A parallelogram has a base of 9 units and a corresponding height of 2/3 units. What is the area

1 answer:

4 0

Area or parallelogram = base * height

Area = 9 units * 2/3 units

Area = 9/1 * 2/3 square units

Area = 18/3 square units

Area = 6 square units

Answer: area = 6 square units

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Mike has coffee worth $4 per pound that he wishes to mix with 20 pounds of coffee worth $7 per pound to get a mixture that can b

Alinara [238K]

$\bf \begin{array}{lccclll}
&\stackrel{lbs}{amount}&\stackrel{per~lb}{price}&\stackrel{amount}{price}\\
&------&------&------\\
\textit{\$4/lb coffee}&x&4&4x\\
\textit{\$7/lb coffee}&20&7&140\\
------&------&------&------\\
mixture&y&5&5y
\end{array}$

so, we know the mixture is the sum of both types of coffee, thus x + 20 = y, and 4x + 140 = 5y.

$\bf \begin{cases}
x+20=\boxed{y}\\
4x+140=5y\\
----------\\
4x+140=5\left( \boxed{x+20} \right)
\end{cases}
\\\\\\
4x+140=5x+100\implies 140-100=5x-4x\implies 40=x$

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MA_775_DIABLO [31]

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2 years ago

A television sports commentator wants to estimate the proportion of citizens who "follow professional football." Complete parts

masha68 [24]

Answer:

626 and 654

Step-by-step explanation:

Given that a television sports commentator wants to estimate the proportion of citizens who "follow professional football."

Part I:

p = 0.48

$q=1-p = 0.52\\se = \sqrt{\frac{pq}{n} } \\\frac{0.4996}{\sqrt{n} } =$