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:
x - y + z = 8
2x +3y -z= -2
3x - 2y -9z = 9
Step-by-step explanation:
[1 - 1 1 8]
[2 3 -1 -2]
[3 -2 -9 9]
Answer:
y= 3/2× (-1/2) x=0
Step-by-step explanation:
multiply the equation by both sides by 4/3 and nd then you get 0=x then you swap the sides of the equation x=0 nd your answer is x=0
Answer:
$3.75
Step-by-step explanation:
dimes= x
quarters= x+2
nickels= 2x+2
sum is 3.75
.10x+.25(x+2)+0.05(2x+2)=3.75
.10x+.25x+.50+0.10x+0.10=3.75
0.45x=3.15
x=7 dimes (0.70)
x+2=9 quarters (2.25)
2x+2=16 nickels (0.80)
They add to $3.75
Answer:

Step-by-step explanation:
The cost (in dollars) in making b bracelets is represented is

The cost (in dollars) of making b necklaces is

To find how much more it will cost to make b necklaces than b bracelets, we find the difference,




This is a polynomial in descending powers of b, hence it is in standard form;