How is the process of finding equivalent ratios like the process of finding equivalent fractions

Answers

Answer 1

Answer: Finding equivalent ratios and finding equivalent fractions are basically the same thing. You need to divide the numerator and denominator

Answer 2

Answer: Procedure: define equilivant branch multiply the numerator and denominator by the same none 0

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The median of the data set is 81 what number is missing in data set 82, 87, 77, 70, 80, 88

Answers

The missing dataset is 81 at the 4th position.

We have the following data set -

82, 87, 77, 70, 80, 88

whose Median is - 81

We have to find out the missing data in this dataset.

What is the formula to find the Median of a set of odd number of elements (say N) ?

If a set consist of odd number of elements, then the median of that set of numbers is the is the element at the position $((N+1)/(2)) ^(th)$ .

Let the missing element be x. Now, the data set becomes -

82, 87, 77, 70, 80, 88, x

To total number of elements in the dataset = 7, which is a odd number.

The element at the $((N+1)/(2)) ^(th)$ position for odd number of elements equals to Median which is equal to 81.

Hence, the missing dataset is 81 at the position - $((7+1)/(2)) ^(th) = (8)/(2)$ = 4th position.

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the number that missing is clearly 81

What is a common denominator for 4/7

Answers

a common denominator is 28 and more
Hope this helps
And for 3/5
a common denominator is 15, 30, 45, 60, and more

A board 12 3/4 feet long is cut so that 9 7/8 feet are left. What length of the board was cut off? A) 2 1/2 feet
B) 2 7/8 feet
C) 3 1/2 feet
D)3 7/8 feet

Answers

If you would like to know what length of the board was cut off, you can calculate this using the following steps:

12 3/4 feet long board - 9 7/8 feet = 12 3/4 - 9 7/8 = 51/4 - 79/8 = 102/8 - 79/8 = (102 - 79) / 8 = 23/8 = 2 7/8 feet

The correct result would be B) 2 7/8 feet.

Is 19cm, 12cm, and 9cm a obtuse?

Answers

I believe not, has to be more than 90° and less than 180°.

Write a quadratic equation whose roots are 1+8i and 1-8i

Answers

If 1+8i and 1-8i are the equation's roots, then the quadratic equation is

x² - 2x + 65 = 0.

What is meant by Quadratic equation?

A quadratic equation is written in standard form as y = ax² + bx + c, where a, b, and c are simple numbers. A quadratic equation's factored form is denoted by the expression y = (ax + c) (bx + d), where a, b, c, and d are simple numbers.

Any quadratic problem can be solved using the quadratic formula. The equation is first changed to have the form ax² + bx + c = 0, where a, b, and c are coefficients. After that, we enter these coefficients into the following formula: (-b ± √(b² - 4ac)) / (2a).

If 1+8i and 1-8i are the equation's roots, then:

x - (1 + 8i) = 0 and x - (1 - 8i) = 0 then we get

x - 1 - 8i = 0 and x - 1 + 8i = 0

⇒ (x - 1 - 8i)(x - 1 + 8i) = 0

⇒ x² - x + 8ix - x + 1 - 8i - 8ix + 8i + 64 = 0

⇒ x² - 2x + 65 = 0

The quadratic equation is x² - 2x + 65 = 0.

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Answer:

$x^2-2x+65=0$