What is z + 1/8 > 1/5?

1 answer:

6 0

$Solution,z+\frac{1}{8}>\frac{1}{5}\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:z>\frac{3}{40}\:\\ \:\mathrm{Decimal:}&\:z>0.075\\ \:\mathrm{Interval\:Notation:}&\:\left(\frac{3}{40},\:\infty \:\right)\end{bmatrix}$

$Steps:$

$z+\frac{1}{8}>\frac{1}{5}$

$\mathrm{Subtract\:}\frac{1}{8}\mathrm{\:from\:both\:sides}, z+\frac{1}{8}-\frac{1}{8}>\frac{1}{5}-\frac{1}{8}$

$\mathrm{Simplify}, z+\frac{1}{8}-\frac{1}{8}=z, \frac{1}{5}-\frac{1}{8}=\frac{3}{40}, z>\frac{3}{40}$

$\mathrm{The\:Correct\:Answer\:is\:z>\frac{3}{40}}$

$\mathrm{Hope\:This\:Helps!!!}$

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What is the product of (2x-7) and (3x + 3)?

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<h3>✒️EVALUATION </h3>

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$\large\sf\underline{Problem:}$

What is the product of (2x-7) and (3x + 3)?

A. 6x2 + 15x-21
B. 6x2 - 15x - 21
C. 6x2 + 15x + 21
D. 6x2 - 15x + 21

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$\large\sf\underline{Answer:}$

$\qquad \qquad \huge \rm Letter\:B.$

*Please read and understand my solution. Don't just rely on my direct answer*

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$\large\sf\underline{Solution:}$

Here we have the given choices:

A. 6x2 + 15x-21
B. 6x2 - 15x - 21
C. 6x2 + 15x + 21
D. 6x2 - 15x + 21

Solve this equation using the distributive property,where you multiply each term to get the number.

$\begin{gathered} \rm2x - 7 = \boxed{ 6} \: \bigg| \small\boxed{\: 6 {x}^{2} } \\ \rm (7)(3) = \boxed{21} \bigg | \boxed{\: 21 x} \\ \\ \qquad \rm6x^{2}+(6x- 21x)-21 \\ \qquad \boxed{ \rm6 {x}^{2} + 15x - 21}\end{gathered}$