Answer:
z = 21 ; y= 16
Step-by-step explanation:
first of all we have to isolate a variable.
In second expression we can obtain:
3y = 2z+6
y = 2/3 z + 2
now we have to substitute this value in the first equation and solve it
8(2/3z+2)-5z = 23
16/3z + 16 -5z = 23
16z +48 - 15z = 69
z = 21
now we have to substitute z in the second equation:
y = 2/3 (21) +2
y = 14+ 2 = 16
y = 16
Slope of a Line Passing through two points (x₁ , y₁) and (x₂ , y₂) is given by :

Given Points are (-3 , 5) and (6 , -1)
here x₁ = -3 and x₂ = 6 and y₁ = 5 and y₂ = -1

Option D is the Answer
Answer:
x = 60 cents.
Step-by-step explanation:
The man wants to make up 100 one-pound jars of nuts, it means he will need 100 pounds of nuts. He plans to use 40 pounds of one type of nuts, so he needs 60 pounds of the other type of nuts to get 100 pounds.
Now, with this we can write a linear equation:
(40*0.75)+(60*x) = 100*0.66 (1)
Where:
- 0.75 is the unit price of the 40 pounds of one type of nuts.
- x is the unit price of the 60 pounds of the other type of nuts.
- 0.66 is the unit price of 100 one-pound jars.
Let's solve the equation (1) for x:

Therefore, x = 60 cents.
I hope it helps you!
Answer:
independent quantitative.
Step-by-step explanation:
An indepentent variable in an investigation, is the variable that will be changed in order to know how its variation affects the dependent variable.
In this case, the dependent variable is the test scores since Dr Washington will study there is the numeber of hours of study affects the grade the students obtain.
Therefore, the hours of study are the independent variable.
It is also a quantitative variable since it can be counted.
Answer:
f(x) = 5(4)^x
Step-by-step explanation: