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Olenka [21]
3 years ago
5

Chef Selena is making her special dish that requires pasta, sauce, and onions. She has 5 1/8 pounds of pasta, 6 pounds of sauce,

and 4 7/8 pounds of onions. How many servings of her dish can she make if each serving is 1/2 pound? Which two equations are needed to solve the problem?
Mathematics
1 answer:
arlik [135]3 years ago
4 0

Answer:

\text{Total Weight of Food Made}, x=5\frac{1}{8}+6+4\frac{7}{8}\\\text{Number of Servings}, y=x \div \frac{1}{2}

Step-by-step explanation:

The Weight of Ingredients to be used by Chef Selena are:

  • 5\frac{1}{8} pounds of pasta,
  • 6 pounds of sauce; and
  • 4\frac{7}{8} pounds of onions.

Total Weight of Food Made, x

=5\frac{1}{8}+6+4\frac{7}{8}\\=5+6+4+\frac{1}{8}+\frac{7}{8}\\=16 \: Pounds

Since each serving is \frac{1}{2} Pounds

Number of Servings of her dish, y

16 \div \frac{1}{2}\\ =32 \: Servings

The two equations needed to solve the problem are therefore:

\text{Total Weight of Food Made}, x=5\frac{1}{8}+6+4\frac{7}{8}\\\text{Number of Servings}, y=x \div \frac{1}{2}

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ValentinkaMS [17]
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3 years ago
Anybody know the answer???
kap26 [50]
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3 years ago
Use the Law of Sines to find the missing angle of the triangle.
Natasha2012 [34]

Answer:

m∠B = 70.0° (nearest tenth)

Step-by-step explanation:

<u>Sine Rule for Angles</u>

\sf \dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}

(where A, B and C are the angles and a, b and c are the sides opposite the angles)

Given:

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Substituting the given values into the formula to find m∠C:

\implies \sf \dfrac{\sin 40^{\circ}}{13}=\dfrac{\sin C}{19}

\implies \sf \sin C=\dfrac{19\sin 40^{\circ}}{13}

\implies \sf C=\sin^{-1}\left(\dfrac{19\sin 40^{\circ}}{13}\right)

\implies \sf m \angle C=69.96086904^{\circ}

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8 0
2 years ago
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Flura [38]
Hello,

Your answer would be 2, -2.

8x^2 - 4 = 28

8x^2-4+4=28+4

8x^2 = 32

\frac{8x^2}{8}=  \frac{32}{8}  &#10;

x^2 = 4

x = +/4 

x = 2 or x = -2

2 , -2 would be the answer! :)


Mark Brainliest if this helped you :)
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3 years ago
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Answer:

im sorry this seems to not be correctly stated

Step-by-step explanation:

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