Mathematics: Person who is 6 feet tall stands next to a life size model of a dinosaur the shadow cast by the person is 4 feet long at the same time the shadow cast by dinosaur s model.how tall is the dinosaurs model?

SOLVING THE INEQUALITY TO MATCH OPTION AConsidering the inequality Thus,Therefore, the inequality has the solution which matches the option A. SOLVING THE INEQUALITY TO MATCH OPTION BConsidering the inequality Thus,Therefore, the inequality has the solution which matches the option B. SOLVING THE INEQUALITY TO MATCH OPTION CConsidering the inequality ∵ Therefore, the inequality has the solution which matches the option C.SOLVING THE INEQUALITY TO MATCH OPTION DConsidering the inequality...

Person who is 6 feet tall stands next to a life size

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484132604

05.10.2021

Mathematics

SOLVING THE INEQUALITY 3x-10 TO MATCH OPTION A

Considering the inequality

3x-10

3x-10+10

$\frac{3x}{3}$

Thus,

3x-10

Therefore, the inequality 3x-10 has the solution which matches the option A.

SOLVING THE INEQUALITY $-4x+7\ge \:27$ TO MATCH OPTION B

Considering the inequality

$-4x+7\ge \:27$

$-4x+7-7\ge \:27-7$

$-4x\ge \:20$

$\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}$

$\left(-4x\right)\left(-1\right)\le \:20\left(-1\right)$

$4x\le \:-20$

$\frac{4x}{4}\le \frac{-20}{4}$

$x\le \:-5$

Thus,

$-4x+7\ge \:27\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:-5\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:-5]\end{bmatrix}$

Therefore, the inequality $-4x+7\ge \:27$ has the solution $x\le \:-5$ which matches the option B.

SOLVING THE INEQUALITY $\frac{x}{1}-9$ TO MATCH OPTION C

Considering the inequality

$\frac{x}{1}-9$

$\mathrm{Apply\:rule}\:\frac{a}{1}=a$

x-9 ∵ $\frac{x}{1}=x$

x-9

x-9+9

$\frac{x}{1}-9$

Therefore, the inequality $\frac{x}{1}-9$ has the solution which matches the option C.

SOLVING THE INEQUALITY $5\left(x-2\right)-15$ TO MATCH OPTION D

Considering the inequality

$5\left(x-2\right)-15$

$\mathrm{Divide\:both\:sides\:by\:}5$

$\frac{5\left(x-2\right)}{5}\frac{-15}{5}$

x-2-3

x-2+2-3+2

x-1

Thus,

$5\left(x-2\right)-15\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x-1\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-1,\:\infty \:\right)\end{bmatrix}$

Therefore, the inequality $5\left(x-2\right)-15$ has the solution x-1 which matches the option D.

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Person who is 6 feet tall stands next to a life size model of a dinosaur the shadow cast by the person is 4 feet long at the same time the shadow cast by dinosaur's model.how tall is the dinosaurs model?

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