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Nataly [62]
3 years ago
14

1/3 cup of flour is used to make 5 dinner rolls.

Mathematics
2 answers:
RoseWind [281]3 years ago
6 0

we know that

\frac{1}{3} cup of flour is used to make 5 dinner rolls.

Part a) How much flour is needed to make one dinner roll?

by using proportion

\frac{\frac{1}{3}}{5}  =\frac{x}{1} \\ \\ x=\frac{\frac{1}{3}}{5}\\ \\ x=\frac{1}{15}

therefore

the answer Part a) is

To make one dinner roll is needed \frac{1}{15} cup of flour

Part b) How many cups of flour are needed to make 3 dozen dinner rolls?

Multiply the value obtained in part a) by 36

so

\frac{1}{15} *36=\frac{36}{15} \\ \\ =\frac{12}{5}

\frac{12}{5} =2\frac{2}{5}

therefore

the answer Part b) is

To make 3 dozen dinner rolls are needed 2\frac{2}{5} cup of flour

Part c) How many rolls can you make with 5 2/3 cups of flour?

5\frac{2}{3} =\frac{17}{3}

by using proportion

\frac{\frac{1}{3}}{5}  =\frac{\frac{17}{3}}{x} \\ \\ \frac{x}{3} =\frac{85}{3} \\ \\ x=85

therefore

the answer part c) is

85 rolls

Komok [63]3 years ago
4 0
A) 1/3 ÷ 5 = 1/3 x 1/5 (the reciprocal of 5)  or 1/15 cup to make a single dinner roll
B)  1/15 x 36 (3 dozen) = 36/15 2 \frac{6}{15} cups or 2\frac{2}{5} cups
C) 5 2/3 ÷ 1/15  = 17/3  x 15/1  = 225/3 = 85 rolls
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The measure of each angles  are m∠F = 46°, m∠D = 32°, m∠E = 102°.

<h3>What is angle?</h3>

An angle in plane geometry is a shape created by two rays or lines that have a common endpoint. The Latin word "angulus," which means "corner," is where the word "angle" comes from. The common endpoint of two rays is known as the vertex, and the two rays are known as sides of an angle.

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We have given that Δ DEF has

m∠D = m∠F - 14

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We know that that sum of all angels in a triangle is 180°, So

m∠D + m∠E  +  m∠F = 180°

Substituting the values we get

(m∠F - 14) + (10 + 2(m∠F)) + m∠F = 180°

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4(m∠F)  = 184

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m∠E = 10 + 2( 46°)

m∠E = 10 + 92°

m∠E = 102°

Learn more about angle

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The bill is $100.82. Find the amount of a 15% tip.
amm1812
The tip is $15.12. The total price would be $115.94. I hope this helps you. 
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