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s2008m [1.1K]
2 years ago
14

A recipe calls for 3/4 of a cup of flour to make 5/8 of a pound of bread

Mathematics
1 answer:
schepotkina [342]2 years ago
8 0

Answer:

\huge\boxed{\sf 1 \ pound \ of \ dough = 1\frac{1}{5}  \ cup \ of \ flour}

Step-by-step explanation:

\displaystyle \underline{Given \ that:}\\\\\frac{5}{8} \ pound \ of \ dough = \frac{3}{4} \ cup\ of \ flour\\\\Multiply \ 8 \ to \ both \ sides\\\\5 \ pounds \ of \ dough = \frac{3}{4} \times 8 \ cup \ of \ flour\\\\5 \ pounds \ of \ dough = 3 \times 2 \ cup \ of \ flour\\\\5 \ pounds \ of \ dough = 6 \ cups \ of \ flour\\\\Divide \ both \ sides \ by \ 5\\\\1 \ pound \ of \ dough = \frac{6}{5}  \ cup \ of \ flour\\\\\boxed{1 \ pound \ of \ dough = 1\frac{1}{5}  \ cup \ of \ flour}\\\\

\rule[225]{225}{2}

Hope this helped!

<h3>~AH1807</h3>
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Answer: the maximal margin of error associated with a 90% confidence interval for the true population mean turtle weight = 4.23

Step-by-step explanation:

Formula for margin of error : E=\dfrac{z^*\times (Population\ standard\ deviation)}{\sqrt{Sample\ size}}

, where z* = Critical z-value.

Given: population standard deviation = 11.5 ounces

Sample size = 20

Z value for 90% confidence level = 1.645

margin of error (E) = \dfrac{1.645\times11.5}{\sqrt{20}}

\approx4.23

Hence, the maximal margin of error associated with a 90% confidence interval for the true population mean turtle weight = 4.23

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Step-by-step explanation:

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Circles M and K are congruent, QR, is congruent to LN and OP is congruent to VW. Find x and y
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And the expressions for each arc in the diagram also given as:

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Hence, we will get the system of equations as following:

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Next step is to add the two equation to eliminate y so that we can solve the equations for x. Therefore,

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