Answer: 1 2/3 Liters
Step-by-step explanation:
The equation is going to be the amount of soda, multiplied by the amount of bottles Keisha has
5/9 x 3/1 (3/1 is equivalent to having 3 or 1+1+1)
We are going to multiple the numbers, numerator by numerator, and denominator by denominator since we do not need to add or subtract
- Numerator= 5x3=15
- Denominator= 9x1=9
Your improper awnser would be 15/9
DO NOT STOP HERE THIS IS NOT THE SIMPLEST FORM
- Create the simplest mixed number
15/9 is equal to 15 divided by 9
we can fit 1 9 in 15 without going over
1 ?/15
15-9=6
1 6/9
6 and 9 are both divisible by 3
6 divided by 3 = 2
9 divided by 3 = 3
1 6/9=1 2/3
- Awnser and add your units
1 2/3 is the simpelest form, this can not be further divided.
1 2/3 Liters of Soda
<h3>Question:</h3>
<em>Jon is selling tickets for the school talent show. On the 1st day, he sold 3 senior tickets and 12 child tickets for $195. On the 2nd day he sold 13 senior tickets for $299. Find the price of a senior citizen ticket.</em>
<h3>Answer:</h3>
Create a system of equations to help you solve this problem. The system of equations will look like: 3s + 12c = 195 and 13s = 299. The variable s represents the cost of senior tickets and the variable c represents the cost of children tickets.
Solve the second equation for the variable s as this is the easiest way to solve the problem. Solve the second equation for s by dividing both sides of the equation by 13 to isolate the variable s.
s = 23
Since the question was only asking for the price of a senior citizen ticket, you are technically done. The first equation was only put there to confuse you or allow you to check your work if you needed to. The price of a senior citizen ticket (variable s) is $23.
Answer:
C. 19.47°
Step-by-step explanation:
The triangle's angles are 90°, 70.53°, and 19.47°.
Answer:
t=2
Step-by-step explanation:
We are given the equation
h = -16t²+36t+1
Next, we are asked to find how long the ball was in the air (the time, in seconds) if Casey caught the ball 9 feet above the ground (9 feet is the height).
Therefore, as 9 is the height, we can plug that into our equation to get
9 = -16t²+36t+1
To make this a quadratic equation that is easy to factor, we can subtract 9 from both sides to get
-16t²+36t-8=0
To factor this, we need to find two values that add up to 36 and multiply to (-16)*(-8) = 128. With a little guess and check, I found the numbers 32 and 4 to work well. We can then make the equation
-16t²+32t+4t-8=0
-16t(t-2) + 4(t-2) = 0
(-16t+4)(t-2) = 0
Therefore, to solve for the equation being 0, or 9 = -16t²+36t+1, either (t-2) or (-16t+4) must equal 0
t-2 = 0
t=2
-16t+4 = 0
-16t = -4
t = 1/4
Therefore, t=1/4 and/or t=2. To figure out which one it is (or both!), we can take into account that the question states "on its way down". This means that the ball goes up and then down, and we want to find t when it is going down. Using the knowledge that a ball that is hit goes up and then down, as well as that -16t²+36t-8=0 is a quadratic equation with 2 solutions, we can say that the higher value of t (t=2) represents when the ball is going down
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