Mathematics High School

how to determine if a number is prime or composite

Answers

Answer 1
bhjhdgf srhtnrj hjlgon54543tjkl
Answer 2

Answer:

Look at how many factors it has.

If it has 2, it's prime.

If it has 3 or more, it's composite.

Step-by-step explanation:

I hope it helps!

Related Questions

Is y=8x a linear function

Answers

yeessssss y=8x is a linear function 

Yes, the function y=8x is a linear function because it has the form y = a + bx, where a is the y-intercept and b is the multiplicative slope factor, both of which are present in this equation with a=0 (implied) and b=8.

The question whether y=8x is a linear function can be answered by examining the form of the equation. A linear equation can generally be expressed as y = a + bx, where a is the y-intercept and b is the slope of the line. Since the equation y=8x fits this form, with a slope of 8 and a y-intercept of 0 (implied), it is indeed a linear function. A graph representing this equation would display a straight line with a slope of 8, confirming its linear nature. The equation y=xb is nonlinear when b is a power rather than a multiplicative parameter, demonstrating the contrast between linear and nonlinear functions. However, in our case, 8 is simply a multiplicative factor, which is characteristic of a linear function.

If m<3 is five times the measure of its supplement (<4), then determine the measure of each angle.

Answers

Let x = m∠3
Let y = m∠4

Because y is the supplement of x, therefore
x + y = 180°             (1)

Because x is five times y, therefore
x = 5y                      (2)

Substitute (2) into (1).
5y + y = 180
6y = 180
y = 30°

From (2), obtain
x = 5*y = 5*30 = 150°

Answer:
m∠3 = 150°
m∠4 = 30°

Solve ×/6 = 20 A.×=14 B. ×=26 C.×=120 D. ×=3

Answers

X/6 = 20
This equation can also be written as X/6 = 20/1
If we cross multiply, we have:
X * 1 = 20 * 6
This is equivalent to: X = 120.
Therefore, X = 120.
The correct option is C.

Bob has some 10 lb weights and some 3 lb weights. Together, all his weights add up to 50 lbs. If x represents the number of 3 lb weights and y represents the number of 10 lb weights, which equation can be used to find the number of each type of weight Bob has?

Answers

total weight = 50 lb
x = number of 3-lb weights
y = number of 10-lb weights

weight of 3-lb weights = 3x
weight of 10-lb weights = 10y
total weight = 3x + 10y

equation
3x + 10y = 50

The formula k=c+273.15k=c+273.15 converts temperatures from celsius cc to kelvin kk.
a. solve the formula for cc. c=c=
b. convert 300 kelvin to celsius. write your answer using decimals. 300k=300k= ∘c

Answers

a. We are given that the formula for Celsius (c) to Kelvin (k) is:

k = c + 273.15

 

Now to solve for the formula for c, simply subtract 273.15 from both sides, so that:

k – 273.15 = c + 273.15 – 273.15

k – 273.15 = c

 

Rearranging:

c = k – 273.15

 

 

b. We are given that k = 300 Kelvin, therefore find for c:

c = k – 273.15

c = 300 – 273.15

c = 26.85°C

Final answer:

The formula to convert temperature from Kelvin to Celsius is c = k - 273.15. When you use this formula to convert 300 Kelvin to Celsius, the answer is 26.85°C.

Explanation:

The formula k = c + 273.15 is used to convert temperatures from Celsius to Kelvin. To solve for 'c' (Celsius), you would subtract 273.15 from both sides of the equation which gives c = k - 273.15.

If you have a temperature of 300 Kelvin and you want to convert this to Celsius using the formula c = k - 273.15, you would substitute 300 in place of k. This gives: c = 300 - 273.15, which equals 26.85°C.

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What is the slope intercept form of 6x + 2y = 24?

Answers

6x + 2y = 24....subtract 6x from both sides
2y = -6x + 24...now divide both sides by 2
y = -6/2x + 24/2...now reduce
y = -3x + 12 <=== slope intercept form of y = mx + b


Can someone help me write an equation for this problem?



Felicity put down $800 on a used car. She took out a loan to pay off the balance of the cost of the car. Her monthly payment will be $175. After 9 months how much will she have paid for the car?

Answers

y=800+175(9)
And then just solve for y.

The length of a rectangular room is 2 feet longer than twice the width. if the room's perimeter is 196 feet, what are the room's dimensions?

Answers

Using a system of equations, it is found that for the room's dimensions:

The width is of 32.33 feet.The length is of 66.67 feet.

The perimeter of a rectangle of length l and width w is given by:

[tex]P = 2(l + w)[/tex]

The length of a rectangular room is 2 feet longer than twice the width, hence:

[tex]l = 2w + 2[/tex]

The room's perimeter is 196 feet, hence:

[tex]2l + 2w = 196[/tex]

From the second equation:

[tex]2(2w + 2) + 2w = 196[/tex]

[tex]6w = 194[/tex]

[tex]w = \frac{194}{6}[/tex]

[tex]w = 32.33[/tex]

Then:

[tex]l = 2w + 2 = 2(32.333) + 2 = 66.67[/tex]

The width is of 32.33 feet.The length is of 66.67 feet.

A similar problem is given at https://brainly.com/question/9553406

The dimensions of the room are 32 feet by 66 feet, with a total area of 2112 square feet, which can be calculated for carpet replacement based on the room's perimeter.

To find the dimensions of a rectangular room where the length is 2 feet longer than twice the width and the perimeter is 196 feet, we first need to establish equations based on the given information. Let the width of the room be represented by w and the length be represented by l. From the problem, we have that l = 2w + 2. The perimeter P of a rectangle is given by P = 2l + 2w. Plugging in what we know, we can set up the equation:

196 = 2(2w + 2) + 2w

Solving this, we get:

196 = 4w + 4 + 2w196 = 6w + 4192 = 6ww = 32 feet

Now, we use the width to find the length:

l = 2(32) + 2l = 64 + 2l = 66 feet

So, the dimensions of the room are 32 feet by 66 feet. Since the student wants to determine the square footage for carpet replacement, we can calculate the area by multiplying the length and width:

Area = 32 feet × 66 feet = 2112 square feet

what are the steps for using a compass and a straightedge to construct a line perpendicular to a given line through a point not lying on the given line?

Answers

Here is a picture of how to do it. (:

Answer:

As mention in the explanation steps.

Step-by-step explanation:

Te following steps may be helpful for using a compass and a straightedge to construct a line perpendicular to a given line through a point not lying on the given line (as shown in the figure).

Step - 1. Draw a line (line AB)

Step- 2. Take a point (point P), that do not lie on the line AB.

Step - 3. Assume point p as a center an draw as arc which intersect the line AB at two point (point C and point D).

Step - 4. Now draw a line XY that is  the perpendicular bisector of line segment CD. This recurred line XY is the  line perpendicular to a given line (line AB) through a point not lying on the given line.  

HELP ASAP A? B? C? D?

Answers

the answer is A because the square root of 3 is 1.73

in how many ways can jasmine draw a blue or yellow marble from the jar containing 28 blue marbles and 7 yellow marbles

Answers

Can you email me ? Are you in k12

Subtract 75% of 86 ft

Answers

75% of 86ft would be 64.5
Hope this helps. :)
-11 is the answer :) hope this helps


The leg of a right triangle is 3 units and the hypotenuse is 7 units. What is the length, in units, of the other leg of the triangle?

4
Square root of 40
Square root of 58
10

Answers

a^2 + b^2 = c^2....where a and b are the legs, c is the hypotenuse
3^2 + b^2 = 7^2
9 + b^2 = 49
b^2 = 49 - 9
b^2 = 40.....take sqrt of both sides, eliminating the ^2
b = square root of 40 <==

Answer:

square root of 40

Step-by-step explanation:

a^(2)+b^(2)=c^(2)

3^(2)+b^(2)=7^(2)

9+b^(2)=49

9-9+b^(2)=49-9

b^(2)=40

sqr b^(2)=sqr 40

b=6.32455532034

therefore,the square root of 40 is the answer

Help Plz!!!!!!!!!!!!!!!!

Answers

D.. A(l)=l-6 that’s the answer.
The equation says 6 feet less than the length of the rectangle. That means the length is subtracted by 6. So your equation would be A(l) = l - 6. I hope this helps love! :)

Plot the inequality on the number line.

−7≤x≤−2



Choose the proper tool with the correct endpoints then click and drag the endpoints to the correct location.

Notice the trash can is available if an error is made.

Answers

-7 < = x < = -2

split them..
x > = -7......x < = -2

ok....u need the symbol where it shows 2 solid dots...with the line in the middle....no arrows.....one dot will be on -7 and the other dot will be on -2

Plot the inequality on the number line. the graph is attached below.

Use the tool that has solid dots at both ends

Explanation :

Plot the inequality on the number line.

−7≤x≤−2

We start plotting the point at -7. we use closed circle at -7 because we have less than or equal to sign at -7

Now we plot another point at -2. here also we use closed circle that is solid circle .

Now shaded the region between -7 and -2 because x lies between -7 and -2

The graph of number line is attached below

The tool uses here is a line with solid dot at both ends

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A number x is more than -6 and at most 8. Write it in a inequality

Answers

-6<x≤8 would be the inequality

The required inequality is -6<x<8

What is an inequality?

An inequality is an inequation separated by <,>≥,≤. In Mathematics, the relationship between two values that are not equal is defined by inequalities. Inequality means not equal. Generally, if two values are not equal, we use “not equal symbol (≠)”. But to compare the values, whether it is less than or greater than, different inequalities are used.

Given here: A number x is more than -6 and at most 8.

Clearly we can infer that the number lies between the interval (-6,8)

Thus we can construct the inequality for x as

-6<x<8 or x has 11 integral values

Hence, The required inequality is -6<x<8

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Felicity is placing a rectangle in the coordinate plane. She knows that the longer side of the rectangle is 3 times its shorter side. She places the longer side on the x-axis. What coordinates should she assign to the top-right vertex of the rectangle? Enter your answer in the boxes. ( , ) A rectangle is in the coordinate plane so that the bottom left vertex is at 0 comma 0, the top left vertex is on the positive side of the y-axis and is labeled 0 comma a, the top right vertex is in the first quadrant and is labeled question mark comma question mark, and the bottom right vertex is on the positive side of the x-axis.

Answers

(3a, a) The problem states that the longer side of the rectangle is placed on the x-axis. Additionally, the problem states that the coordinate (0,0) is the bottom left vertex. That tells you that you don't have any translation going on, so you don't have to add a constant to either the X, or Y value. Finally, the problem states that the upper left vertex is at coordinate (0,a). Because of that and the fact that the lower left coordinate is at (0,0), the length of the shorter side of the rectangle has to be a. And three times the length of "a" is "3a". So the upper right coordinate has to have an X value of "3a" and a Y value of "a", or in other words (3a,a).

Answer:

(3a,a)

Step-by-step explanation:

An item is regularly priced at $40. she bought it at a discount of 35% off the regular price. How much did she pay?

Answers

She payed $25 (not including tax). To work this problem, you need to set up a ratio.
x 35
-- = --
40 100

This will show you how much money is off of the item.

After you solve the ratio (cross multiply and divide), you should have gotten the answer $14. Then you subtract 14 from 40 to get the price of the item currently at 35% off. The answer would be $25.

Why is it important to review test results? After you review the results of a quiz or a test, what should be your next steps? Give at least one example for good test results and at least one for poor test results.

Answers

It is important to review test results to ensure whether there are answers that are correct and weren't able to be check throuroughly and to check what are questions have you gone wrong and what are likely to be correct based on the results. After reviewing for the results, it is best to put in mind of all of the mistakes that you have gotten in a way as an applied learning of having to prevent those mistakes of having to occur again such as taking down notes of the wrong answers that you got and to review them. A good test result indicates of having to have a passing grade and poor test result is when you got low results such as below the passing grade.

Sam decides to build a square garden. if the area of the garden is 4x2 - 20x + 25 square feet, what is the length of one side of the garden?

Answers

33-20x heres your answer

This involves Triangle Centroid. I really do not know how to set this up at all

Answers

segment FM is a "median", and therefore, whether or not it bisects the angle at F, it does bisect the EG segment, thus is called a median, it cuts it into two equal halves, therefore, EM = MG. 

[tex]\bf EM=MG\implies \cfrac{2x-9}{2}=\cfrac{1+x}{2}\implies 4x-18=2+2x \\\\\\ 2x=20\implies x=\cfrac{20}{2}\implies \boxed{x=10}\\\\ -------------------------------\\\\ EG=EM+MG\implies \cfrac{2(10)-9}{2}+\cfrac{1+(10)}{2}\implies \cfrac{11}{2}+\cfrac{11}{2} \\\\\\ \cfrac{22}{2}\implies 11[/tex]

Graph f(x)=−3/4x−4 .

Answers

Final answer:

To graph the equation f(x) = -3/4x - 4, choose values for x, substitute them into the equation to find corresponding y values, and plot the points on a graph.

Explanation:

The given equation is f(x) = -3/4x - 4. To graph this equation, we can choose several values for x and substitute them into the equation to find the corresponding values for y. Then, we plot these points on a coordinate plane and connect them to form a line.

For example, let's choose x = 0. Substituting this value into the equation, we get f(0) = -3/4(0) - 4 = -4. This gives us the point (0, -4) on the graph. Similarly, we can choose other values for x and find their corresponding y values to plot more points and complete the graph of f(x).

The sum of twice a first number and five times a second number is 78. If the second number is subtracted from five times the first number the result is 33. Find the numbers.

Answers

The numbers are:  "9" and "12" .
___________________________________
Explanation:
___________________________________
Let:  "x" be the "first number" ; AND:

Let:  "y" be the "second number" .
___________________________________
From the question/problem, we are given:
___________________________________
     2x + 5y = 78 ;  → "the first equation" ; AND:

     5x − y = 33 ;  → "the second equation" .
____________________________________
From "the second equation" ; which is:

   " 5x − y = 33" ; 

→ Add "y" to EACH side of the equation; 

              5x − y + y = 33 + y ;

to get:  5x = 33 + y ; 

Now, subtract: "33" from each side of the equation; to isolate "y" on one side of the equation ; and to solve for "y" (in term of "x");

            5x − 33 = 33 + y − 33 ;

to get:   " 5x − 33 = y " ;  ↔  " y = 5x − 33 " .
_____________________________________________
Note:  We choose "the second equation"; because "the second equation"; that is;  "5x − y = 33" ;  already has a "y" value with no "coefficient" ; & it is easier to solve for one of our numbers (variables); that is, "x" or "y"; in terms of the other one; & then substitute that value into "the first equation".
____________________________________________________
Now, let us take "the first equation" ; which is:
  "  2x + 5y = 78 " ;
_______________________________________
We have our obtained value; " y = 5x − 33 " .
_______________________________________
We shall take our obtained value for "y" ; which is: "(5x− 33") ; and plug this value into the "y" value in the "first equation"; and solve for "x" ;
________________________________________________
Take the "first equation":
 ________________________________________________
      →   " 2x + 5y = 78 " ;  and write as:
________________________________________________ 
      →   " 2x + 5(5x − 33) = 78 " ;
________________________________________________
Note the "distributive property of multiplication" :
________________________________________________
     a(b + c) = ab + ac ; AND:

     a(b − c) = ab − ac .
________________________________________________
So; using the "distributive property of multiplication:

→   +5(5x − 33)  = (5*5x) − (5*33) =  +25x − 165 .
___________________________________________________
So we can rewrite our equation:

          →  " 2x + 5(5x − 33) = 78 " ;

by substituting the:  "+ 5(5x − 33) " ;  with:  "+25x − 165" ; as follows:
_____________________________________________________

          →  " 2x + 25x − 165 = 78 " ;
_____________________________________________________
→ Now, combine the "like terms" on the "left-hand side" of the equation:

              +2x + 25x = +27x ; 

Note:  There are no "like terms" on the "right-hand side" of the equation.
_____________________________________________________
    →  Rewrite the equation as:
_____________________________________________________
         →   " 27x − 165 = 78 " ;

      Now, add "165" to EACH SIDE of the equation; as follows:

         →    27x − 165 + 165 = 78 + 165 ;

        →  to get:      27x = 243  ;
_____________________________________________________
      Now, divide EACH SIDE of the equation by "27" ; to isolate "x" on one side of the equation ; and to solve for "x" ;
_____________________________________________________
               27x / 27  =  243 / 27 ; 

       →   to get:    x = 9 ; which is "the first number" .
_____________________________________________________
Now;    Let's go back to our "first equation" and "second equation" to solve for "y" (our "second number"):

     2x + 5y = 78 ; (first equation);
     
      5x − y = 33 ; (second equation); 
______________________________
Start with our "second equation"; to solve for "y"; plug in "9" for "x" ;

→ 5(9) − y = 33 ;  

    45 − y = 33;  
   
Add "y" to each side of the equation:
 
   45 − y + y = 33 + y ;  to get:

   45 = 33 + y ;  

↔ y + 33 = 45 ;  Subtract "33" from each side of the equation; to isolate "y" on one side of the equation ; & to solve for "y" ;  
 
 → y + 33 − 33  = 45 − 33 ;

to get:  y = 12 ;

So;  x = 9 ; and y = 12 .  The numbers are:  "9" and "12" .
____________________________________________
 To check our work:
_______________________
1)  Let us plug these values into the original "second equation" ; to see if the equation holds true (with "x = 9" ; and "y = 12") ; 

→ 5x − y = 33 ;  → 5(9) − 12 =? 33 ?? ;  → 45 − 12 =? 33 ?? ;  Yes!
________________________
2)  Let us plug these values into the original "second equation" ; to see if the equation holds true (with "x = 9" ; and "y = 12") ;

→ 2x + 5y = 78 ; → 2(9) + 5(12) =? 78?? ; → 18 + 60 =? 78?? ; Yes!
_____________________________________
So, these answers do make sense!
______________________________________

Find the solution set of the inequality 4x−1<11.

Answers

4x - 1 < 11
4x < 11 + 1
4x < 12
x < 12/4
x < 3 <==

What angle measures larger than 180 degrees, but less than 360 degrees?

Answers

Let, the required angle be 'x'.
So, the angle is 180°<x°<360°.
it can be any angle between 181° and 359°(excluding 180° and 360°)

Answer:

reflex

Step-by-step explanation:

bob takes 4 apples and sarah eat 2 of his apples how many apples does bob have now ?

Answers

4-2 = 2
He started with 4 and went down 2.  So he has 2 left.
This question was hard. But I figured It out So I learned 4-2=6-4=2 So I had got my answer by doing that.

Is it possible for a line ax+by=c to lack a y-intercept? To lack an x-intercept

Answers

No it is not because the line is infinite it will cross one no matter how far along it may be.
No, and no. A linear equation always touches both axes, and therefore cannot lack either intercept (it always has exactly 2, one Y and one X)

A segment has endpoints A and C. What are two names for the​ segment?

Answers

The two names for the​ segment are AC and CA that has endpoints A and C the answer would be AC and CA.

What is a segment bisector?

A segment bisector is a line, ray, line segment, or point that divides a line segment into two equal halves at its center.

It is given that:

A segment has endpoints A and C.

As we know, the line segment is the line that goes to the endpoints on both sides.

The line segment can be represented as AC and CA

Or

The bar(AC) and bar(CA)

Thus, the two names for the​ segment are AC and CA that has endpoints A and C the answer would be AC and CA.

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Molly walked four more miles than Tim. Together, they walked ten miles. How many miles did each walk? The replacement set is {1, 2, 3, 4}.

a. Define the variable, and write expressions for the number of miles each person walked.



b. Write an equation that represents the problem.



c. Solve the equation. (Be sure to try every element in the replacement set and to show all of your work.)







d. Answer the question. (Remember, answers to word problems have units.)

Answers

A) Variable = x ( miles Tim walked )

B)  Tim walked X miles, Molly walked 4+x miles ( 4 more than Tim)

 Equation:  x + x+4 = 10

C) x +x+4 = 10

2x+4 = 10

2x =6

x = 3

D)

 Tim walked 3 miles, Molly walked 7 miles

Allen's boat used 6 gallons of gas in 5 hours. at this rate, how many gallons of gas will the boat use in 12 hours?

Answers

I'm pretty sure he used 14.40 gallons of gas in 12 hours, hope this helps! :)
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