It takes 3 eggs to make two dozen cookies. About what fraction of an egg are in two cookies

Mathematics

1 answer:

wariber [46]2 years ago

4 0

keeping in mind that two dozen cookies is just 24 cookies, then

$\begin{array}{ccll} eggs&cookies\\ \cline{1-2} 3 & 24\\ x& 2 \end{array} \implies \cfrac{3}{x}=\cfrac{24}{2}\implies \cfrac{3}{x}=12\implies 3=12x \\\\\\ \cfrac{3}{12}=x\implies \cfrac{1}{4}=x$

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if it would take billy an hour to race over to his girlfriends house and two hours if he went 20 miles per hour slower how far a

mel-nik [20]

Recall your d = rt, distance = rate * time.

now, let's say she lives "d" miles away, and so if Billy goes say at "r" mph fast to her house, he gets there in 1hr.

now, if he goes 20 mph slower, namely " r - 20 " mph, he gets there in 2 hours, same "d" miles.

$\bf \begin{array}{lccclll}
&\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\
&------&------&------\\
\textit{Billy}&d&r&1\\
\textit{slower Billy}&d&r-20&2
\end{array}
\\\\\\
\begin{cases}
d=r(1)\implies d=\boxed{r}\\
d=2(r-20)\\
----------\\
d=2\left( \boxed{d}-20 \right)
\end{cases}
\\\\\\
d=2d-40\implies 40=d$

5 0

3 years ago

3 less than the quotient of 20 and x, write an algebraic expression

schepotkina [342]

$\frac{20}{x}-3$