Answer:
There are 3,628,800 different ways for the runners to finish.
Step-by-step explanation:
Arrangments of x elements:
The number of possible arrangments of x elements is given by the following formula:
In this question:
10 different runners, which means that the number of different ways that there are for the runners to finish is an arrangment of 10 elements. So
There are 3,628,800 different ways for the runners to finish.
Answer:
a) 5%
b) 24%
Step-by-step explanation:
a) You buy a game for $40, and the sales tax is $2. What percent of the game price are you paying in sales tax?
Percentage you are paying in sales tax
= Sales tax / Sale price of the game × 100
= $2/$40 × 100
= 5%
b) Your doctor told you to eat 25 grams of fiber each day. You had 6 grams of fiber for breakfast. What percent of the 25 grams of fiber have you eaten so far?
The percent of 25 grams of fiber you have eaten so far =
6 grams/25 grams × 100
= 24%
Rhombus area = (diagonal 1 * diagonal 2) / 2
rhombus area = (26 * 15) /2
rhombus area =195 square yards
Source:
http://www.1728.org/quadrhom.htm
Answer:
a) (4,5)
b) (0,-3)
Step-by-step explanation:
We have to perform the following reflection over given ordered pair.
a) Reflect the ordered pair (-4,5) across the y-axis
Reflection over y-axis:
Thus, (-4,5) will be reflected over y-axis as
b) Reflect the ordered pair (0,3) across the y-axis
Reflection over x-axis:
Thus, (0,3) will be reflected over x-axis as
10y^2 - 23y + 12 = 10y^2 - 15y - 8y + 12 = 5y(2y - 3) - 4(2y - 3) = (5y - 4)(2y - 3)
