Which of the following can be added to the number indicated on the number line above to sum to 0?
OA 0.6
OB. 1.4
OC -1.4
OD. -0.6

CN and DN are radii of the same circle. So, they are equal in length then the value of DN = 8 cm.

A circle is defined as the collection of all points in the plane that are a fixed distance (the radius) from a fixed point (the center). A radius is any interval that connects a point on a circle to its center. Any two radii have the same length according to the definition of a circle.

A circle is a two-dimensional closed figure in which the set of all points in the plane is equidistant from a given point known as the "center."

A circle is a shape formed by all points in a plane that are at a given distance from the center. It is the curve traced out by a point moving in a plane so that its distance from a given point remains constant.

Here, CN and DN are radii of the same circle. So, they are equal in length then the value of DN = 8 cm.

The complete question is:

If CN = 8 centimeters, find DN.

To learn more about circles refer to:

https://brainly.com/question/24375372

#SPJ4

The solution of the given system of equations is (20/17, 19/17)

We can solve a system of equations using:

- graphical method

- elimination method

- substitution method

The given system of equations:

2x - 3y = -1  ...... (1)

3x + 4y = 8  ...... (2)

To be able to use the elimination method, multiply equation (1) by 3 and equation (2) by 2.

    2x - 3y = -1   (⨉3)

⇔ 6x - 9y =  -3   .........(3)

   3x + 4y = 8  (⨉2)

⇔ 6x + 8y = 16   .........(4)

Substract equation (3) from (4)

6x + 8y = 16

6x - 9y  =  -3   –

      17y = 19

          y = 19/17

Substitute  y = 19/17 into equation (1)

2x - 3y = -1

2x - 3(19/17) = -1

2x - 57/17 = -17/17

2x = (-17 + 57) / 17

2x = 40/17

x = 20/17

Thus, the solution is (20/17, 19/17)

Learn more on how to solve system of equations here

https://brainly.com/question/4686750

#SPJ4

Answer:

D (he got 85% right which is more than 75%)

Step-by-step explanation:

because if you half 6/40 you get 3/20, now if you x by 5 you get 100 so do the same to the top (3x5 = 15)

Now you know that he got 15/100 = 15% wrong

so if you do 100 - 15 you get 85, so he got 85% right

85% is greater than 75% so therefore it is option D

hope this helps :)

Answer:

365/83

Step-by-step explanation:

Distribute where we can

106x - 318 + 18 =23x + 69 - 4

Get variables on one side and constants on the other

106x - 23x = 65 + 300

Do the math

83x = 365

Divide both sides by 83

365/83

Answer:

x = 365/83

Step-by-step explanation:

53(2x−6)+18=23(x+3)−4

106x-318+18=23x+69-4

106x-23x=69-4+318-18

83x = 365

x = 365/83

After solving the equation, y = 20x is the value of y in (3/4)y=15 x

⇒ (3/4)y=15 x

⇒ y = 15x/(3/4)

⇒ y = 20x

To solve Linear equations, utilize the steps that are provided below.

Lets take an example of solve z for 7z – (3z – 4) = 12

Here is no multiplication or division, so this will be easy to solve

⇒ 7z – (3z – 4) = 12

⇒ 7z – 3z + 4 = 12

⇒ 4z = 12 – 4

⇒ 4z = 8

⇒ z = 8/4

⇒ z = 2

See, that was so simple, using the mentioned methods, every linear equation can be solved easily.

Learn more about  linear equations

brainly.com/question/14323743

#SPJ4

Answer:

D. 2 × 3​

Step-by-step explanation:

Let's take the prime factorization of 30 and 42

30: 2*15=2*3*5

42: 2*21=2*3*7

Notice any common factors?

GCF: 2*3=6

GCF: 6

The slope of the line containing (3,1) and (-2,1) is  Zero(0).

The slope of a straight line can be written as follows,

m =  [tex](y_{2} - y_{1} )/(x_{2} - x_{1} )[/tex]                 equation1

The line is containing the points (-3,3) and (4,3). So, we can write

[tex]y_{2}[/tex] = 1 , [tex]y_{1}[/tex] = 1 , [tex]x_{2}[/tex] = -2 , and [tex]x_{1}[/tex] = 3 .

On substituting the values of variables in equation1, we will get

m = ( (1)-(1) ) / ( (-2)-(3) ) = (0/(-5)) = 0.

As the slope of a line is Zero(0), so we can conclude that the given line is a straight line.

Here:

m = the slope of the line

( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] ) are the first coordinates.

( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )are the second coordinates.

The slope of the line containing  (7,-3) and (-8,-3) is  Zero(0).

To know more about Slope of Straight Line refer to the link:

https://brainly.com/question/3493733

#SPJ4

The volume of the candle is 36.9 cubic inches.

Given that the candle is in a circular pillar shape. That is it is in cylindrical shape.

Height of the candle, h = 6 inches

Width of the candle = Diameter of the base circle = 2.8 inches

Radius of the circle, r = 2.8/2 = 1.4 inches

We need to calculate the volume of the cylindrical candle.

Volume of a cylinder = Area of the base circle x height of the cylinder

Therefore, volume of the candle, V = [tex]\pi r^2 h[/tex]

                                                           = 3.14 x 1.4 x 1.4 x 6

                                                           = 36.9264

                                                           = 36.9 cubic inches

The question is incomplete. Find the complete question below:

A circular pillar candle is 2.8 inches wide and 6 inches tall. Find the volume of the candle. Round to the nearest tenth if necessary.

Learn more about volume of cylinder at https://brainly.com/question/9554871

#SPJ4

The first five terms of the sequence. an=n2 +2​ are 3, 6, 11, 18 and 27.

The sequence is given as n² + 2.

The first term will be:

= n² + 2 = 1² + 2 = 1 + 2 = 3

The second term will be:

= n² + 2 = 2² + 2 = 4 + 2 = 6

The third term will be:

= n² + 2 = 3² + 2 = 9 + 2 = 11

The fourth term will be:

= n² + 2 = 4² + 2 = 16 + 2 = 18

The fifth term will be:

= n² + 2 = 5² + 2 = 25 + 2 = 27

Therefore, the first five terms of the sequence. an=n2 +2​ are 3, 6, 11, 18 and 27.

For more information on the sequence click on the link below:

https://brainly.com/question/6561461

#SPJ4

Solving for the rate, you make $15 per hour as a tutor.

Rate is defined as the ratio between two quantities of different units.

Let x = rate

n = total amount you've earned = $195.00

t = time you've worked = 8 hours

If in one week, you earned $75.00 at your afterschool tutoring job, and after working 8 more hours the following week, you had a total of $195.00, then we can express this as

n = xt + $75.00

Substitute the values to solve the rate, x.

n = xt + $75.00

$195.00 = x(8 hours) + $75.00

8hours (x) = $195.00 - $75.00

8hours (x) = $120.00

x = $15/hr

rate = $15 per hour

Learn more about rate here: https://brainly.com/question/19493296

#SPJ4

The answer is an decimal form is 2.75

In the given Statement is:

What is the value of 4x² + 2x - 1 when x = 3/4 ?

Express the answer as a decimal.

Let's Come to the solution:

4x² + 2x - 1 __(1)

Now put the value of x = 3/4 in above equation:

4 (3/4)² + 2 (3/4) - 1

Solve the equation, and get the answer

4 x (9/16) + 3/2 - 1

9/4 + 3/2 - 1

Taking the L.C.M

= [tex]\frac{9+6-4}{4}[/tex]

= 11/4

= 2.75 is the answer

Hence, The answer is an decimal form is 2.75

Learn more about Decimal Form at:

https://brainly.com/question/22116939

#SPJ4

The present age of the daughter is 10 years old.

The age of a woman is four times the age of her daughter.

let

x = age of the daughter

Therefore,

age of the woman = 4x

Five years later, the age of the woman will be three times the age of her daughter.

Therefore,

4x + 5 = 3(x + 5)

4x + 5 = 3x + 15

4x - 3x = 15 - 5

x = 10

Therefore, the present age of the daughter is 10 years old.

learn more on age and expression here: https://brainly.com/question/17217732

#SPJ1

Answer:

$953.70

Step-by-step explanation:

sum the parts of the ratio, 12 + 16 + 17 = 45 parts

divide the total number of toys by 45 to find the value of one part of the ratio.

1530 ÷ 45 = 34 , then

Priya makes 17 × 34 = 578 toys

she is paid $1.65 per toy, so is paid

578 × $1.65 = $953.70

Suppose f(x)=2 x-5 and g(x)=|-3 x-1| Find the value. g(2)-f(0)

g(2)- f(0) = 12

Given:

f(x)=2 x- 5

g(x)=|-3 x-1|

To find g(2), substitute x=2 in g(x).

g(x)=|-3 x-1|

g(2)=|-3 (2)-1|

     =|-6-1|

     =|-7|

g(2) = 7

To find f(0), substitute x=0 in f(x).

f(x)=2 x- 5

f(0)=2(0)- 5

f(0) = -5

Now,  g(2)-f(0)  =7-(-5)

                        =7+5

                        =12

To learn more about functions, refer:

https://brainly.com/question/24166496

#SPJ4

Answer:

4

Step-by-step explanation:

let the number be n then four times the number is 4n and

4n + 3 = 19 ( subtract 3 from both sides )

4n = 16 ( divide both sides by 4 )

n = 4

then the number n is 4

The probability that the archer will hit the center which is 122 centimeters in diameter with 10 concentric circles whose diameters decrease by 12.2 centimeters as they get closer to the center is 1/100.

As given in the question,

Total number of concentric circle=10

Outer circle diameter=122centimeters

Diameter decrease by 12.2 centimeters as they get closer to the center

Diameter of inner most circle= 122-9(12.2)

                                             = 12.2centimeter

Probability that archer hit the center

= (Area of inner most circle)/ (Area of target)

= π(6.1)²/π(61)²

= {π(61)²/π(61)²}× 1/100

= 1/100

Therefore, probability that the archer will hit the center is 1/100.

Learn more about probability here

brainly.com/question/11234923

#SPJ4

Answer: 76

Step-by-step explanation:

4 * 22 = 88

88-12 = 76

The equation of the line in point-slope form, which passes through the pair of points located at (-10 , 3) and (-2 , -5), is y - 3 = -(x + 10).

The equation of a line can be expressed in three different forms: standard form, slope-intercept form, and point-slope form.

The standard form of an equation of a line is expressed as ax + by = c, where a and b, if all possible must be integers, are the coefficients of variable x and y, respectively, and c is a constant. Meanwhile, slope-intercept form is given by the formula y = mx + b, where m is the slope of the line and b is the y- intercept. On the other hand, given the slope m and a point on the line (x , y), we can express the equation in point-slope form, (y - y1) = m(x - x1).

Getting the slope of the two points: (-10 , 3) and (-2 , -5).

m = (y2 - y1)/(x2 - x1)

m = (-5 - 3)/(-2 - -10)

m = -8/8

m = -1

Using the point slope form, plug in the values of the slope and one point to set up the equation.

(y - y1) = m(x - x1)

where m = -1 and (x1 , y1) =  (-10 , 3)

(y - 3) = -1(x - -10)

y - 3 = -(x + 10)

To learn more about equation of line in point slope form: brainly.com/question/24907633

#SPJ4

The slope of a line can be positive, negative, zero, or undefined. The horizontal line does not rise vertically (y1 − y2 = 0), so the slope is zero, but the vertical line does not extend horizontally (that is, x1 − x2 = 0), so the slope is undefined. As mentioned above, the horizontal line has zero slopes. This does not mean that the horizon has no slope. Since the horizontal line is m=0, it is represented symbolically by the expression y=b. Functions defined by horizontal lines are often called constant functions. The slope of the vertical line is undefined. Any two points on the vertical line have the same x-coordinate, so the gradient cannot be computed as a finite number according to the equation

M=(y2-y1)/(x2-x1)

This is because division by zero is an undefined operation.

More similar problems are solved in the given link below.

https://brainly.com/question/3605446?referrer=searchResults

#SPJ4

Answer: x=+9

Step-by-step explanation:

18=3x-9    18-(3x-9)=0    3x+9+18=0    -3x+27=0

-3x=-27

x=-27/-3

x=+9

Hope this helps! :) Have a great day!  ^-^

Answer:

x=3

Step-by-step explanation:

18-3x=9

-18    -18      Subtract 18 from both sides of the equation to leave 3x by itself.

3x=9

/     /

3    3           Divide both sides by 3 to isolate x.

x=3   Final answer.

We came to the conclusion that ΔQRT ≅ ΔSRT is under the side-side-side (SSS) condition.

So,

Given: ΔQRS/SRT is isosceles with QR ≅ SR; RT bisects QS at point T.

To prove: ΔQRT ≅ ΔSRT

So, we can say that ΔQRT ≅ ΔSRT under SSS condition.

Therefore, ΔQRT ≅ ΔSRT is congruent under SSS condition.

Know more about the congruency of a triangle here:

brainly.com/question/2938476

#SPJ4

Using algebra, The product of two consecutive numbers is 18 more then 8 times a number

Roughly speaking, algebra is the study of mathematical symbols and the rules for manipulating these symbols in formulas; it is a unifying thread of almost all of mathematics

The two consecutive numbers are :

x and x+1

x(x+1) = 8(x+1) + 18

x^2 + x = 8x + 8 + 18

x^2 + x = 8x + 26

x^2 + x - 8x - 26 = 0

x^2 - 7x - 26 = 0

Substitute a=1,b=−7 and c=−26 into the quadratic formula

       - B  ±  √ B2-4AC

 x =   ————————

                     2A

Accordingly,  B^2  -  4AC   = 49 - (-104) =    153

Applying the quadratic formula :

             7 ± √ 153

  x  =    —————

                  2

x  =  ( 7 ± 3 ×  4.123 ) / 2

​

Two real solutions:

x =(7+√153)/2=(7+3√ 17 )/2= 9.685

or:

x =(7-√153)/2=(7-3√ 17 )/2= -2.685

To learn more about Algebra click on the link

https://brainly.com/question/22399890

#SPJ9

The number of new jobs gained is 2,842.

A graph can be described as a pictorial representation of data. A graph is made up of a x-axis and a y-axis.

Percentage can be described as a fraction of an amount expressed as a number out of hundred. The sign used to represent percentage is %.

Percentage increase from 2009 to 2016 = percentage increase x number of employees in 2009

14.8% x 19,200

0.148 x 19,200 = 2,842

Here is the complete question:

A professor expects the education and health service industries to increase total employees by 14.8% from 2009 to 2016. Based on the employment graph below, approximately how many new jobs will the education and health service industries gain between 1/2009 and 1/2016?

To learn more about graphs, please check: https://brainly.com/question/21527145

#SPJ1

Answer:

c. 16,273,200

Step-by-step explanation:

Edge 2022

Answer:

1

Step-by-step explanation:

We have to convert the whole number into an improper fraction :

4  = 4/1

Now we multiply the numerators together and the denominators together :

4 × 1 = 4

1 × 4 = 4

Our new fraction is 4/4 = 1

Hope this helped and have a good day

In mathematics, the logarithm is the reciprocal of a power. This means that the logarithm of a given number x is the exponent by which another fixed number (the base b) must be increased to get that number x. The simplest logarithm counts the number of times the same element occurs when multiplying repeatedly. The logarithm of x to base b is denoted by log b (x), or log b x without parentheses. Also, if confusion is impossible or the base doesn't matter, log x shows that even without an explicit base: B. In big O notation.

Solution:

Your problem → log (3,1/27)

log (3, (127)) =-3

Solution steps:

=log (3,127)

=log (3,0.037037)

=log3(0.037037)

=-3

More similar problems are solved in the given link below.

https://brainly.com/question/28596588?referrer=searchResults

#SPJ4

Solution :

Yes, the conveyors are in a proportional relationship.

Given,

A conveyor belt moves at a constant rate of 12 feet in 3 seconds.

A second conveyor belt moves 16 feet in 4 seconds.

There is a proportional relationship if the ratios of each pair of values are the same.

- First conveyor belt

12 feet in 3 seconds.

Ratio = 12 / 3 = 4

- Second conveyor belt

16 feet in 4 seconds.

Ratio = 16 / 4 = 4

Ratios are the same.

4 = 4

Thus the conveyors are in a proportional relationship.

More about the proportional relationship here:

brainly.com/question/11391605

#SPJ9

From the given equation y = 30(0.92)d, she should expect 193 phone calls after a week.

An algebraic expression is a number, variable, or the combination of both and operational symbols. On the other hand, an equation is the equality of two expressions separated by "="..

If the number of phone calls she should expect can be represented by the equation y = 30(0.92)d, where y is the number of phone calls after d days, then we can calculate the expected amount phone calls after a week.

To determine how much phone calls she should expect after a week, substitute the value of d.

y = 30(0.92)d

where d = 1 week = 7 days

y = 30(0.92)(7)

y = 193.2

Rounding off to the nearest whole number,

y = 193

Learn more about equation here: https://brainly.com/question/25678139

#SPJ4