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Anarel [89]
3 years ago
12

Three people share half a pizza evenly. What fractional part of the original pizza does each one get?

Mathematics
1 answer:
beks73 [17]3 years ago
7 0

Answer:

The fractional part of the original pizza is  \frac{1}{6}

Step-by-step explanation:

Let

x-----> the original pizza (complete pizza)

we know that

Half a pizza represent ------> \frac{x}{2}

Divide half a pizza by three people

(\frac{x}{2})/3=\frac{x}{6}

therefore

The fractional part of the original pizza is  \frac{1}{6}

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Step-by-step explanation:

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3 years ago
Need Answer Immediately!!!!!
Fiesta28 [93]
<h2>Answer:</h2>

y = \frac{-5}{4}x + 3

<h2>Step-by-step explanation:</h2>

As shown in the graph, the line is a straight line. Therefore, the general equation of a straight line can be employed to derive the equation of the line.

The general equation of a straight line is given by:

y = mx + c <em>or            </em>-------------(i)

y - y₁ = m(x - x₁)        -----------------(ii)

Where;

y₁ is the value of a point on the y-axis

x₁ is the value of the same point on the x-axis

m is the slope of the line

c is the y-intercept of the line.

Equation (i) is the slope-intercept form of a line

Steps:

(i) Pick any two points (x₁, y₁) and (x₂, y₂) on the line.

In this case, let;

(x₁, y₁) = (0, 3)

(x₂, y₂) = (4, -2)

(ii) With the chosen points, calculate the slope <em>m</em> given by;

m = \frac{y_2 - y_1}{x_2-x_1}

m = \frac{-2-3}{4-0}

m = \frac{-5}{4}

(iii) Substitute the first point (x₁, y₁) = (0, 3) and m = \frac{-5}{4} into equation (ii) as follows;

y - 3 = \frac{-5}{4}(x - 0)

(iv) Solve for y from (iii)

y - 3 = \frac{-5}{4}x

y = \frac{-5}{4}x + 3 [This is the slope intercept form of the line]

Where the slope is \frac{-5}{4} and the intercept is 3

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3 years ago
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Answer:

(C) Victoria has six sevenths of a pizza. She ate one fourth of it for dinner. How much pizza did Victoria eat for dinner?

Step-by-step explanation:

One clue is "of" in the story and which matches "times" in the equation sentence. The question is is about multiplication.

Words such as "more" "and" & "total" are usually clues that the question is about addition. "Give" "take" "difference" & "have/are left" are clues that there is subtraction in the process. (Please give brainliest!!)

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4.06 Question 9
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Answer: B. Graph of 2 lines that intersect at one point. Both lines are solid. One line passes through (-2,2) and (0,3) and is shaded below the line.

y < = 1/2x + 3...(-2,2)                y < = 1/2x + 3....(0,3)

2 < = 1/2(-2) + 3                        3 < = 1/2(0) + 3

2 < = -1 + 3                                3 < = 0 + 3

2 < = 2 (correct)                        3 < = 3 (correct)

The other line passes through points (0,1) and (1,-2) and is shaded above the line.

y > = -3x + 1...(0,1)            y > = -3x + 1...(1,-2)

1 > = -3(0) + 1                   -2 > = -3(1) + 1

1 > = 0 + 1                         -2 > = -3 + 1

1 > = 1 (correct)                 -2 > = -2 (correct)

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2 years ago
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