If he'll have 5 tests and the average is 90, this means that the scores of each test added must be equal to 90 * 5 or 450.
450 = 90 + 82 + 95 + 86 + x
450 = 353 + x
97 = x which means that he must get a 97% on the fifth test to have an average of 90%
2(7n-3)=-n+114
14n-6=-n+114
15n=120
n=8
check...
2(7*8-3)=-8+114
2(56-3)=106
2(53)=106
106=106
Answer:
See below.
Step-by-step explanation:
The square root of a number is a number than when multiplied by itself, you get the original number.
For example, the square root of 4 is 2 since 2 * 2 = 4, but the square root of 4 is also -2 since (-2) * (-2) = 4. Since the product of 2 negative numbers is positive, and the product of two positive numbers is also positive, each positive integer has two square roots, one positive and one negative.
The cubic root of a number is a number that when you cube you get the original number. To cube a number, you must find the product of 3 equal numbers. For example, the cubic root of 8 is 2 since 2 * 2 * 2 = 8. The cubic root of 8 cannot be -2 since (-2) * (-2) * (-2) = -8, not 8. When you multiply 3 positive numbers together, the product is positive. When you multiply three negative numbers together, the product is negative. Because of this, a positive number has a positive cubic root, and a negative number has a negative cubic root. A positive integer has only one cubic root.
Set up an equation of ratios as shown below:
h 24 ft 4
----- = ---------- = ---
4 6 ft 1
Cross multiplying the 1st and 3rd fractions, we get h=16 ft (answer)
The answer to your question is -19
