Tutors Answer Your Questions about Equations (FREE)
Question 863165: 1)Find all values of k that ensure that the given equation has exactly one solution.
kx2 + 26x + k = 0
k = (smaller value)
k = (larger value)
2)What quantity of pure acid must be added to 300 mL of a 25% acid solution to produce a 70% acid solution?
3)Mary has $3.00 in nickels, dimes, and quarters. If she has twice as many dimes as quarters and negative six more nickels than dimes, how many coins of each type does she have?
4)A coffee merchant sells a customer 2 lb of Hawaiian Kona at $5.50 per pound. The merchant's scale is accurate to within ±0.09 lb. By how much could the customer have been overcharged or undercharged because of possible inaccuracy in the scale? (Round your answer to the nearest whole cent.)
5)It is estimated that the annual cost of driving a certain new car is given by the formula
C = 0.38m + 2100
where m represents the number of miles driven per year and C is the cost in dollars. Jane has purchased such a car and decides to budget between $6660 and $8180 for next year's driving costs. What is the corresponding range of miles that she can drive her new car?
6)
Click here to see answer by josgarithmetic(39617) |
Question 863222: Hi i'm not to sure if this is in the right section but hope so. I'm currently having problems with the following question.
Given a parametric curve x = 2sint, y=sin(2t) where t takes all values in R (real numbers)
(a) Find an implicit equation of this curve by eliminating t,
(b) Sketch this parametric curve in the xy-plane.
I'm more confused about a , I don't expect anyone to do (b) perhaps just inform me if my thoughts are correct.
Do i set it so that 0 = arcsin(x/2) - (arcsin(y))/2 --> from setting t=t OR somewhere along the lines of x + y = 2sint + sin(2t) and it's somehow a circle.. Or am I just completely off.. Thanks to anyone who responds !!
Click here to see answer by Theo(13342)  |
Question 863798: School A and School B sent groups of students to a trip. School A rented and filled 2 mini buses and 3 coaches with 170 students. School B rented and filled 3 mini-buses and 2 coaches with 135 students. Every mini-buses had the same number of students in it, as did the coaches.
A) Write down two equations to represent the above information.
B) find the number of students in each mini-bus and in each coach
Click here to see answer by richwmiller(17219)  |
Question 863922: A man goes to the bank and asks for x dollars and y cents. The banker by mistake gives him y dollars and x cents. After a nickel drops on the floor, the man looks at his money and realizes that he now has twice the amount he asked for. What was the amount he asked for?
I can only come up with the equation: 2 ( x +.01y) = y + .01x - .05 to reflect this.
I have tried to solve it and can't do it.
Would you please give me some guidance or explain what to do? Is my equation incorrect.
Thank you,
Deborah Aboud
Click here to see answer by richwmiller(17219)  |
Question 864115: The bicyclists were 300 miles apart at 3 p.m. and were headed toward each other. If they met at 9 p.m. and one was traveling 20 miles per hour faster than the other, what was the speed of each bicyclist? Can you include the rates and time of the problem please.
Click here to see answer by dkppathak(439)  |
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