Answer: 143 hamburgers and 429 cheese burgers
Explanation:
Call h and c the number of both items.
(h-hamburger and c-cheeseburger)
h + c = 572
c = 3h
Sub the second into the first
h + 3h = 572
4h = 572
Divide both sides by 4
h = 143 hamburgers
Use this back into the second equation
c = 3 • 143 = 429 cheeseburgers
Answer:
k = 4, y = 4x
Step-by-step explanation:
From the question, we get the ratio of :
x : y = 1 : 4
Two variables are proportional to each other if their ration is constant. The constant value is denoted by 'k' and is called as constant of proportionality.
In the question, the two variables are :
x = glasses of lemonade
y = lemons used
From the question, the ratio of y is to x is given by :
y : x is 24 : 6 = 4 : 1 or 24/6 = 4
32 : 8 = 4 : 1 or 32/8 = 4
28 : 7 = 4 : 1 or 28/7 = 4
8 : 2 = 4 : 1 or 8/2 = 4
16 : 4 = 4 : 1 or 16/4 = 4
So here the constant is 4 . Therefore, the constant of proportionality, k is 4.
So we can write the equation as :
y = kx
or y = 4x
Divide the second price by the second pounds. 9.95 / 5 = 1.99
So for every pound you get you pay 1.99 dollars. The second deal is better.
Your surface area is: S=x^2+4xh=84 square inches and h=2 inches; so you get:
x^2+(4×2)x=84
x^2+8x-84=0 qhich is a quadratic equation. Using the quadratic formula you get two results for x:
x1=-14 and x2=6
choose the second (positive)
Answer
It would be 1
Step-by-step explanation: