There are four integers in a set, and each integer must be no less than 1 and no greater than 36. The sum of the four integers in that set must be no less than 118 and no greater than 144. What are ALL of the possible number combinations that fit the criteria?

e.g. [tex]34+28+25+34=121[/tex]

The equation of the line in point-slope form, with slope equal to 3 and passing through the point located at (1 , 5), is (y - 5) = 3(x - 1).

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).

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

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

where m = 3 and (x1 , y1) = (1 , 5)

(y - 5) = 3(x - 1)

In slope-intercept form, the equation of the line is:

(y - 5) = 3(x - 1)

y - 5 = 3x - 3

y = 3x + 2

In standard form, the equation of the line is:

y = 3x + 2

3x - y = -2

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

#SPJ4

Answer:

3) 21

4) between 6 and 7

5) 14

6) 7

7) 5

Step-by-step explanation:

3) √441 = 21

4) We write √40 to be the square root of 40, and can investigate between which two whole numbers it lies. The number 40 lies between 36 and 49 hence √40 lies between 6 and 7.

5) √184 to whole number

= 13.6 = 14

∴ √184 is equal to 14 round to a whole number

6) √45 to whole number is 7

=6.7 = 7

7) √27 to whole number is 5

=5.2 = 5

Answer:

c

Step-by-step explanation:

im pretty sure it is c because of the 50 50 shoot anically

Answer: T 0.5   H  0.3

Step-by-step explanation:

dont actually do this im a 5th grader who guessed

Answer:

assuming that "x" is a multiplication symbol

(4.2*2)10^-5

0.00001 * 8.4

Answer: Yes

Step-by-step explanation:

3/4 of 42 is (3/4)(42)=31.5, and 41 is greater than 31.5.

The relationship between the angles formed on the exterior of parallel lines on the same side is Co-Exterior Angles

In the picture mentioned, there are two lines m and n parallel to each other and a transversal t. It forms exterior angles on the same side of the transversal as highlighted. According to the property of Co-exterior angles,

                                    =>  ∠1  ≅ ∠8

                                    =>  ∠2  ≅ ∠7

When a transversal is constructed on parallel lines, there are angles formed on both interior and exterior sides of the parallel lines. The pair of angles formed on the exterior side of parallel lines which are on the same side of the transversal dropped on the parallel lines are called Co-exterior angles. These angles formed are congruent to each other.

To know more about the Properties of Angles, Click here :

https://brainly.com/question/17147541

#SPJ4

Answer:

18

Step-by-step explanation:

To find 10% of 180:

multiply 180 with 10 then divide it by 100

180×10÷100 = 18

Answer:

20/11

Step-by-step explanation:

Recall that the word "product" means multiplication.

We're asked to multiply 11/12 by 240/121

Once multiplied, we get:

20/11 or 1.81 (in decimal form)

Answer:

c) 20/11

Step-by-step explanation:

Given problem,

→ (11/12) × (240/121)

Then required product will be,

→ (11/12) × (240/121)

→ (11 × 240)/(12 × 121)

→ 2640/1452

→ 20/11

Hence, option (c) is correct.

The graph has two lines and the lines are parallel lines.

Given that,

There is graph in the picture with 2 lines and 4 points.

The points are A=(0,6) and B=(8,0) of line 1.

The points are C=(-3,4) and D=(0,2) of line 2.

From the line 1 points A and B we can find the equation by using the slope equation formula.

Let take A=(0,6)=[tex](x_{1} ,y_{1} )[/tex] and B=(8,0)=[tex](x_{2} ,y_{2} )[/tex]

slope m= [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} } =\frac{0-6}{8-0}=\frac{-6}{8}=\frac{-3}{4}[/tex]

Now, To find the equation of the line the formula is

[tex]\frac{y -y_{1} }{y_{2} -y_{1} } =\frac{x -x_{1} }{x_{2} -x_{1} }\\\frac{y -6}{0 -6 } =\frac{x -0 }{8 -0 }\\\frac{y-6}{-6}=\frac{x}{8}\\ 8(y-6)=x(-6)\\ 8y-48=-6x\\6x+8y-48=0[/tex]

Therefore, the 1st line equation is [tex]6x+8y-48=0[/tex]

Let take C=(-3,4)=[tex](x_{1} ,y_{1} )[/tex] and D=(0,2)=[tex](x_{2} ,y_{2} )[/tex]

slope m= [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} } =\frac{2-4}{0-(-3)}=\frac{-2}{3}[/tex]

Now, To find the equation of the line the formula is

[tex]\frac{y -y_{1} }{y_{2} -y_{1} } =\frac{x -x_{1} }{x_{2} -x_{1} }\\\frac{y -4}{2 -4 } =\frac{x -0 }{-3 -0 }\\\frac{y-4}{-2}=\frac{x}{-3}\\ -3(y-4)=x(-2)\\ -3y+12=-2x\\2x-3y+12=0[/tex]

Therefore, the 2st line equation is [tex]2x-3y+12=0[/tex].

So, from the 2 equation we have

6x+8y-48=0 and 2x-3y+12=0.

[tex]a_{1} =6,b_{1} =8,c_{1} =48[/tex]

[tex]a_{2} =2,b_{2} =-3,c_{2} =12[/tex]

We have to check weather it satisfy the condition or not.

[tex]\frac{6}{2}\neq\frac{8}{-3} \\\frac{a_{1} }{a_{2} }\neq\frac{b_{1} }{b_{2} }[/tex]

Therefore, it satisfy the condition so the lines are parallel lines.

To learn more about lines visit: https://brainly.com/question/17188072

#SPJ1

Answer: 16

Step-by-step explanation:

an = an-1+4 ==> change in every term is +4

1=1st term

7=7th term

-8+4*(7-1)=

-8+4*6=

-8+24=16

Using direct variation, As y varies directly with x, for y=6 the value of x will be -3.

Direct variation is the change in one quantity as a result of the change in another. This suggests that if one quantity rises or falls, the other must rise or fall correspondingly as well.

As y varies directly with x,

Using direct variation,

⇒ y = kx

⇒ 4 = k (-2)

⇒ k = -2

⇒ For y = 6,

⇒ x = y / k

⇒ x = 6 / -2

⇒ x = -3

To learn more about direct variation from given link

https://brainly.com/question/2375770

#SPJ4

The distance between (0,0) and (2,5) is √29.

Given,

(0,0) to (2,5)

We need to find the distance between (0,0) and (2,5).

It is given as:

If two points are (a,b) and (c,d)

d = √ ( c - a )²+ (d - b )²

Find the distance between (0,0) and (2,5).

We have,

d = √ ( 2 - 0 )² + ( 5 - 0 )²

d = √ 2² + 5²

d = √ 4 + 25

d = √ 29

Thus the distance between (0,0) and (2,5) is √29.

Learn more about how to find the distance between two points here:

https://brainly.com/question/22527005

#SPJ1

Answer:

Step-by-step explanation:

Answer:

Henry's garden:

Divide 24 and 18 by 6: you get a 4:3 ratio of tomato: green bean

Simon's garden:

divide both 30 and 25 by 5: you get a 6:5 ratio of tomato: to green bean.

Step-by-step explanation:

Hope this helps!

Using proportional relationships, the unit rates are given as follows:

A direct proportional relationship is a function in which the output variable is given by the multiplication of the input variable and the constant of proportionality, also called the unit rate k, as follows:

y = kx

For this problem, the functions are given as follows:

The unit rates are the constants of proportionality, respectively, given by:

k = 62, k = 65 and k = 63.

The functions for Fosbert's Contracting and Durable B Construction are missing, and are given as follows:

More can be learned about proportional relationships at https://brainly.com/question/10424180

#SPJ1

Using equations of the form y=f(x), you may be able to modify the graph in various ways. For example, you can move the chart up, down, left, or right, flip it around the x or y-axis, or stretch or shrink it vertically or horizontally. Understanding these transformations makes it easy to graph different functions. Start with a "basic model" and apply a series of modifications to change it to the desired function.

X     F(X)           F(X)+4

-2      -2                 2

-1      -1                 3

0      0                 4

1       1                 5

2      2                 6

More problems related to the graph transformation are given in the link below.

https://brainly.com/question/10059147?referrer=searchResults

#SPJ4

Answer:

4.5

Step-by-step explanation:

To answer the problem:

PK * PN = PL^2

Let PN = x

8x = 10^2

8x = 100

x = 100/8

x = 12.5

KN = PN - PK

12.5 - 8 = 4.5 would be the length of segment KN.

Answer: [tex]h > -38[/tex]

Step-by-step explanation:

11h > -2(-5h +19)

Expand = [tex]-2\left(-5h\right)+\left(-2\right)\cdot \:19[/tex] = [tex]2\cdot \:5h-2\cdot \:19[/tex]

Simplify 2 times 5h-2 times 19: 10h-38

[tex]11h-10h > 10h-38-10h[/tex]

Simplify=[tex]h > -38[/tex]

Answer:

x=43 degrees

Step-by-step explanation:

Answer:

G'( -4 , -3 )

Step-by-step explanation:

Use the rule ( x, y ) changes to ( x , -y )

The original point of G is ( -4, 3 )

The x value stays the same, -4

The y value is multiplied by (-1), (3)(-1) = -3

Answer:

Step-by-step explanation:

[-6, ∞)

-6 with bracket because open circle means not equal to.

positive ∞ because arrow shows x going forever.

Answer:

sym. prop of . now mark me as brainliest

Answer:

because shjnanavanakab abakagavajamannsjsvvee. eshjana

The graph represents a function that is non-linear, decreasing and continuous.

In this problem we look at the graph carefully and must infer the most important features of the curve. The following features are listed and explained below:

In a nutshell, the graph represents a function that is non-linear, decreasing and continuous.

To learn more on non-linear functions: https://brainly.com/question/5758609

#SPJ1

By elimination, the solution of the system of equations, 3u + 3v = 15 and -2u + 3v = -5, is (u , v) = (4 , 1).

A system of equations is a set of two or more equations which includes common variables. To solve system of equations, we must find the value of the unknown variables used in the equations that must satisfy all the equations.

There are three methods that can be used to solve system of equations.

1. Elimination

2. Substitution

3. Graphing

Using the elimination method, given two equations in u and v, a variable should be eliminated by adding/subtracting the two equations.

Subtracting the two equations will eliminate the variable v.

3u + 3v = 15     (equation 1)

-2u + 3v = -5     (equation 2)

5u         = 20

u = 4

Substitute the value of u to any of the two equations and solve for v.

3u + 3v = 15     (equation 1)

3(4) + 3v = 15

3v = 15 -12

3v = 3

v = 1

Hence, the solution of the system of equations is (u , v) = (4 , 1).

Learn more about solving systems of equations by elimination here: https://brainly.com/question/28405823

#SPJ4

Ray's total cost was $28, 908.50

Ray Cupple bought a basic car costing at $26,500.00,

The  options costing is $725.00.

The sales tax in the state is 6%

The combined cost for license and registration fee is $50.00

Cost price of car = $26,500 and the Cost of options= $725

Therefore, the total taxable cost=$26,500+ $725=$27225

Tax amount = 6% of Total taxable cost

                    =0.06 x $27225 = $1,633.5

Total cost = $27225 + $1,633.5 + $50

Total cost = $28,908.50

Therefore Ray's total cost was $28, 908.50

To learn more about tax calculation refer here

https://brainly.com/question/1775528

#SPJ1

Disclaimer : Your question was incomplete, the above mentioned answer is solved as per the following question "Ray Cupple bought a basic car costing $26,500.00, with options costing $725.00. There is a 6% sales tax in his state and a combined $50.00 license and registration fee. What was Ray's total cost?"    

Answer:

Yes (10,9) does make the inequality 10x + 13y > 10 true

Step-by-step explanation: