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sashaice [31]
3 years ago
9

What is the LCM OF 4, 8 and 16

Mathematics
2 answers:
sleet_krkn [62]3 years ago
8 0
I think the answer is 2
shutvik [7]3 years ago
4 0

Answer:

16

Step-by-step explanation:

Write the multiples of each number

4:  4,8,12,16

8: 8,16,24,32

16: 16,21,48

The smallest one that is in all three is 16

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NEED ASAP plz. I will also mark brainiest! Don't just take points, I will report you.
PilotLPTM [1.2K]

Part A:

You may choose the two lines connecting the origin and points A and B, and choose the portion of the space between them.

The line between the origin and A is

y = 3x

We want everything below this line (line included), so the first inequality is

y \leq 3x

The line between the origin and B is

y = \dfrac{1}{3}x

We want everything above this line (line included), so the second inequality is

y \geq \dfrac{1}{3}x

Create a system with these two inequalities and you'll have an area including only points A and B

Part B:

To verify the solutions, we can plug the coordinates of A and B in this system and check that we get something true: the coordinates of point A are (1,3), while the coordinates of point B are (3,1). The system becomes:

A:\begin{cases}3 \leq 3\cdot 1\\3 \geq \frac{1}{3}\cdot 1\end{cases},\quad B:\begin{cases}1 \leq 3\cdot 3\\1 \geq \frac{1}{3}\cdot 3\end{cases}

Which means

A:\begin{cases}3 \leq 3\\3 \geq \frac{1}{3}\end{cases},\quad B:\begin{cases}1 \leq 9\\1 \geq 1\end{cases}

And these are all true. So, the system is satisfied, which means that the points belong to the shaded area.

Part C

If you draw the line, you'll see that the only points that lay below the line are B and C. In fact, if we plug the coordinates we have

B:\ 1

And this are both true. You can check the coordinates of all other points, and see that they won't satisfy the inequality y<3x-6

3 0
2 years ago
After 3 minutes, a submarine had descended to −320 feet. After 8 minutes, the submarine had descended to −420 feet. Assuming a l
LiRa [457]

Answer:

d(t) = -20t - 260

Step-by-step explanation:

The depth function is:

d(t) = mt + b

After 3 minutes, a submarine had descended to −320 feet.

This means that d(3) = -320. So

d(t) = mt + b

-320 = 3m + b

After 8 minutes, the submarine had descended to −420 feet.

This means that d(8) = -420. So

d(t) = mt + b

-420 = 8m + b

From the first equation:

b = -320 - 3m

So

-420 = 8m + b

-420 = 8m - 320 - 3m

5m = -100

m = \frac{-100}{5}

m = -20

And

b = -320 - 3*(-20) = -260

So

d(t) = -20t - 260

7 0
3 years ago
the sides of a triangle are in the ratio 3: 4: 5 what is the lenghth of each side if the perimeter of the triangle is 90cm
ehidna [41]

3x+4x+5x=90

combine like terms

12x = 90

divide by 12

x = 7.5

sides: 3(7.5) ,4(7.5) ,5(7.5)

    22.5, 30, 37.5

6 0
3 years ago
<img src="https://tex.z-dn.net/?f=x%5E%7B2%7D%20-36%5Cfrax%2B5%2F%28x%2B6%29" id="TexFormula1" title="x^{2} -36\frax+5/(x+6)" al
zhannawk [14.2K]

the answer is

x^{2}-31x+5b

6 0
2 years ago
consider the formula F=NM/P, where F represents the fertility of the soil. N represents the amount of nutrients in the soil. M r
Ahat [919]

The options are missing, so i have attached it.

Answer:

Measurement unit for F = (Nutrients • Moisture)/Pollutants.

Option C is correct

Step-by-step explanation:

From the question, we are given the formula; F = NM/P

where;

N is the amount of nutrients in the soil

M is the amount of moisture in the soil.

P is the amount of pollutants in the soil

From the definition of the terms above, the units of the can be expressed as;

N = nutrients

M = moisture

P = pollutants

Thus, the measurement unit for fertility is;

F = NM/P = (Nutrients • Moisture)/Pollutants

6 0
3 years ago
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