Using the appropriate arithmetic principle, the solutions to the problems posed are as follows ;
1.)
[tex] 24 = 3 \times 2^{x} [/tex]
Divide both sides by 3
[tex] \frac{24}{3}= 2^{x} [/tex]
[tex] 8 = 2^{x} [/tex]
[tex] 2^{3} = 2^{x} [/tex]
x = 3
2.)
[tex] \frac{3}{5} = \frac{x}{15}[/tex]
Cross multiply
5x = 15 × 3
5x = 45
x = 9
3.)
Multiples of 7:
7 × 1 = 7
7 × 2 = 14
7 × 3 = 21
7 × 4 = 28
7 × 5 = 35
7 × 6 = 42
7 × 7 = 49
The missing multiples are : 14, 35, 42
4.)
42 = 7 × 6
6 = 2 × 3
Missing values are 7 and 3 respectively
5.)
5, 7 and 2
6.)
[tex] a \div 2 = \frac{a}{2}[/tex]
[tex] a \cdot 2 = 2a[/tex]
[tex] a^{2} = a \cdot a [/tex]
[tex] a+a+a = 3a[/tex]
[tex] 0a = 0[/tex]
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