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3 years ago

Fifteen more than a number is written as...?

Mathematics

2 answers:

soldi70 [24.7K]3 years ago

8 0

Answer:

x+15

Step-by-step explanation:

Since it says "than a number"

What number is it?

We don't know.

We will say thats a variable.

What variable?

Well it really can be anything. ONLY LETTERS

Lets do a x

Now the problem changed.

Fifteen more than x is written as...?

It says "more"

You use plus.

Now the problem changed.

Since is written as... is your answer so yeah

15+x is the problem.

There you go the answer!

People writes the variable first so:

x+15

The answer is x+15

frozen [14]3 years ago

3 0

Answer:

x + 15

Step-by-step explanation:

Since I don't know what this number is, I'm going to use the variable x to substitute for the value of the unknown number.

So it would just be x + 15 because addition is the operation of adding and the key words are usually more. Since one of the numbers is unknown, we can't get an answer like "100" because x is undefined.

Say x=100, then the number would be written as 115 in it's simplest form but you could also write it as 100+15. So I'm just using substitution.

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A bacteria culture starts with 660 bacteria and grows at a rate proportional to its size. After 6 hours there will be 3960 bacte

scoray [572]

Answer:

a) $P(t) = 660 e^{\frac{ln(6)}{6} t}$

b) $P(t=3) = 660 e^{\frac{ln(6)}{6}*3} = 1616.663 \approx 1617$

Step-by-step explanation:

For this case we have the following info:

$P(0) = 660$ represent the initial amount of bacteria

$P(6) = 3960$ represent the population of bacteria after 6 hours

Part a

For this case we use the proportional model given by:

$\frac{dP}{dt}= kP$

Where P represent the population at time t and k is a constant of proportionality.

We can rewrite the model like this:

$\frac{dP}{P} = k dt$

And if we integrate both sides we got:

$ln |P|= kt + C$

Now if we apply exponential we got:

$P = e^{kt +c}= e^{kt} e^C$

$P(t)= P_o e^{kt}$

For this case using the initial condition:

$660 = P_o e^{0k}, P_o = 660$

We have the following model:

$P(t) = 660 e^{kt}$

Using the second condition $P(6) = 3960$ we have this:

$3960 = 660e^{6k}$

We can divide both sides by 660 and we got:

$6= e^{6k}$

Now we can apply natural log on both sides and we got:

$ln (6)= 6k$

$k = \frac{ln(6)}{6}=0.2986265782$

So then the model would be given by:

$P(t) = 660 e^{\frac{ln(6)}{6} t}$

Part b

For this case we just need to replace t=3 into the model and we got:

$P(t=3) = 660 e^{\frac{ln(6)}{6}*3} = 1616.663 \approx 1617$

4 0

3 years ago

Solve for x: 3(x + 1) = 2(x − 1)

gavmur [86]

Answer:

x= -5

Step-by-step explanation:

3x+3=2x-2

3x-2x=-3-2

x=-5

8 0

3 years ago

Read 2 more answers

The width of a rectangle is 4 inches less than its length. The perimeter of the rectangle is 12 inches what is the width

Snezhnost [94]

Let the length is x and the width is y
x - y = 4 .........(1) 2x + 2y = 12
x + y = 6........(2)
by adding 1 and 2
2x =10 , x = 5
y = 1 inch

3 0

3 years ago

Calculate the size of angle B with working I WILL MARK YOU AS BRAINLIEST

sleet_krkn [62]

Answer:

i don't know

Step-by-step explanation:

3 0

3 years ago

As an artist, Ernest is doing a solo show titled CUBES. One of his pieces is shown below. Each layer of the piece is a cube. The

mariarad [96]

Answer:

The total surface area of the cube, including the bottom is

22 m squared.

Step-by-step explanation:

a) Data and Calculations:

Side length = 3 m

Side height = 2 m

Side width = 1 m

The total surface area of the cube, including the bottom is given by the formula, 2lw+2lh+2hw), where l = length, w = width, and h = height.

This can also be rewritten as:

2(l*w + l*h + h*w)

= 2 (3*1 + 3*2 + 2*1)

= 2 (3 + 6 + 2)

= 2 (11)

= 22

b) Ernst should know that the surface area of a cube is the sum of the areas of all faces (or surfaces) because it is a 3D shape. Since the cuboid has 6 rectangular faces, Ernest can determine the surface area by adding the areas of all 6 faces or surfaces. Similarly, he can label the length as (l), width as (w), and height as (h) and use the formula, SA=2lw+2lh+2hw, to find the surface area. This formula can also be rewritten as 2(l*w + l*h + h*w).

4 0

3 years ago