Answer:
315
Step-by-step explanation:
Each of the 15 teams plays each of the other 14, for a total of 210 games. However, that count includes both A playing B and B playing A. Hence, if the teams meet 3 times, the total number of games will be 3/2 this amount:
(15)(14)(3/2) = 315 . . . league games
Answer:
A - 4/25
Step-by-step explanation:
out of 50 trials Nadia got oraange 8 times
8 out of 50 = 8/50
this is the probability and can be simplified to 4/25
Answer:
Exactly 1.30725 bags are needed to cover the garden.
Step-by-step explanation:
We have a yard with a surface of 1307.25 square feet.
We know that one bag of fertilizer covers 1000 square feet.
We want to know how many bags are needed to cover the garden. We can calculate the number of bags as:
B: number of bags needed for the yard.
S: surface of the yard.
b: number of bags per square foot.
SA=2H(L+W)+LW for open box
20=2H(4+W)+4(W)
distribute
20=8H+2WH+4W
divide both sides by 2
10=4H+WH+2W
solve for 1 variable, pick W
10-4H=WH+2W
10-4H=W(H+2)
(10-4H)/(H+2)=W
V=LWH
subsitute 4 for V, subsitute H for H and (10-4H)/(H+2) for W
V=(4)(H)(10-4H)/(H+2)
V=(40H-16H²)/(H+2)
find max value
take deritivitive of this thing
V'=-16(H²+4H-5)/((H+2)²)
using sign chart
sign changes from positive to negative at H=1
so at H=1
find W
W=(10-4H)/(H+2)
W=2
the dimeionts are
length=4ft
width=2ft
height=1ft
(the volume is 8 cubic feet)
Unit digit=y
tens digit=x
the number: 10x+y
We suggest this system of equations:
x+y=7
(10y+x)=(10x+y)+9
we solve it by substitution method.
x=7-y
10y+(7-y)=(10(7-y)+y)+9
9y+7=70-10y+y+9
9y+10y-y=70+9-7
18y=72
y=72/18=4
x=7-y
x=7-4=3
number=10x+y=10*3+4=30+4=34
solution: the number: 34
To check:
3+4=7
43=34+9
