Let's say that A is the rate at which Andrew paints, and B is the rate at which Bailey paints. Accordingly: A = 2*B We also know that: A*7 days + B*7 days = 1 house Using substitution, we substitute 2*B for A (2*B)*7...
Let's say that A is the rate at which Andrew paints, and B is the rate at which Bailey paints. Accordingly: A = 2*B We also know that: A*7 days + B*7 days = 1 house Using substitution, we substitute 2*B for A (2*B)*7...
This is a standard relationship/systems of equations question. Here is how you attack it. Firstly, set up equations to represent the relationships. Ed = 4*Kim That shows that Ed has four times as many pins as Kim. Next, we see that the two have 25...
To calculate a percentage change, you set up a fraction. When doing so, put the baseline number on the bottom (which in this case is the 94%, the first exam). So, you get: 86/94 = .9149 This means that 86 is 91.49% of 94. That equates to a 8.51% drop...
Hi Tina- Here is how you solve this one. You need two equations, one representing each of the relationships mentioned above. First, we will use the following variables to represent each person: Anna = A Laura = L Next, here are the equations: A...
This is a multiplication question. You simply multiply 4 * 835: 3340 miles
First of all, let's discuss how to use two points to derive the formula for a line. To do this, you need to use the "point/slope" formula. Step 1 - Find the slope of the line To find the slope, use the following formula (involving the coordinates from above): (y1...
You currently have 50,000 and you want to end up with 1,000,000 in 30 years. I have to assume that the amount of money you need to save will be put in right at the beginning of this 30 year period. Accordingly, the equation you need is as follows: 1,000,000 = (50,000 +...
When parents think about the key factors for academic success, they often look at standard pillars of solid education: (1) a collection of good educators, (2) a wealth of solid academic resources, and (3) a diligent routine of practice and study. These components are certainly essential pieces of the puzzle, but they overlook the keystone underpinning that affects every aspect of learning:... read more
Hi Toni- i'm from Michigan originally :). Anyway, here is how you graph an inequality: 1. Put the function into slope-intercept form: -5x - 2y <= -8 -2y <= 5x - 8 y >= -(5/2)x + 4 (you flip the inequality symbol when you divide both sides by...
Working with high school students is very straightforward. Kids in their mid to late teens are often focused and self-motivated to learn and perform. They are thinking about college and beyond, and usually have some goals in mind that they would like to achieve. Young children, however, are not as determined to plow through hours of mathematical tutelage as their older counterparts. They are... read more
Practice is the key to SAT mastery. No matter what preparatory course you take, what tutor you hire, or what study guides you purchase, all of your resources are for naught if you donâ€™t devote significant time and effort towards practice exams. Knocking out a healthy load of practice tests is particularly important for standardized exams. Why? Because standardization means that the test... read more
The important thing to remember with radicals is that they are essentially to be treated like variables. Let's multiply it out: (24)(V11)2 + 32(V11)(V2) - 12(V2)(V11) - 16(V2)2 The important thing to remember is that what is inside the square roots can be...
Nailing an 800 on the math portion of the SAT can be a tricky feat, even if you are steadfastly familiar with all of the requisite formulas and rules. A difficult problem can overwhelm even the most prepared individual come test day. Time constraints, test surroundings, and the overall weight of the exam can unnerve the most grounded students. So what do you do when panic strikes and... read more
There are a few ways to solve this, but let me explain a way that makes a lot of sense. With problems like these, I begin by writing down known information. The rates for cleaning are (where J = Joey and M = mom): J = 10 hours/room M = 5 hours/room Now,...
This is a really cool question to answer. First, you would divide the regular calories by 3 (based on serving size listed at the top) to get the calories per cookie. That is: 53.3 calories per regular cookie Then, divide the double stuffed by 2 to get the...
Sure, you need to solve this algebraically by isolating r. So: -52 = 4(7 + 5r) -52 = 28 + 20r -80 = 20r r = -4
Of all the important academic exercises, none are as critical to your success as routine reading. Throughout your education, teachers will assign mounds of textbook reading in social studies, English, the sciences, and beyond. While it is imperative that you take your assignments seriously and blast through your requisite reading, that is simply the bare minimum. Your eventual goal should be... read more
First, the basic equations for conic sections are: Circle x2 + y2 = r2 Ellipse x2 / a2 + y2 / b2 = 1 Parabola 4px = y2 Hyperbola x2 / a2 - y2 / b2 = 1 Now, try and get these equations...
1. False 2. True 3. False 4. False
Hi L- I will roll through the questions in the order posted: 1. The distance can be found using the distance formula (which is derived from the Pythagorean theorem): ___________________ \/ (x1 - x2)2 + (y1 - y2)2 ___________________ \/...