Answer:
There are 26 tiles in the bag.
To spell the word DOT, we have to select 3 tiles from the bag.
This can be done in
26C3 ways.
Out of this, the word DOT can be correctly spelled in only 1 way.
Hence, the Prob.
=1 / 26C3
Answer:
x = 5 , y = 2
Step-by-step explanation:
5x + 2y = 29 ....................(1)
x + 4y = 13 Multiply this equation by -5:-
-5x - 20y = -65.................(2)
Add equations (1) and (2):-
-18y = -36
y = 2
Substitute for y in equation (1):-
5x + 2(2) = 29
5x = 25
x = 5
Check the results in the second equation:-
x + 4y = 13
5 + 4(2) = 13 - It checks out.
Answer:
![k=-2j+24](https://tex.z-dn.net/?f=k%3D-2j%2B24)
Step-by-step explanation:
Take two points from the graph
(0,24) and (6,12)
Find the slope
The formula to calculate the slope between two points is equal to
![m=\frac{k2-k1}{j2-j1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7Bk2-k1%7D%7Bj2-j1%7D)
substitute
![m=\frac{12-24}{6-0}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B12-24%7D%7B6-0%7D)
---> is negative because is a decreasing function
Find the equation of the line in slope intercept form
![k=mj+b](https://tex.z-dn.net/?f=k%3Dmj%2Bb)
we have
![m=-2\\b=24](https://tex.z-dn.net/?f=m%3D-2%5C%5Cb%3D24)
Note: The y-intercept is given (0,24)
substitute
![k=-2j+24](https://tex.z-dn.net/?f=k%3D-2j%2B24)
Answer: A) 270
Step-by-step explanation:
360 ÷ 8 = 45
45 × 6 = 270
Most of these problems are the commutative property:
Addition
a + b = b + a
Multiplication
a * b = b * a
and the associative property:
Addition
(a + b) + c = a + (b + c)
Multiplication
(a * b) * c = a * (b * c)
There's also the Identity property:
Addition \ Subtraction:
a + 0 = a \ a - 0 = a
Multiplication \ Division:
a * 1 = a \ a / 1 = a