Tutors Answer Your Questions about Equations (FREE)
Question 1102672: Kaiden has sold 10 bunches of roses and 12 violets for a total of $380. Grayson has sold 6 bunches of roses and 8 violets for $244. What is the cost of a bunch of roses? What is the cost of a bunch of violets? How much would it cost Mac to purchase 2 bunches of roses and 3 violets?
Click here to see answer by ikleyn(52776)  |
Question 1102739: The Perez family and the Evans family each used their sprinklers last summer. The water output rate for the Perez family's sprinkler was 15L per hour. The water output rate for the Evans family's sprinkler was 20L per hour. The families used their sprinklers for a combined total of 55 hours, resulting in a total water output of 1000L. How long was each sprinkler used?
Click here to see answer by ikleyn(52776)  |
Question 1102836: Sierra has a total of 61 dimes and quarters in her piggybank. She has 3 more quarters than dimes. The coins have a total value of $10.90. How many dimes and how many quarters does she have? Write an equation for this situation and use it to solve the problem. [Hint: Use the decimal values of the "c" coins to write an equation.]
Click here to see answer by ikleyn(52776)  |
Question 1102875: Solve the following system of equations GRAPHICALLY for x and y. You can use any method to graph
these lines. Show any work you do. Also, in the answer space provided for this problem, write your
answer as an ordered pair and check it in both equations. DO NOT include an algebraic solution (ie using
the substitution or elimination method) to this problem!
3x - y = -4 and 2x - 3y = 9
Click here to see answer by richwmiller(17219)  |
Question 1102837: Amanda, Bryan, and Colin are in a book club. Amanda reads twice as many books as Bryan per month and Colin reads 4 fewer than 3 times as many books as Bryan in a month. In 4 months, the number of books Amanda reads is equal to 5/8 the sum of the number of books Bryan and Colin read in 4 months. How many books does each person read each month? Write an equation and use it to solve this situation.
Click here to see answer by jorel1380(3719)  |
Question 1102964: The number of bacteria in a culture begins with approximately 10,000 organisms at the start of an experiment. if the bacteria doubles every 5 hours find the following:
a. A model of the form P(t) = Poekt that represents the population P(t) of bacteria after t hours. Round k to 4 decimal places.
b. Determine the amount of time required for the population to grow to 2,000,000. Round to the nearest hour.
Click here to see answer by josgarithmetic(39616) |
Question 1102963: The apparent magnitude of a star refers to the brightness of the star. Objects with lower magnitude appear brighter to the eye than objects with higher magnitude. For higher magnitudes a telescope is required. However, even a telescope has its limitations. The limiting magnitude L of an optical telescope with lens diameter D (in inches) is given by L(D) = 8.8 + 5.1logD. Use this function to find the following:
a. Find the limiting magnitude for a telescope with a lens 10 inches in diameter. Round to 1 decimal place if needed.
b. How large a telescope is needed to see a galaxy with magnitude 19? Round to the nearest inch if needed.
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 1103116: I have this exponential equation that I cannot seem to solve:
5^x = 4^x+1
I didn't get very far; here's my lame attempt:
log5^x = log4^x+1
xlog5 = (x+1) log4
and that's about it. I don't know if I should distribute the log4 over the (x+1) or what. I know the answer is log4/log5/4 ("log 4 divided by log 5/4"), but I don't know how to get there. Can you help?
Thank you
Click here to see answer by greenestamps(13198)  |
Question 1103116: I have this exponential equation that I cannot seem to solve:
5^x = 4^x+1
I didn't get very far; here's my lame attempt:
log5^x = log4^x+1
xlog5 = (x+1) log4
and that's about it. I don't know if I should distribute the log4 over the (x+1) or what. I know the answer is log4/log5/4 ("log 4 divided by log 5/4"), but I don't know how to get there. Can you help?
Thank you
Click here to see answer by ikleyn(52776)  |
Question 1103126: This is supposed to be an exponential equation of quadratic type, but I'm just not seeing it:
2^x-10(2^-x) +3 = 0
Here's what I did:
2^x - 20^-x + 3 = 0
2^x - (20^-1)^x + 3 = 0
2^x - (1/20)^x +3 = 0
2^x - (1^x/20^x) +3 = 0
And now I'm stumped. I really don't know what I'm doing here. Can you help? Thank you.
Click here to see answer by ikleyn(52776)  |
Question 1103687: A basketball team recently scored a total of
77 points on a combination of 2-point field goals, 3-point field goals, and 1-point foul shots. Altogether, the team made
44 baskets and 10 more 2-pointers than foul shots. How many shots of each kind were made?
Click here to see answer by algebrahouse.com(1659)  |
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39916..39960, 39961..40005, 40006..40050, 40051..40095, 40096..40140, 40141..40185, 40186..40230, 40231..40275, 40276..40320, 40321..40365, 40366..40410, 40411..40455, 40456..40500, 40501..40545, 40546..40590, 40591..40635, 40636..40680, 40681..40725, 40726..40770, 40771..40815, 40816..40860, 40861..40905, 40906..40950, 40951..40995, 40996..41040, 41041..41085, 41086..41130, 41131..41175, 41176..41220, 41221..41265, 41266..41310, 41311..41355, 41356..41400, 41401..41445, 41446..41490, 41491..41535, 41536..41580
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