Solve for each unknown variable, #67

Mathematics

1 answer:

mel-nik [20]4 years ago

3 0

3x +10= 2x + 34

x = 24

82°

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Question 2 What is the quotient? 5,984 = 33 = ?

Serggg [28]

Step-by-step explanation:

$\frac{5984}{33}$

$\frac{5984}{3 \times 11}$

$\frac{544}{3}$

= 181.33

7 0

3 years ago

A lottery game requires that a person select in uppercase or lowercase letter followed by two different two-digit numbers (where

Irina-Kira [14]

Using the Fundamental Counting Theorem, it is found that there are 416,520 ways to fill out a lottery ticket.

<h3>What is the Fundamental Counting Theorem?</h3>

It is a theorem that states that if there are n things, each with $n_1, n_2, \cdots, n_n$ ways to be done, each thing independent of the other, the number of ways they can be done is:

$N = n_1 \times n_2 \times \cdots \times n_n$

In this problem:

First, one uppercase or lowercase letter is chosen, there are 26 of each, hence $n_1 = 52$ .

Then, two different two-digit numbers are chosen, and there are 90 of them, hence $n_2 = 90, n_3 = 89$ , as the third digit has to be different of the second.