Answer:
-9
Step-by-step explanation:
You have to plug 8 into the formula for x. f(8) = -2(8)+7 = -16+7 = -9
To solve this problem we first call x = number of action figures, y = number of dolles. A system of two equations with two unknowns must be made to describe the problem. The system is the following:
(x + 1) + y = 13
1/2 * x = y.
Then solving the system we have that x = 8 and y = 4.
Since we know that the number of action figures is twice as many dolls plus one, then x = 8 + 1 = 9.
Thus,
dollos = 4
action figures = 9
Answer:
$102.96
Step-by-step explanation:
Lets take this one part at a time.
the dealership pays 12000 for the car, so they start at -12000 for how much money they have.
The dealership wants to make a 32% profit. This means they want to make back the 12000 plus 32% of that. what is 32% of 12000? just multiply 12000 bty .32 In the end it works out that the price they sell it for is 15840
I do want to mention that there is a chance the 32% might also be accounting the bonus. So in other words the dealership spent 12000 for the car then however much in paying the bonus, and they want to make a 32% profit on both of these combined. I do not think that is what it is asking for, but I wanted to mention it.
Anyway, with a sales price of $15,840 it says the bonus is 6.5% of that. to find that just do the multiplication .065 * 15840 = 1029.60. So this is the bonus normally.
Now the question says the salesperson offers a 10 percent discount. This changes the sales price (by 10%) and the bonus they earn. let's calculate both.
First 10% discount of the sales price is .9*15840 = 14,256
Then 6.5% of that is .065*14256 = 926.64 So this is the new bonus.
The question wants the difference of the two bonuses, and difference is subtraction. so 1029.60 - 926.64 = 102.96 So if the salesperson offers a 10% discount they lose $102.96
For this case we have the following variables:
x = the number of drill-based workouts
y = the number of conditioning workouts
The system of equations that adapts to the situation is:
"According to her schedule, she can complete at most 10 workouts this week":
x + y <= 10
"It takes Gianna 45 minutes to complete her drill-based workouts and 30 minutes to complete her conditioning workouts. She is required to spend more than 450 minutes on workouts every week"
45x + 30y> 450
Answer:
A system of inequalities can that be used is:
x + y <= 10
45x + 30y> 450
