Section 1.5 - Rational Number Operations

Explanation
The given expression involves adding two mixed numbers. To add mixed numbers, we first add the whole numbers together and then add the fractions together. In this case, the whole numbers -3 and -6 add up to -9. The fractions 2/3 and 2/5 have different denominators, so we need to find a common denominator. The least common multiple of 3 and 5 is 15. We convert 2/3 to 10/15 and 2/5 to 6/15. Adding 10/15 and 6/15 gives us 16/15, which simplifies to 1 and 1/15. Therefore, the final answer is -9 1/15, which can also be written as -10 1/15.

Explanation
When you multiply two numbers, the product will be negative if one factor is negative and the other is positive. This is because when you multiply a positive number by a negative number, the result is always negative. Therefore, if one factor is negative and the other is positive, their product will be negative.

Explanation
The correct answer is -23 1/3 C. To convert Fahrenheit to Celsius, we use the formula C = 5/9(F - 32). Plugging in -10 for F, we get C = 5/9(-10 - 32) = 5/9(-42) = -210/9 = -23 1/3 C.

Explanation
To evaluate the expression, we first need to simplify the fractions. The common denominator for 5 and 8 is 40, so we can rewrite 3/5 as 24/40 and 5/8 as 25/40. Next, we subtract these fractions to get -1/40. Finally, we multiply this result by -2/3, which gives us 2/120 or simplified as 1/60. Therefore, the correct answer is 1/60.

Explanation
The given expression involves multiplication and subtraction. We start by subtracting 1.9 from 3.6, which gives us 1.7. Then, we multiply 2.8 by 1.7, resulting in 4.76. Finally, we multiply -4.5 by 4.76, giving us -21.42. Therefore, the correct answer is -21.42.

Explanation
The mean score of -2.25 indicates that, on average, each golfer scored -2.25. Since there were 60 golfers, their combined score can be calculated by multiplying the mean score by the number of golfers. Therefore, the combined score is -2.25 * 60 = -135.

Explanation
The expression involves multiplication and division of mixed numbers. To simplify, we first convert the mixed numbers to improper fractions. Then we multiply 2 and 3/8 to get 19/8. Next, we multiply 19/8 by -5/6 to get -95/48. Finally, we divide -95/48 by 3/4, which is the same as multiplying by the reciprocal, 4/3. This gives us -380/144, which simplifies to -95/36 or -2 23/36.

Explanation
To find the missing number in the equation, we need to isolate it. We can start by multiplying both sides of the equation by the reciprocal of -2 1/2, which is -2/5. This cancels out the fraction on the left side, leaving us with just the missing number. On the right side, -1 multiplied by -2/5 is equal to 2/5. Therefore, the missing number that makes the equation true is 2/5.

Explanation
To convert the temperature from Celsius to Fahrenheit, we can use the formula F = (9/5)C + 32. In this case, the Celsius temperature is -25. Plugging this value into the formula, we get F = (9/5)(-25) + 32 = -45 + 32 = -13. Therefore, the low temperature in degrees Fahrenheit is -13 F.