$\qquad \qquad \textit{direct proportional variation}\\\\\textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill }\\\\\textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill }\\\\[-0.35em]~\dotfill$

$\stackrel{\textit{"th" varies directly with "p"}}{th=kp}\qquad \textit{we also know that} \begin{cases} th=1.8\\ p=350 \end{cases} \\\\\\ 1.8=k(350) \implies \cfrac{9}{5}=350k\implies \cfrac{9}{1750}=k~\hfill \boxed{th=\cfrac{9}{1750}k} \\\\\\ \textit{when p = 84, what is "th"?}\qquad th=\cfrac{9}{1750}(84)\implies th=\cfrac{54}{135}\implies th=0.432$

8 0

2 years ago

Sophia is a member of a club for grphic designers. her membership costs $16 every month.

leonid [27]

That is amazing for Sophie I hope she enjoys

8 0

3 years ago

The length of Dwight's garden is 12.5 meters. Dwight measured it but made a measurement error of 6%. Find the lowest and highest

pishuonlain [190]

Answer: See Explanation

Step-by-step explanation:

From the question, The length of Dwight's garden is 12.5 meters but he measured it and made a measurement error of 6%.

The lowest measurement Dwight could have made will be:

= 12.5 - (6% × 12.5)

= 12.5 - (0.06 × 12.5)

= 12.5 - 0.75

= 11.75 meters

The lowest measurement Dwight could have made will be:

= 12.5 + (6% × 12.5)

= 12.5 + (0.06 × 12.5)

= 12.5 + 0.75

= 13.25 meters

3 0

3 years ago