What is the sum on 1/9, 2/3, and 5/18?
a. 12/9
b. 19/18
c. 8/30
d. 4/15

Answers

Answer 1
STEP 1
= 1/9 + 2/3 + 5/18
change each fraction to a common denominator; 18 is the lowest common denominator (LCD)

* to change 1/9 to LCD of 18:
18÷9= 2; multiply 2 by numerator of 1; new fraction equals 2/18


STEP 2
= 2/18 + 12/18 + 5/18
add numerators only

= (2 + 12 + 5)/18

= 19/18


ANSWER: B) 19/18

Hope this helps! :)
Answer 2
Hi there!

Acc'rding to the question :-

=> [tex]\dfrac {1}{9} + \dfrac {2}{3} + \dfrac {5}{18}[/tex]

=> [tex]\dfrac{1(2) + 2(6) + 5(1)}{18}[/tex]

=> [tex]\dfrac{2 + 12 + 5}{18}[/tex]

=> [tex]\dfrac{19}{18}[/tex]

Hence,
Th' Correct option is B. [tex]\dfrac{19}{18}[/tex]

~ Hope it helps!

Related Questions

NEED HELP! Thanks!

Two trains leave the same station at the same time, but are headed in opposite directions. One train travels at 70 mph and the other train travels at 80 mph.

How much time passes until the trains are 600 mi apart?



Enter your answer in the box.

Answers

i think the answer would be 7.5 hours or 4 hours,not so sure which one exactly

What are the x and y-intercepts of the line described by the equation?

3x−9y=10.8



Enter your answers, in decimal form, in the boxes.

x-intercept =
y-intercept =

Answers

to find the x int, sub in 0 for y and solve for x
3x - 9y = 10.8
3x - 9(0) = 10.8
3x = 10.8
x = 10.8/3
x = 3.6 or (3.6,0) <== ur x int

to find the y int, sub in 0 for x and solve for y
3x - 9y = 10.8
3(0) - 9y = 10.8
-9y = 10.8
y = -10.8/9
y = - 1.2 or (0,-1.2) <== ur y int

The x-intercept and the y-intercept of the line described by the equation 3x - 9y = 10.8 are 3.6 and -1.2

The x-intercept of a line is the point where y-coordinate is zero while the y-intercept of the line is the point where the x-coordinate is zero

Given the expression 3x - 9y = 10.8

Get the x-intercept. If y = 0

3x - 9(0) = 10.8

3x = 10.8

x = 10.8/3

x = 3.6

Get the y-intercept. If x = 0

3(0) - 9y = 10.8

-9y = 10.8

y = -10.8/9

y = -1.2

Hence the x-intercept and the y-intercept of the line described by the equation 3x - 9y = 10.8 are 3.6 and -1.2

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The equation of line m is 4x+5y=−2. What is the slope of a line that is perpendicular to line m?

Answers

convert to slope / intercept form:-

4x + 5y = -2
5y = - 4x - 2
y = -4/5 x - 2/5

the slope of this line is -4/5  and slope of line perpendicular to it is - 1 / -4/5

= 5/4 answer

The required slope of a line will be 5/4 which is perpendicular to line m.

What are the perpendicular lines?

Perpendicular lines are two lines that cross one other and create a 90-degree angle. Two lines are perpendicular if the product of their slopes is -1.

The equation of line m is given in the question below as:

⇒ 4x + 5y = −2

We have to determine the slope of a line that is perpendicular to line m

First, we need to find the slope of line m

To convert to slope-intercept form

⇒ 4x + 5y = -2

⇒ 5y = - 4x - 2

⇒ y = -4/5 x - 2/5

So the slope of this line is -4/5  and the slope of a line perpendicular to it is

⇒ - 1 / (-4/5)

Reciprocal the terms in the numerator,

⇒ 5/4

Therefore, the required slope of a line will be 5/4 which is perpendicular to line m.

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Which phrase describes an unknown or changeable quantity?

Answers

The following choices given in the question that describes an unknown or changeable quantity

I would think the answer is "a variable".

what is the advantage of multiplying both sides of the equation by the least common multiple of the denominators in the first step?

Answers

Well thats a rule, but what do you mean? When adding or multiplying fractions we need to have the same common denominator. 

is 2x-5y=10 a function ------is it linear or nonlinear?

Answers

The answer is Linear I believe

It is linear when 2x- 5y = 10.  A linear equation is an equation of a straight line, which means that the degree of a linear equation must be 0 Or 1.

How can we tell whether a function is linear or not?

Looking at a function’s graph will reveal if it is linear or not with the greatest ease. When a linear function is plotted on a graph, a straight line is formed.

A nonlinear function Is curved in some way; it does not form a straight line.

How is a function defined as linear?

The graph of a linear function is a straight line. One independent variable and one dependent variable make up a linear function.

X and Y are the independent and dependent variables, respectively. The constant term, or a, is the y-intercept.

Is a function 2x-5y=10 real? Is it nonlinear or linear?

Given that a linear equation is an equation of a straight line, its degree must be either 0 or 1.

For every one of its elements. In this instance, both the degree of the variables Y and X is 1.

Resolve the Y equation.

2x-5y=10

Y=-2+2x/5

Hence Given that a linear equation is an equation of a straight line, its degree must be either 0 or 1. For every one of its elements. The degree of the variable Y in this instance is 1, while the degree of the variable X is linear at 1.

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A cotton candy vendor has 11 cones of blue cotton candy to sell. if the blue cotton candy is 25% of the total number of cones, how many total cotton candy cones does he have

Answers

44. 25% = 1/4 11 times 4= 44
25% means 1/4 the total number of cones. To find the total number, you'd have to multiply the number of blue cotton candy cones by four. 
11*4=44
The total number of cotton candy cones is 44.
Vote me Brainliest if I helped!

What is solution to the system of equations? Y=5×+2 3×=-y+10

Answers

y = 5x + 2
3x = y + 10

3x = y + 10
3x = 5x + 2 + 10
3x = 5x + 12
3x - 5x = 12
-2x = 12
x = -6

substitute x = -6 into y = 5x + 2

y = 5(-6) + 2
y = -30 + 2
y = -28

x = -6, y = -28

hope this helped, God bless!

tom can wash 44 plates in 3 minutes. how many seconds will it take him to wash 12 wash? show your work.

Answers

49.090 seconds. Cross multiply 44/180 x 12/x.    X= 49.090

Which expression is equivalent to 3x(1.05)?

A: 3x + 3x + 3x
B: 1.05x + 1.05x + 1.05x
C: x + 3.15
D: 1.05x + 3

Answers

3x(1.05) 

answer
B: 1.05x + 1.05x + 1.05x

∠E and ∠F are vertical angles with m∠E=5x+10 and m∠F=7x−12 . What is the value of x? Enter your answer in the box.

Answers

5x+10=7x-12.... 24=12x.......2=x


Vertical angles are congruent, so E=F

5x+10=7x-12
10=2x-12
22=2x
11=x

How many ways can i distribute 3 slices of pizza to 3 people of fairness doesn't matter?

Answers

You could cut the slice up into 3 more pieces or however many slices of that slice of pizza and distribute it among 3 people unfairly.

Raise to the power:

(–0.2xy)4

Answers

since there are parenthesis, you have to distribute the exponent to the whole thing. That ends up as -0.2^4 x^4 y^4. -0.2^4 can be simplified, it’s -0.0016. End answer is
-0.0016 x^4 y^4. The ^ symbols just mean that it’s to the power of four. x^4 = x to the power of four.

Economists study the way society uses its resources. One important resource studied is agriculture. The recent increase in demand for organic produce has created some interesting economic scenarios for both farmers and consumers. Click the link to learn key facts about the economics of organic produce and answer a few questions. Which is a reason that organic farming is more expensive than conventional farming? How many years must a farm be run organically before its produce can be labeled as “organic”? Why do most small organic farms pay a higher percentage of their profit for farming equipment than conventional farms?

Answers

Answer:

Which is a reason that organic farming is more expensive than conventional farming?

Organic farmers must pay for a costly certification process

How many years must a farm be run organically before its produce can be labeled as “organic”?

3

What is a benefit of crop rotation?

Rotating crops can help build healthy soil.

Step-by-step explanation:

Just took the test!

Answer:

Economists study the way society uses its resources. One important resource studied is agriculture. The recent increase in demand for organic produce has created some interesting economic scenarios for both farmers and consumers. Click the article to learn key facts about the economics of organic produce and answer a few questions.

Which is a reason that organic farming is more expensive than conventional farming?

✔ Organic farmers must pay for a costly certification process.

How many years must a farm be run organically before its produce can be labeled as “organic”?

✔ 3

What is a benefit of crop rotation?

✔ Rotating crops can help build healthy soil.

Step-by-step explanation:

just got it on edge

Does the graph represent the function?

Answers

A vertical line that is allowed to move from left to right across the graph can only touch the graph at one point at a time. The graph passes the vertical line test, so it is a function.
YES, since it passes the vertical test

Students in a science class are divided into 6 equal groups with at least 4 students in each group for a project. write and solve an inequality that represents the number of students in the class

Answers

There are a total of 6 groups.

And each group contains at least 4 students.

So the minimum number of students is:

minimum = 6 * 4 = 24 students

 

Let us say that x represents the number of students, hence:

x ≥ 24

Final answer:

To represent the number of students in the class, we can write the inequality 24 ≤ x.

Explanation:

To represent the number of students in the class, let's assume that the total number of students in the class is represented by the variable 'x'. Since the students are divided into 6 equal groups and each group has at least 4 students, we can write the inequality:
6 * 4 ≤ x

Simplifying the inequality:
24 ≤ x

This inequality represents that the total number of students in the class should be greater than or equal to 24.

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An employee works 21 days per month if they worked an average of 7.5 hours per day how many hours do they work per month

Answers

7.5 times 21 = 157.5 hours. 

You can verify that by dividing 157.5 by 21 to see how many hours she worked in a day. 

157.5 divided by 21 is 7.1 hours

My answer is correct!

How many 1-cm squares would it take to construct a square that is 3 m on each side?

Answers

1200 squares because, 3 m =  300 cm and a square has 4 sides so you times 3 and 4 and you get 12 so 12 m = 1200 cm

Given that the rectangle above has a perimeter of 34 units, find . round the answer to the nearest hundredth.

Answers

what are you supposed to find? 

The inequality x < 9 or x ≥ 14 can be used to represent the hourly wage, x, of each employee at a store. Which are possible values for x? Check all that apply. $8 $9 $11 $13 $14 $15

Answers

x < 9...this is saying the hourly wage is less then 9 (not including 9)
x > = 14...this is saying the hourly wage is 14 and above

so possible values are : 8,14,15 <==

we have

[tex]x<9[/tex] ------> inequality A

The solution of the inequality A is the interval--------> (-∞,9)

All real numbers less than [tex]9[/tex]

[tex]x\geq14[/tex] -----> inequality B

The solution of the inequality B is the interval--------> [14,∞)

All real numbers greater than or equal to [tex]14[/tex]

The solution Inequality A or Inequality B is equal to

Solution A+Solution B

(-∞,9)U[14,∞)    

The solution of the compound system of inequalities must satisfy inequality A or inequality B

we're going to verify every case

case A) [tex]\$8[/tex]

Substitute the value of x in the inequality A and in the inequality B to verify

Verify inequality A

[tex]8<9[/tex] -------> is true

Therefore

[tex]\$8[/tex] is a possible value for x

You don't need to check for inequality B

case B) [tex]\$9[/tex]

Substitute the value of x in the inequality A and in the inequality B to verify

Verify inequality A

[tex]9<9[/tex] -------> is not true

Verify inequality B

[tex]9\geq14[/tex] ------> is not true

Therefore

[tex]\$9[/tex] is not a possible value for x

case C) [tex]\$11[/tex]

Substitute the value of x in the inequality A and in the inequality B to verify

Verify inequality A

[tex]11<9[/tex] -------> is not true

Verify inequality B

[tex]11\geq14[/tex] ------> is not true

Therefore

[tex]\$11[/tex] is not a possible value for x

case D) [tex]\$13[/tex]

Substitute the value of x in the inequality A and in the inequality B to verify

Verify inequality A

[tex]13<9[/tex] -------> is not true

Verify inequality B

[tex]13\geq14[/tex] ------> is not true

Therefore

[tex]\$13[/tex] is not a possible value for x

case E) [tex]\$14[/tex]

Substitute the value of x in the inequality A and in the inequality B to verify

Verify inequality A

[tex]14<9[/tex] -------> is not true

Verify inequality B

[tex]14\geq14[/tex] ------> is true

Therefore

[tex]\$14[/tex] is a possible value for x

case F) [tex]\$15[/tex]

Substitute the value of x in the inequality A and in the inequality B to verify

Verify inequality A

[tex]15<9[/tex] -------> is not true

Verify inequality B

[tex]15\geq14[/tex] ------> is true

Therefore

[tex]\$15[/tex] is a possible value for x

therefore

the answer is

[tex]\$8[/tex]

[tex]\$14[/tex]

[tex]\$15[/tex]


Write each mixed number as an improper fraction. 1 7/8 1 7/12 2 1/2 NEED BRAINLIEST!!!

Answers

15/8 19/12 5/2 is the answer for this problem 

Find the axis of symmetry for this parabola : y= 2(x-7)(x+9)

Answers

y = 2(x-7)(x+9)
y = 2x - 14x (x +9)
y = 2x^2 +18x -14x^2 + 126x
y = -12x^2 +144x
axis of symmetry = -b / 2a
= -144 / 2*-12
= 6
axis of symmetry x = 6





The length of a rectangle is twice the width. the perimeter is 32 cm more than the width. find the dimensions of the rectangle.

Answers

Width: x
Length: 2x
Perimeter=2x+2x+x+x=6x
32 cm more than width means x+32
6x=x+32
5x=32
x=6.4
Dimension is 6.4×12.8 (width×length)

The dimensions of the rectangle are 6.4 and 12.8 respectively.

What is the perimeter of the rectangle?

The formula for calculating the perimeter of a rectangle is given by :

P = 2 ( L + w )

The length of a rectangle is twice the width. And the perimeter is 32 cm more than the width.

L = 2w

Now substituting into the formula , we have

Width: x

Length: 2x

Perimeter P = 2 ( L + w ) = 2(3x) = 6x

Since 32 cm more than width means x+32

6x = x + 32

5x = 32

x = 6.4

Hence, Dimension is 6.4 × 12.8.

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Jason has 75 feet of wallpaper border. He wants to put up a wallpaper border around his rectangular bedroom that measures 12 feet by 14 feet. He multiplies 12 x 14 = 168 to get an exact answer of how much border he needs. He concludes that he does not have enough border for the whole job.

1. Tell how you can critique Jason’s reasoning.

2. Critique Jason’s reasoning

3. Jason uses an overestimate to decide how many rolls of wallpaper he needs for another’s room. Explain why his reasoning to use an overestimate does or does not make sense

Answers

Let's summarize the facts:

the tape is 75 feet long

the bedroom is 12 feet by 14 feet. 

1. Tell how you can critique Jason’s reasoning.

If you want to Critique Jason's reasoning, you could a) ask yourself the same questions that Jason did and see if you would come with the same answers and used the same analysis or b) analyse Jason's answer to see if he did a mistake or missed an important detail and made a thought mistake


2. Critique Jason’s reasoning

 I will use the option b from above:  

Jason first multiplied 12 x 14 = 168. This multiplication is correct, but what did he get? He needed to get the perimeter of the bedroom  because it was only the wallpaper border, not the wallpaper itself - so getting the perimeter was needed, but this we get by the formula ( 2* *(length+width), not length* width - as Jason did.
So Jason made a mistake here! his actual answer should be 2*(12+14)=2*26=52, so the tape of 75 feet would have been enough!

3. Jason uses an overestimate to decide how many rolls of wallpaper he needs for another’s room. Explain why his reasoning to use an overestimate does or does not make sense

Using an overestimate is often a good idea- in case some of the tape gets damaged, he will have some left. However, since his calculations are wrong by a lot (he multiplies rather than adds and multiplies by 2), his overestimate will be a lot higher than would be practical - he would be left with a lot of leftovers and spend too much money. So his reasoning does not make sense

If each password must contain at least one upper-case letter, one lower case letter and one number, how many passwords are there? unanswered

Answers

There are 26 letters in the alphabet and 10 numbers (0-9)
So it will be 26x26x10=6,760

What does .9999 rounded to the thousandths?

Answers

.9999 rounded to the nearest thousandths is 1

hope this helps
.9999 rounded to its thousandths is 1

the sum of three integers is 92. the second number is three times the first number. the third number is ten less than twice the first number. find the integers

Answers

1st number = x

 2nd number = 3x

3rd number = 2x-10

x +3x + 2x-10 =92

6x - 10 = 92

6x =102

x = 102/6

x = 17

1st number = 17

2nd number = 17*3 = 51

 3rd number = 17 *2 = 34-10 = 24

17 + 51 + 24 = 92

 3 numbers are 17, 51 and 24

How do i graph y= 2x

Answers

Choose values for x, multiply them by 2, then graph these points.

The coordinate of the midpoint of segment AB is (-3, 2). Find the coordinate of A if the coordinate of B is (0, 2).

A =

(-6,2)
(-3/2,2)
(3,2)

Answers

The answer is (-6,2). I hope this helped you!

A science museum charges an admission fee of $10 per adult and $6 per child. If the museum had 2,000 visitors on a particular day and the total collection was $18,800, how many adults and children visited the museum?

Answers

a = adult
c = child

10a + 6c = 18,800
a + c = 2,000

In the second equation, subtract c from both sides.

a = 2000 - c

Put this into the first equation.

10(2000 - c) + 6c = 18800

Multiply everything in the parenthesis by 10.

20,000 - 10c + 6c = 18,800

Combine like terms.

20,000 - 4c = 18,800

Subtract 20,000 from both sides.

-4c = -1,200

Divide -4 on both sides.

c = 300

Put this into the second equation.

a + 300  = 2,000

Subtract 300 from both sides.

a = 1,700

Hope this helps!
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