Answer:
The possible values of the number of dollars in the original pile of money is ≥ $200 but < $350
Step-by-step explanation:
Here we have, pile of money ≥ $200
Amount in put the left pocket = $50
Fraction given away = 2/3 of rest of pile ≥ 2/3×150 ≥ $100
Amount put in right pocket = ≥ $150 - $100 ≥ $50
Total amount remaining with Jeri = $50 +≥ $50 ≥ $100
Also original pile - $200 < $100
Therefore where maximum amount given away to have more money = $200 we have
2/3× (original pile - 50) = $200
Maximum amount for original pile = $350
Therefore the possible values of the number of dollars in the original pile of money is ≥ $200 but < $350.
To solve for x, you undo what was done to x. The variable x is ...
- multiplied by y
- added to z
You "undo" these operations in the reverse order, so first we undo the addition of z. We accomplish that by adding the opposite of z:
... -10 -z = xy
Now, we undo the multiplication by y. We accomplish that by multipying by the reciprocal of y.
... (-10 -z)/y = x
We can rearrange this, if you like.
And, if you want, you can factor out the minus sign.
Answer:
3
Step-by-step explanation:
Volume of sphere:
4/3 * pi * r^3
Surface Area of Sphere:
4 * pi * r^2
So if V = SA
4/3 * pi * r^3 = 4 * pi * r^2
<u>4</u>/3 * <u>pi</u> * r^3 = <u>4</u> * <u>pi</u> * r^2
1/3 * r^3 = r^2
1/3 * r = 1
r = 3
Answer:
100/25 = 4
so an equivalent would be 12/3
<h3>
Answer: See the attached image below</h3>
It shows your screenshot, but I've filled in the blanks with the answers.
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Explanation:
Positive integers represent yards that the team gains. On the opposite side, negative integers represent yards the team loses.
For example, if a team gains 3 yards, then we write that as +3 or simply 3. If a team loses 5 yards, then we write -5. Adding 3 to -5 gets us 3+(-5) = -2 showing the overall result is a loss of 2 yards at the end of the second down.
As another example, if a team gains 7 yards on first down, but then loses those 7 yards on second down, then they gained overall 7+(-7) = 0 yards overall. They haven't gone anywhere at the end of the second down.
We could do things the other way around like this. Suppose the team loses 8 yards on first down, but has better luck on second down to gain 8 yards. They get back to the original line of scrimmage (back to the starting point) and we can say -8+8 = 0. The team hasn't gone anywhere, but it could be worse and they could be dealing with a loss of yardage.
It might help to set up a vertical number line to help try to visualize negative numbers. Each gain means you go upward. Each loss means you go downward. In a sense, it's like a skyscraper and each integer represents floors of the building. Negative integers are basement floors. Zero is the ground level.