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spin [16.1K]
3 years ago
13

The Westside Bakery uses 310 pounds of flour to make 1,000 loaves of bread. Each loaf

Mathematics
1 answer:
DanielleElmas [232]3 years ago
7 0

Answer:

310 / 1000 = 0.31 pounds

Step-by-step explanation:

When dividing by a number that is 1 less 0 than how many digits the number has, we can move the decimal point the number of times zero is repeated at the end of the number.

1000 has 3 zeroes, so we move the decimal point 3 moves to the left.

So, we do this:

After 0 moves: 310

After 1 move: 31.0

After 2 moves: 3.10

After 3 moves = 0.310

0.310 is the same as 0.31

Therefore, 0.31 pounds of flour are in each loaf.

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Answer:

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36 divided into 12 equal parts is ...

  36/12 = 3

There will be 3 stickers put in each bag.

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Solve the system of equations and choose the correct answer from the list of options.
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The price of an item yesterday was $180. Today, the price rose to $279. Find the percentage increase.
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Step-by-step explanation:

Percentage increase = (279 - 180)/180 x 100% = 55%

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The maximum weight that a rectangular beam can support varies jointly as its width and the square of its height and inversely as
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\bf \qquad \qquad \textit{joint compound proportional variation} \\\\ \begin{array}{llll} \textit{\underline{y} varies directly with \underline{x}}\\ \textit{and inversely with \underline{z}} \end{array}\implies y=\cfrac{kx}{z}\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{\textit{W varies jointly as its width, squared heght and inversely with length}}{W=\cfrac{wh^2}{L}}

\bf \textit{now we also know that }~~ \begin{cases} w=\frac{1}{4}\\ h=\frac{1}{3}\\ L=12\\ W=30 \end{cases}\implies 30=\cfrac{~~k\frac{1}{4}\left( \frac{1}{3} \right)^2~~}{12} \\\\\\ 360=\cfrac{k}{36}\implies 12960=k~\hfill \boxed{W=\cfrac{12960wh^2}{L}}

\bf \textit{when } \begin{cases} w=\frac{1}{4}\\ h=\frac{1}{2}\\ L=12 \end{cases}\textit{ what is \underline{W}?}\qquad W=\cfrac{12960\left( \frac{1}{4} \right)\left(\frac{1}{2} \right)^2}{12} \\\\\\ W=1080\left( \cfrac{1}{4} \right)\left( \cfrac{1}{4} \right)\implies W=1080\cdot \cfrac{1}{16}\implies W=\cfrac{135}{2}\implies W=67\frac{1}{2}

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3 years ago
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