9. Traveling: You are planning a trip of 615 miles (round trip), and you know that your car gets an average of 27 miles per gallon of gas. You also know that your gas tank holds 15 gallons of gas. a. How many gallons of gas will you use on this trip? b. If the gas you buy costs $2 per gallon, how much should you plan to spend on this trip for gas?
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
![**Applications**
**Solve:**
**8.** \[
7 \dfrac{1}{5} + 3 = \dfrac{36}{5}
\]
\[= \dfrac{36}{5} - \dfrac{5}{1} = \dfrac{36}{5} - \dfrac{25}{5} = \dfrac{11}{5} = 2 \dfrac{1}{5}\]
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**9. Traveling:** You are planning a trip of 615 miles (round trip), and you know that your car gets an average of 27 \(\dfrac{1}{3}\) miles per gallon of gas. You also know that your gas tank holds 15 \(\dfrac{1}{2}\) gallons of gas.
- a. How many gallons of gas will you use on this trip?
- b. If the gas you buy costs $2 per gallon, how much should you plan to spend on this trip for gas?
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**10. Triangles:** A right triangle is a triangle with one right angle (measure 90°). The two sides that form the right angle are called legs, and they are perpendicular to each other. The longest side is called the hypotenuse. The legs can be treated as the base and height of the triangle. Find the area of the right triangle shown here.
*A shaded right triangle:*
- **Base:** 5 cm
- **Height:** 4 cm](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe31215b4-72f7-4c8b-8a08-b3608e18739f%2F7898cb4a-a28d-4ec9-8e5b-6128f6980b7e%2Fvgrpvj_processed.jpeg&w=3840&q=75)
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