Answer:
slope = 2
Step-by-step explanation:
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (1, 3) and (x₂, y₂ ) = (4, 9)
m =
=
= 2
Here are the basic steps to follow to simplify an algebraic expression:<span>remove parentheses by multiplying factors.
use exponent rules to remove parentheses in terms with exponents.
combine like terms by adding coefficients.
<span>combine the constants.</span></span>
Answer: We need to mix 18 quarts of sparkling water with 9 quarts of grape juice.
We need to mix 1.875 quarts of grape juice with 3.75 quarts of sparkling water.
Step-by-step explanation:
Given: A recipe for sparkling grape juice calls for 1.5 quarts of sparkling water and .75 quart of grape juice.
Since, for recipe of sparkling grape juice , they should be used in same proportion.
Let x be the amount of sparkling water need to mix with 9 quarts of grape juice, then

We need to mix 18 quarts of sparkling water with 9 quarts of grape juice.
Let y be the amount of grape juice need to mix with 3.75 quarts of sparkling water, then

We need to mix 1.875 quarts of grape juice with 3.75 quarts of sparkling water.
Answer:
The probability that there will be enough seats for all people who turn up is 0.78
Step-by-step explanation:
Given:
A = 500
B = 550
Since it is known from experience that 10% of people who bought tickets don't show up, to find the probability that there will be enough seats for those who show up, we have:
Percentage that will turn up = 100℅ - 10℅ = 90℅
Since 90℅ will turn up, that means the number of passengers will be less than 500.
Therefore for P less than or equal to 500, we use:
P ( X <_ 500) =
= [500 + 0.5 - (550 * 0.9)] / sqrt*(550 * 0. 9 * 0.1)
= 0.78
Therefore, the probability that there will be enough seats for all people who turn up is 0.78