Multiplying a number by 3 is equal to sum of the number and 5.

Answer:

B

Step-by-step explanation:

given that x and y vary inversely then the equation relating them is

y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation

to find k use the condition y is 24 when x is 8 , then

24 = [tex]\frac{k}{8}[/tex] ( multiply both sides by 8 to clear the fraction )

192 = k

y = [tex]\frac{192}{x}[/tex] ← equation of variation

when y = 18 , then

18 = [tex]\frac{192}{x}[/tex] ( multiply both sides by x )

18x = 192 ( divide both sides by 18 )

x = [tex]\frac{192}{18}[/tex] = [tex]\frac{32}{3}[/tex]

Answer:

Step-by-step explanation:

Write the inverse variation

y = k/x

Solve for k

y = 24

x = 8

y = k/x           Substitute the givens into this equation

24 = k/8        Multiply both sides by 8

8*24 = k

k = 192

Solve for x  when y = 18

y = k/x            Multiply both sides by x

xy = k             Divide by y

x = k/y

x = 192/18

x = 10 2/3       The answer is given as an improper fraction.

x = (10*3 + 2)/3

Answer: x = 32/3

Answer:

b. [tex]6\sqrt{3}[/tex]

Step-by-step explanation:

[tex]\frac{6}{x} =\frac{x}{18}[/tex]

[tex]x^{2} =[/tex][tex](6)(18)=108[/tex]

[tex]x=\sqrt{108} =\sqrt{(36)(3)} =6\sqrt{3}[/tex]

Hope this helps

The length of x, the altitude of triangle ABC  is [tex]6\sqrt3[/tex]

From the given figure, we have the following equivalent ratio:

6 : x =x: 18

Express as fraction

6/x = x/18

Cross multiply

[tex]x^2 = 6 * 18[/tex]

Evaluate the product

[tex]x^2 = 108[/tex]

Take the square root of both sides

[tex]x = 6\sqrt3[/tex]

Hence, the length of x, the altitude of ABC  is [tex]6\sqrt3[/tex]

Read more about right triangles at:

https://brainly.com/question/2437195

#SPJ2

The name of the shape depicted in the graph below is rose, so the answer is A.

A rose is a flat curve resembling a symbolic image of a flower. Geometrically, it is the algebraic or transcendent curve whose graph is characterized by a series of windings around a central point.

In the best known cases, these windings produce figures in the shape of a rose window, from which its name derives from.

Learn more about graphs in https://brainly.com/question/14375099

Answer:

2

Step-by-step explanation:

2⁹ ÷ (4^x) = 32^x × 32^(-1)

2⁹ ÷ 32^(-1) = 32^x × 4^x

16384 = 128^x

Kalau kamu dah belajar logaritma,

[tex]x = log_{128}(16384) \\ x = 2[/tex]

Jika belum,

2¹⁴ = 2^(7x)

Bandingkan kuasa persamaan tersebut,

7x = 14

x = 2

Answer:

Math-Graphing Inequalities on a Number Line (the basics)

Step-by-step explanation:

Answer:

11x + 10y - 2w

Step-by-step explanation:

Hello!

To solve for the perimeter, we add up the like terms.

What are like terms?

Like terms are terms with the same variable and degree. 4x and 5y are NOT like terms because the variable is not the same. However, 4x and 3x are like terms, as adding them gives us 7x.

4x and 4x² are not like terms, because the degree of 4x is 1 (degree means the largest exponent), but the degree of 4x² is 2.

Solve for Perimeter:

Combine the like terms by adding them up.

The perimeter is 11x + 10y - 2w

Answer:

For problem 1...                                                    For problem 2...

Here are the solutions for a.                               Here are the solutions for b.

[tex]\left[\begin{array}{ccc}5&6\\7&8&9\end{array}\right][/tex]                                                            [tex]\left[\begin{array}{ccc}3\\4&5&6\\7&8&9\end{array}\right][/tex]

There are only 5 to infinity solutions.                Here, there are 7 to infinity.

                            What can we base off of these data sets?

   We can create many more numerical comparisons, as well as ineqaulities.

Examples of those ineqaulities include...

What have we learned?

Answer:

a is 4.5, and b is 3.

Step-by-step explanation:

These numbers are the averages for the numbers shown.

4+5 = 9

9/2 = 4.5

2+4 = 6

6/2 = 3

That is how you can find the average of two numbers.

Answer:

irrational

Step-by-step explanation:

Use the Pythagorean theorem.

5² + 6² = c²

25 + 36 = c²

c² = 61

7² = 49

6² = 64

61 is between 7² and 8², so it is not rational.

Answer:

see explanation

Step-by-step explanation:

the angles in a square are right .

the diagonals bisect the angles , then

∠ OKL = 45°

The diagonals are perpendicular to each other , then

∠ MOL = 90°

All sides are congruent , so

perimeter = 4 × NM = 4 × 8 = 32

Answer:

Perimeter: 32

measure of angle OKL: 45

measure of angle MOL: 90

Step-by-step explanation:

Things to remember:

- the side of the square are all equal

- vertical angles are congruent

 + ex. MON and KOL; MOL and NOK

- the entirety of the four angles in the center of the square equal 360 degrees

 + ex. MON + MOL + LOK + KON = 360 degrees

- corners of a square equal 90 degrees and since lines MK and LN cut the square in half we can assume that angles like OKL are also cut in half, making them 45 degrees

+ ex. angle NKL (90) = OKL (45) + OKN (45)

- The four triangles in the square are isosceles

If we have the angles of OML and MLO we can find MOL since the angles of a triangle equal 180

OML (45) + MLO (45) + MOL (x) = 180

90 + x = 180

x = 90

Answer:

You can draw a trapezoid

i hope this helps if you know how to draw the trapezoid you can search on website

Answer:

So, there are seven choices, etc, so the equation is

7x6x7x2

because there are multiple ways

so, 588

Considering the area of the rectangle, it is found that it's width of the rectangle is of 3 inches.

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

A = lw.

In this problem, we have that:

A = 108, l = 6 + 4w.

Hence, using the equation for the area:

lw = 108

(6 + 4w)w = 108

4w² + 6w - 108 = 0

2w² + 3w - 54 = 0

Which is a quadratic equation with coefficients a = 2, b = 3 and c = -54, hence:

[tex]\Delta = b^2 - 4ac = (3)^2 - 4(2)(-54) = 441[/tex]

[tex]x_1 = \frac{-3 + \sqrt{441}}{6} = 3[/tex]

[tex]x_2 = \frac{-3 - \sqrt{441}}{6} = -4[/tex]

Width is a positive measure, hence it is of 3 inches.

More can be learned about the area of a rectangle at https://brainly.com/question/10489198

Answer:

[tex]\frac{1}{28}[/tex]

__________________________________________________________

When doing problems like this where you have to divide fractions by whole numbers, you can try skip counting or multiplying.

So:

[tex]\frac{1/4}{7} = 28[/tex]because it skip counts 28 times.

28 as a fraction is [tex]\frac{28}{1}[/tex], which we have to flip to make [tex]\frac{1}{28}[/tex] as our answer.

__________________________________________________________

Ask in the comments box.

Answer:

D

Step-by-step explanation:

because in D one input value (3) has 2 different assigned output values (0 and -4).

that violates the definition of a function, where every input value must have exactly 1 assigned output value (but the output values themselves don't have to be different for different input values, so, e.g. A is still a function).

The milk can is in the shape of a cylinder.

The surface area of cylinder is defined as the sum of curved surface and the two circular bases of the cylinder;

‎ㅤ‎ㅤ‎ㅤ➙ (curved surface ) + 2(base area )

‎ㅤ‎ㅤ‎ㅤ➙ 2πrh + 2πr²

‎ㅤ‎ㅤ‎ㅤ➙ 2πr( h + r )

Here, in this question we have;

Therefore, Surface Area ( S.A ) :

➝ S.A = 2πr( r + h )

➝ S.A = 2 × π × 1 ( 1 + 6 )

➝ S.A = 2π ( 7 )

➝ S.A = 2 × 3.14 × 7

➝ S.A = 14 × 3.14

➝ S.A = 43.96cm²

Answer:

Surface area of cylindrical milk can is 43.96cm²

Step-by-step explanation:

Given :-

To find:-

Solution:-

formula for surface area cylindrical milk can :-

2πr(h+r)

putting the known values ,

2 × 3.14 × 1 (6+1) cm²

Surface area :- 43.96 cm²

Applying a subtraction operation, it is found that his new ERA was of 3.17.

ERA is a baseball concept, but understanding of baseball is not relevant to this question.

One year, a professional baseball pitcher had a 3.91 ERA. The next year, it was 0.74 points lower, hence it was given by the subtraction of 3.91 and 0.74, that is:

ERA = 3.91 - 0.74 = 3.17.

His new ERA was of 3.17.

More can be learned about subtraction operations at https://brainly.com/question/2475734

Check the picture below.

so, let's get the volume of the prism.

then let's get the volume of the smaller cube.

then let's see how many times the volume of the cube goes into the prism's volume, so in short a division.

[tex]\stackrel{\textit{prism's volume}}{\left( \frac{5}{2} \right)(2)(1)\implies 5~cm^3}~\hfill \stackrel{\textit{cube's volume}}{\left( \frac{1}{2} \right)\left( \frac{1}{2} \right)\left( \frac{1}{2} \right)\implies \frac{1}{8}~cm^3} \\\\[-0.35em] ~\dotfill\\\\ 5\div \cfrac{1}{8}\implies \cfrac{5}{1}\div \cfrac{1}{8}\implies \cfrac{5}{1}\cdot \cfrac{8}{1}\implies 40~~cubes[/tex]

Answer:

At the bottom!

Step-by-step explanation:

I took the quiz! :)

Answer:

k is 23876

Step-by-step explanation:

you have to multiply 254 and 94 by eachothe then that's your answer!

Answer:

30[tex]\sqrt{2}[/tex]

Step-by-step explanation:

The triangle given is a special right triangle with angle measures as follows:

45-45-90

The side lengths for this special triangle is represented with a-a[tex]\sqrt{2}[/tex]-a[tex]\sqrt{2}[/tex]

a represents the side length that sees hypotenuse and it is 30 so x and y

30[tex]\sqrt{2}[/tex]

Answer: 37

Step-by-step explanation:

            range = max - min

max = maximum value in a data set

min = minimum value in a data set

         Maximum value: 57

         Minimum value:   20

                       Range: 37

Answer:

37

Step-by-step explanation:

First of all, let's define what range is. The range is the highest value of a set of numbers minus the lowest value of the same set. In this case, your highest value is 57 and your lowest value is 20. The sum would be 57 - 20 which would equal 37 and that is your answer.

Hope I helped you out :)

Answer:

Step-by-step explanation:

Answer:

520/9 = 57.77....8

Step-by-step explanation:

4x 10/3 x 13/3= 130/9 x4=520/9

Answer:

57 7/9

Step-by-step explanation:

4*4 1/3*4 1/3 = 57 7/9

Answer:

positive interger.....

Step-by-step explanation:

hope it will help you

thank you

Answer:

Step-by-step explanation:

The line y = 3 is a horizontal line.

*View the attached graph*

Hope this helps!