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mixer [17]
2 years ago
11

Whats 3(x + 2) = 21?show work please !!​

Mathematics
2 answers:
Arturiano [62]2 years ago
8 0

Answer:

x = 5

Step-by-step explanation:

You first have to multiply 3 by x and 2, and you would get 3x and 6. 3(x + 2)=3x +6

Then you have to move the 6 to the other side and it will become negative. 3x= -6 +21

Then you subtract 21-6 to get 15. 3x = 15

Then you are left with 3x = 15.

Divide 3 from both sides and you get x =5.

dybincka [34]2 years ago
5 0

Answer:

x=5

Step-by-step explanation:

3(x+2)=21

3x+6=21

3x+6-6=21-6\\\\3x=15\\\\\frac{3x}{3}  = \frac{15}{3} \\\\x=5

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4. The length of a rectangle is one more than twice the width. The area is 105 in?.
Zanzabum

9514 1404 393

Answer:

  7 in

Step-by-step explanation:

For width w in inches, the length is given as 2w+1. The area is the product of length and width, so we have ...

  A = LW

  105 = (2w +1)w

  2w^2 +w -105 = 0

To factor this, we're looking for factors of -210 that have a difference of 1.

  -210 = -1(210) = -2(105) = -3(70) = -5(42) = -6(35) = -7(30) = -10(21) = -14(15)

So, the factorization is ...

  (2w +15)(w -7) = 0

Solutions are values of w that make the factors zero:

  w = -15/2, +7 . . . . . negative dimensions are irrelevant

The width of the rectangle is 7 inches.

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2 years ago
Factor 2x 2 - 10x - 12.
lana [24]
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5 0
3 years ago
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Write a paragraph proof.
worty [1.4K]
It is given that line segment BC is congruent to line segment EC and that line segment AC is congruent to DC. Because of the vertical angles theorem, angle BCA is equal to angle DCE. Therefore, triangles CBA AND DEC are congruent by SAS. Using CPCTC, BA is equal to ED.
8 0
3 years ago
What is the experamental probability that the coin lands on heads?
sammy [17]

Answer:

The experamental probability that the coin lands on head is 50 %

Step-by-step explanation:

Given:

Experiment:

A coin is Toss

Let the Sample Space be 'S' that is total number of outcomes for a coin has been tossed = { Head, Tail }

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Let A be the event of getting a Head on tossing a coin i.e  { Head }

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Now,

\textrm{Probability} =\frac{\textrm{outcomes for the experiment}}{\textrm{total number of outcomes}}

Substituting the values we get

P(A) = \frac{n(A)}{n(S)} \\\\P(A) = \frac{1}{2} \\\\P(A) = 0.5\\\\P(A) = 50\%

The experamental probability that the coin lands on head is 50 %

5 0
3 years ago
Determine the intercepts of the line <br> The x and y intercepts please help
Anna007 [38]

Answer:

See below in bold.

Step-by-step explanation:

As we see from the diagram the x -intercept ( where the line intercepts the horizontal x-axis) is (3, 0) and the y-intercept is  (0, -10).

5 0
3 years ago
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