Aaron the car wash owner had 228 quarters and 120 dimes.
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Equation</h3>
An equation is an expression used to show the relationship between two or more variables and numbers.
Let x represent the number of quarters and y represent the number of dimes. Hence:
x = 90% of y + y
x = (0.9y) + y
x - 1.9y = 0 (1)
Also:
0.25x + 0.1y = 69 (2)
From both equations:
x = 228, y = 120
Aaron the car wash owner had 228 quarters and 120 dimes.
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Answer:
(D) -k2 + k - 13
Step-by-step explanation:
Pulling out like terms :
2.1 Pull out like factors :
-k2 + k - 13 = -1 • (k2 - k + 13)
Trying to factor by splitting the middle term
2.2 Factoring k2 - k + 13
The first term is, k2 its coefficient is 1 .
The middle term is, -k its coefficient is -1 .
The last term, "the constant", is +13
Step-1 : Multiply the coefficient of the first term by the constant 1 • 13 = 13
Step-2 : Find two factors of 13 whose sum equals the coefficient of the middle term, which is -1 .
-13 + -1 = -14
-1 + -13 = -14
1 + 13 = 14
13 + 1 = 14
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Final result :
-k2 + k - 13
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Answer:
x=3
Step-by-step explanation:
(x−3)^2=0
Set the x−3 equal to 0.
x−3=0
Add 3 to both sides of the equation.
x=3
