Using proportions, it is found that the correct time when it reads 10:30pm is of 9:40 pm.
<h3>What is a proportion?</h3>
A proportion is a fraction of total amount, and the measures are related using a rule of three.
In this problem, when 56 minutes have passed, the clock indicates that 60 minutes have passed. Hence, what is the time passed when the clock indicates that 12 hours and 30 minutes, that is, 60 x 12 + 30 = 750 minutes have passed?
Hence, the <em>rule of three</em> is:
56 minutes - 60 minutes
x minutes - 750 minutes
Applying cross multiplication:
700 minutes is 660/60 = 11 hours + 40 minutes after 10:00 am, hence the correct time is of 9:40 pm.
You can learn more about proportions at brainly.com/question/24372153
Answer:
56
Step-by-step explanation:
Recall that 1 lb = 16 oz, meaning that 1/2 lb = 8 oz.
Thus, we need only divide 28 lb by 1/2 lb to determine the number of 8 oz servings are contained in a 28 lb bag of dog food:
28 lb
--------------------- = 56 8-oz servings
1/2 lb/ serving
To solve this you would use the pythagorean theorem since the brace is making the frame look like two right triangles. The theorem states that for a triangle with a right angle, A^2+B^2=C^2. A and B are the sides of the frame and C is the brace which is like the hypotenuse of the triangle. It doesn't matter which side is A or B so you can put 6 or 8 in place of either in the equation. 6^2+8^2=C^2. If you simplify this it equals 36+64=C^2, which then simplifies to 100=C^2. Then you take the square root of both sides (what number multiplied by itself = the number you are trying to get, in this case, 100). So then you get C=10 because 10x10=100. So the length of the diagonal brace is 10ft.
Answer:
(1,-1)
Step-by-step explanation:
y < 4x+5
x = 1, y = -1 => -1 < -4+5 (T)