The maximum amount of money the chemistry club can spend without going over their buget is $81.4 ... With a total of 6 hours their allowed to use the room for.
Step-by-step explanation:
$49 is our constant and will not change. 5.40 however will. Let's use variable h for the amount hours they can rent the room for. Now we can make an inequality;
49+ 5.40h < 86.80
5.40h < 86.80
5.4h< 37.8
h< 7
Now that we know h will have to be less than seven for the chemistry club to spend less than their buget we can find that 6 is the maxium amount of hours they can spend in the room while staying within their budget.
(This answer does not consider decimals or half hours)
Right triangle ... use Pythagorean theorem. Hypotenuse is longest side. 8^2 = 64 so it is the shortest side, then sqrt(95) then sqrt(150). So Pythagorean theorem is 8^2 + [sqrt(95)]^2 = [sqrt(150)]^2 if the triangle is right. 64 + 95 = 159 which doesn’t equal 150 so he’s right. It’s not a right triangle