Yes, this is a linear equation with a constant rate of change (a slope) so the sets of values of the graph are proportional
Answer and explanation:
Given : Equations
1) 
2) 
To find : Tell whether the following equations are true or false. Then, explain your reasoning.
Solution :
Equation means when left hand side and right hand side of the equation is same.
1)
Take LHS,
Same term with opposite sign cancel each other or sum is zero,
Therefore, Yes, it is true as it satisfy definition of equation.
2)
Take LHS,
Same term with opposite sign cancel each other or sum is zero,
Therefore, Yes, it is true as it satisfy definition of equation.
Answer:
70 cabinets in method 1 and 24 cabinets in method 2.
Step-by-step explanation:
Let in method 1 they refinish x cabinets and in method 2 they refinish y cabinets.
Now, given that method 1 and method 2 takes 1 hour and 1.5 hours respectively and the material costs for method 1 and method 2 are $6 and $4 respectively.
If they plan to spend 106 hours in labour and $516 in material for refinishing cabinets, then
x + 1.5y = 106 ...... (1) and
6x + 4y = 516 ....... (2)
Now, solving equations (1) and (2), we get
6 (106 - 1.5y) + 4y = 516
⇒ 5y = 636 - 516
⇒ y = 24 cabinets
From equation (1) x = 106 - 1.5y = 106 - 36 = 70 cabinets. (Answer)
The total should be 287.59. You add the numbers (127.12+94.50+65.97) and it should equal to that.
Answer:
adults tickets=1384
kids:616 tickets
1384-616= 768 tickets
Step-by-step explanation:
let x be adult tickets and y kids
x+y=2000 ⇒x=2000-y
20x+12y=35072 solve by substitute for x=2000-y
20(2000-y)+12y=35072
40000-20y+12y=35072
-8y=35072-40000
-8y=-4928
y=-4928/-8
y=616
x=2000-616
x=1384 tickets
check:
20(1384)+12(616)=35072 ( correct)
