2 years ago

One quart is about 0.946 liters. A recipe for punch requires diluting the punch concentrate with 7 quarts of water. To the neare

st tenth, how many liters of water are required to dilute the concentrate according to the directions?

1 answer:

4 0

$1\ quart\ is\ 0.946\ liters\\
7\ quarts\ is\ x\ liters\\\\
making\ proportion:\\
1-0.946\\
7-x\\\\
cross\ multiplication:\\
x=7*0.946\\\\
x=6,622\\\\
6.7\ liters\ of\ water\ are\ required.
$

You might be interested in

If cotθ=1/<img src="https://tex.z-dn.net/?f=%5Csqrt%7Bx%7D%203%5C%5C" id="TexFormula1" title="\sqrt{x} 3\\" alt="\sqrt{x} 3\\" a

kobusy [5.1K]

$\text{Given that,}~\\\\\cot \theta = \dfrac 1{\sqrt 3} \\\\\\\text{So,}~~ \tan \theta = \dfrac 1{\cot \theta} = \sqrt 3\\\\\\\sec^2 \theta + \csc^2 \theta \\\\=(1+\tan^2 \theta) + (1 + \cot^2 \theta)\\\\=1 +\left (\sqrt 3 \right)^2 + 1 + \left(\dfrac 1{\sqrt 3} \right)^2\\\\=1 +3 + 1 + \dfrac 13 \\\\= 5 + \dfrac 13 \\\\= 5 \dfrac 13$