The <em><u>correct answers</u></em> are:
The inequality is 75+4t ≥ 400, and they must sell at least 82 tickets.
Explanation:
t is the number of tickets sold. They start out with $75, so that is where our inequality begins. Each ticket is $4; this gives us the expression 4t. Together with the $75 carry over, we have 75+4t.
They must make at least $400 to pay for the dance. This means it must be more than or equal to 400; this gives us 75+4t ≥ 400.
To solve this, first subtract 75 from each side:
75+4t-75 ≥ 400-75
4t ≥ 325
Divide both sides by 4:
4t/4 ≥ 325/4
t ≥ 81.25
We cannot sell a portion of a ticket, so we round. While mathematically this number would "round down," if they only sell 81 tickets, they will not have enough money. Therefore we round up to 82.
Answer:
The answer is 0.2. It is an irrational number with a repeating 2. It should have a line over the two to represent it repeating.
Step-by-step explanation:
First divide 2 by 9.
Use a calculator or do it by hand.
You get your answer.
Each term is being divided by -3, so the next three terms would be:
-1/3, 1/9, -1/27
50 degrees
All triangles have 180 degrees total.
Since it’s an isosceles triangle, the 2 bottom angles are congruent; thus, they have the same angle measurement.
Now just subtract the two angles from 180 to get the third angle.
180 - 65 - 65 = 50
Answer:
![[0, 3, -6]](https://tex.z-dn.net/?f=%5B0%2C%203%2C%20-6%5D)
Step-by-step explanation:
{4x + y = 3
{x + y - z = 9 ←
{2x + 2y + z = 0 ←
{4x + y = 3
{3x + 3y = 9 >> Combined equation
−¾[4x + y = 3]
{−3x - ¾y = −2¼ >> New Equation
{3x + 3y = 9
_________
2¼y = 6¾
___ ___
2¼ 2¼
[Plug this back into all three equations to get the z-value of −6, and the x-value of 0]; 
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