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ra1l [238]
2 years ago
8

Marcus is making homemade barbecue sauce. The recipe calls for 3 cups of ketchup for every 1/2 cup of mustard. What is the rate

in cups of ketchup per cup of mustard?
Mathematics
1 answer:
Yuki888 [10]2 years ago
5 0

Answer: 6 cups of ketchup per cup of mustard

Step-by-step explanation:

Given : The recipe calls for 3 cups of ketchup for every \dfrac12 cup of mustard.

That means , for \dfrac12 cup of mustard. we need 3 cups of ketchup.

By using proportions, if we multiply 2 on both sides ,we get

for  \dfrac12\times 2 cup of mustard. we need 3\times 2 cups of ketchup.

⇒ for  1 cup of mustard. we need 6 cups of ketchup.

Hence, the required rate = 6 cups of ketchup per cup of mustard

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Norma-Jean [14]

Answer:

(C)Determine the principal square root of both sides of the equation.

Step-by-step explanation:

Given: Isosceles right triangle XYZ (45°–45°–90° triangle)

To Prove: In a 45°–45°–90° triangle, the hypotenuse is \sqrt{2} times the length of each leg.

Proof:

\angle XYZ$ is 90^\circ$ and the other 2 angles are 45^\circ. \\\overline{XY} = a, \overline{YZ}= a, \overline{XZ}= c.\\

Because triangle XYZ is a right triangle, the side lengths must satisfy the Pythagorean theorem, a^2 + b^2 = c^2

Since a=b in an isosceles triangle:

a^2 + a^2 = c^2\\$Combining like terms\\2a^2 = c^2\\$Determine the principal square root of both sides of the equation.\\\sqrt{c^2}=\sqrt{2a^2}  \\\\c=a\sqrt{2} \\

Therefore, the next step is to Determine the principal square root of both sides of the equation.

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2 years ago
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trapecia [35]
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The correct answers to the question above includes:

a=.1
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andre [41]

Answer:

The customer saves 5.9 - 5.5 = $0.5

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Step-by-step explanation:

Stores A and B sells bananas at different prices per pound.

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If a customer wants to buy 10 pounds of bananas from store A and store B,

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