Decide whether is true or false.
2/11 < 5/22

Answers

Answer 1
Convert 2/11 to the same denominator as 5/22

2/11 = 4/22

This statement is true.
Answer 2
Answer: True

=======================================

Explanation:

For now, assume the inequality is true

We can cross multiply to get

2/11 < 5/22

2*22 < 11*5

44 < 55

Since the last inequality is true (44 is smaller than 55), this means the first inequality is also true.

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

We could use a calculator to see that

2/11 = 0.1818 approximately

5/22 = 0.2273 approximately

Since 0.1818 is smaller than 0.2273, this means 2/11 is smaller than 5/22.

In other words, 0.1818 < 0.2273 leads to 2/11 < 5/22

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

An alternative is to multiply 2/11 by 2/2 to get 4/22

So 2/11 < 5/22 would update to 4/22 < 5/22. Both have the same denominator so we just compare the numerators. Because 4 < 5 is true, this makes 4/22 < 5/22 true, and consequently 2/11 < 5/22 true as well.


Related Questions

Which of the following statements must be true?

Answers

Answer:

A

Step-by-step explanation:

Since ΔDEF has only been rotated, we know that ΔDEF ≅ ΔJKL. Using CPCTC, we can see that the answer is DF = JL which is A.

Write this decimal in percent form. .24​

Answers

Answer:

24%

Step-by-step explanation:

To change a decimal to a percent, all you have to do is move the decimal point 2 times to the right.

0.24 = 24%

Answer:

24%

Convert.

.24/0.24 = 24%

24% is your answer. Hope this helps.

Tell whether the equation is true or false. *
3
60 = 20
O True
O False

Answers

the answer to that would be false

Which statements are true about the table of values? Check all that apply.

xy = 3
When x = 3, y = 1.
x varies directly with y.
k =
The graph of this table would not be linear.

Answers

Answer:

A B and E

Step-by-step explanation:

The statement that is true about the equation xy = 3 is:

When x = 3, y = 1.

Option B is the correct answer.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 8 is an equation.

We have,

xy = 3

When x = 3, y = 1

Substitute x = 3.

3 x y = 3

y = 1

This is true.

Now,

x varies directly with y.

This means,

x ∝ y

But xy = 3

x = 3/y

This is not possible.

Now,

The graph of this table would not be linear.

xy = 3

x = 1, y = 3

x = 2, y = 3/2 = 1.5

x = 3. y = 1

x = 4, y = 3/4 = 0.75

The rate of change is not the same.

So,

xy = 3 is not linear.

Thus,

When x = 3, y = 1 statement is true.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ6

A map of the town that Annie, Barbara, and Charlie live in can be represented by the Cartesian plane. Annie is located at $(6,-20)$ and Barbara is located at $(1, 14)$. They agree to meet at the closest point that is equidistant from their current locations and walk upwards together to get to Charlie's location at $\left(\frac{7}{2}, 2\right)$. How many units upward do Annie and Barbara walk together to get to Charlie?

Answers

Answer:

5 units

Step-by-step explanation:

Annie is located at (6,-20) and Barbara is located at (1, 14) and they meet at a point equidistant to their current locations.

This means that they have to meet at the midpoint between their two locations. Let the coordinate of the midpoint be (x,y) hence:

[tex]x=\frac{x_1+x_2}{2}=\frac{6+1}{2} =\frac{7}{2}[/tex]

[tex]y=\frac{y_1+y_2}{2}=\frac{-20+14}{2} =-3[/tex]

The point at which they met is at (7/2, -3). Charlie location is at (7/2, 2). Hence the distance upward that they have to move = 2 - (-3) = 5 units

They have to move 5 units upwards

A climber is suspended 54 feet below a cliff by a rope. If
she were to climb 18 feet up the rope, how many feet below
the cliff would she be then?

Answers

36 ft, just subtract 18 from 54

In 2011 Clayton Kershaw earned $500,000 pitching for the LA Dodgers. In 2019, his salary was $31,000,000. Answer the three parts below. Clearly show all work and reasoning.
A) Kershaw pitched in 32 games in 2011. What was his salary per game in 2011?
B) He pitched in 28 games in 2019. What was his salary per game in 2019? Round to the nearest cent.
C) Did he earn more per game in 2019 than he did for the entire 2011 season?

Answers

Answer:

A. $15,625 per game

B. $1,107,142.86 per game

C. he earned $607,142.86 more per game in 2019 than he did for the entire 2011 season

Step-by-step explanation:

His salary in 2011 = $500,000

His salary in 2019 = $31,000,000

A) Kershaw pitched in 32 games in 2011. What was his salary per game in 2011?

Kershaw's salary per game = Total salary / Total number of games

= $500,000 / 32 games

= $15,625 per game

B) He pitched in 28 games in 2019. What was his salary per game in 2019? Round to the nearest cent.

Kershaw's salary per game = Total salary / Total number of games

= $31,000,000 / 28 games

= $1,107,142.8571428

To the nearest cents

= $1,107,142.86 per game

C) Did he earn more per game in 2019 than he did for the entire 2011 season?

$1,107,142.86 per game - $500,000

= $607,142.86

Yes, he earned $607,142.86 more per game in 2019 than he did for the entire 2011 season

Answer:

A. $15,625 - game

B. $1,107,142.86 - game

C. Kersh earned $607,142.86 more per game in 2019 than he did for the entire 2011 season ($500k)

Evaluate this expression: 3x + 9x -5

Answers

Answer:

12x - 5

Step-by-step explanation:

3x + 9x - 5 can be easily simplified by combining like terms.

3x and 9x are like terms because they both contain the same variable and the same exponent (understood to be 1).

Therefore, because an addition sign separates the two terms, it is expected of you to add the two together. To do this, just add the terms together as you would any other terms.

3x + 9x = 12x

Because the 5 is the only constant in the equation, it cannot be combined with anything else.

The simplified expression is 12x - 5.

(- 5x^-2y) + (6x^7y^-1)+7x^5

Answers

Answer:

[tex]\frac{-5y+6x^7+7x^5}{x^2y^1}[/tex]

Step-by-step explanation:

Step 1: Write out expression

-5x⁻²y + 6x⁷y⁻¹ + 7x⁵

Step 2: Move negative exponents to denominator

*x⁻² and y⁻¹ have to be moved. Everything else stays.*

[tex]\frac{-5y+6x^7+7x^5}{x^2y^1}[/tex]

There are 24 men, 60 women, and 44 children on a bus. Write the ratio men:women:children in simplest form?

Answers

Answer:

6:15:11

Step-by-step explanation:

We first start off with 24:60:44. We then know that the greatest common factor is 4, so we divide the ratio by 4 to get 6:15:11.

If you would like more help on math or other subjects for FREE, check out growthinyouth.org.

Answer:

6:15:11

Step-by-step explanation:

men:women:children = 24:60:4424, 60, and 44 can all we divided by 4. 24 ÷ 4 = 660 ÷ 4 = 1544 ÷ 4 = 11Put them together: 6:15:11

What is a term used to describe two-dimensional figures with all sides and all angles congruent?

Answers

Answer:

congruent figures

Step-by-step explanation:

Given the points C(-1,-5) and D(-7,11) find the coordinates of point E on CD such that the ratio of CE to ED is 5:3.

((Yes im this stupid, please help-))

Answers

Answer:

The coordinates of point E on CD are [tex]\left(-\frac{19}{4},5 \right)[/tex].

Step-by-step explanation:

Let be [tex]C = (-1,-5)[/tex], [tex]D = (-7,11)[/tex] and [tex]\frac{CE}{ED} = \frac{5}{3}[/tex]. The given ratio can be translated vectorially into this:

[tex]\overrightarrow {CE} = \frac{5}{3} \cdot \overrightarrow{ED}[/tex]

And let consider that each point is a vector with respect to origin:

[tex]\vec C = (-1, -5)[/tex] and [tex]\vec {D} = (-7,11)[/tex]

Then,

[tex]\vec E -\vec C = \frac{5}{3}\cdot (\vec D -\vec E)[/tex]

[tex]\vec E +\frac{5}{3}\cdot \vec E = \frac{5}{3}\cdot \vec D + \vec C[/tex]

[tex]\frac{8}{3}\cdot \vec E = \frac{5}{3}\cdot \vec D + \vec C[/tex]

[tex]\vec E = \frac{5}{8}\cdot \vec D + \frac{3}{8}\cdot \vec C[/tex]

[tex]\vec E = \frac{5}{8}\cdot (-7,11)+\frac{3}{8}\cdot (-1,-5)[/tex]

[tex]\vec E = \left(-\frac{35}{8},\frac{55}{8} \right)+\left(-\frac{3}{8},-\frac{15}{8} \right)[/tex]

[tex]\vec E = \left(-\frac{35}{8}-\frac{3}{8},\frac{55}{8}-\frac{15}{8} \right)[/tex]

[tex]\vec{E} = \left(-\frac{19}{4}, 5\right)[/tex]

The coordinates of point E on CD are [tex]\left(-\frac{19}{4},5 \right)[/tex].

Daniel went to Target and bought a basketball for $ 21.85 and a shirt for $12.68. Daniel received $ 0.47 in change. How much did Daniel give the cashier?

Answers

Answer:

$35

Step-by-step explanation:

To do this you would just add the 2 prices together and you would get $34.53 and you would add 47 cents to that and you would get that Daniel gave $35 to the cashier.

how do you dilate a point on a graph?

Answers

Answer:

If the point that you are dilating is directly above the point of dilation and you are dilating by 3, you take the distance from the point of dilation and the point you are dilating and you multiply it by 3. That is where you put your new point.

Step-by-step explanation:

i found this on google

Mr. Adams drove his delivery truck 151.2 miles during 2.4 days. He drove the same number of miles each day. How many miles did he drive in one day? *

Answers

answer 63 miles
Explains 151.2 / 2.4 = 63

what is the image of the point (-3,5) after a rotation of 90 counterclockwise about the origin

Answers

Answer:

(5, 3 )

Step-by-step explanation:

Under a counterclockwise rotation about the origin of 90°

a point (x, y ) → (y, - x ) , thus

(- 3, 5 ) → (5, 3 )

Answer:

(-5,-3)

Step-by-step explanation:

The table shows the number of the free throws each player made during the last basketball season determine if each statement is true or false

Answers

Answer:

True

Step-by-step explanation:hi

help plzzzzzzzzzzzz not i am lost. 100 points or more if I can. Show how to solve the Quadratic Equation y=6x^2 +2x - 20 or a different equation you choose by ALL OF THE FOLLOWING METHODS: Using Quadratic Formula by hand Using Factoring and the Zero Property Product Using Completing the Square Using Graphing on the Calculator

Answers

Answer and Step-by-step explanation:

y=6x² +2x - 20

let a=6  

let b= 2

let c = -20

Using Quadratic Formula by hand Using Factoring and the Zero Property Product Using Completing the Square Using Graphing on the Calculator

using Quadratic Formula

-b ± √( b² - 4ac)

          2a

-2 ± √( 2² - 4*6(-20))

             2*6

-2 ± √( 2² - 4*6(-20))

              2*6

-2 ± √(484)

       2*6

20/12 = 5/3      

-24/12 = -2

the answers are 5/3 ;  -2

use by Factoring

0=6x² +2x - 20

0 =2( 3x² +x - 10)

   =2 ( 3x-5) ( x+2)

by using the zero product property

3x-5 = 0

x+2 = 0

3x=5        

x =-2

x = 5/3    

x = -2

by using completing the square

y=6x² +2x - 20   Add 20

20=6x² +2x        Divide by 6

20/6 = x² +2/6x

10/3 = x^2 +1/3x    Take the coefficient of x and divide by 2

1/3 /2 = 1/6             Square it

(1/6) ² = 1/36        Add it to both side s

10/3 + 1/36 = x² +1/3x+ 1/36

120/36 + 1/36  = ( x+ 1/6)²

121/ 36= ( x+ 1/6)²  Take the square root of both side

√(121/ 36) = √( ( x+ 1/6)²)

±11/6 = x+1/6          Subtract 1/6 from both side

-1/6 ±11/6 = x

-1/6 - 11/6 = x      

-1/6 + 11/6 = x

-12/6 =x                

10/6 =x

x = -2  

x = 5/3

by using a graphing computer

Graph h(x) = 4x + 4 + 3.
Help me plz

Answers

Answer:

h(x)=4x+7

Step-by-step explanation:

4+3 can be added together if they do not have a variable. h(x)=4x+7. Plug in different x coordinates and solve for h(x). Now graph those points.

(-2,1)

(0,7)

(-1.75,0)

Select the correct answer. Tanya distributes pencils to students in her class for an upcoming test. The number of pencils she hands out is given by the equation p = 3s, where p is the number of pencils and s is the number of students. If there are 16 students in Tanya's class, how many pencils did she distribute? A. 3 B. 8 C. 18 D. 48

Answers

Answer:

D.

Step-by-step explanation:

p=3s

p=3(16)

p=48 pencils

Write an equation for the following scenario. The sum of 2 times a number and 8 is equal to 3 less than that number.

Answers

Answer: 2n + 8 = n -3

Step-by-step explanation:

In this scenario we will represent that number by the variable n.

So two times the number will be 2n plus  8  is 2n +8  and it has to equal 3 less that  number so it will be n-3.

What is the solution to this linear system? Enter a value in each box to create an ordered pair.

Answers

Answer:

(2, 3)

Step-by-step explanation:

First of all, let us understand what does a linear system mean.

A linear system means a mathematical model that contains more than one linear equations.

Linear equations mean maximum power of the variable is 1.

Now, how to solve for system of linear equations.

There are two methods to solve the system:

1. From equations: A linear equation is generally written as:

[tex]Ax+By+C=0[/tex]

Two such equations are solved for the values of [tex]x[/tex] and [tex]y[/tex].

2. From Graph:

The intersecting point of the graphs of the equations is the solution of the system of linear equations.

Now, let us consider the given graph of two lines.

The intersecting point is (2, 3)

Where 2 is the value of x coordinate and

3 is the value of y coordinate.

So, solution is (2, 3)

Please refer to the attached image for the answer.

We want to see the solution of a system of equations by looking at its graph, we can see that the solution is the point (2, 3)

A system of equations is a group of equations that must be solved simultaneously. When graphed, these solutions appear as intersections between the curves that represent each equation.

So for the graphed system, the solution is just the intersection between the two lines, we can see that it happens at the point (2, 3).

If you want to learn more, you can read:

https://brainly.com/question/19249122

A custom T-shirt shop spent $250 dollars on equipment and has to purchase the T-shirts at a cost of $2 per shirt. Their total cost, C, can be found using the function C=2T+250 Where T is the number of T-shirts they purchase. If the shop purchased 300 T-shirts, how much was their total cost?

Answers

Answer:

The total cost is $850

Step-by-step explanation:

From the function

C = 2T + 250

where

T is the number of T-shirts they purchase.

If the the shop purchases 300 T-shirts, then it means

T = 300

substituting into the function, we have

C = 2(300) + 250

C = 600 + 250

c = $850

Solve for y:

2y-2=4y+2

Answers

Answer:

2y-4y=2+2.

-2y=4.

y= -2.

Answer:

y=−2

Step-by-step explanation:

Step 1: Subtract 4y from both sides.

−2y−2=2

Step 2: Add 2 to both sides.

−2y=4

Step 3: Divide both sides by -2

y=−2

Given x=-3, y=6, and z=-4 2z-3y+4x=

Answers

Solution:

Given, x=-3, y=6 and z=-4

Putting the value in the given equation: 2z-3y+4x, we will get,

=2(-4)-3(6)+4(-3)

=-8-18-12

=-38

Marcus is putting new tiles on his kitchen fllor. The kitchen floor is 6.1 feet wide and 9.5 feet long. How many square feet of tile will Marcus need to purchase?

Answers

Answer:

  57.95

Step-by-step explanation:

The area of the floor is (6.1 ft)(9.5 ft) = 57.95 ft². This will be the minimum that Marcus will want to purchase.

If we assume that tiles come in pieces 1 ft square, then Marcus will need a minimum of 58 square feet.

If Marcus does not want to piece together any tiles at the edges, he will want to purchase 10×7 = 70 square feet of tile.

find two numbers with a sum of 129 and a difference (equation only) ​

Answers

Answer:

x + y = 129

with possible solution

128 and 1

Step-by-step explanation:

128 + 1 = 129

There are infinitely many solutions if you don't specify the difference.

10. In the diagram of collinear points, GK=24, HJ=10, and GH=HI=IJ. Find each length.

Please show all work and not just answers.

Answers

Answer:

GH=5

HI=5

IJ=5

JK=9

Step-by-step explanation:

GK=24

HJ=10

GH=HI=IJ.

Let GH, HI, IJ be x

therefore,

HI+IJ=10

=>x+x=10

=>2x=10

=>x=10/2

=>x=5

HI=IJ=GH=5

GH+HI+IJ+JK=GK

=>5+5+5+JK=24

=>15+JK=24

=>JK=24-15

JK=9

please help im stuck on this one i font know how to do inverse operarions​

Answers

Answer:

107.500

Step-by-step explanation:

5.450.000-75.000=5.375.000

5.375.000:12 1/2=5.375.000:25/2=5.375.000*2/25=430.000

430.000:4=107.500

+ and - ,

*  and :

are inverse  operations

Where it is an operation and the result is a number , we have to do the inverse operation for finding the initial number.

verifying :

107.500*4*12 1/2+75.000=5.450.000

What is the purpose of multiplying by the conjugate of a complex denominator when finding the quotient of complex numbers?

a.Radicals in the denominators of fractions are considered unsimplified. Multiplying by the conjugate of a complex denominator will simplify the fraction by cancelling the denominator.

b.Complex numbers in a fraction are considered unsimplified. Multiplying by the conjugate of a complex denominator will simplify the fraction by cancelling the denominator.

c.Radicals in the denominators of fractions are considered unsimplified. You need to multiply a fraction by a value that removes radicals or imaginary numbers in the denominator, which is the complex conjugate of the denominator.

d.Complex numbers in a fraction are considered unsimplified. You need to multiply a fraction by a value that removes radicals or imaginary numbers in the fraction, which is the conjugate of the denominator.

Answers

Answer:

C: Radicals in the denominators of fractions are considered unsimplified. You need to multiply a fraction by a value that removes radicals or imaginary numbers in the denominator, which is the complex conjugate of the denominator.

Step-by-step explanation:

Other Questions
A property's rent roll is an alphabetical listing of each tenant. can help determine the annual rental income for a property. is a master list of a property's marketing plan. should be updated every 10 years. The product of two numbers is 90, and one of the numbers is n. What is the other number? k=1/2kx^2find the value of X Scientific laws explain how and why something occurs on a scientific level true or false Combine the like terms: 4y + y + y Can all opportunity cost be evaluated using cist/ benefit analysis? Is it a ,b,c,d which one? 3x-3y=24. Solve for x Vedic texts contained the same sacred hymns as the Vedas T F importance of being having data on hand Decide whether perimeter or area would be used to find the quantity of sheet metal needed for a roof. a-area b-perimeter If consumers start to believe they need a product, what is likely to happen?A. The demand becomes less elastic.B. The demand becomes more elastic.. The supply decreases.D. The price decreases.Please select the best answer from the choices provided CoStar would like to test if the vacancy rate for "warehouse" stores is more than 8%. A Type I error would occur if CoStar concludes that the vacancy rate was Identify as clause or phrase: between the poles why is there tension between the words hispanic and latino? What happened????????????? Glucagon secretion is stimulated when blood glucose concentration decreases. which carbohydrate pathways does glucagon stimulate in liver? A. glycogen synthesis (glycogenesis) B. glycolysis C. glucose uptake D. gluconeogenesis E. glycogenolysis please help with part b on ex 3&4 The Apriori Principle states that if a ________ is frequent, then all of its _________ must also be frequent. how do you know if it is a function