What is the solution to 4 x + 6 less-than-or-equal-to 18?

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Answer:

448

Step-by-step explanation:

Every 9 hours, mold doubles

Started with 14 spores

In 9 hours, 14+14= 28 spores

In 18 hours, 28+28=56 spores

In 27 hours, 56+56=112 spores

In 36 hours, 112+112=224 spores

In 45 hours, 224+224=448 spores

We want to write an equation for an exponential growth that represents the change in the population of mold.

The answer is: "After 45 hours, there would be__448__spores.​"

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

We know that a given type of mold doubles every 9 hours.

So if you start with a quantity A of spores, after 9 hours there are:

2*A spores.

After another 9 hours (for a total of 18 hours) the population is:

(2^2)*A spores.

You already could see the pattern.

After x hours, the number of spores will be given by:

p(x) = A*(2)^(x/9)

Now we want to know how many spores are there after 45 hours, if the initial amount is 14 spores.

So we need to replace:

Then we want to compute:

p(45) = 14*(2)^(45/9) = 448

From this, we can conclude that after 45 hours there will be 448 spores.

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Answer:

Step-by-step explanation:

Let b = bagels , d = donuts

Rasha bought 4 plain bagels and 2 chocolate donuts for a total of $8.70

We can write this as :

4b + 2d = 8.70

Scott bought 3 chocolate donuts for $2.55

3d = 2.55

First, let's find out the cost of 1 donut.

To do this, divide 2.55 by 3.

1d = 2.55/3 =0.85  (1 donut costs $0.85)

Substitute the value of d ( d = 0.85 ) into the equation 4b + 2d = 8.70

4b + 2d = 8.70

4b + 2 (0.85) = 8.70

4b + 1.7 = 8.70

Subtract 1.7 from both sides.

4b = 8.70 - 1.7

4b = 7

Divide both sides by 4 to find how much one bagel costs.

b = 7/4 = 1.75

Therefore, one bagel costs $1.75

Step-by-step explanation:

Hi, it seems the question is not complete, therefore I'll create an example tailored to the concept of the question you are asking.

1. Cumulative property can be used to change the order of addends and the result remains the same. Therefore the law states that, if a and b are real numbers, then a + b = b + a

Think about adding two numbers, such as 7 and 2.

7 + 2 = 9

2 + 7 = 9

The results are the same.

Notice, the order in which we add does not matter.

2. Associative property, this can be used to regroup addends and the result remains the same: the law states that, if a, b and c are real numbers, then

(a + b) + c = a + (b + c).

Think about three numbers, 4, 3 and 2

(4 + 3) + 2 = 7 + 2 = 9

4 + (3 + 2) = 4 + 5 = 9

The results are the same, notice that the regrouping did not change the final result.

Answer:

Thank You This Helped Alot!

Answer:

63

Step-by-step explanation:

8 / 32 = 0.25

Multiply 0.25 with 252

0.25 * 252 = 63

This process simply applies the same ratio from the first test to the second test.

Answer:

B: Distinct lines

Step-by-step explanation:

If you go to desmos graphing calculator add put the equations in you can see they never interesct

Answer:

B) distinct parallel lines

Step-by-step explanation:

First, place both equations in slope-intercept form:

y + 6 = [tex]-\frac{1}{3}[/tex] (x - 15)

y + 6 = -1/3x + 5

y = -1/3x - 1

2x + 6y = 24

6y = -2x + 24

y = -2/6x + 4

y = -1/3x + 4

Because they have the same slope and different y-intercepts, they are parallel.

Answer:

slope: 4/5

y-intercept: (0,4)

slope intercept form: y = 4/5 x + 4

Step-by-step explanation:

to find the slope, you have to find the difference of the x coordinants and the difference of the y coordinants. since the two coordinants we have are 0,4 and 5,0 and we know that 0 - 5 is -5 and 0 - 4 is -4 we then have to divide the two. so now we get -4/-5. since a negative divided by a negative is a positive, the negative signs cancel out. since the fraction is in simplest form, that is our answer. also, since its rise over run, it means that everytime you go up or down 4 and over 5, you will reach a whole number on the graph.

okay, now the y-intercept is when the line crosses the y-axis/when x=0. the y-intercept for this example would be 4 or (0,4). i hope that makes sense. like i said ill get back to you on the slope thing in a minute just a second...

Answer:

Im gonna go with b not 100% tho

Step-by-step explanation:

Answer:

20 mph

Step-by-step explanation:

To find miles per hour you divide the number of miles by the number of hours

(7 1/2)/(3/8) = (15/2)(8/3) = 20 mph

Answer:

60°

140°

Step-by-step explanation:

From the given figures,

 a. we use the concept of alternate angles.

   Two parallel lines cut by a transversal will have equal alternate angles;

  So;

       6x + 12 = 7x + 4

    collect like terms and solve for x;

     6x - 7x = 4 - 12

         -x = -8

         x = 8

Now, 6x + 12 = 6(8) + 12

                     = 48 + 12

                     = 60°

b. Here we use alternate angles and angles on a line;

     4x is an alternate angle to that angle to the left of 13x + 10

And sum of angles on a line = 180

    4x + 13x + 10 = 180

        17x = 170

          x = 10

Now,  13x + 10 = 13(10) + 10 = 140°

Answer:

hello

Step-by-step explanation:

Slope, sometimes referred to as gradient in mathematics, is a number that measures the steepness and direction of a line, or a section of a line connecting two points, and is usually denoted by m. Generally, a line's steepness is measured by the absolute value of its slope, m.

m = slope

Answer:

40.5

Step-by-step explanation:

Since there's no converting, you can just divide 607.5 by 15 to get the answer

Answer:

h < 2

Step-by-step explanation:

Given

5(2h + 8) < 60 ( divide both sides by 5 )

2h + 8 < 12 ( subtract 8 from both sides )

2h < 4 ( divide both sides by 2 )

h < 2

Answer:

h<2

Step-by-step explanation:

5(2h+8)<60

2h+8<12

2h<4

h<2

Answer:

c < 1

Step-by-step explanation:

less than is <

c < 1

Answer:

y – 3 = 2(x – 10)

Step-by-step explanation:

Hope this helps!!!

Answer:

50 miles per hour

Step-by-step explanation:

Divide 100 by 2

50

Hope this helped :)

Answer:

She made an average of 145$ per day.

Step-by-step explanation:

If she earned 725$ in 5 days, just divide 725 by 5 for your average a day.

Answer:

no

Step-by-step explanation:because 117% would be 1.17  and 50/33 is 1.5151...

The fraction can be converted into percentage by multiplying it by 100. The given fraction is not equivalent to 117%.

A percentage is a value that indicates hundredth part of any quantity.

To convert percentage into a fraction it is divided by 100.

The given fraction is 50 / 33

In order to check whether the given fraction is equal to 117%, convert the given fraction to percentage by multiplying it by 100 as follows,

(50 / 33) × 100%

=  50 × 3.33%

=  166.5%

Thus, the given fraction is not equal to 117%.

Hence, 50 / 33 and 117% are not equivalent.

To know more about percentage click on,

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Answer:

7512 minutes

Step-by-step explanation:

313 students each completed a 24 minute session.  Which would be

313 · 24 = 7512

hope this helps... please amkr brainliest answer if correct:)

Answer: 85%

Step-by-step explanation:  

It all adds up to a total of 85 cents, and since there are 100 cents in a dollar, 85 cents equals 85% of a dollar.

Hope that helps!

Answer: QR = 6 units

Step-by-step explanation:

QR + RS = QS

2x + x + 7 = 16

3x = 9

x = 3

QR = 2x = 2*3 = 6

Answer:

6. Miles  [tex]{}[/tex]     cientos       decenas      unidades

  4   [tex]{}[/tex]              9                5               6

7. Catalina podrá hacer un cuadrado con longitud lateral de 4 cartones

8. 45000000 = 4.5 × 10⁶

0.000000000000056 = 5.6 × 10¹⁴

0.000000000034 = 3.4 × 10¹¹

Step-by-step explanation:

6. Los valores posicionales de dígitos son;

Miles  [tex]{}[/tex]     cientos       decenas      unidades

4   [tex]{}[/tex]              9                5                   6

7. El número de cuadrados que tiene Fernando = 12

El número de cuadrados que tiene Catalina = 16

El largo y el ancho de un cuadrado son iguales, por lo tanto tenemos;

largo × ancho = Área del cuadrado

largo = ancho = lado del cuadrado

Lado del cuadrado × Lado del cuadrado = Área del cuadrado

(Lado del cuadrado) ² = Área del cuadrado

Lado del cuadrado = √ (Área del cuadrado)

Para Fernando, Área del cuadrado = 12

Lado del cuadrado para Fernando = √12 = 2 · √3 cartones

Para Catalina, Área del cuadrado = 16

Lado del cuadrado para Catalina = √16 = 4 cartones

Por tanto, Catalina podrá realizar un cuadrado con longitud lateral de 4 cartones

8. 45000000 = 4.5 × 10⁶

0.000000000000056 = 5.6 × 10¹⁴

0.000000000034 = 3.4 × 10¹¹

Answer:

4/15

Step-by-step explanation:

because 1/5÷3/4=4/15

Answer:

Given h(x) = -x + 2, find h(4).

Step-by-step explanation:

Answer:

Graph A

Step-by-step explanation:

Because the inequality is

[tex] \leqslant or \geqslant [/tex]

it means the line will be solid, not dashed. Also, because the y variable is on the less than side of the equation, it means the shaded are will be under the line.

9514 1404 393

Answer:

Step-by-step explanation:

y is proportional to x when it satisfies the equation ...

  y = kx

where k is the constant of proportionality. The equation can be solved for k by dividing by x:

  k = y/x

The value of k for the given relation is ...

  k = (320 mL)/(20 s)

  k = 16 mL/s . . . the constant of proportionality

Then the equation is ...

  y = 16x