Answer:
A salad costs $2.50
A sandwich costs $4.50
A drink costs $1.25
Step-by-step explanation:
Let x represent the salad, y represent the sandwich, and z represent the drink.
Since three salads, two sandwiches, and one drink cost $17.75:
3x + 2y + z = 17.75 (1)
Since one salad, one sandwich, and three drinks cost $10.75:
x + y + 3z = 10.75 (2)
Since a salad costs twice as much as a drink:
x = 2z (3)
Multiply the equation 2 by -2 then, sum the equation 1 and equation 2:
-2x - 2y - 6z = -21.50
3x + 2y + z = 17.75
→ x - 5z = -3.75
Replace the x with 2z using equation 3:
2z - 5z = -3.75
-3z = -3.75
z = 1.25
x = 2z → x = 2.50
x + y + 3z = 10.75 → 2.50 + y + 3.75 = 10.75 → y + 6.25 = 10.75 → y = 4.50
Answer:
$1224
Step-by-step explanation:
72 adults in the theater, and 17$ per adult ticket.
72 x 17 is 1224.
Answer:
X from 0 to 21
Y from 0 to 7
Z from 0 to 3
Step-by-step explanation:
Since we are being asked by the integration limits in first octant (positive x, positive y and positive z) we need to know where does the plane intersect this axes. For this we have:
for x=0 and y=0
7z=21
z=3
for x=0 and z=0
3y=21
y=7
for z=0 and y=0
x=21
This means that the integration limits are:
X from 0 to 21
Y from 0 to 7
Z from 0 to 3
Answer: The correct answer is 11 miles.
Step-by-step explanation: In order to solve this problem you need to replace y with $27.
27 = 2x + 5
Subtract 5 from each side:
22 = 2x
Divide both sides by 2:
11 = x
Therefore, she has enough money to travel up to 11 miles.
