100% = 2700
4% = 4/100 x 2700/1
4% = 108
108 x 12 = 1296
1296 + 2700 = 3996
Write an equation system based on the problem
For an instance, e stands for the price of a carton of eggs, and b stands for the price of a loaf of bread
"Kate bought 3 cartons of eggs and 5 loaves of bread for $30.07" could be written as 3e + 5b = 30.07 (first equation)
"Melissa bought 2 cartons of eggs and 2 loaves of bread for $14.74" could be written as 2e + 2b = 14.74 (second equation)
Solve the equation system using elimination method
Eliminate b to find e. To eliminate b, we should equalize the coefficient of b.
3e + 5b = 30.07 (multiplied by 2)
2e + 2b = 14.74 (multiplied by 5)
-------------------------------------------
6e + 10b = 60.14
10e + 10b = 73.70
------------------------- - (substract)
-4e = -13.56
e = -13.56/-4
e = 3.39
The price for a carton of eggs is $3.39
Answer:
Step-by-step explanation:
f(x) = x^3 - 3x^2 - 28x + 60
x(x^2-3x-28)+60
Factor the inside of the parenthesis
Multiples of 28: (1X28),(2X14),(4X7). 7-4=3, 7 & 4 is the correct multiple.
x(x-7)(x+3)+60
Roots: 0,7,-3,6
Also you can plug your function into Desmos and see where it crosses the x-axis.
Answer:
x= 7
Step-by-step explanation:
11x-2 = 75
11(7) - 2
77 - 2 = 75
x= 7
Answer:
34cm3
Step-by-step explanation:
Volume of sphere = 4/3 pi x cube of radius
Radius =2cm , pi = 3.142
Volume = 4/3 x 3.142 x 2 x 2 x 2
Volume = 1.3333 x 3.142 x 8
Volume = 33.5cm3
Volume = 34cm3 to the nearest whole number
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