Tutors Answer Your Questions about Systems-of-equations (FREE)
Question 984514: System of equations with three variables. Need help to reduce equations (lose fractions) and follow systems of three linear equations. Direction on how to do so would be great so I can complete other similar questions. Thank you
[3(x+6/5)+y/2+2z=25
x/2+5y-2/4+z=17
x-(2(y-1/7)-3z=-22
Solve following system equations with three linear equations.
Thank you
Click here to see answer by ankor@dixie-net.com(22740)   |
Question 986894: Four numbers are such that the second number is 4 less than 3 times the first number and the third number is a quarter of the second number. The fourth number is five more than the first number. Determine the value of these four numbers if their sum is 115.
Click here to see answer by Timnewman(323)  |
Question 987464: Alexa and Zack are solving the following problem: The number of miles on Car A is 50 miles more than the number of miles on Car B, and the number of miles on Car B is 30 miles more than the number of miles on Car C. All the cars travel 50 miles in 1 hour. After 1 hour, twice the number of miles Car A is 70 miles less than 3 times the number of miles on Car C. How many miles were there on Car B initially? Alexa assumes there are m miles on Car B. Zack assumes there are m miles on Car C. Will Zack's answer be the same as Alexa's answer? Explain.
Click here to see answer by ankor@dixie-net.com(22740) |
Question 988346: To find a baseball pitcher's earned run average (ERA), you can use the formal Ei= 9r, in which E represents ERA, i represents the number of innings pitched, and r represents the number of earned runs allowed. Solve the equation for E. What is a pitcher's ERA if he allows 5 earned runs in 18 innings pitched?
Click here to see answer by macston(5194)  |
Question 989339: Certain chemotherapy dosages depend on a patient's surface area. According to the Mosteller model
S = √(h*M) / 6
where h is the patient's height in m, M is the patient's mass in kg and S is the patient's approximate surface area in m^2. Assume that the patient's height is a constant 187 cm but he is on a diet. If a patient loses 3.1 kg per month, how fast is his surface area changing (in m^2/month) at the instant his mass is 71 kg?
Give your answer correct to 4 decimal places.
Note. You may be wondering why we have referred to the patient's mass here, rather than his weight. Technically, a person's weight is a force (recall: F = Ma, where F is the force, M is the mass, and a is the acceleration, which in this case is g, the acceleration due to gravity). Force (and therefore weight) is measured in Newtons, not kilograms. Scientists, and you are one, should know that. (In orbit, an astronaut experiences weightlessness, not masslessness.) - I am not sure why this matters?
I am so confused!
Initial = S = √(187*71) / 6 = 19.2043
After One month = S = √(187*69.7) / 6 = 19.0277
I am not sure how to put these together?
THANK YOU
Click here to see answer by MathLover1(20849)  |
Question 989339: Certain chemotherapy dosages depend on a patient's surface area. According to the Mosteller model
S = √(h*M) / 6
where h is the patient's height in m, M is the patient's mass in kg and S is the patient's approximate surface area in m^2. Assume that the patient's height is a constant 187 cm but he is on a diet. If a patient loses 3.1 kg per month, how fast is his surface area changing (in m^2/month) at the instant his mass is 71 kg?
Give your answer correct to 4 decimal places.
Note. You may be wondering why we have referred to the patient's mass here, rather than his weight. Technically, a person's weight is a force (recall: F = Ma, where F is the force, M is the mass, and a is the acceleration, which in this case is g, the acceleration due to gravity). Force (and therefore weight) is measured in Newtons, not kilograms. Scientists, and you are one, should know that. (In orbit, an astronaut experiences weightlessness, not masslessness.) - I am not sure why this matters?
I am so confused!
Initial = S = √(187*71) / 6 = 19.2043
After One month = S = √(187*69.7) / 6 = 19.0277
I am not sure how to put these together?
THANK YOU
Click here to see answer by jim_thompson5910(35256) |
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