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love history [14]
3 years ago
6

Which quantity makes the equation true? x + 3x + _______ = 7x

Mathematics
2 answers:
Svetlanka [38]3 years ago
6 0

Answer:

Step-by-step explanation:

C)  3X

sladkih [1.3K]3 years ago
3 0

Answer: C. 3x

Step-by-step explanation:

Since x and 3x both have x, you can add them together to get 4x (if there is x by itself, it really means that there is one of it, so it would be 1x.)

Then, you subtract 7x by 4x, which gives you the answer, 3x. You could also solving it by asking yourself: What number plus 4x equals 7x, which would give you 3x.

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3. A)Find the next number in the sequence.
USPshnik [31]

9514 1404 393

Answer:

  1/3; geometric

Step-by-step explanation:

Apparently, your sequence is ...

  81, 27, 9, 3, 1, ...

The differences between these numbers vary, but the ratio of each to the one before is a constant:

  27/81 = 9/27 = 3/9 = 1/3

The sequence is geometric with a common ratio of 1/3. The next number in the sequence is (1)(1/3) = 1/3.

7 0
3 years ago
You have used the Distributive Property totransform numerical expressions such as (5)(3) +(2)(3) to (5 + 2)(3). How would you tr
barxatty [35]

We have the expression

5x+2x

We have to convert the expression in a single-term expression. We apply the distributive property:

5x+2x=(5+2)\cdot x=7x

b) We have to substitute five different values into the expressions 5x+2x and 7x-1.

The first expression is equal to 5x+2x=7x.

We then can predict that the difference between 7x and 7x-1 is 1.

For example, for x=2, we have 7x=7*2=14 and 7x-1=7*2-1=14-1=13.

We can calculate if the two expressions can be equal, we write:

\begin{gathered} 5x+2x=7x=7x-1 \\ 7x=7x-1 \\ 7x-7x=-1 \\ 0=-1\longrightarrow\text{False} \end{gathered}

There is no value that can make both expressions equal.

Both equations have a difference of 1 for any value of x.

8 0
2 years ago
In ΔCDE, the measure of ∠E=90°, DE = 39 feet, and CD = 89 feet. Find the measure of ∠C to the nearest degree.
Nonamiya [84]
It’s 64.4 :)
i just did it lolz
8 0
3 years ago
Read 2 more answers
Grayson is flying a kite, holding his hands a distance of 2.75 feet above the ground and letting all the kite’s string play out.
sergiy2304 [10]

The position of the kite with the point directly beneath the kite at the same

level with the hand and the hand for a right triangle.

  • The height of the kite above the is approximately <u>66.314 feet</u>.

Reasons:

The height of his hands above the ground, h = 2.75 feet

Angle of elevation of the string (above the horizontal), θ = 26°

Length of the string, <em>l</em> = 145 feet

Required:

The height of the kite above the ground.

Solution:

The height of the kite above the ground is given by trigonometric ratios as follows;

\displaystyle Height \ of \ kite, \, k_h = \mathbf{h + l \times sin(\theta)}

Therefore;

\displaystyle Height \ of \ kite, \, k_h = 2.75 + 145 \times sin(26^{\circ}) \approx \mathbf{66.314}

The height of the kite above the, k_h ≈ <u>66.314 feet</u>

Learn more about trigonometric ratios here:

brainly.com/question/9085166

8 0
3 years ago
Write down an (in)equality which describes the solid ball of radius 2 centered at (-2, 5, 2). It should have a form like ????2 ?
MissTica

\text{We know that the euation of the sphere with radius r and centered at (h,k,l)}\\&#10;\text{is given by:}\\&#10;\\&#10;(x-h)^2+(y-k)^2+(z-l)^2=r^2\\&#10;\\&#10;\text{here we have given a solid ball of radius 2 centered at }(-2, 5,2), \text{ so the }\\&#10;\text{region of the ball will be all the area within the ball.}\\&#10;\text{Hence the inequality that will describe the ball is give given by}

(x-(-2))^2+(y-5)^2+(z-2)^2\leq 2^2\\&#10;\\&#10;\Rightarrow (x+2)^2+(y-5)^2+(z-2)^2\leq 4\\&#10;\\&#10;\text{hence the required inequality that describes the ball is:}\\&#10;\\&#10;(x+2)^2+(y-5)^2+(z-2)^2-4\leq 0

6 0
4 years ago
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