2 years ago

For what value of x is the equation 2(x-12)+ x = 36

Mathematics

2 answers:

Contact [7]2 years ago

6 0

Answer:

J. 20

Step-by-step explanation:

Olenka [21]2 years ago

5 0

Answer:

2(x+12)+x=36

or,2x+24+x=36

or,3x+24=36

or,3x=36-24

or,3x=12

or,x=12/3

or,x=4

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5. PA license plates have 3 letters followed by 4 numbers.

posledela

Answer:

A. 175,760,000

B. 156,000,000

Step-by-step explanation:

For part A:

There are 26 letters in the alphabet. Therefore, if there are 3 spots to use 26 letters, that is represented as $26^3$ . As for numbers, there are 10 digits from 0-9. So if there are 4 spots for numbers, the total possible number of sequences is $10^4$ . So you simply multiply $26^3$ and $10^4$ to get 175,760,000 possible combinations.

For part B:

If the same letter can't be repeated, instead of using an exponent, we have to use a factorial, but only for the 3 digits required in the license plate. These are called permutations and can be expressed as $_2_6P_3$ , which is the same as saying 26 x 25 x 24. Since there is no change to number of numbers, that remains the same.