Answer: He can raise up to 40 goats and 100 llamas.
Step-by-step explanation:
Hi, to answer this question we have to write system of equations with the information given:
The space each goat needs (4) multiplied by the number of goats (x); plus The space each llama needs (10) multiplied by the number of llamas must be less or equal to the acre land available (800)
4x +10y ≤ 800 (acres)
The amount of veterinary care (in $) each goat needs (110) multiplied by the number of goats (x); plus The amount of veterinary care each llama needs (88) multiplied by the number of llamas (y)must be less or equal to the Rancher's budget.(14520)
110x +88y ≤ 14,520 (cost)
Multiplying the first equation by 27.5, and subtracting the second equation to the first one:
110x + 275y ≤22,000
-
110x +88y ≤ 14,520
____________
187y ≤ 7480
y ≤ 7480/187
y ≤ 40
Replacing y in the first equation
4x +10(40) ≤ 800
4x +400 ≤ 800
4x ≤ 800-400
4x ≤ 400
x ≤ 400/4
x ≤ 100
Answer:
Step-by-step explanation:
Given
Required
Determine the line equation
First, we calculate the slope (m) using
The equation is then calculated using:
Open bracket
It's asking you to shift the graph of; y = 5x up 3 units. if you add 3 to the equation, all y-values will be increased by 3 this shifts the graph up exactly 3 units.
y = 5x + 3
80÷12= 6 2/3
12×12×12×12×12×12=72
so 12 goes into 80 evenly 6 times, but there is a remainder so you have to include it
80-72=8
so that leaves you with 8/12 which is 2/3 when simplified
now you have 6 + 2/3 = 6 2/3
Answer:
37
Step-by-step explanation
Do what is in the parenthesis first
(5)+4^2x(2)
Exponents next
4^2=16
5+16x2
Multiplication next
16x2=32
You're left with the equation 5+32=37
