<span>If dog food costs $2 a pound and Cara buys 9 pounds, her expenditure on dog food is 9 x 2. This makes $18. If she has a total budget of $25 and spends $18 on dog food, she has $7 left over for treats (25 - 18 = 7). At $1 each, she can buy up to 7 treats.</span>
Answer:
Step-by-step explanation:
3. 
add exponents
4.
multiply exponents
5.
distribute and multiply exponents
6. 
multiply and then add exponents
7.
distribute and multiply exponents
8.
multiply and then add exponents
Answer:
Step-by-step explanation:
To get you needed to divide the numerator and denominator by 3.
Answer:
x = 3/4 + (3 sqrt(5))/4 or x = 3/4 - (3 sqrt(5))/4
Step-by-step explanation:
Solve for x over the real numbers:
8 x^2 - 12 x - 23 = -5
Divide both sides by 8:
x^2 - (3 x)/2 - 23/8 = -5/8
Add 23/8 to both sides:
x^2 - (3 x)/2 = 9/4
Add 9/16 to both sides:
x^2 - (3 x)/2 + 9/16 = 45/16
Write the left hand side as a square:
(x - 3/4)^2 = 45/16
Take the square root of both sides:
x - 3/4 = (3 sqrt(5))/4 or x - 3/4 = -(3 sqrt(5))/4
Add 3/4 to both sides:
x = 3/4 + (3 sqrt(5))/4 or x - 3/4 = -(3 sqrt(5))/4
Add 3/4 to both sides:
Answer: x = 3/4 + (3 sqrt(5))/4 or x = 3/4 - (3 sqrt(5))/4
Birmingham and Montgomery both have a state sales tax rate of 4 percent and a local tax rate of 6 percent – although the report notes that part of Birmingham lies in Shelby County, meaning the combined rate is only 9 percent in some parts of the city.
