Answer:she spent 10 hours working in her aunt's store last week.
Step-by-step explanation:
Let x represent the number of hours that Lee spent working at the movie theater.
Let y represent the number of hours that Lee spent working at her aunt's store.
Lee worked a total of 30 hours at the movie theater and her aunt's store. This means that
x + y = 30
Her combined pay from the jobs was $240. She earned $9 per hour working at the movie theater and $6 per hour working in her aunt's store. This means that
9x + 6y = 240 - - - - - - - - - -1
Substituting x = 30 - y into equation 1, it becomes
9(30 - y) + 6y = 240
270 - 9y + 6y = 240
- 9y + 6y = 240 - 270
- 3y = - 30
y = - 30/ - 3 = 10 hours
Answer:
It's a negative 4 and the variable n and can be used for anything or any equation.
Area = side AB * side BC = (5x + 5x + 3)(3x + 92x - 4)
= (10x + 3)(95x - 4) = 950x^2 - 40x + 285x - 12
= 950x^2 + 245x - 12 Answer
This cannot be negative so restriction on x is 950x^2 + 245x > 12
That is x > 0.0421
Answer:
C. (-1, 3)
Step-by-step explanation:
Label the 2 equations:
5y= 7x +22 -----(1)
x= -6y +17 -----(2)
Substitute (2) into (1):
5y= 7(-6y +17) +22
5y= -42y +119 +22 <em>(</em><em>Expand</em><em> </em><em>bracket</em><em>)</em>
5y= -42y +141 <em>(</em><em>Simplify</em><em>)</em>
42y +5y= 141 <em>(</em><em>+</em><em>42y</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>
47y= 141
y= 141 ÷47 <em>(</em><em>÷</em><em>4</em><em>7</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>
y= 3
Substitute y= 3 into (2):
x= -6(3) +17
x= -18 +17
x= -1
Thus, the solution is (-1, 3).
12. 1.625 [terminating]; 13. 0.83 [bar notation over 3 (repeating)]; 14. 900 cm = 9 m; 15. 0.23 cm = 2.3 mm
Repeating decimals are parts of decimals that have repetitive digits; terminating decimals are decimals whose digits end.
Whether you are using Metric or Imperial, you have to determine whether you are going from a small unit to a big unit or vice versa. Then perform your operation. So, in exercise 14, the smaller unit is centimeters, so you would be going from big to small. Exercise 15 has you going from small to big.
There are centimeters in one meter, so multiply 9 by to get 900 centimeters.
There are 10 millimeters in one centimeter, so divide 2.3 by 10 simply by moving the decimal point ONCE to the left [Power of 10].
small to BIG → Division
BIG to small → Multiplication
I am joyous to assist you anytime.
