Lovescats9191
27.11.2019 •
Mathematics
19 julia is allowed to watch no more than 5 hours of television a week. so far this week, she has watched 1.5 hours. write and solve an inequality to show how many hours of television julia can still watch this week.
20 you are a member of your local movie theater’s club. every time you see a movie at the theater, you earn 2 advantage points. when you earn 100 points, you get a free movie pass. currently, you have 40 advantage points.
write an equation to model the number of movies m you have to watch before you earn a free movie pass.
solve the equation. show your work. 21 write an equation with a variable on both sides of the equal sign that has infinitely many solutions. solve the equation and explain why it has an infinite number of solutions.
my answers: 19 t< 5 t - 1.5 < 5 - 1.5 t = 3.5 20 40 + 2m = 100 40 + 2m - 40 = 100 - 40 2m = 60 2m ÷ 2 = 60 ÷ 2 m = 30 21.
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Ответ:
If she has already watched 1.5 hours and she can only watch 5 hours per week, then we have the inequality:
1.5 + T ≤ 5
where T is is the number of hours she can watch more before reaching her limit
20
If he needs 100 points, already has 40 and earns 2 for every movie, we have the inequality:
40 + 2m ≥ 100
where m is the number of movies he needs to watch
21
We can have the equation:
x + 1 = x + 2 - 1
This would result to:
x + 1 = x + 1
which have the same terms on both sides.
Further, the equation would be:
0 = 0
Ответ:
the distance of the ladder above the ground is 12 feet.
Step-by-step explanation:
The ladder forms a right angle triangle with the wall and the ground. The length of the ladder represents the hypotenuse of the right angle triangle. The distance of the ladder above the ground represents the opposite side of the right angle triangle.
The distance from the bottom of the ladder to the base of the building represents the adjacent side of the right angle triangle.
To determine the distance of the ladder above the ground h, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
13² = 5² + h² = 25 + h²
h² = 169 - 25 = 144
h = √144
h = 12 feet