how do you solve (5)/(18)-(x-2)/(9)<=(x-4)/(6)

Answers

Answer 1

Answer:

x ≥ [tex]\frac{21}{5}[/tex]

Step-by-step explanation:

Given

[tex]\frac{5}{18}[/tex] - [tex]\frac{x-2}{9}[/tex] ≤ [tex]\frac{x-4}{6}[/tex]

Multiply through by 18 ( the LCM of 18, 9 and 6 ) to clear the fractions

5 - 2(x - 2) ≤ 3(x - 4) ← distribute parenthesis and simplify

5 - 2x + 4 ≤ 3x - 12

9 - 2x ≤ 3x - 12 ( add 2x to both sides )

9 ≤ 5x - 12 ( add 12 to both sides )

21 ≤ 5x ( divide both sides by 5 )

[tex]\frac{21}{5}[/tex] ≤ x , that is

x ≥ [tex]\frac{21}{5}[/tex]


Related Questions

Can you pleasee explain how to find a y- intersept??

Answers

a y-intercept is any point that has an x-value of 0. for example, the ordered pairs (0,6) and (0,-4) would both be considered y-intercepts since any point with an x-value of 0 overlaps with the y-axis.

Answer: to find a y intercept  you have to use the slope intercept form  y = mx+b  the m is the slope and the b is the y intercept the intercept depends on the value where y crosses the y axis.

*10 points* ANSWER ASAP WILL MARK AS BRAINLIEST!!

Do you have to regroup to find each sum?
Choose Yes or No.
38 + 12
29 + 15
28 + 7
27 + 12

Answers

Answer:

1) yes

2)yes

3) yes

4) no

Step-by-step explanation:

what is the image of (-4,-2) after reflection over the x-axis

Answers

Step-by-step explanation:

shzhqhwjsid9w01030f8fuw1hdhi

Answer:

(4, 2)

Step-by-step explanation:

Assuming the image is below the x axis because of the negatives, the reflection will move it only over the axis, giving you 4,2.

(-6) – (2 x 4) – (-1)

Answers

Answer:

[tex] (- 13)[/tex]

Step-by-step explanation:

[tex]( - 6) - (2 \times 4) - ( - 1) \\ - 6 - 8 + 1 \\ - 14 + 1 \\ = - 13[/tex]

hope this helps

brainliest appreciated

have a nice day!!

~Hi 1315~

A child 4 1/2 feet tall casts a 6-foot shadow. A nearby statue casts a 12-foot shadow.​

Answers

Answer: The statue is 9 feet tall.

Step-by-step explanation: Just double all of your values because 12 is 6x2.

3x+47y=1094

Solve for y.

Answers

Answer:

[tex]y = \frac{1094-3x}{47}[/tex]

General Formulas and Concepts:

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define equation

3x + 47y = 1094

Step 2: Solve for y

Subtract 3x on both sides:          47y = 1094 - 3xDivide both sides by 47:              y = (1094 - 3x)/47

The average speed of a car that travels 130 miles in 2 hours.

Answers

Answer:

65mph

Step-by-step explanation:

Answer:

speed = distance/time

speed = 130/2

speed = 65 mph

Step-by-step explanation:

Which correctly explains how to estimate 55 percent of 64?
Round 55 percent to 40 percent and 64 to 60. Think of 40 percent as . So, of 60 is 15.
Round 55 percent to 60 percent and 64 to 70. Think of 60 percent as . So, of 70 is 23.3.
Round 55 percent to 50 percent and 64 to 70. Think of 50 percent as . So, of 60 is 12.
Round 55 percent to 50 percent and 64 to 60. Think of 50 percent as . So, of 60 is 30.

Answers

Answer: D
Step-by-step explanation:
Round 55 percent to 50 percent and 64 to 60. Think of 50 percent as 1/2. So 1/2 of 60 is 30

Answer:D

Step-by-step explanation:

I need help please!!

Answers

Answer:

y=1/2x +2

Step-by-step explanation:

1/2 is the slope, 2 is the y intercept.

the shopkeeper buys 100 oranges for $ 25, 50 kg of apples for $ 80 and 20 melons for $ 15. he sells all of these oranges, apples and melons at the prices shown in the table. calculate his percentage profit

Answers

Answer:

Table?

Step-by-step explanation:

For a given input value
m
mm, the function
g
gg outputs a value
n
nn to satisfy the following equation.

2
m

5
n
=
7
m

3
n
−2m−5n=7m−3nminus, 2, m, minus, 5, n, equals, 7, m, minus, 3, n
Write a formula for
g
(
m
)
g(m)g, left parenthesis, m, right parenthesis in terms of
m
I will give brainiest answer to whoever answer first

Answers

Answer:

g(m) = - 4.5m

Step-by-step explanation:

The function g(m) gives output n to satisfy equation:

-2m - 5n = 7m - 3n

Solving this equation for n:

-2m - 5n = 7m - 3n-2m - 7m = -3n + 5n-9m = 2n2n = -9mn = -9/2mn = - 4.5m

So the function is:

g(m) = - 4.5m

Answer:

It's not 4.5m guys

It's -9/2

Step-by-step explanation:

Daisy purchases a gym membership. She pays a signup fee and a monthly fee of $13. After 4 months, she
has paid a total of $79. Use a linear equation in point-slope form to find the signup fee. Solve the problem
using an equation in point-slope form.
The signup fee is__
PLS HELP

Answers

Answer:

$6.75

Step-by-step explanation:

First, we need to figure out how much she pays in a month: 79 divided by 4 = 19.75

But, this includes the sign up fee because the problem states, " After 4 months, she  has paid a total of $79. "

Now, we need to subtract the first fee (13) " She pays a signup fee and a monthly fee of $13. "

19.75 - 13.00 = 6.75

Hope this helped have a great day/night! :'')

10.9 as a fraction or mixed number

Answers

The answer is 10 9/10 hope this helped
10.9 as a fraction 109/10 !!

Reflections do not represent isometries.
O True
O False

Answers

Answer:

False

Step-by-step explanation:

I took the test

(06) A paper is in the form of a
square of side 20m. Semicircles are
drawn inside the square paper
on two sides as diameter. The
semicircle portions are cut off.
Find the area of remaining
paper. (use π = 3.14).

Answers

Answer:

86 sq.m

Step-by-step explanation:

At the local pet store, zebra fish cost $2.00 each and neon tetras cost $1.90 each. If Ernesto bought 11 fish for a total cost of $21.50, not including tax, how many of each type of fish did he buy?

Answers

Answer:Break it into 2 shapes.

A rectangle: 8 x 7 = 56 square inches.

A triangle: 1/2 x 3 x 4 = 6 square inches.

Total: 56 + 6 = 62 square inches.

Step-by-step explanation:

Determine whether the dilation from figure A to Figure B is a reduction or enlargement ​

Answers

Answer:

Step-by-step explanation:

The dilation from A to B is a reduction

[tex]b_{1}[/tex] = [tex]\frac{a_{1} }{3}[/tex]

[tex]b_{2}[/tex] = [tex]\frac{a_{2} }{3}[/tex]

4y - 9 - 6y = 2(y + 5) - 3 solve for y

Answers

Answer:

[tex] \huge{ \boxed{ \bold{ \tt{y = - 4}}}}[/tex]

Step-by-step explanation:

[tex] \sf{4y - 9 - 6y = 2(y + 5) - 3}[/tex]

Subtract like terms : 6y from 4y

[tex] \longrightarrow{ \sf{ - 2y - 9 = 2(y + 5) - 3}}[/tex]

Distribute 2 through the parentheses

[tex] \longrightarrow{ \sf{ - 2y - 9 = 2 *y + 2 *5 \: - 3}}[/tex]

[tex] \longrightarrow{ \sf{ - 2y - 9 = 2y + 10 - 3}}[/tex]

Subtract 3 from 10

[tex] \longrightarrow{ \sf{ - 2y - 9 = 2y + 7}}[/tex]

Move 2y to left hand side and change it's sign

[tex] \longrightarrow{ \sf{ - 2y - 2y - 9 = 7}}[/tex]

Move 9 to right hand side and change it's sign

[tex] \longrightarrow{ \sf{ - 2y - 2y = 7 + 9}}[/tex]

Combine like terms

[tex] \longrightarrow{ \sf{ - 4y =7 + 9}}[/tex]

Add the numbers : 7 and 9

[tex] \longrightarrow{ \sf{ - 4y = 16}}[/tex]

Divide both sides by -4

[tex] \longrightarrow{ \sf{ \frac{ - 4y}{ - 4} = \frac{16}{ - 4}}} [/tex]

Remember : Dividing a positive integer by any negative integer gives a negative integer.

[tex] \longrightarrow{ \boxed{ \sf{y = - 4}}}[/tex]

------------------------------------------------------------

Let's check whether the value of y is -4 or not.

Verification

L.H.S : [tex] \sf{4y - 9 - 6y}[/tex]

plug the value of y and simplify

[tex] \dashrightarrow{ \sf{4 * (- 4 )- 9 - 6 * (- 4)}}[/tex]

[tex] \dashrightarrow{ \sf{ - 16 - 9 - ( - 24)}}[/tex]

[tex] \dashrightarrow{ \sf{ - 16 - 9 + 24}}[/tex]

[tex] \dashrightarrow{ \sf{ - 16 + 15}}[/tex]

[tex] \dashrightarrow{ \sf{ - 1}}[/tex]

R.H.S :[tex] \sf{2(y + 5) - 3}[/tex]

plug the value of y and simplify

[tex] \dashrightarrow{ \sf{2( - 4 + 5) - 3}}[/tex]

[tex] \dashrightarrow{ \sf{2 *1 - 3}}[/tex]

[tex] \dashrightarrow{ \sf{2 - 3 }}[/tex]

[tex] \dashrightarrow{ \sf{ - 1}}[/tex]

∴ L.H.S = R.H.S

The value of y is -4

And we're done!

------------------------------------------------------------

Rules for solving an equationIf any equation contains fractions , multiply each term by the LCM of denominators.Remove the brackets , if any.Collect the terms with the variable to left hand side and constant terms to the right side by changing their signs ' + ' into ' - ' and ' - ' into ' + '.Simplify and get the single term on each side.Divide each side by the coefficient of variable and then get the value of variable.

Hope I helped!

Best regards! :D

~TheAnimeGirl

P(x) = 3x³+ 2x²-x what is the value of P(2)​

Answers

Answer:

polynomial is -1

so answer is-1

' the length of one side of an equilateral is 3x+2. its perimeter is 60 centimeters. write an equation that could be used to find the value of x. solve for x and then find the length of the side. ''
I need to find the equation and the side length :')
also please answer this quickly hhhhhhhhhhhhh

Answers

Answer:

Step-by-step explanation:

Triangle equilateral has 3 sides

3(3x+2) = 60

9x+6 =60

9x= 54

x=9

3x9 +2 = 20  One side = 20

20x3=60   3 sides = 60

Answer:

60

Step-by-step explanation: this is simple because it is lou

Lindsey's cookie recipe uses 1 1/2 cups of brown sugar to make 2 dozen cookies. Lexi wants to make only 1 dozen cookies. How much brown sugar should Lexi use?

Answers

Answer:

(3/4) cups

Step-by-step explanation:

It is given that,

Lindsey's cookie recipe uses 1 1/2 cups of brown sugar to make 2 dozen cookies.

We need to find how much brown sugar should Lexi use to make only 1 dozen cookies.

2 dozen cookies = 1 1/2 cups

= 3/2 cups

For 1 dozen cookies,

[tex]\dfrac{\dfrac{3}{2}}{2}\\\\=\dfrac{3}{4}\ \text{cups}[/tex]

So, to make 1 dozen cookies, she will need (3/4) cups of brown sugar

can you graph y=4/5x-7 on a graph

Answers

There is a website called Desmos that can help you a lot

Given: m ∥ n, x ∥ y, and y ⊥ m. Use the diagram to find the angle measure.

Answers

Answer:

180

Step-by-step explanation:

m<2 + m<3 = 90

m<5 + m<6 = 90

m<2 + m<3 + m<5 + m<6 = 90 + 90 = 180

Answer: 180

Please Fill in the blanks.

Answers

Answer:

It's blurry..

Step-by-step explanation:

Do you mind either taking a clearer picture or typing it out in the comment section?

Answer:

I can't read it.

Step-by-step explanation:

You are purchasing a book that cost $22.00. The sales tax is 8%. What is the total amount of your purchase?
A. $0.18
B. $1.76
C. $23.76
D. $17.60

Answers

Answer:

C

Step-by-step explanation:

22.00*0.08=1.76

22.00+1.76 = 23.76

Answer:

c

Step-by-step explanation:

22*0.08=1.76

the total would be the cost plus tax

22+1.76=23.76

hope this helps :3

Write true or false for each,
The Aztecs lived before the Mayans.
2) The Aztecs lived on rafts in the sea.
3) During the Aztec Empire, the Aztec people were always on the move to find food.
4) The Aztecs were ruled by a powerful emperor.
5) The sun was an important aspect of the Aztec religion.
6) Some Aztec people helped the Spanish colonizers to defeat the Aztec Empire.

Answers

False
True
False
True
True
No sure

how many more gallons of blood does the human heart pump than a human kidney filters during 24 hours

Answers

Answer:

im sorry im too dumb for this and im in middle school

Step-by-step explanation:

i very sowy :(

Someone please help me for a brainliest.

Answers

Answer:

a) 15 minutes

b) Input is temp, output is time.

Step-by-step explanation:

3a) After how many minutes is the temperature 35.

Find 35 on the second row, and see that it takes 15 minutes.

3b) For the inverse function, the input is the temperature, and the output the number of minutes.

Find the value of x!!!!!

Answers

180 is a straight line, so 180 - 122 = 58

Going across the line will give you the same number, being 58. Same thing for 76.

Same thing as before. 76+58= 134

180-134 = 46
X=46

I attached a photo of the answer

Bridgette has $1,000 to invest. She has two different investment options, shown in the table below. Each option would give her a different value over three years.

Number of Years 1 2 3
Option A (amount in dollars) 1100 1200 1300
Option B (amount in dollars) 1100 1210 1331


Part A: What type of function, linear or exponential, would be best to describe the value of the investment over a fixed number of years using Option A? Explain your answer.

Part B: Write a function, a(t), to describe the value of the investment, in dollars, of Option A after t years.

Part C: What type of function, linear or exponential, would be best to describe the value of the investment over a fixed number of years using Option B? Explain your answer.

Part D: Write a function, b(t), to describe the value of the investment, in dollars, of Option B after t years.

Part E: Bridgette wants to invest in whichever option would increase her investment value by the greatest amount in 20 years. Will there be any significant difference in the value of Bridgette's investment after 20 years if she uses Option A over Option B? Explain your answer, and show the investment value after 20 years for each option.

Answers

Answer/Step-by-step explanation:

Part A: The function that would best describe Option A is a linear function. This is because an increase in x would have a corresponding additive increase in y. With each increasing year, the value of Option A increases by $100. This is how we know Option A would be a linear function.

Part B: a(t) = y.

a(t) = a + 100t

Part C: The function that would best describe Option B is an exponential function. Unlike linear functions, an increase in x would have a corresponding multiplicative increase in y. Each value of Option B shares a common ratio of 1.1.

Part D: b(t) = y.

b(t) = b(1.1)^t

Part E: a(20) = a + 100(20)

1100 + 2000 = 3100

b(20) = b(1.1)^20

1100(1.1)^20

= 7400

There is definitely a significant difference between the value of Bridgette’s investment in both options. The difference between the values of each option after 20 years is 4300. Bridgette is better off using Option B if she wants more money at the end.

Hope this helps!

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