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Paul [167]
2 years ago
8

One central idea in the Declaration of Independence is that Americans should get rid of the British government and form a new on

e.
Which sentence best expresses that idea?


"They are endowed by their Creator with certain unalienable Rights, that among these are Life, Liberty and the pursuit of Happiness."

"He has refused his Assent to Laws, the most wholesome and necessary for the public good."

"...to secure these rights, Governments are instituted among Men, deriving their just powers from the consent of the governed"

"it is their right, it is their duty, to throw off such Government, and to provide new Guards for their future security."
Mathematics
1 answer:
AleksAgata [21]2 years ago
8 0

Answer:

number 1

Step-by-step explanation:

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When Mrs. Stewart makes pie dough, she uses 2/3 cup of shortening for every 2 1/2 cups of flour which proportion could be used t
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Answer:

The amount of flour Mrs.Stewart needs for 5 cups of shortening =\frac{75}{4} =18\tfrac{3}{4} cups.

Step-by-step explanation:

Mrs.Stewart pie dough needs  \frac{2}{3} cups of shortening for 2\tfrac{1}{2}=\frac{5}{2} cups of flour.

Now we assume that the shortening needed for x cups of flour is y cups.

Accordingly we can arrange the ratios.

So for one cup of shortening how many cups of flour is needed we have to use the unitary method:

\frac{cups\ of flour\ (x)}{cups\ of\ shortening\ (y)} =\frac{x}{y} =\frac{5/2}{2/3}

Plugging the value of y=5 as it is number of cups of shortening Mrs.Stewart have used.

And multiplying both sides with 5.

Number of cups of flour needed when 5 cups of shortenings are used (x) =\frac{x}{y} =\frac{5/2}{2/3}.

So, (x)=\frac{5\times 3\times 5}{2\times 2} =\frac{75}{4} = 18\tfrac{3}{4}

The amount of floor Mrs.Stewart needed for 5 cups of shortening = 18\tfrac{3}{4}\ cups of floor.

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If a figure is translated 7 units to the right and 4 units down, what can be said about the perimeter of the transformed image?
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