<span>To state what fraction of 1 quart is 3 cups, you must use the fact that 1 quart is 4 cups. This means that the total unit, 1 quart, is equivalent to 4 cups. Then, you use 4 cups as the total unitl or the denominator of the fraction, and 3 is the numeratior = 3/4. Also you can think that you need 3 cups out of 4 cups is 3/4.</span>
x=25
Step-by-step explanation:
2000=400√x
Step 1: Flip the equation.
400√x=2000
Step 2: Divide both sides by 400.
400√x/400=2000/400
√x=5
Step 3: Solve Square Root.
√x=5
x=52(Square both sides)
x=25
Check answers. (Plug them in to make sure they work.)
x=25
<h3>
Answer: Choice A. (7,4)</h3>
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Explanation:
Use the slope and given point to find the y intercept
y = mx+b
8 = (-2/3)*(1) + b
8 = -2/3 + b
8 + 2/3 = b
24/3 + 2/3 = b
26/3 = b
b = 26/3
The equation of the line is y = (-2/3)x + 26/3
To confirm this, plug in x = 1 and we should get y = 8, due to the point (1,8)
y = (-2/3)x + 26/3
y = (-2/3)*1 + 26/3
y = -2/3 + 26/3
y = (-2+26)/3
y = 24/3
y = 8
So that verifies we have the correct equation.
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Next, go through each answer choice to see if the x coordinate of the point leads to the y coordinate.
If we try x = 7, then,
y = (-2/3)x + 26/3
y = (-2/3)(7) + 26/3
y = -14/3 + 26/3
y = (-14+26)/3
y = 12/3
y = 4
This shows that (7,4) is on the line. Choice A is the answer
That rules out choice B.
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If we tried x = -5, then,
y = (-2/3)x + 26/3
y = (-2/3)(-5) + 26/3
y = 10/3 + 26/3
y = 36/3
y = 12
meaning that (-5,12) is on the line. That rules out choices C and D.
Refer to the graph below. It visually confirms that of the four answer choices, only point A is on the line. I used GeoGebra to make the graph.
Answer:
m/4
Step-by-step explanation:
m is how many children are playing.
They are separated into 4 groups. Making it m(how many people are playing), out of 4.
For example, if m=12, then it would be 12/4, so 3 children will be in each group.
Hope this helps, you can change this to you own desire.
7 brown, 3 yellow, 8 red...total of 18 cards
there are 15 cards not yellow and a total of 18 cards....so the probability of not picking a yellow card is : 15/18 rounds to 5/6