Perform the indicated operation and reduce your answer if possible.


Mathematics

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Find the indicated cardinal number.Find n(G), given that n(D × G) = 20 and D = {7, 8, 9, 10}.

A. 4 B. 24 C. 9 D. 5

Mathematics

Provide an appropriate response.Suppose you want to solve the following problem. A teacher can grade 7 essays in 2 hours. At this rate, how many essays will she be able to grade in 5 hours? Which of the following proportions will give the correct answer?      

A. (i) only B. (i) and (iv) C. (ii) and (iv) D. (iii) only

Mathematics

Determine whether the given relationship defines a function. If so, identify the independent and dependent variable, and why the relationship is a function.The temperature t on a backyard thermometer at 5 pm on a given day x.

A. No B. Yes; x, t; there is one temperature t on any given day x at 5 pm.

Mathematics

Solve. If needed, round money amounts to two decimal places and all other amounts to one decimal place.A chemist needs 100 milliliters of a 41% solution but has only 33% and 53% solutions available. Find how many milliliters of each that should be mixed to get the desired solution.

A. 60 ml of 33%; 40 ml of 53% B. 70 ml of 33%; 30 ml of 53% C. 30 ml of 33%; 70 ml of 53% D. 40 ml of 33%; 60 ml of 53%

Mathematics