Answer:
Inequality: 8p ≤ 50
Answer: p ≤ 6
Step-by-step explanation:
Step 1. Write an equation
$8 per person = 8p (where 8 is the cost per person and p is the number of people)
8p ≤ 50
Step 2. Solve
8p ≤ 50
÷8 ÷8
p ≤ 6.25 ≈ p ≤ 6 (your final answer is 6 because you cannot have 1/4 of a friend)
When you factor the equation...
r^2-4r-77
r^2+7r-11r-77
r(r+7)-11(r+7)
(r-11)(r+7) so each parenthetical term is a dimension.
Note that r>11 though for any possible real solution.
Answer:
85 boys, 110 girls
Step-by-step explanation:
85 boys+25 more girls= 110 girls
110 girls+85 boys= 195 total students
From the Pythagorean Theorem, we know that a^2+b^2=c^2
28^2+21^2=(5x)^2
784+441=25x^2
1225=25x^2
49=x^2
x=7
The length of the hypotenuse would be 35m.
A vertical line has the equation of x = a
If the vertical line goes through a certain point, as in this case, then the y value is irrelevant. It can be anything. It is the x value that is the one you need to use.
So the answer is x = 1. This equation has no slope that is defined.
