Tutor profile: Kathryn B.
Subject: Basic Math
Solve the following fraction multiplication problem and simplify: -(9/4) x (2/6)
The correct answer is -(3/4). To solve a fraction multiplication problem, you multiply all of the numerators to give you your final numerator, and you multiply all of the denominators to give you your final denominator. Following this solution, you would multiply your two numerators (9 and 2) together to give you 18, and you would multiply your two denominators (4 and 6) to give you 24, which gives you (18/24). Because the first fraction was negative, while the second fraction was positive, you must carry the negative sign over in your answer, since multiplying a negative and a positive will give you a negative number. This gives you -(18/24), but you must simplify this fraction in order to come up with the final solution. Both 18 and 24 are divisible by 6, and upon doing so, you will get -(3/4), which is your final answer.
Which of the following organs and their associated hormone(s) are properly matched? A. Thyroid - parathyroid hormone B. Pancreas - insulin and glucagon C. Liver - aldosterone D. Spleen - antidiuretic hormone
The correct answer is B. A is incorrect, because the parathyroid hormone is secreted from the parathyroid gland, while the thyroid hormones are secreted from the thyroid gland, as the names suggest. C is not correct, since aldosterone is secreted by the adrenal glands and impacts the sodium and potassium levels in the bloodstream, which is not in association with the liver. D is also incorrect, as antidiuretic hormone is released from the pituitary gland, not the spleen, and it controls water retention in the kidneys. B is the only option that is correct, since both insulin and glucagon are hormones that are released by the pancreas in response to the amount of sugar that is in our bloodstream.
If f(x) = 6x + 2.75 is the equation for calculating the cost of ordering pizza at Ray's Pizza Place, where f(x) represents the total cost of the order and x represents the number of pizza's ordered, how many whole pizza's could you buy if you only have $23?
The correct answer is 3 pizza's. In order to solve this problem, you must first determine what you are trying to solve for, so you must look at what you are given. The problem gave you the equation, as well as what each variable represents, and it also gave you that you only have $23 to spend. The question is asking how many whole pizza's you could buy with that $23. Since f(x) was stated to be the total cost of the order, when you solve the problem, you will put $23 in place of the f(x) in the equation, which will look like the following: 23 = 6x + 2.75. You now must solve for x or the number of pizza's ordered, which is what the problem was asking you to solve for. You must combine the "like" terms (or terms that have the same variable), which in this case would be the 23 and the 2.75, since they both are just integers. Subtract 2.75 from 23 to get the "like" terms on the same side of the equation, to give you: 20.25 = 6x. Then, divide 20.25 by 6 to solve for x, which gives you 3.375 pizza's. However, you MUST pay attention to what the question was asking. The problem asked you for how many WHOLE pizza's you could buy with $23, not just how many pizza's in general, since we typically do not purchase 0.375 of a pizza. Thus, you must round your 3.375 pizza's down to just 3 whole pizza's to properly answer the question. So, the answer is 3 pizza's.
needs and Kathryn will reply soon.