Answer: a. 5/12 b. 10 hours
Step-by-step explanation:
5/8 x 2/3 = 10/24 = 5/12
she spends 5/12 of the day awake at home
if a day has 24 hours then 5/12 of that is 5/12 x 24 = 10
so she spends 10 hours awake at home
$50.88 is the total amount because 60 - 20% = $48 then you add 6% sales tax which is $2.88 = $50.88
You can use two negative numbers and add them to get -6. An example can be -4+-2=-6
1). Since you have -2y and 4y, elimination is easy to do for solving for x..
Keep the first equation and multiply the second equation by 2. Then add.
5x - 2y = -1
8x + 4y = 56
10x - 4y = -2
8x + 4y = 56
-----------------
18x = 54
x = 3
Now we can use substitution to solve for y.
Substitute 3 for x in the first original equation and solve for y.
5x - 2y = -1
5(3) - 2y = -1
15 - 2y = -1
-2y = -16
y = 8
(3, 8)
2.)
3x - y = =16
-4x - y = 21
Multiply both sides of the first equation by -1 to change all signs. Then when you add the equations, you eliminate y and solve for x.
-3x + y = 16
-4x - y = 21
-----------------
-7x = 37
x = -37/7
Now multiply the first original equation by 4 and the second original by 3 to eliminate x and solve for y.
12x - 4y = -64
-12x - 3y = 63
---------------------
-7y = -1
y = 1/7
Solution: (-37/7, 1/7)
Answer:
E. Leela Chitnis
Step-by-step explanation:
