Answer:
10+26x
Step-by-step explanation:
To solve this, work your way from the inner most parentheses to the outer most:
- The inner most parentheses is around 6-2, meaning you solve this first. When you solve this, you get 4.
- The second most inner parentheses is around (1+3 times 4) using PEMDAS, you first solve the multiplication, and then add. Once you solve this, you get 13.
- Next, the outer most parentheses is around (10-5+13x). When you simplify this, you get 5+13x
- Finally, you multiply 2(5+13x). Using distributive property, you get 10+26x as your final simplified answer.
If Teresa drove 936 miles in 13 hours, this would mean she would have driven 72 miles every hour. 72 times 9 equals 648. After 9 hours, she would have driven 648 miles.
Answer:
16 lb of fresh coffee.
Step-by-step explanation:
Let x pound be the amount of fresh coffee needed.
100 - 12 = 88% is equivalent to 14 2/25 of roasted coffee.
By proportion x = 14 2/25 / 88/100
= 352 / 25 * 100/88
= 35200 / 25 * 88
= 16 lb (answer).
12x - 8y = -12
6x + 4y = -30
Multiply the 2nd equation by 2, to make the Y coefficients opposite:
6x + 4y = -30 x 2 = 12x + 8y = -60
Now add the two equations:
12x -8y = -12 + 12x +8y = -60
= 24x = -72
Divide bothe sides by 24 to solve for x:
x = -72/24
x = -3
Now replace x with -3 in the first equation to solve for y:
12(-3) - 8y = -12
-36 - 8y = -12
Add 36 to each side:
-8y = 24
Divide both sides by -8 to solve for y:
y = 24 / -8
y = -3
X = -3 and y = -3
(-3,-3)
