let y = x^2
4y^2 -21y + 20 = 0
solve for y
then substitute back in to get x
First, let's create the ratios of sweetened to unsweetened. To do this, you would have to subtract the number of people that preferred unsweetened from the total.
Westside mall: 15:30 or
Eastside mall: 13:26 or
Now, you would divide to both ratios.
15 ÷ 30 = 0.5
13 ÷ 26 = 0.5
They have the same sum, meaning,
they are the same.
Westside Mall shoppers are just as likely to prefer unsweetened tea as Eastside Mall shoppers. I hope this helps!
Answer:
She uses 200 milliliters of solution B
Step-by-step explanation:
Notice that there are two unknowns in this problem: 1) the amount of solution A that is being used, and 2) the amount of solution B being used. We can name such unknowns with letters to facilitate our work:
Amount of solution A to be used = A
Amount of solution B to be used = B
So, since we need to find two unknowns, we need to create a system of two equations to solve them.
Our first equation can be obtained from the sentence: "She uses twice as much Solution A as Solution B," which written in mathematical form is:
A = 2 B
The second equation we can build from the information of the amount of alcohol in each solution that combined will add up to 104 milliliters of alcohol in the mixture. Knowing the percent of alcohol in each solution, we can write an equation for the amount of alcohol:
0.19 A + 0.14 B = 104
Now we can use our first equation to substitute A in terms of B in the second equation:
0.19 (2 B) + 0.14 B = 104
0.38 B + 0.14 B = 104
0.52 B = 104
B = 104 / 0.52
B = 200 milliliters
Let
Event A = rolling a 4 on a single die
Event B = rolling a number divisible by 3 (3 or 6) on a single die
There are three outcomes possible in total if either event A happens or event B happens. This is out of six outcomes total.
Divide the values and reduce: 3/6 = 1/2
Final Answer: Choice D) 1/2
Answer:
Simplify−412+16t+48.h=16t−1633
Step-by-step explanation:
