Answer:
Let x = the charge in 1st city before taxes
Let y = the charge in 2nd city before taxes
Set up equation before taxes.
y = x - 1500 eq1
Set up equation for total tax paid.
0.065x + 0.06y = 378.75 eq2
Substitute eq1 into eq2.
0.065x + 0.06(x - 1500) = 378.75
0.065x + 0.06x - 90 = 378.75
0.125x - 90 = 378.75
0.125x = 468.75
x = 3750
Substitute this value of x into eq1.
y = 3750 - 1500
y = 2250
The hotel charge in city one is $3750 and the hotel charge in city two is $2250
Answer: C
Step-by-step explanation:
Answer:
Step-by-step explanation:
Required
Represent the relationship between population of girls and boys
From the question, we have that

<em>Given that y is greater than x in the classroom;</em>
<em>One of the keywords in the given data is</em><em> "Greater than"</em>
The inequality to represent the system is the greater than sign;
In other words, >
Bringing x, y and > together to form a complete inequality; we have

Replace Girls with y and Boys with x

Answer:
Objective Function: P = 2x + 3y + z
Subject to Constraints:
3x + 2y ≤ 5
2x + y – z ≤ 13
z ≤ 4
x,y,z≥0
Step-by-step explanation:
Answer:
17cm²
Step-by-step explanation:
i hope it's helpful