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3 years ago

Chicago Pizza charges $10.49 for a medium 14" pepperoni pizza and NY Pizza charges $20.99 for an x-large 18" pepperoni pizza.

Mathematics

1 answer:

nignag [31]3 years ago

4 0

Answer:

The cost per square inch for the NY pizza is $0.08.

Step-by-step explanation:

To solve this problem we first need to calculate the area of each pizza, since they're circular their area is given by:

area = pi*r² = pi*(d/2)²

Chicago:

area = 3.14*(14/2)² = 153.86 square inches

NY:

area = 3.14*(18/2)² = 254.34 square inches

The cost per square inch is given by the cost of the pizza divided by it's area. So for NY:

cost per square inch = 20.99/254.34 = $0.08 per square inch

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pantera1 [17]

Answer:

Part A: The graph of given inequality is shown below.

Part B: The point (4,6) is not a solution of given system of inequalities.

Step-by-step explanation:

Part A:

The given inequalities are

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$y=2x+3$

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Put x=0, to find the y-intercepts.

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Put y=0, to find the x-intercepts.

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The x and y-intercepts of first line are (0,3) and (-1.5,0) respectively. The x and y-intercepts of second line are (0,-4) and (-2.667,0) respectively.

Check the given inequality by (0,0).

$0>2(0)+3$

$0>3$

This statement is false. It means (0,0) is not the solution of this inequality and the shaded region is opposite side of the origin.

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This statement is false. It means (0,0) is not the solution of this inequality and the shaded region is opposite side of the origin.

The graph of given inequalities is shown below.

Part B:

We have to check whether (4,6) is a solution of the system of inequality or not.

Check the given inequality for the point (4,6).

$(6)>2(4)+3$

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This statement is false. It means (4,6) is not the solution of given system of inequalities.

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Answer:

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3 years ago

Which value of x satisfies both -9x+4y=8 and -3x-y=4 given the same value of y?

Deffense [45]

The value of x satisfies both -9x + 4y = 8 and -3x - y = 4 given the same value of y is $-\frac{8}{7}$

Step-by-step explanation:

The system of equations has two equations:

-9x + 4y = 8
-3x - y = 4

Let us solve the system of equations to find the value of x and substitute it in the two equations to check if it gives the same value of y in the two equations

∵ -9x + 4y = 8 ⇒ (1)

∵ -3x - y = 4 ⇒ (2)

- Multiply equation (2) by 4 to make the coefficients of y in the

two equations have same value and different signs

∴ -12x - 4y = 16 ⇒ (3)

- Add equations (1) and (3) to eliminate y

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- Divide both sides by -21

∴ x = $-\frac{8}{7}$

Let us substitute this value of x in equations (1) and (2) to find y

∵ -9( $-\frac{8}{7}$ ) + 4y = 8

∴ $\frac{72}{7}$ + 4y = 8

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∴ 4y = $-\frac{16}{7}$

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∴ $\frac{24}{7}$ - y = 4

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∴ - y = $\frac{4}{7}$

- Divide both sides by -1

∴ y = $-\frac{4}{7}$

The value of x satisfies both -9x + 4y = 8 and -3x - y = 4 given the same value of y is $-\frac{8}{7}$

Learn more:

You can learn more about the system of equations in brainly.com/question/2115716

#LearnwithBrainly

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