Answer: 1.55, and -0.83
Step-by-step explanation:
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)
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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:
An expression that would show how much the student paid is 3(4) + 0.95, which can be solved to be 12.95
Step-by-step explanation:
We know that we need to multiply the number of cans (3) by the price of the cans (4). We also know the sales tax for the total is 0.95, which can simply be added to the end.
Answer:
x = 30, x = 5 and x = 9
Step-by-step explanation:
The diagonals of a square are perpendicular bisectors of each other, so
∠ AEB = 90° , then
3x = 90 ( divide both sides by 3 )
x = 30
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(9)
The 4 angles of a square are right and the diagonals bisect the angles, then
∠ BAC = 45° , so
9x = 45 ( divide both sides by 9 )
x = 5
-------------------------------------------------------
(10)
All sides are congruent , so
CD = AB , that is
3x - 5 = 2x + 4 ( subtract 2x from both sides )
x - 5 = 4 ( add 5 to both sides )
x = 9
