60 beats per minute is the answer
Hey there! I'm happy to help!
The equation y=0.5x simply means that Joseph is hiking 0.5 miles every hour. This is because the x value is the independent variable or the thing you change, which in this case is the time you take hiking. The distance, the y-value, is dependent on that time.
Now, let's look at Kelly's graph. This graph isn't a grid, so we will have to eyeball some of the numbers on the graph. It appears that after 10 hours, Kelly has traveled eight miles. This is because if you go up from the 10 and meet the line and then go to the left. you will be about at the line right below the 10 on the y-axis, and if you count the lines, you will see that we are counting by 2, so it has to be eight.
So, we see that Kelly takes 10 hours to go eight miles. We know that Joseph's distance is half of his time (4 hours would be 2 miles, 6 hours would be 3 hours, etc.)
So, if we say that Joseph hikes for ten hours, he will have hiked five miles as that is half of ten. We see, though, that Kelly made it eight hours in that time, so Kelly is going faster here.
Have a wonderful day and keep on learning! :D
18. (if you needed it)
The triangle is an equilateral triangle, it has 3 congruent/equal side lengths and 3 congruent angles.
To find "z", you can set the sides equal to each other (you can just do two sides since they are all suppose to be the same lengths)
z + 5 = 4z - 4 Subtract z on both sides
5 = 3z - 4 Add 4 on both sides
9 = 3z Divide 3 on both sides
3 = z
Plug this into one of the sides
z + 5
3 + 5 = 8 Each side is 8
[proof]
z + 5
3 + 5 = 8
4z - 4
4(3) - 4
12 - 4 = 8
3z - 1
3(3) - 1
9 - 1 = 8
19. This is an isosceles triangle, which is a triangle that has 2 congruent sides and 2 congruent angles. (The red tick marks shows that the sides are the same/equal)
Since the 2 sides are the same length, you can set them equal to each other to find "x":
2x + 6.8 = 8x + 1.4 Subtract 2x on both sides
6.8 = 6x + 1.4 Subtract 1.4 on both sides
5.4 = 6x Divide 6 on both sides
0.9 = x
Now that you know x, you can find the sides:
2x + 6.8
2(0.9) + 6.8
1.8 + 6.8 = 8.6
8x + 1.4
8(0.9) + 1.4
7.2 + 1.4 = 8.6
The two side lengths are 8.6
Answer:
1312.5 cubic feet
Step-by-step explanation:
Let the swimming pool be a rectangular prism
The volume of a rectangular prism is:
Volume = length * width * depth
Length = 25 (given)
Width = 15 (given)
The depth is 4ft, but they want the volume when water is 6 inches FROM THE TOP, that is, out of 4 feet, 6 inches (1/2 feet) IS NOT FILLED. So the depth of water is
4 - 1/2 = 3.5 feet
So, we can say
Depth = 3.5 (found)
Hence, the volume would be:
Volume = 25 * 15 * 3.5 = 1312.5 cubic feet
Answer: no
Step-by-step explanation:
because you can do what is known as the vertical line test to determine if it is a function you do that by plotting it and if it goes in a vertical line then it is a function
