Answer:
Cards with Mark = 30
Cards with Drew = 120
Cards with Katie = 12
Step-by-step explanation:
The complete question is
Drew has 4 times as many baseball cards as Mark. Katie has 3 fewer than than half as many cards as Mark. In all they have 162 baseball cards. How many does each have?
Solution -
Let the number of cards with Mark be "X"
Number of cards with Drew = 4 *X = 4X
Number of Cards with Katies = 0.5 X -3
Sum of all the cards is equal to 162
X+4X + 0.5 X -3 = 162
5.5 X = 165
X = 30
Cards with Drew = 4 * 30 = 120
Cards with Katei = 15-3 = 12
Maximum safe height can be reached by ladder = 15.03. ft
Given,
Let's assume the maximum safe height of wall = h
angle formed between ladder and ground = 70°
length of ladder = 16 ft
From the given data, it can be seen that ladder will form a right angle triangle structure with the wall
So,from the concept of trigonometry,
=> h = 16 x 0.9396
=> h = 15.03 ft
So, the maximum safe height that can be reached by the ladder will be 15.03 ft.
see below
(3x + 8) units by (6x + 5) units.
A = l*w
= (3x+8)(6x+5)
Distribute
3x*(6x+5) + 8(6x+5)
18x^2 +15x + 48x +40
Combine terms
18x^2+63x+40 units^2
The degree is 2 ( the highest power of x)
This is a trinomial ( it has 3 terms)
Multiplication is closed for polynomial multiplication
We started with polynomials and we ended up with a polynomial.