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Morgarella [4.7K]
2 years ago
4

Frankie folded a piece of paper 12 inches by 9 inches into sections as shown below. What fraction of the total area is in each s

ection

Mathematics
1 answer:
weqwewe [10]2 years ago
7 0

Answer:

Option B.  \frac{1}{3}

Step-by-step explanation:

<u><em>The picture of the question and the options in the attached figure</em></u>

we know that

The dimensions of the piece of paper is 12 inches by 9 inches

The total area is (12)(9)=108 square inches

Frankie folded a piece of paper into three sections

The dimensions of each piece of paper is

4 inches by 9 inches

The area of each piece of paper is

(4)(9)=36 square inches

therefore

To find out what fraction of the total area is each section , divided the area of one section by the total area

so

\frac{36}{108}

Simplify

\frac{1}{3}

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11. The sales tax rate is 6.9%
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Answer:

40.1%

Step-by-step explanation:

I am assuming that 192 is in 100%.

100% = 192

I then represent the value that we are looking for with x.

x% = 77

By dividing both equations (100% = 192 and x% = 77) and remembering that both left hand sides of BOTH equations have the percentage unit (%).

\frac{100}{x} = \frac{77}{192}

Now, of course, we take the reciprocal, or inverse, of both sides:

\frac{x}{100} = \frac{7}{192}

x = 40.1%

Thus making the answer: 40.1% of 192 is 77.

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2 years ago
Application of the least squares method results in values of the y-intercept and the slope that minimizes the sum of the squared
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Answer:

c. observed values of the independent variable and the predicted values of the independent variable

Step-by-step explanation:

This helps us, for example, find the values of y in a y = f(x) equation. y is dependent of x. So x is the independent variable and y the dependent. Obviously, this system is used for way more complex equations, in which is hard to find an actual pattern for y, so we use this method to compare the predicted values of y to the observed.

The correct answer is:

c. observed values of the independent variable and the predicted values of the independent variable

5 0
2 years ago
A group of customer service surveys were sent out at random. The scores were 90, 50, 70, 80, 70, 60, 20, 30, 80, 90, and 20. Fin
egoroff_w [7]

Answer:

60

Step-by-step explanation:

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Total of number = 660

Number of numbers = 11

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The gas mileage for a certain vehicle can be approximated by m=−0.05x2+3.5x−49, where x is the speed of the vehicle in mph. Dete
Whitepunk [10]

Answer:

<h2>14mph</h2>

Step-by-step explanation:

Given the gas mileage for a certain vehicle modeled by the equation m=−0.05x²+3.5x−49 where x is the speed of the vehicle in mph. In order to determine the speed(s) at which the car gets 9 mpg, we will substitute the value of m = 9 into the modeled equation and calculate x as shown;

m = −0.05x²+3.5x−49

when m= 9

9 = −0.05x²+3.5x−49

−0.05x²+3.5x−49 = 9

0.05x²-3.5x+49 = -9

Multiplying through by 100

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Dividing through by 5;

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Using the general formula to get x;

a = 1, b = 70, c = -1160

x = -70±√70²-4(1)(-1160)/2

x = -70±√4900+4640)/2

x = -70±(√4900+4640)/2

x = -70±√9540/2

x =  -70±97.7/2

x = -70+97.7/2

x = 27.7/2

x = 13.85mph

x ≈ 14 mph

Hence, the speed(s) at which the car gets 9 mpg to the nearest mph is 14mph

4 0
2 years ago
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