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]


Related Questions

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
mold is 2.4 inches. She fills the mold completely with candle wax so that it is level with the top of the conical mold.
Using 3.14 for , approximately how much candle wax can the conical mold hold?
A. 41.45 cubic inches
B. 124.34 cubic inches
C. 99.48 cubic inches
D. 43.41 cubic inches

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

V = 1/3(3.14) · 2.4^2 · 16.5

Simplify and solve,

V = 1/3(3.14) · 5.76 · 16.5

V = 1.05 · 5.76 · 16.5

V = 6.05 · 16.5

V = 99.825, your answer is C; 99.48 cubic inches.

An equation is shown below:

5x + 3(x − 5) = 6x + 2x − 15

Part A: Solve the equation and write the number of solutions. Show all the steps. (6 points)

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

Your answer:

Answers

Answer:

infinity

Step-by-step explanation:

the distributive property is used when 3 is multiplied to x and 5 so it becomes 3x-15 and you combine like terms after that.

1
Select the correct answer.
Which graph shows a quadratic equation with complex roots?

Answers

Answer:

C (the bottom one)

Step-by-step explanation:

B (the top one) has roots/solutions — as in, it crosses the x-axis.

C doesn't have roots, and therefore doesn't have normal solutions, instead it has "complex" roots which require the use of imaginary numbers:  [tex]i[/tex]

What is 3^8*3^3/3^2 simplified as a exponent?

Answers

Answer:

19683

Step-by-step explanation:

5 stars please

The following is a list of wait times, in minutes, at the DMV. is the mean, median, or mode likely to be the best measure of the center for the data set? 31, 32, 31, 34, 30, 30, 31, 31, 30, 31

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.

Hence, median is the  best measure of the center for the data set.

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PLEASEEE HELP 100 POINTSSS AND BRAINLIEST!!!! THANKSSSSS <33

Answers

Answer:

The answer would be a

Step-by-step explanation:

An acute angle is an angle with two similar sides an obtuse angel is an very wide trianglee

Step-by-step explanation:

please mark me as brainlest

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:

negative correlation

Step-by-step explanation:

his fuel keeps decreasing every time he uses his motorcycle

PLEASE HELP ILL GIVE U BRAINLY IF U GET IT RIGHT AND EXPLAIN WHY TOO !!

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:

Bibi

Step-by-step explanation:

1 ounce=.125cup(1/8)

Camille:

6*4=28(28 fluid ounces or3.5cups)

Bibi: 5*1 cups=5 cups.

Help help help help help hep math

Answers

I think the answer is yes

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

The Correct choice is Yes

The shown graph is of a linear function that is in the form of straight line, having fixed slope (rate).

what is the volume of the prism below?

Answers

Step-by-step explanation:

1×2×7/4

= 14/4 = 3.5

choice 2

I WILL GIVE YOU 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Answers

Step-by-step explanation:

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

Therefore

29⁰+68⁰+x⁰=180⁰

97⁰+x⁰=180⁰

x⁰=180-97=83⁰

Hence x=83⁰

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

I hope it helped you

the figure is cut into 12 equal pieces. shade 2/3 of the figure

Answers

Answer:

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

Answer

so basically you're asking shade 2/3 out of 12 equal pieces

so lets do 12 divided by 3 witch is four

so there would be 3 parts that have 4 pieces, and 4 times two is eight, so shade in 8 pieces :0 :)

What is the length of SQ?

Answers

Check the picture below.



Stan’s Car Rental charges $35 per day plus $0.25 per mile. Denise wants to rent one of Stan’s cars, keeping the total cost of the rental to no more than $55.
What is the greatest number of miles Denise can drive the car to stay within her budget?

Answers

80 miles

35+.25x is less than or equal to 55
55-35= 20
20/.25 =x
x= 80

What is the area of this quadrilateral?
2 ft
3 ft
8 ft 8 ft
3 ft
2 ft

Answers

Check the picture below.

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.

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

It will cost $107.74 for John to rent a car.

What is addition?

Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation.

Given:

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.

The total cost,

= 27.99 + 40 + 27.99 x 1.42

= $107.74

Therefore, the cost is $107.74.

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In how many ways can the word "calculus" be arrange so that two L's do not come together?​

Answers

Count the total number of permutations of the word "calculus": there are 8 letters, hence 8! = 40,320 total permutations.

Count the number of permutations in which the two L's occur next to each other. Effectively we're now talking about words consisting of 7 letters, of which there are 7! = 5,040.

It follows that there are

8! - 7! = 35,280

words in which two L's do not appear next to each other.

A teacher assigns 10 questions for homework and wants to randomly pick 3 questions to be graded. Which of the
following procedures would produce a simple random sample?
O Assign the homework questions the numbers 1-10. Use a random number table to select the first three number
between 1 and 10. These represent the questions that will be graded,
• Assign the homework queations the numbers 0 to 9. Use a random number table to select the 1o first three numbe
between 0 and 9. These represent the questions that will be graded.,
Assign the homework questions the numbers 01-10. Use a random number table to select the first three 2-digit 1O
numbers between 01 and 10. These represent the questions that will be graded,
Assign the homework questions the numbers 0-9. Use a random number table to select the first three 1o unique
numbers between 0 and 9. These represent the questions that will be graded.

Answers

Answer:

Assign the homework questions the numbers 0–9. Use a random number table to select the first three unique numbers between 0 and 9. These represent the questions that will be graded.

Step-by-step explanation:

D.

A box is 36 inches long 18 inches wide and 6 inches deep. How many cubic feet are in the box?

Answers

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

What is the Volume of a Box?

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

Given the following:

Length = 36 inchesWidth = 18 inchesHeight = 6 inches

Volume = (36)(18)(6)

Volume = 3,888 cubic inches.

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

3,888/1728 = 2.25 cubic feet.

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Answer:

Step-by-step explanation:

2.25

Х
Solve for x.
-30 = 5(x + 1)

Answers

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

_____________________

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]

Pls help with math pls will give brainlest due soon

Answers

function that’s the answer

60 units needed 14 units per case

Answers

what you mean bro??

write an equation in factored form that has (-7,0) & (-10,0) as its zeroes and passed through the point (-5,20)

Answers

Equation

Step-by-step explanation:

so its step by step

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

Whats the diameter of the sphere

Answers

Answer:

Here is answer my monkey brotheren

Step-by-step explanation:


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]

[tex]x=\frac{12+-\sqrt{40} }{4}[/tex]

[tex]x=\frac{12+-2\sqrt{10}}{4}[/tex]

[tex]x=\frac{6+-\sqrt{10}}{2}[/tex]

I hope this helps!

I’ll give brainliest

Answers

The answer is H, or x = 0.6.

What one is it? Pls help

Answers

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 .

your answer is going to be a

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