Given:
Jeffery babysits for 4 dollars per hour and works as a math tutor for 7 dollars per hour.
He is only allowed to work 13 hours total per week.
He wants to make at least 65 dollars.
To find:
The system of inequalities to represent this situation.
Solution:
Let x be the number of hours he babysits per week and y be the number of hours h works as a math tutor.
He is only allowed to work 13 hours total per week. It means sum of x and y must be less than or equal to 13.
He wants to make at least 65 dollars. It means total earnings must be greater than or equal to 65.
Number of hours can not be negative.
.
Therefore, the required system of inequalities contains some equations, 
and 
.
Hello there!
A number that is 70% of a number is 7/10 of that number in fraction form!
I hope this was helpful and have a great rest of your day!
Answer:
x = 15
Therefore, the length and width are 31 and 47.
Step-by-step explanation:
Perimeter = (2x + 1) + (2x + 1) + (3x + 2) + (3x + 2) = 156
Simplified,
10x + 6 = 156
Subtract 6 from both sides, then divide by 10.
10x = 150
x = 15
To find the length and width, substitute 15 (the value of x) into the individual equations.
2(15) + 1 = 31
3(15) + 2 = 47
Answer:
Sydney is 44 years old
Step-by-step explanation:
<u>Step 1: Make a system of equations
</u>
d = s - 15
<em>d + s = 73
</em>
<u>Step 2: Plug in s - 15 for d in the second equation and solve
</u>
s - 15 + s = 73
2s - 15 = 73 + 15
2s / 2= 88 / 2
<em>s = 44
</em>
Answer: Sydney is 44 years old
Answer:
x + 6x+10 + x+2 = 180
x = 21
Step-by-step explanation:
The sum of the angles of a triangle add to 180 degrees
x + 6x+10 + x+2 = 180
Combine like terms
8x + 12 = 180
Subtract 12 from each side
8x+12-12 = 180-12
8x =168
Divide each side by 8
8x/8 = 168/8
x =21
