Answer:
9/64
Step-by-step explanation:
1/4 x 3/4 x 3/4 = 9/64
Answer:
y > 11/2
Step-by-step explanation:
This is solved the same way a 3-step equation is solved.
<u>Step 1</u>: subtract the smaller variable term from both sides.
4y -2y +3 > 2y -2y +14
2y +3 > 14
<u>Step 2</u>: subtract the constant with the variable term.
2y +3 -3 > 14 -3
2y > 11
<u>Step 3</u>: divide by the coefficient of the variable.
2y/2 > 11/2
y > 11/2
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<em>Additional comment</em>
By choosing to subtract the smaller variable term in the first step (regardless of which side of the inequality it is on), we ensure that the remaining variable coefficient is positive. That means we can do step 3 without worrying about changing the direction of the inequality symbol, because we're dividing by a positive number.
OK this is how it goes: Multiplying a number <1 with 2/3 another number <1, will give a fraction of a fraction, and part of a fraction is an even smaller fraction. Another way of looking at it: Fractions less than one have numerators smaller than their denominators. When multiplying fractions, you multiply across, so multiplying two fractions that are both less than one will always give a numerator much smaller than the denominator, and a larger denominator makes for a smaller number. I know this is very confusing but it is how you do it. It takes a while to wrap your head around it, I know.
Answer:
See below.
Step-by-step explanation:
Create a system of equations to represent this scenario.
- Lin: 12 - 1/3x = y
- Diego: 20 - 2/3x = y
1) A graph of these equations is attached below. Lin is in red; Diego is in blue.
2) The time (seconds) is on the x-axis, while the milkshake (oz) is on the y-axis. The graph shows the rate of change that the volume of the milkshake is decreasing for both Lin and Diego. The intersection point tells us at what time t (s) Lin and Diego have the same amount of milkshake left.
There is only one solution to this system of equations: (24, 4). This tells us that at t = 24 s, Lin and Diego both have 4 oz of milkshake left.
The zeros, aka where the graph touches the x-axis, tell us at what time Lin and Diego finish their milkshakes.
Lin finishes her milkshake later than Diego, at t = 36 s (36, 0), while Diego finishes his milkshake at t = 30 s (30, 0).
