Mathematics, 01.01.2020 18:31 nett4386

Your test scores in one class are 82 and 86. what possible scores can you earn on your next test to have a test average between 84 and 89 inclusive ?

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Answer from: anilauferc

84 ≤ x ≤ 99 (you need between 84 and 99 points to have an average score between 84 and 89.

Step-by-step explanation:

You want your average score to be between 84 and 89. The average score will come from the first two tests, and from the third test, which you don't know the score of yet, we write this into an inequality like this...

Step 1: Set up an inequality using the given information

84 ≤ (82 + 86 + x)/3 ≤ 89 the middle term represents the average score

Step 2: Solve the inequality...

252 ≤ 82 + 86 + x ≤ 267 (multiply all 3 terms by 3 to get rid of the fraction)

252 ≤ 168 + x ≤ 267 (simplify the middle term, 82 + 86 = 168)

84 ≤ x ≤ 99 (subtract 168 from all 3 sides to isolate x)

(252 - 168 = 84, 267 - 168 = 99)

So you need a score between 84 and 99 on the third test to have an average score between 84 and 89 on all three tests

Answer from: Quest

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove.

an inaccurate proof leads to errors, or stating results that are not accurate. which wil mess the probelm up you dont want this

Answer from: Quest

Answercounterclockwise rotation about the origin by 180 degrees followed by reflection about the y-axisexplanationthe given figure has vertices $p(1,2),q(2,1),r(3,2),s(3,3)$ recall that for counterclockwise rotation about the origin, $(x,y)\rightarrow (-x,-y)$ when we rotate figure pqrs counterclockwise through an angle of 180° about the origin, the coordinates will become $p1( - 1, - 2),q1( - 2, - 1),r1( - 3, - 2),s1( - 3, - 3)$ next, we reflect in the y-axis by negating the x-coordinates of the resulting figure to obtain, $p'(1, - 2),q'(2, - 1),r'(3, - 2),s'(3, - 3)$ therefore the correct answer is c

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