Wynonna Errors Flashcards
What is the percent greater than formula?
Final value = (1 + x/100) initial value
How do you find the total number of sides in a regular polygon?
((n-2)180) / n = interior angle
(n-2)180 = sum of interior angles
(n-2)*180 = interior angle * n
In a component price mixture, what is the matrix format?
Component // Unit Price // Total Price
Translate into an equation:
On Tuesday, 20% of all orders were for grilled tomatoes vs fried mushrooms.
2/8=G/F
What is the formula for the area of a uniform trim that surrounds a circle?
pi*(r2^2 - r1^2)
Where r2 is the radius of the outer circle and r1 is the radius of the inner circle
Put this in a formula:
If John had sold his car for $2400 last year, he would have made a 60% profit
Final amount = initial amount (1 + x/100)
2,400= initial amount ( 1+ 60/100)
Put this in a formula:
If John had sold his car for $1200 last year, he would have made a 20% loss
Initial amount (1 - 20/100) = final amount
Initial amount (1 - 20/100) = 1200
When asked to solve a ratio problem where there are multiple units, convert the ratios into the units that you are trying to solve for.
E.g. when asked to solve how many 16 ounce cans are needed, take the total ounces and divide by the no. of ounces per can.
Given two quadrilaterals with the same perimeter, which one will have the bigger area? The square or the rectangle?
The square will always have the maximum area
What is the formula for the surface area of a right circular cylinder?
2pi*r (r+h)
When an equilateral triangle is split in 2, what is the result?
2 30-60-90 triangles with side proportions of x, root3*x, 2x
What is the sum of the exterior angles of any polygon?
360 (make sure you are only adding 1 exterior angle per vertex)
What is the permutation formula?
nPr= n! / (n-r)!
What is the formula for P(x or y) when x and y are not mutually exclusive?
How about when the are mutually exclusive?
P(x or y)= P(x) + P(y) - P(x and y)
P(x or y)= P(x) + P(y)
What is the area of a trapezoid?
(a+b)h / 2
What are the components of a wet mixture problem?
1) concentration of components
2) amount of components
3) total amount of concentrate
The product of n consecutive even integers will always be divisible by what?
2^n * n!
What is the exponential decay formula?
Initial amount *(1+r)^t
In similar triangle, what properties must you know?
1) ratio of sides will be the same
2) ratio of the areas will equal the ratios of the squares of the sides
Sum of the first “n” natural numbers
N(N+1)/2
Sum of the first n odd numbers
N^2
Sum of the first n even numbers
n(n+1)
What is 0.1^3?
0.001
What is 1/10 percent of 5000?
1/(10*100) * 5000 = 1/1000 * 5000 = 5
If each year for 4 years, a farmer increased the number of trees in an orchard by 1/4 of the number of trees in the orchard in the preceding year… what if the formula for the number of trees at the end of the 4 year period?
(5/4)^4 * x =
Where x is the number of trees at the beginning of the 4 year period
What is 12*7?
84
When positive integer x is divided by y,
The remainder is 9. If x/y = 96.12, what is the value of y?
Remainder/y = .12
9/y= .12
Y=900/12
For quadratic equation ax^2+bx+c… what is the sum of the roots and product of the roots?
Sum=-b/a
Product=c/a
Which is greater:
1) sqrt(x) + sqrt(y)
2) sqrt(x+y)
1) sqrt(x) + sqrt(y) is always greater unless both or either x and y are 0, in which case they are equal.
Any positive integer root from a number more than 1 will be what?
More than 1