Answer:
1600 integers
Step-by-step explanation:
Since we have a four digit number, there are four digit placements.
For the first digit, since there can either be a 5 or an 8, we have the arrangement as ²P₁ = 2 ways.
For the second digit, we have ten numbers to choose from, so we have ¹⁰P₁ = 10.
For the third digit, since it neither be a 5 or an 8, we have two less digit from the total of ten digits which is 10 - 2 = 8. So, the number of ways of arranging that is ⁸P₁ = 8.
For the last digit, we have ten numbers to choose from, so we have ¹⁰P₁ = 10.
So, the number of integers that can be formed are 2 × 10 × 8 × 10 = 20 × 80 = 1600 integers
Answer:
40/8
Step-by-step explanation:
40 divided by 8 is 5.
The way you can check this is by multiplying 8*5
Basically what number times 8 will equal 40
We define the variables:
p: cost of bushel of peaches
w: cost of watermelon
We wrote the system of equations:
12p + 5w = 150
15p + 8w = 198
We can represent the system in matrix form as
Ax = b
Where,
A = [12 5; 15 8]
b = [150; 198]
x = [p; w]
Hi!
A perfect square is the product of when a whole number is multiplied by itself
Ex:
6 × 6 = 36, 36 is the perfect square.
The number that is being multiplied is the square root.
So to find the correct answer for this question, let's use the process of elimination.
100 = 10 × 10 so we can cross out 100
64 = 8 × 8 so we can cross out 64
25 = 5 × 5 so we can cross out 25
Now all we have left is 24, which is not a perfect square.
Answer: A. 24
Hope this helps :)