Answer:
Given that Angelo spends the same amount every day from the amount in
the lunch card, the function of the amount remaining is a linear function.
The constant rate of change of the function is; -5.25
The two ordered pairs used to find the constant rate of change are; (1, 44.75) and (2, 39.5)
Reasons:
The amount Angelo's mother put on the lunch card = $50
A possible table of values to the question is presented as follows;
Required:
The constant rate of the function that gives the amount remaining from the
amount Angelo's mother put on his lunch card.
Solution:
The two ordered pairs that can be used to find the slope or constant rate of change are;
(x₁, y₁) = (1, 44.75), and (x₂, y₂) = (2, 39.5)
With the above two ordered pairs, we have the constant rate of change of the function given as follows;
The constant rate of change for the function that gives the amount remaining in the lunch card is; -5.25
The volume of a quadrangular base pyramid is:
V = (1/3) * (Ab) * (h)
Where,
Ab: base area
h: height
Clearing the area of the base we have:
Ab = (3 * V) / (h)
Answer:
An expression that represents the area of the base of the pyramid is:
A) 3v / h units
Answer:
1:1.5 or 2:3 or 4:6 or 8:12, etc. is the ratio
Step-by-step explanation:
Let's represent the unknown number with Y
So it says 5 times the sum of Y plus 3 equals 8 times Y minus 9
That is represented as;
5(Y+3)=8Y-9
First of all, multiply 5 by what is in the bracket. That will be 5Y+15
(5 times Y is 5Y and 5 times 3 is 15)
Therefore;
5Y+15=8Y-9
Collect like terms. So -9 will go over the equality sign to become +9. The same applies to 5Y
15+9=8Y-5Y
24=3Y
Divide both sides by 3
24 divided by 3 is 8. So Y= 8
The number is 8 which is B