Answer: -10
Step-by-step explanation:
Simplifying
-3(y + 5) = 15
Reorder the terms:
-3(5 + y) = 15
(5 * -3 + y * -3) = 15
(-15 + -3y) = 15
Solving
-15 + -3y = 15
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '15' to each side of the equation.
-15 + 15 + -3y = 15 + 15
Combine like terms: -15 + 15 = 0
0 + -3y = 15 + 15
-3y = 15 + 15
Combine like terms: 15 + 15 = 30
-3y = 30
Divide each side by '-3'.
y = -10
Simplifying
Closed dot on 53, arrow going to the right
Answer:
Ava's share = $20
Charlotte's share = $16
Step-by-step explanation:
15x + 12x = 36 : multiply each girl's age by same amount and adding gives $36
27x = 36 : add x terms
x = 36 / 27 : divide both sides of equation by 27
x = 4 / 3
Ava's share = 15x = 15 * 4/3 = 20
Charlotte's share = 12x = 12 * 4/3 = 16
We are given equation g = 748u, where g is the total number of gallons of water used and u is the number of units.
We can see that the number of units of water being used by customers.
The number of units of water doesn't depend on the total number of gallons of water used.
Therefore, the number of units u is an independent variable.
The value of the total number of gallons is totally depends on the number of units used.
Therefore, the total number of gallons of water used g is a dependent variable.
So, we can conclude following statements:
1) g is the dependent variable.
2) u is the independent variable.
Answer:
There are 24 possible outcomes.
Step-by-step explanation:
1. 1-2-3-4
2. 1-4-3-2
3. 1-4-2-3
4. 1-2-4-3
5. 1-3-2-4
6. 1-4-3-2
7. 2-4-3-1
8. 2-1-3-4
9. 2-1-4-3
10. 2-4-1-3
11. 2-3-1-4
12. 2-3-4-1
13. 3-2-1-4
14. 3-2-4-1
15. 3-1-2-4
16. 3-1-4-2
17. 3-4-1-2
18. 3-4-2-1
19. 4-3-2-1
20. 4-3-1-2
21. 4-2-3-1
22. 4-2-1-3
23. 4-1-2-3
24. 4-1-3-2
Hope this helps!!
