Represent these consecutive numbers (assuming that they are all integers):
x
x+1
x+2
x+3
x+4
x+5
and so on
x+8
x+9 is the tenth number. x+9 = 10, so x = 9.
Think of it this way: there are 10 consecutive numbers, and the last one is 10.
Working backwards, we get the sequence 10, 9, ... 3, 2, 1.
The sum of such an arith sequence is equal to the count of the numbers times the average of the first and last terms:
sum here = 10(1+10)/2 = 5(11) = 55 (answer)
Consumer Price Index or also most commonly known as CPI is calculated through the equation,
CPI = (price at a certain year / price at base year) x 100
Since, we have chosen 2014 as the base year, the denominator of the fraction will be $86. Calculating the CPI for 2015,
CPI = ($90/$86) x 100
= <em>104.65</em>
Answer:
Four unique planes
Step-by-step explanation:
Given that the points are non co-planar, triangular planes can be formed by the joining of three points
The points will therefore appear to be at the corners of a triangular pyramid or tetrahedron such that together the four points will form a three dimensional figure bounded by triangular planes
The number of triangular planes that can therefore be formed is given by the combination of four objects taking three at a time as follows;
₄C₃ = 4!/(3!×(4-3)! = 4
Which gives four possible unique planes.
The movement of the minute hand is circular.
Tangence speed is V=2Rπ/T= 2*7*3.14/3600 inches/sec=0.012211 inches/sec
The path (distance) that minute hand past is D=V*t = 0.012211 * 5 min= 0.012211 * 300sec=>
D=3.663≈3.66 inches
Good luck!!!
⓵ You have to do a cross product in order to find your answer :
1/4 lb → 3 servings
1 ½ lb → × servings
(3 x 1 ½) ÷ 1/4 = (3 x 1,5) ÷ 0,25
⓶ Now you need to solve the equation :
(3 x 1,5) ÷ 0,25
↓
(4,5) ÷ 0,25
↓
4,5 ÷ 0,25 = 18
Which means that your final answer is that Mark can make 18 servings with 1 ½ lb of onions!
I hope this helped! ☻
