The answer is -12
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Answer:
The total number of cups of coffee sold are 51 which can be expressed in base 
as 
.
Step-by-step explanation:
Considering the following information
cup = cup
pints = 
cups ∵ pint = cups
quarts = 
cups ∵ quart = 
cups
So, total number of cups will be = 
cups
Converting to the base
Divide by by repeatedly and observe remainder
Read and observe the remainder from top to bottom would yield .
Therefore, the total number of cups of coffee sold are 51 which can be expressed in base as .
<em>Keywords: base 2, number</em>
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Answer:
5x +4y
Step-by-step explanation:
The perimeter of a triangle is the sum of side lengths. That fact can be used to find z, the length of the third side.
(2x +3y) +(5x -2y) +z = 12x +5y . . . . sum of sides is perimeter
z = (12x +5y) -(7x +y) . . . . . . . . . . . . subtract (7x+y) from both sides
z = 5x +4y . . . . . . . . . collect terms; the length of the third side
The third side of the triangle is (5x +4y).
Answer: m = d/4 - n/4
Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.
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Substitute y = 2x - 15 to the second equation:
4x + 3(2x - 15) = -5 use distributive property
4x + (3)(2x) + (3)(-15) = -5
4x + 6x - 45 = -5 add 45 to both sides
10x = 40 divide both sides by 10
x = 4
Substitute the value of x to the equation y = 2x - 15:
y = 2(4) - 15 = 8 - 15 = -7
<h3>Answer: (4, -7)</h3>
