What is the most efficient way to solve this equation?
18c = 108


Divide both sides by 18


Multiply both sides by 108.


Multiply the left side by 18.


Divide both sides by c.

Please don’t guess :(

Answer: n=1.25x

Step-by-step explanation:

X represent the number of yards and n represent the total amount

The function which shows the fabric with a price of $1.25 per square yard will be y = 1.25x where x represents square yard and y represent the price of fabric.

A certain kind of relationship called a function binds inputs to essentially one output.

A function can be regarded as a computer, which is helpful.

The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.

In other words, the function is a relationship between variables, and the nature of the relationship defines the function.

Given that the

Price of fabric = $1.25/ yard

Let's say the price of fabric = y

Square yard = x

Then y = 1.25x so it will be the correct answer.

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Answer:

1) 2 months

Step-by-step explanation:

y = 950x + 600

y = 1100x + 300

950x + 600 = 1100x + 300

-950x -950x

____________________ subtract slope from both sides

600 = 150x + 300 ( doesn't matter which one)

-300 - 300

____________________ subtract

300 = 150x

_________ Divide each # with the slope

150 = 150

2 = x

____________Answer 2_____________

Answer:

The Resort Complex would save you 300.

step-by-step solution:

you have to do is plug in the number of months.

then multiply

then subtract both Complexes

and compare

The Resort Complex. : y = 950(6) + 600 - 6300

The uptown suite duplex : y = 1100(6) + 300 - 6900

HOPE THIS HELPS!

Answer:

Option A. 56

Step-by-step explanation:

The question talks about chosing 5 presenters out of 8 presenter.

This can be achieved b using the following formula:

nCr = n! /r! (n–r)!

n = 8

r = 5

8C5 = 8! / 5! (8 – 5)!

8C5 = 8! / 5! 3!

8C5 = (8 x 7 x 6) / (3 x 2 x 1)

8C5 = 56

Therefore, there are 56 ways in which the teacher can chose the presenters.

Answer: Choice A

Step-by-step explanation:

Answer:

182

Step-by-step explanation:

2( \frac{1}{2} \times 4 \times 6 ) + 2( 5 \times 10 ) + ( 6 \times 10 )

= {182cm}^{2}

The area of a 2D form is the amount of space within its perimeter. The total surface area of the prism is 184 cm².

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

The surface area is the sum of the area of the 5 faces of the triangular prism, therefore, we can write,

Surface area = sum of the Area of the rectangular faces + 2(Area of the triangle base)

Now, the Area of a rectangular face is,

Area = (5cm × 10cm) + (5cm × 10cm) + (6cm × 10cm)

        = 160 cm²

The area of the triangle base,

Area = 0.5 × 4cm × 6cm = 12 cm²

Further, the total area of the Prism will be,

Total surface area = 160cm² + 2(12cm²) = 184cm²

Hence, the total surface area of the prism is 184 cm².

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Answer:

d, 700

Step-by-step explanation:

it's the only one that makes sense

Answer:

The correct option is B:

B) x superscript five-thirds Baseline y superscript one-third

Step-by-step explanation:

The expression can be written as:

[tex]\sqrt[3]{x^5y}[/tex]

We know that cube root can also be written as the power of 1/3, So

[tex]\sqrt[3]{x^5y} = (x^5y)^{1/3}[/tex]

Multiplying the power with both variables

[tex](x^5y)^{1/3} = x^{5\cdot1/3}\cdot y^{1\cdot1/3}[/tex]

Simplifying the equation to get final form

[tex]x^{5\cdot1/3}\cdot y^{1\cdot1/3} = x^{5/3}\cdot y^{1/3}[/tex]

As we can see that it is similar to the option B which is

B) x superscript five-thirds Baseline y superscript one- third

the correct option is B

The expression which is equivalent to RootIndex 3 StartRoot x Superscript 5 Baseline y EndRoot is;

The expression can be written as;

[tex] \sqrt[3]\frac{{ {x}^{5} } }{y} [/tex]

In essence, Upon simplification; we have;

Therefore, we have;

The expression therefore becomes;

[tex] \frac{ {x}^{ \frac{5}{3} } }{ {y}^{ \frac{1}{3} } } [/tex]

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Answer:

Add the exponents

Step-by-step explanation:

Product Rule: am ∙ an = am + n, this says that to multiply two exponents with the same base, you keep the base and add the powers.

EX:

x multiplied by  x^5=x^6

Answer:

We add them

But for negative values we always keep the negative value as a decrease.

4 x -4 as powers still becomes -8

and not -16

Step-by-step explanation:

The exponent "product rule" tells us that, when multiplying two powers that have the same base, you can add the exponents. In this example, you can see how it works. Adding the exponents is just a short cut! The "power rule" tells us that to raise a power to a power, just multiply the exponents.

2^4 x 3^-4 = 16/81 shows and proves we multiply them and just use adding as a short cut.

Answer:

x = 93

Step-by-step explanation:

Given

<QSR = 35

<SRQ = 58

<SQP = x

Required

Find x

To find the value of x, a triangle needs to be drawn (See attachment).

From the attachment;

<SQP + <SQR = 180 ----------Angle on a straight line (Equation 1)

<SQR + <QSR + <SRQ = 180 ----------- Sum of angles in a s triangle (Equation 2)

Substitute <QSR = 35 and <SRQ = 58 in equation 2

<SQR + 35 + 58 = 180

<SQR + 93 = 180

Subtract 93 from both sides

<SQR + 93 - 93 = 180 - 93

<SQR = 87

SUbstitute 87 for <SQR in Equation 1

<SQP + 87 = 180

Subtract 87 from both sides

<SQP + 87 - 87 = 180 - 87

<SQP = 93

Recall that <SQP = x

So, x = 93

Answer:

x = 93

Step-by-step explanation:

cuz it is

Answer:

1. c

i think its right i hope it is im so sorry if it is not

What is a slope?

The slope or gradient of a line is a number that describes both the direction and the steepness of the line. It is denoted my letter 'm'

                                               y = m x + c

m is the slope

Given data ,

Let the point be P ( x , y ) = P ( 0 , 7 )

Slope m of line = 1 / 6

The equation of line where the point P ( 0 , 7 ) and slope 1/6 is calculated by

y = m x + c

Substitute the values of x and y in the equation , we get

7 = ( 1/6 ) × 0 + c

So , c = 7

Therefore , the equation becomes y = ( 1 / 6 ) x + 7

Hence , the graph of the equation can be described

Answer:

B. y= 3x -14

Step-by-step explanation:

To find the equation of a line that is parallel  to the line y = 3x - 4 and passe

through the point (4,-2), we will follow the steps below;

Equation of a line is y=mx + c

where m is the slope and c is the intercept

To find the slope of the new equation, we will compare y =mx + c and y=3x - 4

The slope of the equation y = 3x-4 is 3

line that are parallel have the same slope, so the slope of the new equation is also m = 3

To find the intercept, we will substitute x=4,  y = -2 and m =4 into the formula y =mx + c then solve for c

That is;

y = mx + c

-2 = 3(4) + c

-2 = 12 + c

subtract 12 from both-side of the equation

-2-12 = 12-12 + c

-14 = c

c= -14

we can now substitute m and c into the formula to form the new equation

y = mx + c

y = 3x -14

Answer:

6 bags

Step-by-step explanation:

8x3=24

24/4=6

Answer: B. (-2, -1)

Step-by-step explanation:

(-2, -1) has a y-coordinate (-1) closer to 0 than the rest of the y-coordinates. And 0 would be turning point in this equation.

Answer:

b

Step-by-step explanation:

Answer:

length x width x 6 = 90

area of shaded face = 15

The area of the shaded region is 15 square cm.

The space occupied by a flat shape or the surface of an object is called area.

[tex]Area = lb[/tex]

Where,

l is the length of the rectangle.

b is the breadth of the rectangle.

A volume is simply defined as the amount of space occupied by any three-dimensional solid.

volume = length × breadth × height

According to the given question.

We have,

Height of the cuboid  = 6cm

Volume of the cuboid = 90 cubic cm.

⇒ length × breadth × height = 90

⇒ length × breadth × 6 = 90

⇒ length × breadth = [tex]\frac{90cm^{2} }{6cm}[/tex]

⇒ length × breadth = 15 square cm....(i)

Since, the area of shaded region = length × breadth

From (i)

Length × breadth = 15 square cm .

Hence, the area of the shaded region is 15 square cm.

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Answer:

Can you take a picture of the question so i could help!

Step-by-step explanation:

Step-by-step explanation:

12 x 2 = 24 + x = 24x - 6 = 18x

Hope This Is Correct For You

Answer:

Congratulations!

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Statement                                         Reason

ab = bd                                               Given

ac=cd                                                  Given

bc = cb                                                definiton of reflex line

triangle abc is congruent to triangle dbc      side side side postulate

Answer: It has been very long since I did geometry but, the triangles are definitely congruent.

Step-by-step explanation:

I do not know the congruency statement but I can tell you why. First of all, those red lines on the triangles indicate that two sides of both triangles are congruent to each other. Lastly, both of them share one line which means, all lines are congruent to each other.

∠ABC=∠DBC

I hope this helps :)

Answer:

y = -1

Step-by-step explanation:

Answer: 6a. 3 1/3, 6b. 2 2/5, 6c. 1/4, 6d. 9/10

Step-by-step explanation: You can use math/way or Soc/ratic to find the answers. Math/way is a website, Socr/atic is an app.

Answer:

0.24

Step-by-step explanation:

Answer:

A'(7,3), B'(11,7) and C'(9,5).

Step-by-step explanation:

The vertices of given triangle are A(4,5), B(8,9), and C(6,7).

Given rule of translation is

[tex](x,y)\rightarrow (x+3,y-2)[/tex]

We need to find the vertices of triangle A'B'C'.

Now,

[tex]A(4,5)\rightarrow A'(4+3,5-2)=A'(7,3)[/tex]

[tex]B(8,9)\rightarrow B'(8+3,9-2)=B'(11,7)[/tex]

[tex]C(6,7)\rightarrow C'(6+3,7-2)=C'(9,5)[/tex]

Therefore, the vertices of triangle A'B'C' are A'(7,3), B'(11,7) and C'(9,5).

Answer:

a = - 2, b = - 1

Step-by-step explanation:

If a polynomial f(x) is divisible by (x + h) then f(- h) = 0

P(x) is divisible by (x + 1), thus P(- 1) = 0 , that is

P(- 1) = (- 1)³ + a(- 1)² - b + 2 = 0 , that is

- 1 + a - b + 2 = 0

a - b + 1 = 0 ( subtract 1 from both sides )

a - b = - 1 → (1)

P(x) is divisible by (x - 2) thus P(2) = 0 , that is

P(2) = 2³ + a(2)² + 2b + 2 = 0 , that is

8 + 4a + 2b + 2 = 0

4a + 2b + 10 = 0 ( subtract 10 from both sides )

4a + 2b = - 10 → (2)

Solve (1) and (2) simultaneously

Multiply (1) by 2

2a - 2b = - 2 → (3)

Add (2) and (3) term by term eliminating the term in b

6a = - 12 ( divide both sides by 6 )

a = - 2

Substitute a = - 2 into (1) and solve for b

- 2 - b = - 1 ( add 2 to both sides )

- b = 1 ( multiply both sides by - 1 )

b = - 1

Answer:

x=-3

Step-by-step explanation:

\left(5^3\right)^2\cdot 5^{x+4}=5^7

Apply\:exponent\:rule

x+10=7

x=-3

Answer:

x = -3

Step-by-step explanation:

(5^3)^2 · 5^(x+4) = 5^7

First of all, we simplify (5^3)^2. When you have an exponent in parentheses that is raised to another exponent that is outside the parentheses, you multiply the exponents.

(5^3)^2 = 5^(3·2) = 5^6

We cannot simplify 5^(x+4) or 5^7 any further, so our equation is now:

5^6 · 5^(x+4) = 5^7

We can divide 5^6 from both sides to get:

5^(x+4) = (5^7)/(5^6)

When exponents of like terms are divided we can subtract the exponents.

5^(x+4) = 5^(7-6)

5^(x+4) = 5^1

This last part is a bit trickier. When exponents of like terms are multiplied we add the exponents. We can use this knowledge to determine that 5^(x+4) is made up of 5^x · 5^4. Now we have:

5^x · 5^4 = 5^1

We can divide both sides by 5^4.

5^x = (5^1)/(5^4)

We simplify the right side by the same way we did earlier when we divided exponents:

5^x = 5^(1-4)

5^x = 5^-3

We can see that x = -3, but using logarithms, we can finish isolating x. Taking the log base 5 of both sides, we get:

x = log₅(5^-3)

If you don't already know, log₅(5^-3) means what exponent do you raise 5 to in order to get 5^-3. After stating it like this, we can clearly see that log₅(5^-3) equals -3.

So x = -3

Another way we could have solved the logarithm is by using one of the laws of exponents. In this case, we would use logₐ(x^y) = y(logₐm). This would give us:

x = -3(log₅5)

x = -3(1)

x = -3

Either way works.

Answer:

Positive Correlation

Step-by-step explanation:

The Points on the graph are increasing upward, which would make this a positive correlation.

Hey!!

1 and 2 are vertical angles.

Vertically opposite angles are always equal to each other.

Hope it helps..

Answer:

D

Step-by-step explanation:

Answer:

x=-2

hope this helped

Answer:

15

Step-by-step explanation:

The length of the arc in its simplest form will be 138.16 units.

Let r is the radius of the sector and θ be the angle subtended by the sector at the center. Then the arc length of the sector of the circle will be

Arc = (θ/2π) 2πr

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

In a circle with a radius of 22, an angle measuring 2π radians intercepts an arc.

Then the length of the arc in the simplest form will be given as,

Arc = (2π/2π) 2π (22)

Arc = 44 x 3.14

Arc = 138.16 units

The length of the arc in its simplest form will be 138.16 units.

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Answer:

C

Step-by-step explanation: