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Marizza181 [45]

2 years ago

8

What is the answer to 4x+2(2)=16

2 answers:

Ann [662]2 years ago

7 0

4x+2(2)=16

4x+4=16
-4 - 4

4x=12
————
4

x=3

azamat2 years ago

6 0

Answer:

3

Step-by-step explanation:

Isolate the variable, (x). Note the equal sign, what you do to one side, you do to the other.

First, multiply.

4x + 2(2) = 16

4x + 4 = 16

Next, isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. First, subtract, then divide.

Subtract 4 from both sides.

4x + 4 (-4) = 16 (-4)

4x = `16 - 4

4x = 12

Next, divide 4 from both sides.

(4x)/4 = (12)/4

x = 12/4

x = 3

3 is your answer for x.

~

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Answer: 27434

Step-by-step explanation:

Given : Total number of vials = 56

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The number of combinations of m thing r things at a time is given by :-

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$^{13}C_2\cdot ^{43}C_{1}+^{13}C_{1}\cdot ^{43}C_{2}+^{13}C_0\cdot ^{43}C_{3}\\\\=\dfrac{13!}{2!(13-2)!}\cdot\dfrac{43!}{1!(42)!}+\dfrac{13!}{1!(12)!}\cdot\dfrac{43!}{2!(41)!}+\dfrac{13!}{0!(13)!}\cdot\dfrac{43!}{3!(40)!}\\\\=\dfrac{13\times12\times11!}{2\times11!}\cdot (43)+(13)\cdot\dfrac{43\times42\times41!}{2\times41!}+(1)\dfrac{43\times42\times41\times40!}{6\times40!}\\\\=3354+11739+12341=27434$

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2 years ago

Read 2 more answers

URGENT!!!!<br> Please add workings out

Artist 52 [7]

Answer: 26.457 cm

Explanation:

First, the height of an equilateral triangle of side length a is:

$h = \frac{\sqrt{3} }{2}*a$

In this case, the side-length of the triangles is a = 10cm, then the height will be:

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Now we can think on a triangle rectangle such that:

Point A and point F are vertexes of the triangle.

The line we want to find, the line from A to F, is the hypotenuse.

One cathetus is a the height of the triangle, that comes down from point A, the length of this cathetus is 8.66cm

The other cathetus is equal to half the side length of the triangles (5cm) plus the segments BD and DF (of 10cm each)

Then the length of this cathetus is 10cm + 10cm + 5cm = 25cm

Now, we can remember the Pythagorean theorem.

If H is the hypotenuse, and A and B are the catheti, then we have:

A^2 + B^2 = H^2

In this case, we know the length of both cathetus, and want to know the length of the hypotenuse, then:

(25cm)^2 + (8.66cm)^2 = H^2

√( (25cm)^2 + (8.66cm)^2) = H = 26.457 cm

Then the line from A to F is 26.457 cm

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2 years ago