Answer:
The answer is 9996
Step-by-step explanation:
Using the identity (x+a)(x+b) = x ^2 +(a+b)x+ab
Writing 102 as 100+2 and 98 as 100−2
Hence (100+2)(100−2) = 100 ^2 +[2+(−2)]100+(2)(−2)
= 10000+(0)100−4
= 9996
The answer is 9996
Answer:
11232000 plates can be made.
Step-by-step explanation:
The order of the digits and of the letters is important. For example, ABC is a different configuration than CBA. So we use the permutations formula to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
In this question:
3 digits from a set of 10(there are 10 digits from 0 to 9).
3 letters from a set of 26. So
Total:
11232000 plates can be made.
Answer:
240 cents
Step-by-step explanation:
Given that,
cost of one lollipop = 65 cents
total amount Josie need to paid = 65 * 4 cents = 260 cents
amount Josie gave = $5
As we know
$1 = 100 cents
$5 = 100 * 5 cents
= 500 cents
number of cents Josie will get back
500 - 260
240 cents or $2.40
So, Josie will get 240 cents back
Answer: 19 + 14x ≤ 65
Explanation:
$19 is only added once because there is only one DVD purchased. $14 is added an unknown number of times, thus the variable X is included. We know that that the total number of dollars spent for both items is either less than or equal to 65. (Depending on your teacher, they may want you to write "19 + 14x < 65" if they want you to write the answer only for discrete numbers).
