A company makes baseball cards in packs of 10, boxes of 100, and cases of 1,000. A store orders a total of 15,470 cards. How can the company fill the order in the exact amount?
Answer: The company can fill the order in exact numbers as:
15 cases, 4 boxes, 7 packs
15 cases contain
cards
4 boxes contain
cards
7 packs contain
cards
Therefore, the total cards are:

Answer:
a) 8259888
b) 34220
c) 45057474
Step-by-step explanation:
Given,
The total number of transistor = 65,
In which, the defective transistor = 6,
So, the number of non defective transistor = 65 - 6 = 59,
Since, out of these transistor 5 are selected,
a) Thus, the number of ways = the total possible combination of 5 transistors = 


b) The number of samples that contains exactly 3 defective transistors = the possible combination of exactly 3 defective transistors = 



c) The number of sample without any defective transistor = The possible combination of 0 defective transistor = 


The answer is 2(x + 3)(x^2 + 1).
Steps:
2x^3 + 6x^2 + 2x + 6
2x^3 + 2x + 6x^2 + 6
2x(x^2 + 1) + 6(x^2 + 1)
(2x + 6)(x^2 + 1)
2(x + 3)(x^2 + 1)
1) If we let the lengths of the legs be x and 2x, then by the Pythagorean theorem,

This means that the length of the hypotenuse is:

2) (Diagram attached) We know that
(in cm)
3) From the Pythagorean identity,

4) 