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Answers by Jason T.

4a + 6b = 1.56 9a + 7b = 2.60    Add these two equations together vertically! ----------------- 13a + 13b = 4.16    Now divide this whole equation by 13 to see what a + b would be   (13a)/13 + (13b)/13 = (4.16)/13 a +...

Word problem (answer)

Hi Ashley, These can be tricky.   Let x = ounces of 60% saline. 0.6x = ounces of saline Let y = ounces of 20% saline. 0.2y = ounces of saline   Total solution needed is 8 oz., so x + y = 8   To get a 50% saline solution, (total ounces of saline)/(total...

Word Problems (answer)

Chris, You can use the same strategy for all four problems that you posted. 1. Set up variables. Usually let x represent whatever follows "as" if there is a comparison. In this case you have "Brandon owns 4 times as many soccer cards as Paul.                                                    ...

The key phrase is that the ranch she wants is 7/8 the size of her current property. Think about whether 7/8 is greater or less than 1. If 7/8 is greater than 1, then the property is bigger than hers. If 7/8 is less than 1, then the property is smaller than hers.

Hi Ruby, First, we know we can't have more than 1.5 gallons in the container. Each gallon is 128 ounces, so our maximum volume in ounces is 128(1.5)=192 ounces. We need the total solution to be a maximum of 7% alcohol. Let w = ounces of 11% wine, 0.11w = ounces of alcohol Let s =...

math problem (answer)

You need to take each quantity in the original recipe and multiply by 1/2.   (1/2 teaspoon)(1/2)= 1/4 teaspoon   (3 teaspoons)(1/2) ... just multiply 3 times 1/2 and the answer is the number of teaspoons of cinnamon.   (3 1/2 cups flour)(1/2) .... change 3...

Algbrea 2 Math (answer)

David, thanks for your question. The two trinomials you used as examples are very similar : ax2+bx+c is the general form and x2+bx+c is the specific case where a = 1. when c=0: ax2+bx+c --> ax2+bx There is a common factor of x in both terms so x(ax+b)...

Linda,   Your formula is perfect! On the left side is your total cost and on the right side is your brothers total cost. For some value of m they are equal. Solve for m and you will have your answer in months.   Jason

P = Probability of being defective = 0.03 1-P = Probability of not being defective = 0.97     12 C 5 = the number of combinations of 5 defects out of 12 (P)5(1-P)7= the probability for a single combination of 5 defects out of 12   The probability of...

In answering each of these questions remember how a function is defined in term the of input and output.    A function is a relationship in which each input has only one output. To check for a function look at the input and its output. Is there another piece of data that has...

Total value = 4.00, let d = number of dimes, let q= number of quarters   We have also been given that d = 2q - 5   Total value = (0.10)(d) + (0.25)(q) = 4.00   Since d = 2q - 5, substitute for d (0.10)(2q - 5) + 0.25q = 4.00   Distribute...

Make sure you draw a sketch to help you set up this problem.  The border will extend beyond the rectangle above, below, left, and right by the same amount, x. Consider the border to be four thin rectangles along the sides and four little squares outside the four corners of the rectangle...