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3 years ago

Eric and Carly each made a bowl of punch. Carly used 5 times as much lemonade as Eric did. If Eric used 1/4 of a

Mathematics

1 answer:

Viktor [21]3 years ago

8 0

Answer:

carly used 1 1/4 cups of lemonade

Step-by-step explanation:

I think that is simplified

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Morgan, Dakota and Taylor showed their work solving the equation 7x+5x+1=73. Identify the student with the invalid first step an

antoniya [11.8K]

Answer:

Step-by-step explanation:

Given the equation solved by Morgan, Dakota and Taylor expressed as 7x+5x+1=73, to get the value of x, the valid steps are as shown;

7x+5x+1=73

take the sum of 7x and 5x

12x+ 1 = 73

subtract 1 from both sides

12x+1-1 = 73-1

12x = 72

Divide both sides by 12

12x/12 = 72/12

x = 6

Based on the calculation above, the students with invalid first step is Dakota.

<em>Dakota added 5x with 1 to get 6x which is an invalid step because 1 is not attached to a variable x. A function cannot be added to a constant hence making his first step invalid.</em>

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3 years ago

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Which strategy best explains how to solve this problem? Claire bought a cup of coffee and two magazines each Saturday. The coffe

Nonamiya [84]

B is the best strategy. (You mentioned an option D, but it's not shown in your question!!)

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3 years ago

In order to apply the law of sines to find the length of the side of a triangle, it is enough to know which of the following?

larisa86 [58]

Answer:

We must have two angles and a side.

A is the correct option.

Step-by-step explanation:

For any triangle ABC, the law of sine is given by

$\frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}$

From this formula it is clear that in order to find the length of the side of the triangle, we must have two angles and a side.

Let us understand this by assuming that we need to find a (length of the side). From the formula, we have

$\frac{a}{\sin A}=\frac{b}{\sin B}\\\\a=\frac{b\sin A}{\sin B}$

Thus, to find the length a, we must have b, sin A and sin B.

Hence, o find the length of the side of the triangle, we must have two angles and a side.

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3 years ago

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Factor the GCF from this polynomial <br><br> 40x-10

kipiarov [429]

10(4x-1) is the answer to your question my friend

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3 years ago

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Solve for x. Round your answer to the nearest hundredth. 15.56x − 200 < 758.92

Flauer [41]

Answer: x < 61.63

Step-by-step explanation:

15.56x - 200 < 758.92

+200 +200

15.56x < 958.92

/15.56 /15.56

x < 61.63

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3 years ago