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If 0.3 is added to 0.2 times the quantity x - 3, the result is 2.5. What is the value of x?
The statement, "If 0.3 is added to 0.2 times the quantity x - 3, the result is 2.5," translates to the equation 0.2(x - 3) + 0.3 = 2.5. Remember to use parentheses for the expression when the words the quantity are used. Use the distributive property on the left side of the equation: 0.2x - 0.6 + 0.3 = 2.5. Combine like terms on the left side of the equation: 0.2x + -0.3 = 2.5. Add 0.3 to both sides of the equation: 0.2x + -0.3/2.8 + 0.2x/2.8 +0.3 = 2.5 + 0.3. Simplify: 0.2x 2.8. Divide both sides by 0.2 The variable is now alone: x = 14.
The base of an isosceles triangle and the altitude drawn from one of the congruent sides are equal to 18cm and 15cm, respectively. Find the lengths of the sides of the triangle.
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Let m be a positive integer with m>1. Find out whether or not the subsequent relation is an equivalent relation. R = {(a,b)|a ≡ b (mod m)} Ans: Relation R is illust
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