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3 years ago

Distribute and combine like trems.please show your work -7(2× - 4)-7=3(× - 5) + 4x -9

Mathematics

1 answer:

skelet666 [1.2K]3 years ago

7 0

Answer:

-14x +21 = 7x -24

Step-by-step explanation:

We assume your use of the multiplication symbol in this problem (×) is intended to represent the variable x.

The distributive property tells you that the factor outside parentheses multiplies each of the terms inside parentheses:

a(b+c) = ab+ac

Your equation can be simplified as ...

-7(2x -4) -7 = 3(x -5) +4x -9 . . . . given

-7(2x) +(-7)(-4) -7 = 3x +3(-5) +4x -9 . . . . use the distributive property

-14x +28 -7 = 3x -15 +4x -9 . . . . . . . . . . . carry out the multiplication

-14x +21 = x(3+4) -(15 +9) . . . . identify and group like terms on the right*

-14x +21 = 7x -24 . . . . . . . . . . do the arithmetic

_____

* note that the distributive property can also be used to combine terms:

3x +4x = x(3+4) = 7x

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Whats the quotient 2x − 3 x ÷ 7 x2

Pavlova-9 [17]

Answer:

the quotient is another word for division so the quotient in this equation is:

2x − 3 x ÷ 7 x2

6 0

3 years ago

I need the volume for 9,11,and 13

mihalych1998 [28]

Hey there!

<h3>Question 1</h3>

Let's use 3.14 for pi during this. It'll make it a lot easier.

The volume for a cone is $\pi r^{2} \frac{h}{3}$ .

The diameter of this cone is 17.6 inches. Since the radius is half the diameter, we can find the radius by dividing this amount by 2.

17.6 ÷ 2 = 8.8

The height of this cone is 23.4 inches.

Plug the values into the equation.

$\pi 8.8^{2} \frac{23.4}{3}$

Next, square 6.8 and divide 23.4 by 3. Also, replace the pi symbol with 3.14.

$3.14 * 77.44 * 7.8$

Multiply the numbers together.

<u>The volume of this cone is approximately 1896.66 cubic inches.</u>

<h3>Question 2</h3>

Finding the volume of a trapezoidal prism can be done by finding the are of the trapezoidal face and multiplying it by the depth.

Formula for finding the area of a trapezoid is $a = \frac{1}{2} h(b_{1} +b_{2} )$

The two bases are 10 and 34, and the height is 24.7 feet. Put these values into the equation.

$a = \frac{1}{2} 24.7(10 +34 )$

Add 10 and 34, then multiply it by 24.7 and 1/2.

a = 543.4

Multiply that value by 19, which is the depth of the figure.

<u>The volume of the prism is 10324.6 cubic feet.</u>

<h3>Question 3</h3>

The formula for volume of a triangular pyramid is v = 1/3ah, with a the area of the base and h the height.

The formula for the area of an equilateral triangle, which is the base, is $a = \frac{\sqrt{3} }{4} s^{2}$

The length of the side is 12, so we can square that to get 144.

Now multiply that by $\frac{\sqrt{3} }{4}$ to get the area of the base.

The area of the base is about 62.35 square meters.

The height of the pyramid is 20 meters. Plug that and the area of the base into the equation.

v = 1/3 x 62.35 x 20

Multiply the numbers together to get the volume.

<u>The volume of the pyramid is approximately 415.67 cubic meters.</u>

Hope this helps!

3 0

3 years ago

Write the first expression in terms of the second if the terminal point determined by t is in the given quadrant.

Vesnalui [34]

Answer:

Step-by-step explanation:hhhhyg

8 0

3 years ago

A Turing machine with doubly inﬁnite tape is similar to an ordinary Turing machine, but its tape is inﬁnite to the left as wella

atroni [7]

Answer:

Use multitape Turing machine to simulate doubly infinite one

Explanation:

It is obvious that Turing machine with doubly infinite tape can simulate ordinary TM. For the other direction, note that 2-tape Turing machine is essentially itself a Turing machine with doubly (double) infinite tape. When it reaches the left-hand side end of first tape, it switches to the second one, and vice versa.

8 0

3 years ago

HELP !!!!!!!!!!!!!!!!

Fantom [35]

Answer:

∠2 = 51°

Step-by-step explanation:

The sum of supplementary angles = 180°

Equate the sum of the angles to 180 and solve for a

11a + 19 + 6a - 9 = 180

17a + 10 = 180 ( subtract 10 from both sides )

17a = 170 ( divide both sides by 17 )

a = 10

Hence

∠2 = (6 × 10) - 9 = 60 - 9 = 51°

5 0

3 years ago

Distribute and combine like trems.please show your work -7(2× - 4)-7=3(× - 5) + 4x -9​

Distribute and combine like trems.please show your work -7(2× - 4)-7=3(× - 5) + 4x -9