A 12-pack of soda costs $6.30 what is the cost per can

Answer:

y-intercept, when x = 0, y = -6

x-intercept, when y = 0, x = 6

Step-by-step explanation:

y-intercept, when x = 0, y = -6

x-intercept, when y = 0, x = 6

Answer:

(3x + 5)(9x^2 - 15x + 25)

Step-by-step explanation:

27x^3 + 125

= (3x)^3 + 5^3

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

= (3x + 5)(9x^2 - 15x + 25)

FYI: a³ + b³ = (a + b)(a² – ab + b²)

Answer:

(3x + 5)(9x² - 15x + 25)

Step-by-step explanation:

This is given in the form : a³ + b³

Identity :

Solving :

Answer:

29

Step-by-step explanation:

87 / 3 = 29

If you can use a calculator it shouldn't be on brainly...

Answer:

Algebraic Expressions

This calculator builds algebraic expressions based on word representations of numbers using the four operators and the words that represent them(increased,product,decreased,divided,times) Also known as Mathematical phrases

Factorials

Calculates the following factorial items:

* A factorial of one number such as n!

* A factorial of a numerator divided by a factorial of a denominator such as n!m!/a!b!

* Double Factorials such as n!!

* Stirlings Approximation for n!

Step-by-step explanation:

Ty pa follow narin po brainly and thank you for the points

Answer:

20.58 (21)

Step-by-step explanation:

5127/250 = 20.58

if the coils are only be imported in full form your gonna need 21

Answer:

21 cables

Step-by-step explanation:

Because the cables come in 250-foot coils, you cannot have a piece of one cable. So, if you take the total amount of cable you need (5,127 feet) and divide it by how long a single cable is (250 feet).

5,127 divided by 250 is 20.508, but you cannot have a piece of one cable. So, you round up to the nearest whole number, 21.

Answer:

1/2

Step-by-step explanation:

First square area = 4cm^2, thus the side length is 2cm

Second square area = 16cm^2, thus the side length is 4cm

This gives a ratio of 2/4, simplifying yields 1/2

Answer:

Step-by-step explanation:

#hope it helps!

Answered by ReyvREYV111

Check the picture below.

[tex]2x+15~~ = ~~\cfrac{(10x+20)-80}{2}\implies 4x+30=10x-60 \\\\\\ 4x+90=10x\implies 90=6x\implies \cfrac{90}{6}=x\implies \boxed{15=x} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{the whole circle is}}{z + 80 + (10x+20)}~~ = ~~\stackrel{degrees}{360}\implies z+80+[10(15)+20]~~ = ~~360 \\\\\\ z+250=360\implies \blacktriangleright~~ z=110 ~~\blacktriangleleft[/tex]

If the value of x is 15 degrees. Then the measure of the arc z will be 110 degrees.

It is the centre of an equidistant point drawn from the centre. The radius of a circle is the distance between the centre and the circumference.

The diagram is shown below.

[tex]\rm 2x + 15 = \dfrac{10x + 20 - 80 }{2}[/tex]

Then the value of x will be

4x + 30 = 10x - 60

       6x = 90

          x = 15

Then the value of (10x + 20) will be

(10x + 20) = 10 × 15 + 20

(10x + 20) = 150 + 20

(10x + 20) = 170

Then the measure of the arc z will be

z + 170 + 80 = 360

z = 110

More about the circle link is given below.

https://brainly.com/question/11833983

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Answer:

2(length) +2(width)=perimeter

2(3(width))+2(width)=72

8×width=72

width=9

length=3×9=27

area=27×9

247=area

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

mean: 4.5

median: 1,1,4,4,5,5,8,8

mode: 4.5

Answer:  The answer is 30 inches.

Answer:

36

Step-by-step explantion:
1 x 1 = 1 so each cube is 1 square inch

2 x 6= 12

12 x 3 = 36

Answer:

( -2 , 0 ) , (1 , 0 ) , (-2 , 3 )

I'm pretty sure on this!

Answer:

A

Step-by-step explanation:

I think it's A hope that helps

Answer:

a) mean = 1.42 occupant/car

b) standard deviation = 0.89 occupants

c) median = 1 occupant

d) The proportion of cars had more than the mean number of occupants is 0.24

e) The proportion of cars with the number of occupants more than one

standard deviation greater than the mean is 0.11

f) The proportion of cars with the number of occupants within one standard

deviation of the mean is 0.89

Step-by-step explanation:

Attached work:

Answer:

GCF

Step-by-step explanation:

sorry if you dont understand

Answer:

Step-by-step explanation:

Given:

To Find:

Solution:

Let's assume :

We know that,

[tex]\: \: \dashrightarrow\sf \: \: \: Length \times Width = Area_{(Rectangle)} \\ \\ [/tex]

On Substituting the required values, we get:

[tex] \\ \: \: \dashrightarrow\sf \: \: \:(2x+ 4)(x) = 126 \\ \\ \\ \: \: \dashrightarrow\sf \: \: \:2 {x}^{2} + 4x = 126 \\ \\ \\ \: \: \dashrightarrow\sf \: \: \:2 {x}^{2} + 4x - 126 =0 \\ \\ \\ \: \: \dashrightarrow\sf \: \: \:2( {x}^{2} + 2x - 63) = 0 \\ \\ \\ \: \: \dashrightarrow\sf \: \: \: {x}^{2} + 2x - 63 = 0 \\ \\ \\ \: \: \dashrightarrow\sf \: \: \: {x}^{2} - 7x + 9x - 63 = 0 \\ \\ \\ \: \: \dashrightarrow\sf \: \: \:x(x - 7) + 9(x - 7) \\ \\ \\ \: \: \dashrightarrow\sf \: \: \:(x - 7)(x + 9) = 0 \\ \\ \\ \: \: \dashrightarrow\sf \: \: \: \purple {x = 7 \: or \: - 9} \\ \\ [/tex]

Length of the side of the rectangle can't be negative. So, x = 7

Hence,

Answer:

       length = 18 m

       width  = 7 m

Step-by-step explanation:

       Let the width of the rectangle = w m

                                            Length = ( 2w + 4) m

Area of rectangle = 126 square meters

length * width     = 126

 (2w + 4) * w        = 126

     2w² + 4w       = 126

     2w² + 4w - 126 = 0

Divide the entire equation by 2

        w² + 2w - 63  = 0

        Sum  = 2

    Product = -63

   Factors  =  9 , (-7)        { 9 +(-7) = 2  & 9*(-7) = -63}

w² +  9w - 7w - 63 = 0       {rewrite the middle term using the factors}

w( w + 9) - 7(w + 9) =0

        (w +9)(w - 7)  = 0

{Ignore w +9 = 0, as measurement will not come in negative}

w - 7 = 0

       w = 7

length = 2w + 4

           = 2*7 + 4

           = 14 + 4

            = 18

Answer:

C. f(3)=27

Step-by-step explanation:

f(3)=-4(3-6)+15

f(3)=-4(-3)+15

f(3)=12+15

f(3)=27

Answer:

a

20cm squared

b

18cm

c

5cm

d

80cm

Step-by-step explanation:

a

Area is height multiplied by length in a regular quadrilateral

b

Perimeter is calculated by adding all the sides together

c

0.5 is effectively halving, so instead of 4 multiplied by 5 it is 2 multiplied by 2.5

d

2 is effectively doubling, so instead of 4 multiplied by 5 it is 8 multiplied by 10

Answer:

Step-by-step explanation:

Q1(a)

Q1(b)

Q1(c)

Q1(d)

Answer:

5) 3x = 135° and x = 45°

6) (8x + 5) = 61° and (3x + 8) = 29°

Step-by-step explanation:

5) supplementary of two angles whose sum is 180°

3x + x = 180 → 4x = 180

4x / 4 = 180 / 4

x = 45

3x = 3(45)

135°

6) complimentary of two angles whose sum is 90°

(8x + 5) + (3x + 8) = 90 → 11x + 13 = 90

11x + 13 - 13 = 90 - 13

11x = 77

11x / 11 = 77 / 11

x = 7

(8x + 5) = 8(7) + 5

56 + 5 = 61

(3x + 8) = 3(7) + 8

21 + 8 = 29

Answer:

9

Step-by-step explanation:

Y intercept when x = 0

Y = 9

where m is slope and b is y-intercept

Hence,

Here given equation: y = ½ x + 9

Identify,

slope: ½ and y-intercept: 9

Answer:

Option #4: [tex]4\left(x+8\right)-10\ge 42[/tex]

Step-by-step explanation:

[tex]4\left(x+8\right)-10\ge 42[/tex]

x ≥ 5

Answer:

4th option

Step-by-step explanation:

the inequality shows x ≥ 5

solving the inequalities

- 7(3x - 7) + 21 ≥ 50

- 21x + 49 + 21 ≥ 50

- 21x + 70 ≥ 50 ( subtract 70 from both sides )

- 21x ≥ - 20

divide both sides by - 21 reversing the symbol as a result of dividing by a negative quantity , then

x ≤ [tex]\frac{20}{21}[/tex] ← not the required solution

--------------------------------------------------

- 4(- x + 8) - 10 ≤ 8

4x - 32 - 10 ≤ 8

4x - 42 ≤ 8 ( add 42 to both sides )

4x ≤ 50 ( divide both sides by 4 )

x ≤ 12.5 ← not the required solution

--------------------------------------------------

- 7(3x - 7) + 21x ≥ - 50

- 21x + 49 + 21x ≥ - 50 ( subtract 49 from both sides )

0 ≥ - 99 ← not the required solution

-----------------------------------------------------

4(x + 8) - 10 ≥ 42

4x + 32 - 10 ≥ 42

4x + 22 ≥ 42 ( subtract 22 from both sides )

4x ≥ 20 ( divide both sides by 4 )

x ≥ 5 ← Required solution

Answer:

The total is 130 apples.

Step-by-step explanation:

If the ratio of green to red apples is 2:3 and there is a total of 78 red apples, we can divide 78/3 which is 26. Since this is 1/3 of 78 we can multiply that by 2 to get 52 which is 2/3 of 78 which is the total amount of green apples. We dont stop here however. The question askes for the total amount of apples so we att 52 and 78 to get 130 which is the total amount of apples.

78/3 = 26

26*2 = 52

52+78 = 130

Answer:

yes

Step-by-step explanation:

3.4% = .034

.034 x 45 = 1.53

1.53$ + 45$ = 46.53$

46.53$ > 50

yes, he dose have enough money

Answer:

option A is the answer of given question 12 less than its greater than 48

If the function is y = 4.5x. Then the rate of change of the function expressed as a unit rate will be 4.5.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

A bike rental company charges a fee per hour.

The charge, in dollars, is the same each hour.

The ordered pairs (3, 13.50) and (5, 22.50) represent the corresponding hours, x, and cost, y.

Then the linear equation is given as

[tex]\begin{aligned} \rm y - 22.5 &= \rm \dfrac{22.5 - 13.5}{5 - 3} (x- 5)\\\\\rm y - 22.5 &= \rm 4.5x - 22.5\\\\\rm y &= \rm 4.5x \end[/tex]

Then the rate of change of the function expressed as a unit rate will be

[tex]\rm \dfrac{dy}{dx} = \dfrac{d}{dx} (4.5x )\\\\\dfrac{dy}{dx} = 4.5[/tex]

More about the linear system link is given below.

https://brainly.com/question/20379472

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The reason why the advertisement misleading is: Number of size which is 20 is a very sample size to make this conclusion valid.

Advertisement can be defined as the process of creating awareness about a product so as to increase sales.

Based on the given scenario the advertisement is misleading based on the following reasons:

Therefore The reason why the advertisement misleading is: Number of size which is 20 is a very sample size to make this conclusion valid.

Learn more about advertisement here:https://brainly.com/question/1658517

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Hope this helps, so sorry if I am wrong!

Answer:

A ≈ 1313.19

Step-by-step explanation:

By using the formula [tex]A = 2 \pi r h + 2 \pi r^{2}[/tex] we can just fill in the information with what we know, which is Diameter = 22, Radius = Diameter/2 = 11. The height is 8. So in doing so we get [tex]A = 2\pi (11)(8)+2\pi (11)^{2}[/tex], which
equals ≈ [tex]1313.18573[/tex].

Expand f(z) into partial fractions:

[tex]\dfrac1{z(z-2)} = \dfrac12 \left(\dfrac1{z-2} - \dfrac1z\right)[/tex]

Recall that for |z| < 1, we have the power series

[tex]\displaystyle \frac1{1-z} = \sum_{n=0}^\infty z^n[/tex]

Then for |z| > 2, or |1/(z/2)| = |2/z| < 1, we have

[tex]\displaystyle \frac1{z-2} = \frac1z \frac1{1 - \frac2z} = \frac1z \sum_{n=0}^\infty \left(\frac 2z\right)^n = \sum_{n=0}^\infty \frac{2^n}{z^{n+1}}[/tex]

So the series expansion of f(z) for |z| > 2 is

[tex]\displaystyle f(z) = \frac12 \left(\sum_{n=0}^\infty \frac{2^n}{z^{n+1}} - \frac1z\right)[/tex]

[tex]\displaystyle f(z) = \frac12 \sum_{n=1}^\infty \frac{2^n}{z^{n+1}}[/tex]

[tex]\displaystyle f(z) = \sum_{n=1}^\infty \frac{2^{n-1}}{z^{n+1}}[/tex]

[tex]\displaystyle \boxed{f(z) = \frac14 \sum_{n=2}^\infty \frac{2^n}{z^n} = \frac1{z^2} + \frac2{z^3} + \frac4{z^4} + \cdots}[/tex]