57x/5, x(3.5)^2
D) I replaced x with -1 and calculated for real numbers. All the values were the same as A except they were the negative value.
<span>–1 + 6(–1 – 3x) > –39 – 2x.
Multiply the number outside of the parenthesis(6) by the numbers inside of the parenthesis(-1 and -3x)
-1 - 6 - 18x> -39 - 2x
Add 2x to both sides so that the x variable is only on one side
-1 - 6 - 16x> -39
Add 1 to both sides
-6 - 16x> -38
Add 6 to both sides
-16x> -32
Divide both sides by -16 so that the only thing that remains is the variable x on one side. Also, since you are dividing by a negative number, you automatically flip the greater than side to less than.
Final Answer: x< -2</span>
constraint 1
let
x = number of cups of chocolate
y = number of cups of vanilla
The equation that represents the total number of ice cream is:
x + y = 24
constraint 2
the ratio of the number of chocolate cups to vanilla cups is
y = (1/2) x
Using equations 1 and 2, you can find the number of cups of each favor required.
answer:
x + y = 24
y = (1/2) x
