Solve.

1/3s – 6 < 24

{s | s < 6}
{s | s < 10}
{s | s < 54}
{s | s < 90}

Step-by-step explanation:

the demonstrated property is the commutative property

The equation a + b + 7 = 7 + b + a demonstrates the commutative property of addition, which means that the order of addition does not change the sum.

The mathematical property demonstrated by the equation a + b + 7 = 7 + b + a is the commutative property of addition. This property states that the order in which two numbers are added does not affect the sum. In other words, swapping the operands does not change the result. As shown in the equation and the principles outlined, whether you add a to b or b to a, the sum remains the same. This is true for the addition of ordinary numbers as well— you get the same result whether you add 2 + 3 or 3 + 2, for example.

Answer:

Step-by-step explanation:

The point-slope form of an equation of a line:

[tex]y-y_1=m(x-x_1)[/tex]

m - slope

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

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

We have the slope m = -6 and the point (-9, -3).

Substitute:

[tex]y-(-3)=-6(x-(-9))\\\\y+3=-6(x+9)[/tex]

Convert to the slope-intercept form (y = mx + b):

[tex]y+3=-6(x+9)[/tex]           use the distributive property

[tex]y+3=-6x-54[/tex]         subtract 3 from both sides

[tex]y=-6x-57[/tex]

Answer:

161 minutes

Step-by-step explanation:

$1827-$7=$11.27

$11.27/.07=161

Answer:

161 minutes

Step-by-step explanation:

Bill pays a monthly fee for his long distance phone service = $7.00

and call charges per minute = 7 cents

1 dollar = 100 cents

Therefore 7 cents = [tex]\frac{7}{100}[/tex] = $0.07

Last month, Bill's long distance bill was $18.27.

Let Bill used the phone service for x minutes

The equation for his uses in minutes :

7.00 +(0.07x) = 18.27

0.07x = 18.27 - 7.00

0.07x = 11.27

x = [tex]\frac{11.27}{0.07}[/tex]

x = 161 minutes

Bill was billed for 161 minutes.

Answer:

The solution of given equation 5(x - 6) = 2(x + 3) is given by,

x = 12

Step-by-step explanation:

It is given that,

5(x - 6) = 2(x + 3)

To find the solution of given equation

5(x - 6) = 2(x + 3)

5x - (5 * 6) = 2x + (2 * 3)

5x - 30 = 2x + 6

5x - 2x = 6 + 30

3x = 36

x = 36/3

x = 12

Therefore the solution of  given equation is,

x = 12

Answer:

negative 1

2(3x-1)>4x-6

Answer:

Step-by-step explanation:

-1

Answer:

Step-by-step explanation:

Answer x = 0

1 < 0 and 13<0

ANSWER:

7x + 3

let us break the problem into two smaller equations that match-

5x + 2x = 7x

9 - 6 = 3

this leaves you with 7x + 3.

Finding the slope using two points:

The formula for slope is

[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

In this case...

[tex]y_{2} =-2\\y_{1} =4\\x_{2} =6\\x_{1} =-2[/tex]

^^^Plug these numbers into the formula for slope...

[tex]\frac{-2 - 4}{6 - (-2)}[/tex]

[tex]\frac{-6}{8}[/tex]

^^^Can be further simplified to...

[tex]\frac{-3}{4}[/tex]

^^^This is your slope

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

[tex]{\displaystage\boxed{\frac{-3}{4}}[/tex]

Step-by-step explanation:

Slope formula:

     ↓

[tex]\displaystyle\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\displaystage y_2=(-2)\\\displaystage y_1=4\\\displaystage x_2=6\\\displaystage x_1=(-2)\\[/tex]

[tex]\displaystage \frac{-2-4}{6-(-2)}=\frac{-6}{8}=\frac{-6\div2}{8\div2}=\frac{-3}{4}[/tex]

-3/4 is the correct answer.

I hope this helps you, and have a wonderful day!

Answer:

B :point 2 and point 3

Step-by-step explanation:

The only interior angles are 6, 2, 3, and 7

The angles equal to each other are 6 and 7 or 2 and 3

6 and 7 is not an option so 2 and 3 are the correct answer.

Answer:

-7k+21

Step-by-step explanation:

Distributive Property:

    ↓

[tex]A(B+C)=AB+AC[/tex]

A=-7, B=K, and C=3

-7k+7*3

Multiply by the numbers from left to right to find the answer.

7*3=21

-7k+21 is the correct answer.

Answer:

375

Step-by-step explanation:

12½[30] → 25⁄2[30]

Multiply 25 by 30 [750] then divide by 2 to get 375.

I am joyous to assist you anytime.

b*h/2 is the formula for area

8*h= 24

24*2= 48

48/8= 6

6 is the height/ missing side

The value of x for the given right angle triangle such that its area is 24 units² will be 8.

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle.

The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.

As per the given triangle,

The area of right angle triangle = (1/2)8 × x

(1/2)8 × x = 24

x = 24/4 = 8

Hence "The value of x for the given right angle triangle such that its area is 24 units² will be 8".

For more about triangles,

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Answer:

  A.  Its legs are congruent.

Step-by-step explanation:

It is a parallelogram if ...

Answer:

f(f-1(17)) = 17

f-1(f(2)) = 2

Step-by-step explanation:

Lemma;

If f(x) and g(x) are inverses, then the compositions  f(g(x)) = g(f(x)) = x.

In both situations, we are determining the composite of inverse functions;

f and f-1

Answer:

7x^2a

Step-by-step explanation:

7x^3a+7x^2a^2

7x^3a = 7 xxxa

7x^2a^2= 7 xxaa

The common terms are 7xxa

7x^2a

This is the greatest common factor

Answer:

Answer is in the explanation

Step-by-step explanation:

I don't know exactly word from word what your choices look like...

but I can describe per each box what happened in my own words:

First box:  They multiply first equation by 3 and the second equation by 2 to obtain the equations in that first box.

Second box: They subtracted the two equations in the first box to obtain 1x+0y=2 which means 1x=2 or x=2 (this is called solving a system by elimination

Third box: They used their first original equation (before the multiplication manipulation) and plug in the value they got for x which was 2 giving them 3(2)-2y=10

Fourth box: They simplified the equation 3(2)-2y=10 by performing the multiplication 3(2) giving them 6-2y=10

Fifth box:  They subtracted 6 on both sides giving them -2y=4

Sixth box:  They divided both sides by -2 giving them y=-2

I will summarize then what I wrote above:

1st box: Multiplication Property of Equality

2nd box: Elimination

3rd box: Substitution (plug in)

4th box: Simplifying

5th box:  Subtraction Property of Equality

6th box: Division Property of Equality

The diameter of the circle is approximately 20.37 cm, the radius is approximately 10.18 cm, and the length of an arc measuring 190 degrees is approximately 33.8 cm.

The subject at hand concerns the properties of a circle, more specifically its circumference, diameter, radius, and arc length.

In this case, we know that the circumference of the circle is 64 cm. The circumference of a circle is calculated by the formula 2πr (where r is the radius), or can also be viewed as πd (where d is the diameter). If we equate 64 = 2πr, we can thus find the radius, r = 64/(2π), resulting in roughly a radius of 10.18 cm. The diameter of the circle is simply twice the radius, hence in this context, it would be roughly 20.37 cm.

The length of an arc is calculated by multiplying the radius by the angle (in radian measure), which is represented as θ = s/r. In this case, the arc length is not given directly but we are given an angle of 190, and this seems to denote 190 degrees. Although it's important to mention that the standard measure for calculating arc length is radians, if we convert 190 degrees into radians, we get about 3.32 rad. Thus the length of this specific arc will be r*θ=10.18*3.32, resulting in an arc length of about 33.8 cm.

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The radius of the circle with a circumference of 64 cm is approximately 10.18 cm, the diameter of the circle is 20.36 cm and the length of an arc of 190 degrees in this circle is approximately 33.78 cm.

The given circumference is 64 cm. In a circle, the circumference is given by the formula 2πr = Circumference, where r is the radius and π is a constant approximately equal to 3.14. We can rearrange this formula to find the radius: r = Circumference / 2π. Substituting the given value of the circumference, we have r = 64 cm / 2π ≈ 10.18 cm. This is the radius of the circle.

The diameter of a circle is twice the radius, hence the diameter of the circle is 2 * 10.18 cm = 20.36 cm.

Now, to find the length of an arc of 190 degrees in this circle, we first understand that the total angle in a circle is 360 degrees. Hence, the length of the arc corresponding to 190 degrees will be the ratio of 190 to 360 times the circumference. Therefore, arc length = (190/360) * 64 cm ≈ 33.78 cm.

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Answer:

$26

Step-by-step explanation:

To find your answer, simply plug in Francesca's time and Phil's time to your cost equation.

Francesca can be represented by the following equation:

[tex]c=6.5(2)\\c=13[/tex]

Phil can be represented by the following equation:

[tex]c=6.5(6)\\c=39[/tex]

As such, Francesca pays $13 and Phil pays $39. Next, since you want to find how much more Phil paid, all you have to do is subtract 13 from 39. That will give you $26.

Answer:

4

Step-by-step explanation:

The integer A^2 will have 9 divisors:

1, p, q, p^2, pq, q^2, p^2q, pq^2, p^2q^2

Of these, the last 4 are greater than A. Hence there will be these 4 values of B.

Answer:

it removed body waste like and instructions

Answer:

(-1/2,3/2)

Step-by-step explanation:

The rule for dilation about (0,0) by a scale factor is given as:

(x,y)----------(kx,ky)

So if (4,6) was mapped to (2,3) by dilation it means;

x=4

kx=2

k=2/4 =1/2

Hence in this case, the dilation rule is ;

(x,y)---------(1/2x ,1/2y)

For (-1,3) ---------(1/2*-1, 1/2*3)

                         (-1/2, 3/2)

Answer:

[tex](-\frac{1}{2}, \frac{3}{2})[/tex].

Step-by-step explanation:

Since, the rule of dilation about origin by the scale factor k is,

[tex](x,y)\rightarrow (kx,ky)[/tex]

Given,

The dilation maps (4, 6) to (2, 3).

Let k be the scale factor for this dilation,

⇒ 4k = 2 ⇒ k = [tex]\frac{2}{4}=\frac{1}{2}[/tex],

Thus, under the dilation rule would be,

[tex](x,y)\rightarrow (\frac{1}{2}x,\frac{1}{2}y)[/tex]

Hence, (-1,3) would be mapped to [tex](-\frac{1}{2}, \frac{3}{2})[/tex].

Answer:

-3x+11

Step-by-step explanation:

f(x) = 2x-1 + 3 =2x+2

g(x) = 5x-9

(f-g)(x)=  2x+2 - (5x-9)

Distribute the minus sign

         = 2x+2 - 5x +9

Combine like terms

        = -3x+11

Answer:

9 and -4

Step-by-step explanation:

Find two numbers that multiply to be -36 and add to be -5.

That is -9 and 4.

So the factored form of x^2-5x-36 is (x-9)(x+4)

So the x-intercepts are 9 and -4

Answer:

The linear term is -5x

Step-by-step explanation:

The linear term is the term that has the degree equal to 1.

The given function is

y = 2x^2 − 5x − 12

here 2x^2 = quadratic term i.e having degree 2

-5x = linear term i.e having degree 1

-12 = constant

so, The linear term is -5x

Answer:

three fifths candy bar

Step-by-step explanation:

3/1 ÷ 5/1

3/1 × 1/5 = 3/5

Answer:

3 fiths of a candy bar

Step-by-step explanation:

Answer:

x=​5/​4, ​3/10

Answer:B. x=10/3

Step-by-step explanation:

A P E X

Answer: [tex]\bold{C.\quad \dfrac{26}{9}}}[/tex]

Step-by-step explanation:

[tex]\bigg(\dfrac{2}{5}+\dfrac{4}{3}\bigg)\div\dfrac{3}{5}\\\\\\\text{According to PEMDAS, the parenthesis must be performed first.}\\\\\bigg[\dfrac{2}{5}\bigg(\dfrac{3}{3}\bigg)+\dfrac{4}{3}\bigg(\dfrac{5}{5}\bigg)\bigg]\div\dfrac{3}{5}\\\\\\\bigg(\dfrac{6}{15}+\dfrac{20}{15}\bigg)\div\dfrac{3}{5}\\\\\\\dfrac{26}{15}\div\dfrac{3}{5}\\\\\\\text{Dividing by a fraction is multiplying by its reciprocal.}\\\dfrac{26}{15}\times\dfrac{5}{3}\\\\\\\text{Simplify.}\\\dfrac{26}{3}\times\dfrac{1}{3}[/tex]

[tex]=\large\boxed{\dfrac{26}{9}}[/tex]

The answer is b because the ratio is blondes to brunettes.

Follow below steps;

The student asked which statement about the proportions of blonds and brunettes among their 15 friends is false. Given that the proportion of blonds to brunettes is 6 to 9, let's evaluate the options:

Option a) The ratio of the number of friends to brunettes is 15 to 9. This statement is true since there are 15 friends in total and 9 of them are brunettes.

Option b) The ratio of brunettes to blonds is 6 to 9. This statement is false because the proportion of blonds to brunettes is 6 to 9, so the ratio of brunettes to blonds should be 9 to 6.

Option c) The ratio of blonds to the number of friends is 6 to 15. This statement is true because there are 6 blonds out of 15 friends.

Option d) The ratio of brunettes to the number of friends is 9:15. This statement is also true because there are 9 brunettes out of 15 friends.

Therefore, option b is the false statement as the ratio of brunettes to blonds is incorrectly stated as 6 to 9 instead of the correct ratio 9 to 6.

Answer:

cluster system

Step-by-step explanation: For edgunity

This process is an example of cluster system.

The following information should be considered:

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Answer:

dy/dx=  cos(ln(x))/x

Step-by-step explanation:

y=sin(ln(x)) given

We have to use chain rule to differentiate!

Let u=ln(x) then du/dx=1/x

So we have

if y=sin(ln(x)) then y=sin(u) and dy/dx=dy/du * du/dx=cos(u) *1/x

where again u=ln(x) so

dy/dx=cos(ln(x)) *1/x

dy/dx=cos(ln(x))/x

I hope I have the right intepretation because I do see a ? in between sin and (ln(x)) .