Perfect squares are:
1,4,9,16,25,36,49,64,81,100,....
the sum of the digits of our biggest number is 16 so any perfect square bigger than 16 doesn't work for us
1-
1+0=1 so any number containing the digits will work(keep in mind we only will look into whole numbers because digits can't be negative or have fractions or be irrational)
thereful 10 works for our category
2-
0+4=4
1+3=4
2+2=4
22 13 31 and 40 will work two
3-
0+9
1+8
2+7
3+6
4+5
90 18 81 27 72 36 63 45 54
4-
0+16
1+15
2+14
3+13
4+12
5+11
6+10
7+9
8+8
79 97 88
so our set of numbers contain:
10 22 13 31 40 90 18 81 27 72 36 63 45 54 79 97 88
<span> If Jim has x football cards</span>
<span>He will have 5x baseballs cards</span>
Thus
<span> x + 5x = 120 >
total # of cards</span>
<span> 6x = 120</span>
<span> x= 120/6 =
20</span>
<span> so Jim has 5x
baseball cards = 20*5 =100 baseball cards</span>
<span> </span>
Answer:
x = 3 and y = -3
Step-by-step explanation:
To start, let's double the first equation to get 6x + 2y = 12. Add this to the second equation to get 10x = 30, so x = 3 and y = -3.
Answer:
The octagonal prism has 8 lateral faces
Step-by-step explanation:
we know that
The number of lateral faces is equal to the number of sides that the base has
In this problem
The base is a octagon (8 sides)
so
The octagonal prism has 8 lateral faces
Answer:
2, 5, 8, 11, 14
3/2
explanation:
linear functions go up by the same x and same y (f(x))
so while x is going up by 2, y is going up by 3
y/x
the rate of change is 3/2
