Let's solve each question step by step.
Question 3
A) Multiply −116 by 7. Write the answer as a mixed number.
To multiply: \[ -116 \times 7 = -812 \] Now, as a mixed number, since -812 is an integer, we can represent it as: \[ -812 = -812 \frac{0}{1} \] So the answer is: \[ -812 \]
Question 4
A) Of the cars in a used-car lot, 25 are the color gray. 13 of the gray cars are electrically powered vehicles. What fraction of the cars on the lot are both gray and electrically powered?
First, we need the total number of cars in the lot. If 25 gray cars are present and 13 of them are electrically powered, the fraction of cars that are both gray and electrically powered is: \[ \frac{13}{\text{total number of cars}} \] Since we are not given the total number of cars, we cannot provide a numerical answer. However, assuming the total number of cars in the lot is known (let's say it's T), then the answer will be: \[ \frac{13}{T} \] This needs a total count (let’s represent it as T); otherwise, the answer stays: \[ \frac{13}{25} \text{ (if only focusing on gray cars.)} \]
Question 5
A) Lake Profondo has a depth of 84 feet. Lake Segundo is 56 as deep. What is the elevation at the bottom of Lake Segundo?
If Lake Profondo is 84 feet deep, and Lake Segundo is 56 feet deep as well, then: To find the elevation at the bottom of Lake Segundo: \[ \text{Elevation at the bottom of Lake Segundo} = -56 \text{ ft (below sea level)} \] So the answer is: \[ -56 \text{ ft} \]
Question 6
A) Divide −72 by −4. Then divide the quotient by −9. What is the final quotient?
First, calculate: \[ -72 \div -4 = 18 \] Then, divide the quotient by -9: \[ 18 \div -9 = -2 \] So the final answer is: \[ -2 \]
In summary, the answers are:
- Question 3: -812
- Question 4: \(\frac{13}{\text{total number of cars}}\)
- Question 5: -56 ft
- Question 6: -2