What is the value of x in the equation
[tex] - \frac{2}{9} x = \frac{2}{5} [/tex]

Answers

Answer 1

Answer:

x = -1.8

Step-by-step explanation:

Given equation:

[tex]-\dfrac{2}{9} x = \dfrac{2}{5}[/tex]

Part I: Cancel the numerators in the equation (a/d = a/f ⇔ 1/d = 1/f)

[tex]\implies -\dfrac{2}{9} x = \dfrac{2}{5}[/tex]

[tex]\implies -\dfrac{1}{9} x = \dfrac{1}{5}[/tex]

Part II: Use cross multiplication (a/b = c/d ⇔ a × d = b × c) and simplify:

[tex]\implies -\dfrac{1}{9} x = \dfrac{1}{5}[/tex]

[tex]\implies -({x \times 5) = {1 \times 9}[/tex]

[tex]\implies -5x = 9[/tex]

Part III: Divide -5 to both sides of the equation:

[tex]\implies\dfrac{-5x }{-5} = \dfrac{9}{-5}[/tex]

[tex]\implies \boxed{x= \dfrac{9}{-5} = \dfrac{-9}{5} = -1.8}[/tex]

Therefore, the solution is [tex]x = -1.8[/tex].

Answer 2

Answer:

[tex] x = -\dfrac{9}{5} [/tex]

Step-by-step explanation:

[tex] -\dfrac{2}{9}x = \dfrac{2}{5} [/tex]

Multiply both sides by the reciprocal of -2/9 which is -9/2.

[tex] -\dfrac{9}{2} \times (-\dfrac{2}{9})x = -\dfrac{9}{2} \times \dfrac{2}{5} [/tex]

[tex] x = -\dfrac{18}{10} [/tex]

[tex] x = -\dfrac{9}{5} [/tex]


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-30 = 5(x + 1)

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x = [tex]\frac{35}{4}[/tex]

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Answer:

So you shade 8 parts in and the remaining is 4 so that the other 1/3 of 2/3

Answer

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Answer:

It is A

Step-by-step explanation:

The denominator , 'x' cannot be 0    <=====undefined

  but it CAN be any other number

    domain ( the 'x' values' ) can be all numbers except 0

 The range will be all numbers except zero also....there is no way to make the y = 9/x  eqaul to 0 .

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Answers

Step-by-step explanation:

1×2×7/4

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George and his friends rode motorcycles all day on Saturday. He made a table that showed the number of gallons of gas remaining at the end of each hour.

Answers

Answer:

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Step-by-step explanation:

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It is predicted that by 2050, there will be 10^10 people living on Earth. At that time, it is predicted there will be approximately 10^12 trees. How many trees will there be for each person?

Answers

Answer:

100 trees per person

Step-by-step explanation:

10^12 trees / 10^10 persons =  10^(12-10) = 10^2 trees/person

Answer:

Step-by-step explanation:

Givens

There are 10^12 trees

There are 10^10 people

Solution

Number of trees / person = Number of trees / Number of people = 10^12/10^10= 10^(12 - 10) = 10^2 = 100

There will be 100 trees / every person on the planet.

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Step-by-step explanation:

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Camille has 6 water balloons. Each is filled with 4 fluid ounces of water . Bibi has 5 balloons. Each is filled with 1 cup of water . Whose balloons contain the most water?

Answers

Answer:

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Step-by-step explanation:

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HELP PLEASE
Leigh bought a conical candle wax mold. The height of the mold is 16.5 inches and the radius of the inside of the top of the conical
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Answers

Answer:

Formula for volume of cone;

V = 1/3π[tex]r^{2}[/tex]h

Plug in what you know:-

V = 1/3π[tex]r^{2}[/tex]

will be

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Simplify and solve,

V = 1/3(3.14) · 5.76 · 16.5

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A teacher assigns 10 questions for homework and wants to randomly pick 3 questions to be graded. Which of the
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Answers

Answer:

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Step-by-step explanation:

D.

An equation is shown below:

5x + 3(x − 5) = 6x + 2x − 15

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Part B: Name one property you used to solve this equation. (4 points)

Your answer:

Answers

Answer:

infinity

Step-by-step explanation:

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Answers

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Answers

Answer:

C (the bottom one)

Step-by-step explanation:

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Answer:

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Answers

I would say the mean because there are no clear outliers.

For the given data set 31, 32, 31, 34, 30, 30, 31, 31, 30, 31, median is the  best measure of the center.

The given data set is 31, 32, 31, 34, 30, 30, 31, 31, 30, 31.

In this data set, the best measure of the center would likely be the median.

The data set is relatively small and seems to have a repeated value (30), which could potentially skew the mean.

The median, on the other hand, would provide a more representative measure of the central tendency as it is not affected by outliers or repeated values as much as the mean or mode.

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

We know that sum of angles of a triangle are equal to 180⁰

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x⁰=180-97=83⁰

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Also Side Note: x⁰=y⁰=83⁰(reason=vertically opposite angles)

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John is 23 years old and rents a car for 4 days, from Thursday through Sunday. The cost of the car rental is 27.99 with unlimited miles, but the cost of the rental is 42% higher on Saturday and Sunday. The company charges a $40 fee for renters younger than 25 . How much will it cost John to rent the car?

Answers

Answer:

109.99 $

Step-by-step explanation:

add or maybe multiply the numbers that have to do with money: 27.99 + 42 + 40

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Answers

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Whats the diameter of the sphere

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Here is answer my monkey brotheren

Step-by-step explanation:

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Answers

The amount of cubic feet in the box = volume = 2.25 cubic feet.

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Volume of a box is the amount of cubic feet in the box which is calculated as: V = (length)(width)(height).

Given the following:

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Volume = (36)(18)(6)

Volume = 3,888 cubic inches.

Convert to 3,888 cu. in. to cu. ft. [1 cu. ft. = 1728 cu. in.]

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Step-by-step explanation:

2.25

mitch must pack 88 pencils into 9 boxes.Each box must contain an equal number of pencils.How many pencils does he have left over
A] 3
B] 5
C]7
D] 8

Answers

Answer:

c

Step-by-step explanation:

i took the test

answer choices are
14


24

28



48

Answers

Answer: 24 square units

Step-by-step explanation:

It appears the shaded area of the rectangle is half of the rectangle's area. This means if we find the area of the rectangle and divide it by 2 we will know the area of the shaded portion.

The formula for the area of a rectangle is [tex]lw=A[/tex]

Where

l is the length (8 for this)

w is the width (6 for this)

A is the area

However, since we are finding half the area we will divide lw by 2

Sub the values into the formula

[tex]\frac{lw}{2} =A\\\frac{(8)(6)}{2} =A\\\frac{48}{2} =A\\24=A[/tex]


What are the roots of the quadratic equation below?
2x2 - 12x + 13 = 0

Answers

Answer:

D

Step-by-step explanation:

Quadratic formula: [tex]\frac{-b+-\sqrt{b^2-4ac} }{2a}[/tex]

[tex]2x^2- 12x + 13 = 0[/tex]

[tex]x=\frac{-(-12)+-\sqrt{(-12)^2-4(2)(13)} }{2(2)}[/tex]

[tex]x=\frac{12+-\sqrt{144-104} }{4}[/tex]

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