<u>Answer:</u>
The answer is D : 4.
<u>Step-by-step explanation:</u>
<em>=2x-3>11-5x</em>
<em>=2x-3+5x>11</em>
<em>=7x-3>11</em>
<em>=7x>11+3</em>
<em>=7x>14</em>
<em>=7x/7>14/7</em>
<em>=x>2</em>
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<em>By simplifying the problem, you can see that "x" </em><em><u>must</u></em><em> be greater than 2. Therefore, eliminating all other possible answers that are shown, but 4. </em>
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<em>I answered the same questions with the same exact wording and explanation so please don't report any answers that are the same as this one, they are all mine and written by me. </em>
The system of inequalities can model Gabrielle’s situation is;
x + 2y ≤ 20
x + 2y ≤ 203x + 2y ≤ 21
<h3>Inequality</h3>
It follows from the task content, that the inequalities which can be used to model Gabrielle's situation be determined.
By setting variables as follows;
- batches of brownies = x
- batches of cookies = y
Brownie:
Sugar = 1 cup
Eggs = 2
Cookie:
Sugar = 3 cups
Eggs = 2
x + 2y ≤ 20
x + 2y ≤ 203x + 2y ≤ 21
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The correct answer is option B which is the volume of the prism is 216 km³.
<h3>What is the volume of the prism?</h3>
A prism is a three-dimensional solid with a triangular base called a triangular prism. The volume of the triangular prism is equal to the product of the area of the base and the height of the prism.
The volume of the prism will be calculated by using the formula below:-
V = Area of the base x Height
Since the base is a right-angle triangle so we will calculate the area of the right-angle triangle.
V = Area of the triangle x Height
V = ( 1/2 ) x 8 x 6 x ( 9 )
V = 216 km²
Therefore the correct answer is option B which is the volume of the prism is 216 km³.
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The interval of the provided inequality expression is -5/9 to the infinity [(-5/9),∞) using the table of signs to solve the inequality.
<h3>What is the inequality equation?</h3>
Inequality equation is the equation in which the two expressions are compared with greater than, less than or other inequality signs.
The inequality given in the problem is,
Simplify the equation first by adding the same terms,
Now in this case, if the value x is ranges from -5/9 to infinity.
Thus, the interval of the provided inequality expression is -5/9 to the infinity [(-5/9),∞) using the table of signs to solve the inequality.
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