Answer:
(0,4)
Step-by-step explanation:
The y intercept is where the x value is zero
x=0 and y =4
The y intercept is (0,4)
Answer:
First choice:

Explanation:
<em>The probability that the first is a man's card and the second, a woman's card</em> is calculated as the product of both probabilities, taking into account the fact that the second time the number of cards in the hat has changed.
In spite of it is said that the cards are drawn at once, since it is stated a specific order for the cards (first is a man's card and the second, a woman's card) you can model the procedure as if the cards were drawn consecutively, instead of at once.
<u>1. Probability that the first is a man's card</u>
- Number of cards in the hat = 20 (the 20 business card)
- Number of man's card in the hat: 10
- Probability = favorable oucomes / possible outcomes = 10/20 = 1/2.
<u />
<u>2. Probability that the second is a woman's card</u>
- Number of cards in the hat = 19 (there is one less card in the hat)
- Number of wonan's card in the hat: 10
- Probability = favorable oucomes / possible outcomes = 10/19.
<u>3. Probability that the first is a man's card and the second, a woman's card</u>
<u />
That is the first choice.
Answer: infinitely many solutions
Step-by-step explanation: 6y = -3x + 30 rewrites to 3x + 6y = 30
1. align equations x + 2y = 10
3x + 6y = 30
2. multiply first equation by -3 to get -3x - 6y = -30
3. align equations -3x - 6y = -30
3x + 6y = 30
4. add the equations and you they cancel out, which means infinitely many solutions
<em>Question:</em>
<em>If one basket contains five bottles each weighing 7 1/4 and the other basket has six apples each weighing 6 1/2 ounces. Which basket is heavier and by how much
?</em>
Answer:
The basket of bottles weighs more than the basket of apples by
ounces
Step-by-step explanation:
Given




Required
Determine which basket is heavy
and by how much?
First, we need the total weight of each basket.
For the bottles' basket






For the bottles' basket






By comparing both total weights, 
Hence:
The basket of bottles weighs more than the basket of apples
Calculating the difference:





Hence:
It weighs more by
ounces