Answer:
t > 82
Step-by-step explanation:
First write what we know.
Earned $72
$4 per ticket, t
Cost is $400
So let's write our equation:
The cost is $400 so we put that on the left side,
$400 =
Now on the right side, we know they earned $72, so +$72 and each ticket (t) is $4 so $4t would represent the amount earned after they sell a certain number of tickets.
So we write:
$400 = $4t + $72 Now solve for t to find the number of tickets they need to sell.
400 = 4t + 72 Subtract 72 from each side.
400 - 72 = 4t + 72 - 72
328 = 4t Divide each side by 4.
328/4 = 4t/4
328/4 = t
82 = t
If the committee wants money left over they need to sell more than 82 tickets!
Our inequality is:
t > 82
Answer:
Walt has 37 quarters. Hank has 33.
Step-by-step explanation:
Solve the given equation for q:
0.25q + 0.25q - 1.00 = 17.50
Simplify this, obtaining:
0.50q = 18.50
Simplifying this by multiplying both terms of this result by 100:
50 q = 1850
Thus, q = 1850/50 = 37
Walt has 37 quarters. Hank has 33.
Note that 37 + 33 = 70, and that 70($0.25) = $17.50. So our results are correct.
Im pretty sure its b im soo sorry if im wrong.
Answer:
x = -8
y = 7
Step-by-step explanation:
5x + 7y = 9
2x - 3y = -37
1.) First, multiply each side to match either y-values or x-values. (In this example, we'll use match x-values)
10x + 14y = 18 (multiplied by 2)
10x - 15y = -185 (multiplied by 5)
2.) Then, subtract the entirety of one equation to isolate the y-value.
10x + 14y = 18
-10x + 15y = 185
3.) Add and subtract values and divide to find y.
29y = 203
y = 7
4.) Plug-in y to solve for x into one equation, or repeat steps 1-3.
15x + 21y = 27
14x - 21y = -259
29x = -232
x = -8
Answer:
Distance between the points A and B is 15.52 units.
Step-by-step explanation:
It has been given in the question that an airplane flies along a straight line from City A to City B.
Map has been laid out in the (x, y) coordinate plane and the coordinates of these cities are A(20, 14) and B(5, 10).
Distance between two points A'(x, y) and B'(x', y') is represented by the formula,
d = 
So we plug in the values of (x, y) and (x', y') in the formula,
d = 
d = 
d = 
d = 15.52
Therefore, distance between the points A and B is 15.52 units.
