Question

HELPP MEEE PLSSS I WILL GIVE HEARTS AND VOTE

Answer 1

$\sf \bf \huge {\boxed {\mathbb {QUESTION}}}$

$\tt Doreen\: went\: to\: see \:her favorite\: sports\: team play\:.\\\tt Her\: car\: can\: go \:120\: miles \:on \:one \:tank\: of gas.\\\tt \:If\: she\: used\: 30\% \:of \:a\: full\: tank \:of\: gas\:, how\\\tt many\: miles\: did\: she \:travel?$

$\tt Doreen\: traveled\: how \:many\:miles.(Type\: an\: integer\\\tt \:or\: a\: decimal.)$

$\sf \bf \huge {\boxed {\mathbb {ANSWER}}}$

$\sf \bf {\boxed {\mathbb {GIVEN}}}$

• $\sf \bf Let\:us \:assume\:Full\:tank\:gas =100 \%$
• $\sf \bf Using \:full \:tank\:of \:gas \:car\: can\: travel =120\: miles$

$\sf \bf {\boxed {\mathbb {TO \:FIND}}}$

• $\sf \bf Distance \:traveled \:by \:the \:car \:using \:30\%\:of\:gas$

$\sf \bf {\boxed {\mathbb {SOLUTION}}}$

${\color {orange} \underline {\tt Distance \:traveled \:by \:the \:car \:using \:1\%\:of\:gas\:be=x}}$

$\sf \bf \implies x=\dfrac{120}{100}$

$\sf \bf \implies x=\dfrac{12\cancel {0}}{10\cancel {0}}$

$\sf \bf \implies x=\dfrac{12}{10}$

$\implies {\boxed {\color {red} {\sf \bf x=1.2\: miles}}}$

${\color {purple} \underline {\tt \therefore \:Distance \:traveled \:by \:the \:car \:using \:1\%\:of\:gas\:is\:1.2\:miles}}$

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${\color {orange} \underline {\tt \:Distance \:traveled \:by \:the \:car \:using \:30\%\:of\:gas\:be=x_1}}$

$\sf \bf \implies x_1=30 \times 1.2$

$\implies {\boxed{\boxed {\color {blue} {\sf \bf x_1=36\: miles}}}}$

${\color {purple} \underline {\tt \therefore \:Distance \:traveled \:by \:the \:car \:using \:30\%\:of\:gas\:is\:36\:miles}}$

${\underbrace {\overbrace {\color {green} {\sf \bf Doreen\: traveled\:{\boxed {36} \:miles.}}}}}$

$\sf \bf \huge {\boxed {\mathbb {HOPE \:IT \:HELPS \:YOU}}}$

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${\color {yellow} {\sf Identities}}$

$\sf \bf {a+b)}^{2}={a}^{2}+2ab+{b}^{2}$

$\sf \bf {a-b)}^{2}={a}^{2}-2ab+{b}^{2}$

$\sf \bf (a+b) (a-b) ={a}^{2} - {b}^{2}$