Answer:
3
Step-by-step explanation:
Remember the order of operations using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). So, you get 18 - 6 / 5-1 = 12/4 = 3
The price of a baseball is $3.75. This problem can be solved using an elimination between two equation with two variables in it which are, 5x + 3y = 23.75 and 2x + 7y = 31.25. First, multiply the first equation by 2 and the second equation by 5 which resulting in 10x + 6y = 47.5 and 10x + 35y= 156.25 and then eliminate the x variable resulting in 29y = 108.75. The baseball price can be acquired from this equation (y = 3.75) because y variable represents the baseball price.
Answer:
Step-by-step explanation:
This is calculus, but I don't get fractions in the end. To maximize or minimize any function, you need to find the derivative of it, set it equal to 0, then solve for the critical values.
Our given equation is
x + y = 215 and we want to maximize the product, xy. Therefore,
y = 215 - x so its product in terms of x is
x(215-x) which is
. The derivative of this is
215 - 2x. Set it equal to 0 to maximize it.
215 - 2x = 0 so
-2x = -215 and
x = 107.5.
Sub this in to solve for y:
y + 107.5 = 215 and
y = 107.5
The product is 11556.25, not that you need it.
Answer:
The percentage for both the cases would be 100% and 35% respectively
Step-by-step explanation:
The computation of the percentage of down payment to the purchase price would be:
In the first case, the percentage would be
= Down payment ÷ Total amount
= $12,000 ÷ $120,000
= 100%
For the second case, the percentage would be
= Down payment ÷ Total amount
= $42,000 ÷ $120,000
= 35%
The percentage for both the cases would be 100% and 35% respectively
9514 1404 393
Answer:
40 ft
Step-by-step explanation:
The post is 8/12 = 2/3 as tall as the shadow is long. We expect the same relationship holds for the tree.
tree height = (2/3)(shadow length) = (2/3)(60 ft) = 40 ft
The tree is 40 feet tall.
