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3 years ago

What is eight over nine divided by two over three equal to?

Mathematics

1 answer:

Rom4ik [11]3 years ago

3 0

Answer:

4/3

Step-by-step explanation:

Let the fractions be A and B.

Given the following data;

Fraction A = 8/9

Fraction B = 2/3

$\frac {Fraction A}{Fraction B} = \frac {\frac {8}{9}} {\frac {2}{3}}$

$\frac {Fraction A}{Fraction B} = \frac {8}{9} * \frac {3}{2}$

$\frac {Fraction A}{Fraction B} = \frac {24}{18}$

Dividing by 6, we have;

$\frac {Fraction A}{Fraction B} = 4/3$

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The data set represents a month-to-month progression of gasoline prices over the course of several months in an unspecified city

Tresset [83]

The quadratic regression equation for this data set is $\rm y=-0.143x^2+0.59x+2.82\\$ .

<h3>What is the general form of a quadratic equation?</h3>

The general form of the quadratic equation is given by;

$\rm ax^2+bx+c=0$

Where; a, b, and c are the constants.

x; 0 1 2 3 4 5

y; 2.82 3. 29 3. 46 3. 33 2. 88 2. 24

From the table when the value of x = 0 the value of y is 2.82.

Then,

$\rm y=ax^2+bx+c\\\\x=0\\\\2.82=a0^2+b(0)+c\\\\c=2.82$

From the table when the value of x = 3 the value of y is 3.33.

$\rm y=ax^2+bx+c\\\\x=3\\\\2.82=a(3)^2+b(3)+c\\\\9a+3b+2.82=2.82\\\\9a=-3b\\\\b=-3a\\\\$

From the table when the value of x = 5 the value of y is 2.24.

$\rm y=ax^2+bx+c\\\\x=3\\\\2.24=a(5)^2+(-3a)(5)+c\\\\25a-15a+2.82=2.24\\\\40a=2.24-2.82\\\\10a=-0.68\\\\a= \dfrac{-0.68}{10}\\\\a=-0.143$

And the value of b is;

$\rm b=3a\\\\b=3(-0.14)\\\\b=0.59$

Therefore,

The quadratic regression equation for this data set is;

$\rm y=ax^2+bx+c\\\\y=-0.143x^2+0.59x+2.82\\\\$

Hence, the quadratic regression equation for this data set is $\rm y=-0.143x^2+0.59x+2.82\\$ .

To know more about the Quadratic equation click the link given below.

brainly.com/question/14935613

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3 years ago

A model of a car is made to a scale of 1:40.

Y_Kistochka [10]

Answer:

2025 m squared

Step-by-step explanation:

1:45

to get from 1 to 45, you times by 45.

to find the volume, times 45 by 45 for the second ratio

=2025 m squared

4 0

3 years ago

The length of a rectangle is 3 meters more than the width. The perimeter of the rectangle is 26 meters.

Maksim231197 [3]

l=b+3

perimeter=26

2(l+b)=26

l+b=13

b+3+b=13

2b=10

b=5m

l=b+3

= 5+3

=8m

8 0

3 years ago

The tables show some input and output values:

blsea [12.9K]

The answer is 2.Only B because, functions can't have input values of the same number. Table B has <span>7, 3 & 7,2 which both have 7 as their input value. </span>

5 0

4 years ago

Read 2 more answers

Magan bought an electric bill at 85% of the regular price she paid $32.89 for the drill what was the regular price

Natasha2012 [34]

Answer:

$38.69

Step-by-step explanation:

To find the regular price, create a proportion.

$\frac{32.89}{x}=\frac{85}{100}$

To solve for the regular price x, cross multiply the numerator and denominator of each fraction.

32.89*(100) = x(85)

3289=85x

38.69 = x

4 0

3 years ago