. The student's conclusion is incorrect because the solution to the system of equations 4x + 2y = 32 and 5x + 2y = 36 is (4, 8).
B is right option
4x + 2y = 32
5x + 2y = 36 subtracting
-x=-4
x=4
4(4)+2y=32
16+2y=32
2y=16
y=8
hope this helps
I’m pretty sure your answers are right
If you would like to know the purchase price of Wilma's game, you can calculate this using the following steps:
15% of $43.89 = 15% * 43.89 = 15/100 * 43.89 = $6.5835 = $6.58
$43.89 - $6.58 = $37.31
5% of $37.31 = 5% * 37.31 = 5/100 * 37.31 = $1.8655 = $1.87
$37.31 - $1.87 = $35.44
The correct result would be <span>$35.44.</span>
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:
197:100
Step-by-step explanation:
9.85km in m =9850m
9850:5000
÷10 ÷10
985:500
÷5 ÷5
197:100
as we can’t simplify any more, this must be the lowest term.