What is 1/5 + 2/3?
When adding fractions, it is important that the denominator, the bottom number, is the same. This same bottom number is called a common denominator. If you just add the top and the bottom number, you would get 3/8. Think of it as portions of a pizza. First you ate 1/5 of it, and the second you ate 2/3 of it. When you add those two together to figure out how much you ate, 3/8 would not make sense because that fraction is less than the 2/3 alone that you ate. To make it make sense, you find a common denominator, a number that both fractions denominator can go into, in this case, it is something both 3 and 5 can go into. For this, we are going to say 15: 5x3=15 and 3x5=15. Now, you have denominators of 15, but you also have to change the top number. This is because if you change the denominator only, you would have a smaller number than you should. You would be saying you only ate 1/15 of the pizza and 2/15 of the pizza, and when added you would get 3/15 (or 1/5) which you ate more than. So, you multiply the numerator, the top number, by what you multiplied the denominator by. You would multiply 1/5 by 3/3 and 2/3 by 5/5, then add them. When multiplying fractions, you do not have to do anything special. You multiply the top numbers by each other and the bottoms by each other. So it would be (1x3)/(5x3) + (2x5)/(3x5)= 3/15 + 10/15 This will get you 3/15 and 10/15. now that they have a common denominator, you add the top numbers but keep the bottom number at 15 (you don't add or subtract) and you get that you have eaten 13/15 of your pizza.
What is skeletal muscle? Is it voluntary or involuntary, what does it look like, where can you find it and what are it's functions?
Skeletal muscle is used for movement. When they contract, you move. It is voluntary, meaning you have control over it. When you look at it, it has striations, which are the stripes across the muscle. They can be found in the skeletal system (bones and other connective tissues), and has many functions for the body. It Stores nutrient reserves, Maintains body posture/position (the tension in the skeletal muscles causes this), Produces skeletal movement (contraction pulls tendons and moves the bones), Supports soft tissues, Guards entrances and exits (meaning it allows your digestive passage to open and your urinary tract to open) and it Maintains body temperature (when the muscle is in work, heat is produced). On my exams, I liked to take the first letter or so of each word and make either a word out of them or a mnemonic device to help me, so in case I could not remember every function from the top of my head, I could think of the first letters and know what it starts with, and that normally helps me remember! So for this Santa Makes and Gives So Many Present. All the capitals are the beginning of each function. S=Stores, M (both times)= Maintains, G= Guards, S= Supports, P=Produce.
Find the slope-intercept equation using the coordinates, (3,6) and (5,9)
The slope-intercept equation is y=mx+b. In this equation m equals the slope. The slope is going to be an fraction where the numerator (top number) is the amount the line raises up the y-axis for every so many units moved across the x-axis. (determined by the bottom number: the denominator). You can look at this as rise/run because the numerator determines how many units the line goes up (rises) and the denominator determines how many units it goes left or right (runs). Therefore since the starting first coordinate is at (3,6) and the second is at (5,9), you can calculate the slope. First you subtract the second y value by the first to get the rise, so 9-6=3 and then subtract the second x value from the first to get the run value, so 5-3=2. Following the saying slope=rise/run, you know that m=3/2. So you know the equation is y= (3/2)x + b. To solve for b you rearrange the equation so that b is by itself by subtracting 3/2x on both sides. So, b=y-3/2x. Next, you input the slope as coordinates, so the rise goes in as y and the run as x: b= 3- (3/2) 2 = 3-3 =0. Now you have the equation: y=3/2x+0.