What are the 2 roots of the equation 2x^2-5x-3=0
1 answer:
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If Brandi purchases x albums and y singles, then x albums cost $10x and y singles cost $y. She wants to spend no more than $25 total, then
Brandi wants to purchase at least 5 singles. This means that
Note that x and y are whole numbers.
There are three possibility:
- x = 0, y = 25 (the total cost is 10·0 + 1·25 = 25 ≤ 25 and 25 singles is more than 5 singles);
- x = 1, y = 15 (the total cost is 10·1 + 1·15 = 25 ≤ 25 and 15 singles is more than 5 singles);
- x = 2, y = 5 (the total cost is 10·2 + 1·5 = 25 ≤ 25 and 5 singles is equal to minimal required number of singles).
Answer: 1) 0 albums and 25 singles;
2) 1 album and 15 singles;
3) 2 albums and 5 singles.
Answer:
The length of the shortest side on the blueprint is <u>10 centimeters</u>.
Step-by-step explanation:
Given:
George is an landscape architect and is designing his backyard in a blueprint. In the yard, he wants a garden in the shape of a triangle. The length of the longest side of the garden will be 600 centimeters, and the length of the shortest side of the garden will be 400 centimeters. If the length of the garden's longest side on the blueprint is 15 centimeters.
Now, to find the length of the shortest side on the blueprint by using an equation.
Let the length of the shortest side on the blueprint be
The length of the garden's longest side on the blueprint = 15 centimeters.
The length of the longest side of the garden = 600 centimeters.
The length of the shortest side of the garden = 400 centimeters.
If, 600 centimeters is equivalent to 400 centimeters.
So, 15 centimeters is equivalent to .
Now, to set an equation that can be used to get the length of the shortest side on the blueprint through cross multiplication method:
<em>By cross multiplying we get:</em>
<em>Dividing both sides by 600 we get:</em>
Therefore, the length of the shortest side on the blueprint is 10 centimeters.