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VMariaS [17]
2 years ago
8

Use the associative property write an equivalent expression. (5 + 7) + x =

Mathematics
1 answer:
Firdavs [7]2 years ago
6 0
<h3>Answer:</h3>

5+(7+x)

<h3>Step-by-step explanation:</h3>

Finding an Equivalent Expression

The associative property of addition states that you can move the terms that are inside the parentheses and still have the expression remain true. So, in the answer above, I moved 5 out of the parentheses and x into the parentheses. No matter the value of x the value of the expression will remain the same

Examples and Proof

Another example of the associative property could be (1+6)+3 = 1+(6+3). To prove this statement we can evaluate each side of the expression.

First, let's do (1+6)+3

  • (1+6)+3
  • (7)+3
  • 10

Next, let's do 1+(6+3)

  • 1+(6+3)
  • 1+(9)
  • 10

As you can see both of these expressions are the same, thus proving that the associative property works in this situation.

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What is the solution to the equation 3x - 8 = 22? x = 10 x = 8 x = 6 x = 0 please i'll give out 20 points i need it now
Sedaia [141]

Answer:

x = 10

Step-by-step explanation:

Step 1: Write equation

3x - 8 = 22

Step 2: Add 8 to both sides

3x = 30

Step 3: Divide both sides by 3

x = 10

5 0
3 years ago
Solve AABC. Round your answers to the nearest hundredth, if necessary
Aloiza [94]

Answer:

C=25^{\circ},\\a\approx 10.72,\\b\approx 11.83

Step-by-step explanation:

The sum of the interior angles of a triangle is 180 degrees. Thus, angle C must be 180-90-65=25^{\circ}.

In any triangle, the Law of Sines is given by \frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}.

Therefore, we have:

\frac{\sin 90^{\circ}}{b}=\frac{\sin 25^{\circ}}{5},\\\\b=\frac{5\sin90^{\circ}}{\sin 25^{\circ}}=11.8310079158\approx \boxed{11.83}

\frac{a}{\sin 65^{\circ}}=\frac{5}{\sin25^{\circ}},\\a=\frac{5\sin 65^{\circ}}{\sin25^{\circ}}=10.7225346025\approx \boxed{10.72}

8 0
3 years ago
Need some help just can’t understand
allochka39001 [22]

Answer:

Positive I think

8 0
3 years ago
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A spherical ball with a volume of 972π in.3 is packaged in a box that is in the shape of a cube. The edge length of the box is e
aivan3 [116]
To find the volume of the box you will use the volume of the sphere formula to find the radius of the circular region of the sphere. You wil then double the radius to find the diameter.

V = 4/3 x pi x r^3
972 x pi= 4/3 x pi x r^3
729 = r^3
The cubic root of 729 is 9 because 9 x 9 x 9 = 729.

The radius is 9 inches, and the diameter is 18 inches.

The volume of the box is 18 in x 18 in x 18 in or 5832 in.³.
4 0
3 years ago
What is the domain for the piece of the function represented by f(x) = x + 1?
love history [14]

Answer:

All real numbers

Step-by-step explanation:

The domain of the function represented by f(x) = x + 1 is the all real numbers as there is only addition involved in the function so putting any number as input will not lead the function to infinity.

6 0
3 years ago
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