Answer:
17/49 or about 34.7%
Step-by-step explanation:
George has 85 cards out of 245 cards that are pitchers. Whever you hear "out of", it means to divide.
85/245 are pitchers.
you can simplify since 5 fits in both of those numbers
5*17=85
5*49=245
So, 17/49 or about 34.7%
X represents the length of a deck. There are three parts to this equations. The 1. width, 2. the length, and 3. the 5 feet shorter. Using the key words, y = the width of a deck (uses the term is which means =) So that takes the width part out of the equation. Then, 5 feet shorter means -5 than a number. That takes away the 5 feet shorter part of the equation. That leaves x to equal the length of the deck.
There are many theories and measurement for the speed of light. It is believed that light travels at 299,792 km per second. In the earlier day philosopher Aristotle believed that light didn't travel but happens instantaneously. Therefore, for Galileo and his assistant to be only 1km apart, I would have to agree with Aristotle theory of light traveling instantaneously.
We are given that we have $25 to pay for 6 fishing lures.
We can make an equality for this as follows:
Suppose price of one fishing lure is x dollars.
So we will use unitary method to find price of 6 fishing lures.
Price of 6 fishing lures = 6 * ( price of one fishing lure) = 6* x = 6x
Now we only have 25 dollars with us, so the price of 6 fishing lures has to be less than or equal to 25 dollars.
So creating an inequality,
Now in order to find price for one fishing lure, we have to solve this for x.
Dividing both sides by 6 we have,
Converting to decimal,
Answer : The price of one fishing lure must be less than or equal to $4.167
Answer:
Step-by-step explanation:
Given equation is,
x² + (p + 1)x = 5 - 2p
x² + (p + 1)x - (5 - 2p) = 0
x² + (p + 1)x + (2p - 5) = 0
Properties for the roots of a quadratic equation,
1). Quadratic equation will have two real roots, discriminant will be greater than zero. [(b² - 4ac) > 0]
2). If the equation has exactly one root, discriminant will be zero [(b² - 4ac) = 0]
3). If equation has imaginary roots, discriminant will be less than zero [(b² - 4ac) < 0].
Discriminant of the given equation =
For real roots,
p² + 2p + 1 - 8p + 20 > 0
p² - 6p + 21 > 0
For all real values of 'p', given equation will be greater than zero.