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Nikitich [7]
2 years ago
13

Identify the value of x that makes each pair of ratios equivalent. 2:x and 12:18

Mathematics
1 answer:
m_a_m_a [10]2 years ago
7 0

Given:

Two ratios 2:x and 12:18 are equivalent.

To find:

The value of x.

Solution:

We have,

2:x\equiv 12:18

It means,

\dfrac{2}{x}=\dfrac{12}{18}

2\times 18=12\times x

36=12x

Divide both sides by 12.

\dfrac{36}{12}=\dfrac{12x}{12}

3=x

Therefore, the value of x is 3.

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(3) A boy has 10 pens in a pack. He gives 2 pens to his friend. What fraction of the pack is left? *
Olegator [25]

Answer: \frac{4}{5}

Step-by-step explanation:

10 pens - 2 pens = 8 pens

Write 8 of 10 as a fraction.

You get \frac{8}{10}, right?

Now, simplify 8/10.

You get 4/5.

8 0
3 years ago
The art club has a goal to raise at least $500 by selling paintings to the student body for $15 each. They have already spent $7
natali 33 [55]

Answer:

15x - 70 = 500

Step-by-step explanation:

3 0
2 years ago
What is the sequence of transformations that maps △ABC to △A′B′C′ ? Select from the drop-down menus to correctly identify each s
torisob [31]
<h3>Answer:</h3>

Any 1 of the following transformations will work. There are others that are also possible.

  • translation up 4 units, followed by rotation CCW by 90°.
  • rotation CCW by 90°, followed by translation left 4 units.
  • rotation CCW 90° about the center (-2, -2).
<h3>Step-by-step explanation:</h3>

The order of vertices ABC is clockwise, as is the order of vertices A'B'C'. Thus, if reflection is involved, there are two (or some other even number of) reflections.

The orientation of line CA is to the east. The orientation of line C'A' is to the north, so the figure has been rotated 90° CCW. In general, such rotation can be accomplished by a single transformation about a suitably chosen center. Here, we're told there is <em>a sequence of transformations</em> involved, so a single rotation is probably not of interest.

If we rotate the figure 90° CCW, we find it ends up 4 units east of the final position. So, one possible transformation is 90° CCW + translation left 4 units.

If we rotate the final figure 90° CW, we find it ends up 4 units north of the starting position. So, another possible transformation is translation up 4 units + rotation 90° CCW.

Of course, rotation 90° CCW in either case is the same as rotation 270° CW.

_____

We have described transformations that will work. What we don't know is what is in your drop-down menu lists. There are many other transformations that will also work, so guessing the one you have available is difficult.

5 0
3 years ago
Please I need help
solong [7]

9514 1404 393

Answer:

  (c)  27x^11 +51x^7 +9x^6 -60x^5 +17x^2 -20

Step-by-step explanation:

As with many multiple-choice questions, you only need to look at something that will discriminate the correct answer from the wrong one.

The highest-degree product term is the product of the highest-degree terms in the factors:

  (3x^5)(9x^6) = 27x^11

This matches choice C only.

_____

In case you're interested in actually performing the rest of the multiplication, the distributive property applies.

  (1 +3x^5)(17x^2 +9x^6 -20)

  = 1(17x^2 +9x^6 -20) +3x^5(17x^2 +9x^6 -20)

  = 17x^2 +9x^6 -20 +51x^7 +27x^11 -60x^5

Writing these terms in order of decreasing exponents gives ...

  = 27x^11 +51x^7 +9x^6 -60x^5 +17x^2 -20

7 0
2 years ago
What are the solutions to the equation x2 + bx+c=0?
nevsk [136]

Answer:

Find the complex solutions using the quadratic formula.

x

=

−

b

−

√

b

2

−

4

c

2

x

=

−

b

+

√

b

2

−

4

c

2

Step-by-step explanation:

8 0
2 years ago
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