PLEASE ANSWER QUESTION QUICK

Mathematics

2 answers:

Ne4ueva [31]3 years ago

7 0

Answer:

4(x-3)=16?

Step-by-step explanations

X= 7

attashe74 [19]3 years ago

7 0

Step-by-step explanation:

Answers are: - 21 & 7

Let the required number be x

$\therefore \: x \div 3 = - 11 + 4 \\ \\ \therefore \: \frac{x}{3} = - 7 \\ \\ \therefore \: x = - 7 \times 3 \\ \\ \therefore \: x = - 21 \\ \\ 4(x - 3) = 16 \\ (x - 3) = \frac{16}{4} \\ x - 3 = 4 \\ x = 4 + 3 \\ x = 7$

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Point C ∈ AB , AB = 30m. Point C is 1.5 times farther from point A than from point B. Find AC and CB.

Shtirlitz [24]

let's say that C is "x" units farther from B, that means that CB = x, and therefore AC = 1.5x.

$\bf \underset{\leftarrow ~~30~~\to}{\boxed{A}\stackrel{1.5x}{\rule[0.35em]{18em}{0.25pt}}C\stackrel{x}{\rule[0.35em]{10em}{0.25pt}}\boxed{B}}
\\\\\\
AB=AC+CB\implies \stackrel{AB}{30}=\stackrel{AC}{1.5x}+\stackrel{CB}{x}\implies 30=2.5x
\\\\\\
\cfrac{30}{2.5}=x\implies 12=x
\\\\[-0.35em]
~\dotfill\\\\
AC=1.5(12)\implies AC=18~\hspace{8em} CB=x\implies CB=12$