A 12-pack of Cokes costs $5.40. How much does each Coke cost?

Answer:

14(1/2-t)≤28

14(1-2t)/2≤28

14-28t≤28

-28t≤56-14

-28t≤42

t≤42/-28

t≤ -1.5

15k+11≤18k-5

15k-18k≤-5-11

-3k≤-16

k≤-16/-3

k≤-5.333

44y>11+88y-22y

44y>11+66y

44y-66y>11

-22y>11

y>11/-22

y>-0.5

7/9(b-27)>49/81

(7b-180)/9>48/81

81(7b-189)>9(49)

567b>441+15309

567b>15750

b>15750/567

b>27.78

Answer:

1500

Step-by-step explanation:

Step 1: Understand what the question is asking you

It wants to know how much cells do you start off with or in other words how much cells are in the culture when time is 0

Step 2: Set t = 0

[tex]N = 1500(2^{0.18(0)} )[/tex]

Step 3: Solve for N

[tex]N = 1500(2^{0.18(0)} )[/tex]

[tex]N = 1500(2^{0} )[/tex]

[tex]N = 1500(1 )[/tex]

[tex]N = 1500[/tex]

Therefore when the initial amount of cells there in the culture is 1500

Answer:

x = 7, x = 2

Step-by-step explanation:

Given

x² = 9x - 14 ( subtract 9x - 14 from both sides )

x² - 9x + 14 = 0 ← in standard form

(x - 7)(x - 2) = 0 ← in factored form

Equate each factor to zero and splve for x

x - 7 = 0 ⇒ x = 7

x - 2 = 0 ⇒ x = 2

Answer: x = 15

Step-by-step explanation: Since x is multiplied by 3, divide both sides

of the equation by 3 to get x by itself, and show all your work!

Put both sides of the equation over 3

and cancel out the 3's on the left side.

It's tempting to want to show off your

math skills by doing the work in your head.

Don't fall into this trap!

It's extremely important to develop the habit

of writing every step down on paper or digitally.

It will serve you very well for many years.

Answer:

The difference quotient is 4.

Step-by-step explanation:

Given that:

[tex]g(x) = 4x - 1[/tex]

To find:

Difference quotient = ?

where [tex]h \neq 0[/tex]

Solution:

Formula for Difference quotient is given as:

[tex]\dfrac{g(x+h)-g(x)}{h}[/tex]

First of all, let us find out [tex]g(x+h)[/tex]

Replacing [tex]x[/tex] with [tex]x+h[/tex]

[tex]g(x+h) = 4(x+h)-1 \\\Rightarrow g(x+h) = 4x+4h-1[/tex]

Now,

[tex]g(x+h)-g(x) = (4x+4h-1 )-(4x-1)\\\Rightarrow g(x+h)-g(x) = 4x+4h-1 -4x+1\\\Rightarrow g(x+h)-g(x) = 4h[/tex]

Putting the above value in:

[tex]\dfrac{g(x+h)-g(x)}{h} = \dfrac{4h}{h}[/tex]

We are given that, [tex]h \neq 0[/tex]

[tex]\therefore \dfrac{4h}{h} = 4[/tex]

So, the difference quotient is 4.

Answer:

The Distributive Property.

Step-by-step explanation:

1.7(x + 9)

= 1.7 * x + 1.7 * 9

= 1.7x + 15.3.

Answer:

Correct choices are a, b, e

Step-by-step explanation:

As per diagram, the circles are equal.

Since the distance AB is the radius of both circles:

So the answer choices:

a. AC = BC

b. AC = BD

C. CD = AB

d. ABCD is a square

e. ABD is an equilateral triangle

f. CD = AB + AB

Answer:

Step-by-step explanation:

[tex]10^x=3588\\\mathrm{If\:}f\left(x\right)=g\left(x\right)\mathrm{,\:then\:}\ln \left(f\left(x\right)\right)=\ln \left(g\left(x\right)\right)\\\ln \left(10^x\right)=\ln \left(3588\right)\\x\ln \left(10\right)=\ln \left(3588\right)\\\mathrm{Solve\:}\:x\ln \left(10\right)=\ln \left(3588\right):\quad x=\frac{\ln \left(3588\right)}{\ln \left(10\right)}\\\\= 3.55485\\=3.6[/tex]

Answer:

The answer would be 3.6 degrees less than the starting temperature.

Step-by-step explanation:

1.2 * 3 = 3.6

4*3 = 12

3.6/12 hours

Answer:

-11

Step-by-step explanation:

Substarct 2 from -9.

Answer:

-11

Step-by-step explanation:

lets think about it this way, you owe 9, you also owe 2, so altogether you owe 11, which is -11

Answer:

1

Step-by-step explanation:

|x| means the absolute value, which is 4 and -4

Answer:

A

Step-by-step explanation:

So we have the equation:

[tex]|x|=4[/tex]

Solve for x. Use the definition of absolute value:

[tex]|x|=4[/tex]

This means that:

[tex]x=4\text{ or } x=-4[/tex]

And... we're done :)

The answer is A.

Answer:

30

Step-by-step explanation:

2/3 = .6

18/.6 = 30

Answer:

27

Step-by-step explanation:

If you want to divide a fraction, you have to divide it from it's reciprocal.

The reciprocal of 2/3 is 3/2.

Now, you have to multiply 3 and 18

18 x 3/2 = 54/2

54 divided by 2 is 27.

Hope it helped :>

Answer:

Yes

Step-by-step explanation:

Transformation of a two-dimensional shape or pre-image or polygon in mathematics is the manipulation of the two-dimensional object or pre-image or polygon within a system of coordinates or plane.

Transformations are a guide to the nature of the pre-image and image of two dimensional shape as it is translated within a system of coordinates

Rigid transformations are those that does not involve a change in the size of the pre-image, and includes reflections, rotations, and translations

Therefore, the line undergoes rigid transformation and the dimensions of the line is preserved making it still a line segment.

Bruhhh, I think we got to the same online school XD

Answer

4.4×10^4

For converting a number into scientific form just bring the decimal after the first non zero digit and write it with multiplier 10 raising to the number of places you moved the point

Step-by-step explanation:

Answer:

6x-4

Step-by-step explanation:

Answer:

-4-6x

Step-by-step explanation:

you would just combine -2 and 3 so you get 1 and then you would get 1-(5-6x) and you can just take away the parenthesis since in this case it doesn't matter and when you simplify that you get -4-6x

Answer:

C. Since she wants to be a nurse she'd go into the health and technology field.

Step-by-step explanation:

TSA  - Technology Student Association or Transportation Security Administration

DECA  - Defense Commissary Agency

HOSA  - Health Occupations Students of America

FEA​ - ?

Answer:

C. HOSA

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

So we have the equation:

[tex]3(x+14)=42[/tex]

Divide both sides by 3:

[tex]x+14=14[/tex]

Subtract 14:

[tex]x=0[/tex]

The value of x is 0

Answer: x=0

Step-by-step explanation:

Given

3(x+14)=42

Distributive property

3x+42=42

Subtract 42 from both sides

3x=0

Divide 3 on both sides

x=0

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

Given

3(x+14)=42

Divide 3 on both sides

x+14=14

Subtract 14 on both sides

x=0

Both ways are fine

Hope this helps!! :)

Answer:

Quadrilateral

Four

Parallel

Four

Right

Congruent

Rhombus

Opposite

Connected

Step-by-step explanation:

Answer: -25/8

Step-by-step explanation:

Answer:

The sum of -3/2-7/4+1.8 = -3.125

Answer:

[tex]\frac{941}{999}[/tex]

Step-by-step explanation:

Let x = 0.941941........

Three digits are repeating. So, multiply both side by 1000

1000x = 941.941941......       (I)

       x =      0.941941....... (II)  {subtract equation (II) from (I)  }

 999x = 941

x = 941/999

Answer:

y=1.5x

Step-by-step explanation:

Step 1: State what you know

Pineapples are 1.50 per pound

X represents how many pounds of pineapples you want to buy

Y represents how much do 'x' amount of pineapples cost in dollars

Step 2: Write the equation

y (the price of 'x' pounds of pineapple)=1.5(the cost of a pineapple)x(how many pounds of pineapples you bought)

Therefore the equation that represents the problem is y=1.5x

Answer:

y=1.5x

Step-by-step explanation:

Answer:

Increases by a factor 8.

Volume = 685.12.

Step-by-step explanation:

The volume will increase by a factor of 2^3 , because the volume is 3 dimensional.

That is the new volume = 85.64 * 8

= 685.12.

Answer:

either 3 1/2 or 7/2

Step-by-step explanation:

4 is equal to 8/2

8/2 minus 1/2 is 7/2

7/2 can be simplified to be 3 1/2

Answer:

5^3 and (-4)^2

Step-by-step explanation:

A^b means a is the base and b is the exponent

Answer:

[tex]\Huge \boxed{\mathrm{12.67 \ s}}[/tex]

Step-by-step explanation:

[tex]\displaystyle power \ (W) = \frac{work \ done \ (J)}{time \ (s)}[/tex]

[tex]\displaystyle P= \frac{W}{t}[/tex]

[tex]\displaystyle 15= \frac{190}{t}[/tex]

Solve for t.

Multiply both sides by t.

[tex]15t =190[/tex]

Divide both sides by 15.

[tex]\displaystyle t= \frac{190}{15}[/tex]

[tex]t \approx 12.67[/tex]

[tex] \bf \underline{ \underline{given : }}[/tex]

[tex]\bf \underline{ \underline{To \: be \: calculated : }}[/tex]

Calculate the time ?

[tex]\bf \underline{ \underline{

Formula \: applied :}}[/tex]

[tex] \boxed{ \bf{Power = \frac{Work \: done}{Time} }}[/tex]

[tex]\bf \underline{ \underline{Solution : }}[/tex]

We know,

[tex]\sf {Power = \dfrac{Work \: done}{Time}}[/tex]

[tex] \sf{ Time = \dfrac{Work \: done}{Power } }[/tex]

Substituting the values of work and power, we get:

[tex] \sf \implies{Time = \dfrac{190}{15} }[/tex]

[tex] \sf\implies{Time = 12.66 \: s}[/tex]

Thus,the time taken by a body is 12.66 seconds.

Answer:

$384

Step-by-step explanation:

Original price = $ 400

Increased price  = 20% of 400

                           = [tex]\frac{20}{100}[/tex] * 400

                           = $  80

Price after increase = 400 + 80 = $ 480

Decreased price  = 20% of 480

                             = [tex]\frac{20}{100}\\[/tex] * 480

                            = $ 96

Price after decreasing 20% = 480 - 96 = $ 384

Final price of the toy = $ 384

Answer:

first of all i need to know the fractions and answer choices to answer this question.

It is possible to draw a quadrilateral with one pair of congruent consecutive sides

A quadrilateral has four sides

The four sides can be congruent or not congruent

However, when a pair of consecutive sides are congruent, then the quadrilateral is a square

Hence, the statement is yes

Read more about quadrilaterals at:

https://brainly.com/question/22254043

#SPJ2

Answer:

z+9(8−x)+8(z+8)=

z+72-9x+8z+64=

9z-9x+136

(3−10)^2−(5−12)^2     parenthesis first

(-7)²-(-7)²=

49-(49)=49-49=0

2^2⋅4^3      exponent first

2*2*4*4*4

4*64=256