Answer:
Step-by-step explanation: easy.. 4500×6=243000
:) your welcome
Answer:
P(algebra, then statistics) = 7/80
Step-by-step explanation:
The total number of books is 7 + 8 + 5 = 20.
1. P(algebra, then statistics)
The probability that the first book is an algebra book is 7/20.
Carlos then replaces the book, so the total is still 20.
The probability that the second book is a statistics book is 5/20.
Therefore, the total probability is:
P(algebra, then statistics) = 7/20 × 5/20
P(algebra, then statistics) = 7/80
First:
2x + 2z = 4
2(x+z)=4
x+z=4/2
x=2-z
-x - y - z= -8
-(2-z)-y-z= -8 replace x
-2+z-y-z= -8 (cancel z)
-2-y= -8
6 = y
Then:
-4x + 4y + 5z = 7 replace x and y
-4(2-z)+4*6 + 5z = 7
-8 + 4z + 24 + 5z = 7
16 + 9z = 7
9z = 7 - 16
9z = -9
z = -9/9
z= -1
Finally
x= 2-z replace z
x = 2- (-1)
x = 3
Answer:
6 tickets were purchased at $47
8 tickets were purchased at $57
Step-by-step explanation:
Let the tickets purchased at $47 be x
Let the tickets purchased at $57 be y
We can form an equation from the question given which will be:
x + y = 14 ....... i
47x + 57y = 738 ........ ii
From equation i
x = 14 - y ........ iii
Substitute iii into ii
47x + 57y = 738
47(14-y) + 57y = 738
658 - 47y + 57y = 738
Collect like terms
-47y + 57y = 738 - 658
10y = 80
y = 80/10
y = 8
8 tickets were purchased at $57
Note that from i
x + y = 14
x + 8 = 14
x = 14 - 8
x = 6
6 tickets were purchased at $47
The unlabeled part of the right angle is complementary to 68 degrees, so 22 degrees. y is supplementary to 78 degrees, so 102 degrees. z as the third angle in the small triangle is 180 less than the sum of the other two,
z = 180 - 22 - 102
Answer: 56 degrees
