Answer: x = 11
Step-by-step explanation:
You didn't state what you needed for these problems so I'm going to assume you need to solve for X.
1st Equation:
3x - y = 23 --> y = 3x - 23
2nd Equation:
2x + 3y = 8 --> (3y = 8 - 2x)/3 = y = 8/3 - 2x/3
Set Equations = to Each other
3x - 23 = 8/3 - 2x/3 --> 3x - 2x/3 = 8/3 + 23
9x/3 - 2x/3 = 8/3 + 69/3 --> 7x/3 =77/3
7x/3 X 3/7 = 77/3 X 3/7
x = 11
If you need to solve for y as well plug the x value back into the original equation and solve.
Answer:
The Inequality Equation =
22 + 9x ≤ 58
The number of T -shirts Debbie can buy is at most 4 T-shirts
Step-by-step explanation:
Let the number of T shirts Debbie can buy be represented as x
We are told in the question: Debbie has at most $58 to spend on clothes.
This means she would not exceed $58. She would be spending less than or equal to $58
The Inequality Equation =
$22 + $9 × x ≤ $58
22 + 9x ≤ 58
Solving the Inequality Equation above:
22 + 9x ≤ 58
9x ≤ 58 - 22
9x ≤ 36
x ≤ 36/9
x ≤ 4 shirts
The number of T -shirts Debbie can buy is at most 4 T-shirts
-4x + 15 > 59
-4x > 44
x < -11 - switch the inequality when dividing or multiplying by a negative number
Gina 2.5 * 1.38 = $3.45
Amy 3.5 * .98 = $3.43
Gina spent more money by .02
Answer:
4,260 feet below sea level (-4,260 feet)
Step-by-step explanation:
The submarine starts at sea level which should be 0 for elevation. And descending 7 feet per second for 2 minutes which means it went down 840 feet ( 7x60x2). Then 4 feet per second for 3 minutes which is 720 feet (4x60x3). Lastly 9 feet per second for 5 minutes which is 2,700 feet (9x60x5). Then you add up those three totals, 840 + 720 + 2,700 = 4,260. So the elevation is -4,260 feet, or 4,260 feet below sea level