Rachel's birthday party will cost $18 if she invites 6 guests. What is the unit rate?

Answer:

[tex]y = \sqrt{\frac{x- a}{2b}}[/tex]

Step-by-step explanation:

Step 1:  Make y the subject of this formula

[tex]x- a = a - a - 2by^{2}[/tex]

[tex]\frac{x- a}{2b} = \frac{2by^{2}}{2b}[/tex]

[tex]\sqrt{\frac{x- a}{2b}} = \sqrt{y^{2}}[/tex]

[tex]\sqrt{\frac{x- a}{2b}} = y[/tex]

Answer:  [tex]y = \sqrt{\frac{x- a}{2b}}[/tex]

Answer:

Step-by-step explanation:

6 ÷ (⅔) = 6 × (3/2) = 9

There are nine ⅔-cup servings per pitcher.

Answer:

8 Minutes

Step-by-step explanation:

since we are trying to find how many minutes have passed we first need to find how much substance was used during the time. we can do that by subtracting the leftover substance from the amount we started with.

666-562 = 104

Now that we know how much substance was used we can then use our conversion rate (13 per minute) and find how many minutes have passed by dividing.

104 / 13 = 8

Answer:

hope it helps plz mark me brainliest!

Step-by-step explanation:

4x² - 3, x less than/equal to 0

Step-by-step explanation:

y = (-1/2)[(x+3)^½]

(x+3)^½ = -2y

Square both sides,

(x+3) = (-2y)²

x+3 = 4y²

x = 4y²-3

Interswitch x and y

Inverse is 4x²-3

Domain of inverse is the range of f.

The range of f is less than/equal to 0

Because at x = -3, f(x) = 0

For x > -3, f(x) is negative

Domain of inverse is x less than/equal to 0

Answer:

6pi=2pi(r)(120/360)

r=9

C=(pi)d

C=(pi)18

c=18pi

Step-by-step explanation:

Answer:

Step-by-step explanation:

The measurement of AC = 6pi

120/360 * pi * 2 * R = 6*pi                The pi values cancel out.

1/3 * 2 * R =  6                                    Multiply by  3

2R = 18                                               Divide by 2

R = 9

the circumference = 2 * pi * R

C = 2 * pi *9

C = 18 * pi

Now you want the measurement of arc AB

120 = 6 * pi

30 = x

120/30 = 6pi/x            Cross multiply

120 * x = 180 * pi         Divide by 120

x = 180 pi / 120

x = 3/2 * pi

So the measurement of arc AB = 1.5 * pi

Answer:

Step-by-step explanation:

Convert mixed fraction to improper fraction.

[tex]4\frac{1}{2}[/tex] ÷ [tex]1\frac{1}{4} =[/tex] [tex]\frac{9}{2}[/tex] ÷ [tex]\frac{5}{4}[/tex]

In fraction division, Use KCF method

K - Keep the first fraction

C - Change the ÷ operation to  * operation

F - Flip the second fraction

  [tex]= \frac{9}{2}*\frac{4}{5}\\\\= \frac{9}{1}*\frac{2}{5}\\\\=\frac{18}{5}\\\\= 3\frac{3}{5}[/tex]

Answer:

? =30

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin ? = 25/50

Taking the inverse sin of each side

sin ^-1( sin ?) = sin^-1 ( 1/2)

? =30

Answer:

It always pass through the origin.(0,0)

Answer:

Step-by-step explanation:

v(x) - W(x) = x² + 2x  - 4 - [x³ + 2x² + x + 5]

                = x² + 2x - 4 - x³ - 2x² -x - 5

                = x² - 2x² - x³ + 2x - x -4 - 5

               =  -x² - x³ + x - 9

Answer:

x³ - 3x² + x - 9

Step-by-step explanation:

V(x) - W(x) =

- x² + 2x - 4 - (- x³ + 2x² + x + 5) ← distribute parenthesis by - 1

= - x² + 2x - 4 + x³ - 2x² - x - 5 ← collect like terms

= x³ - 3x² + x - 9

Answer:

[tex]y = -0.25x -1.5[/tex]

Step-by-step explanation:

Given

[tex](x,y) = \{(-12,1.5)(-1,-1.25),(5,-2.75),(8,-3.5)\}[/tex]

Required

The function rule (in slope intercept)

First, we calculate the slope (m) using:

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

This gives:

[tex]m = \frac{-1.25 -1.5}{-1 - -12}[/tex]

[tex]m = \frac{-2.75}{11}[/tex]

[tex]m = -\frac{2.75}{11}[/tex]

[tex]m = -0.25[/tex]

The equation is then calculated using:

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

This gives:

[tex]y = -0.25(x - -12) + 1.5[/tex]

[tex]y = -0.25(x +12) + 1.5[/tex]

Open bracket

[tex]y = -0.25x -3 + 1.5[/tex]

[tex]y = -0.25x -1.5[/tex]

Answer:

=> 12πr²

Step-by-step explanation:

The Surface area of sphere is 4πr²

so the surface area of sphere with radius 3x will be

=> 4×3πr²

=> 12πr²

Step-by-step explanation:

some of your answer options were not copied well in here.

so, I tell you the right information and how would sure it, and you need to pick the right option on your end :

the inequality is

5x + 3 <= 28

and based on that

5x <= 25

x <= 5

he can spend $5 or less on each sandwich.

first send the fox alone to the other side then send the corn, the fox wont eat the corn so that should be fine then lastly go with the farmer and the chicken, hope this helps!

Answer:

Cos Θ= 21/34

Θ=cos^-1(21/36)

= 54°

OAmalOHopeO

Answer:

x = -17

Step-by-step explanation:

7(2x + 3) = 12x - 13

Distribute

7*2x +7*3 = 12x-13

14x +21 = 12x-13

Subtract 12x from each side

14x-12x+21 = 12x-12x-13

2x+21 = -13

Subtract 21 from each side

2x+21-21 = -13-21

2x = -34

Divide by 2

2x/2 = -34/2

x = -17

Answer:

E. None of these

Step-by-step explanation:

Using the angle 43, we see that we will use Cos to find x.

This is because the sides are the adjacent and the hypotenuse

Cos (43) = 14/x

Multiply both sides by x

X (cos (43)) = 14

Then divide both sides by (cos(43))

x = 14 / cos(43)

Plug it into the calculator you get:

x = 25.22

Since this is not an answer choice, the answer is E. None of these

Answer:

[tex]x \geqslant 1[/tex]

Step-by-step explanation:

[tex] \sqrt{x + 6 - 7} = \sqrt{x - 1} \\ \\ x - 1 \geqslant 0 \\ x \geqslant 1[/tex]

Answer:

FS = 48

Step-by-step explanation:

The distance from the vertex to the centroid is twice the distance from the centroid to the midpoint, so

FB = 2 BS = 2 × 16 = 32

Then

FS = FB + BS = 32 + 16 = 48

Answer:

4·x² + 24·x = 45

Step-by-step explanation:

The total area of the frame and picture needed by the photographer = 80 in²

The size of the picture that will be in the frame = 5 × 7 inch

The length of the picture = 7 inches

The width of the picture = 5 inches

Let x represent the width of the frame, we get;

The width of the total area = The width of the picture + 2 × The width of the frame

Therefore, the width of the total area = 5 + 2·x

The length of the total area = The length of the picture + 2 × The width of the frame

Therefore, the length of the total area = 7 + 2·x

We get;

The total area = Total length × Total width

∴ The total area = (5 + 2·x) × (7 + 2·x)

We are given that the total area = 80, therefore, by transitive property of equality, we have;

(5 + 2·x) × (7 + 2·x) = 80

35 + 10·x + 14·x + 4·x² = 80

4·x² + 24·x = 80 - 35 = 45

∴ 4·x² + 24·x = 45

Therefore, the quadratic equation that can be used in solving for the width is 4·x² + 24·x = 45.

Answer:

The answer is 4x^2+24x=45

Step-by-step explanation:

I got it right on my test.

Answer:

x=136

Step-by-step explanation:

Answer:

since b is 348421 and we are looking for b21 it is 348421(12)

Answer:

7

Step-by-step explanation:

Thing about centroids is they create segments that are spilt with one piece [tex]\frac{1}{3}[/tex] and the larger piece [tex]\frac{2}{3}[/tex] .

So, if the whole segment is 21, then the large piece is [tex]\frac{2}{3}[/tex] of 21. The small piece is [tex]\frac{1}{3}[/tex] of 21.

TE = 21 · [tex]\frac{1}{3}[/tex] = [tex]\frac{21}{3}[/tex] = 7

Answer:

See below.

Step-by-step explanation:

1/(x + 1) consists of 1 factor, 1/(x + 1)

1/[a(x + 1)] consists of two factors, 1/a and 1/(x + 1)

The LCM is 1/[a(x + 1)]

The LCD is a(x + 1)

Answer:

4

Step-by-step explanation:

x=3

x2 means 3 square (+3)

3×3+3

=9+3

12÷3

4

Step-by-step explanation:

w

Answer:

(7, - 5 )

Step-by-step explanation:

A is positioned at (7, - 5 )

Answer:

From the graph, when x=-6, y=1

so, your answer is A) f(x)=∛(x-6)+1

OAmalOHopeO

Given:

The amount of money in Joel’s account is:

[tex]j(x)=25+3x[/tex]

The amount of money in Kevin’s account is:

[tex]k(x)=15+2x[/tex]

To find:

The function that correctly represents how much more money, in dollars, is in Joel’s account than in Kevin’s account x weeks after the start of the year.

Solution:

We need to find the difference between the function j(x) and function k(x).

[tex]j(x)-k(x)=(25+3x)-(15+2x)[/tex]

[tex](j-k)(x)=25+3x-15-2x[/tex]

[tex](j-k)(x)=(25-15)+(3x-2x)[/tex]

[tex](j-k)(x)=10+x[/tex]

Therefore, the correct option is D.