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Tema [17]
3 years ago
14

Look at each problem. Then decide if it is an equation or an expression. Check all the equations. A number decreased by three is

seven. 9 + n the product of a number and eleven The quotient of a number and six is two. x – 5 = 21
Mathematics
2 answers:
DerKrebs [107]3 years ago
9 0

Answer:

ADE

Step-by-step explanation:

inysia [295]3 years ago
5 0

Answer:

Equations:

  • A number decreased by three is seven.
  • The quotient of a number and six is two.
  • x – 5 = 21

Expressions:

  • 9 + n
  • The product of a number and eleven

Step-by-step explanation:

Required

Determine which is an expression and which is an equation

To start with, we analyse each of the options one after the other

<em></em>

(a): A number decreased by three is seven.

Let the number be n

<em></em>

<em>So, when n is increased by 3, the result  is 7. </em>

This statement can be represented as:

<em></em>n + 3 = 7<em></em>

<em></em>

<em>The above is an equation because it has an = sign</em>

(b) 9 + n

This is not an equation <em>because it has no = sign.</em>

<em>Hence, it is an expression.</em>

(c) The product of a number and eleven

Let the number be n

<em></em>

<em>n multiplied by 11 is represented as:</em>

<em></em>n * 11<em></em>

<em></em>

This is not an equation <em>because it has no = sign.</em>

<em>Hence, it is an expression.</em>

(d) The quotient of a number and six is two.

Let the number be n

<em></em>

<em>So, the quotient of n and 6, is 2. </em>

This statement can be represented as:

\frac{n}{6} = 2

<em></em>

<em>The above is an equation because it has an = sign</em>

(e) x – 5 = 21

<em>The above is an equation because it has an = sign</em>

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Eleven subtracted from two times a number is -31.
erica [24]

Answer:

x=-10

Step-by-step explanation:

2x-11=-31\\

Add 11 on both sides.

2x-11=-31\\2x=-20\\2x/2x=-20/2\\x=-10

7 0
2 years ago
Find the least common multiple of 7,9 and 21
lawyer [7]
Free LCM Calculator determines the least common multiple (LCM) between 9 and 21 the smallest integer that is 63 that is divisible by both numbers. Least Common Multiple (LCM) of 9 and 21 is 63.
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Prime Factorization of 21.
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1
3 0
3 years ago
Find the hcf*lcm for the number 105 and 125
Naily [24]

Answer:

15, 840.

Step-by-step explanation:

-HCM(GCM)

105's factor are 1, 3, 5, 7, <em>15</em>, 21, 35, 105.

125's factor are 1, 2, 3, 4, 5, 6, 8, 10, 12, <em>15</em>, 20, 24, 30, 40, 60, 120.

so, the answer is 15!

6 0
3 years ago
DJ Titus is making a playlist for a radio show; he is trying to decide what 10 songs to play and in what order they should be pl
Dominik [7]

Answer:

Different playlists possible = 18287141644800

Step-by-step explanation:

Given - DJ Titus is making a playlist for a radio show; he is trying to

            decide what 10 songs to play and in what order they should be

            played.

            Step 1 of 2 : If he has his choices narrowed down to 7 blues,

                                 7 disco, 5 pop, and 7 reggae songs.

To find - He wants to play no more than 4 reggae songs.

              How many different playlists are possible ?

Proof -

Given that he wants to play no more that 4 reggae songs.

So the possibility of choice of reggae song is 0, 1, 2, 3, 4

Now,

Case I -

If 0 reggae song is selected

⇒All 10 songs selected from 7 blue, 7 disco, 5 pop,

Number of ways = ¹⁹C₁₀ ₓ ⁷C₀ = 92,378

Case II -

If 1 reggae song is selected

⇒All 9 songs selected from 7 blue, 7 disco, 5 pop,

Number of ways = ¹⁹C₉ ₓ ⁷C₁ = 646,646

Case III -

If 2 reggae song is selected

⇒All 8 songs selected from 7 blue, 7 disco, 5 pop,

Number of ways = ¹⁹C₈ ₓ ⁷C₂ = 1,587,222

Case IV -

If 3 reggae song is selected

⇒All 7 songs selected from 7 blue, 7 disco, 5 pop,

Number of ways = ¹⁹C₇ ₓ ⁷C₃ = 1,763,580

Case V -

If 4 reggae song is selected

⇒All 6 songs selected from 7 blue, 7 disco, 5 pop,

Number of ways = ¹⁹C₆ ₓ ⁷C₄ = 949,620

So,

Total possible ways = 92,378+ 646,646+ 1,587,222+ 1,763,580+ 949,620

                               = 5,039,446

⇒Total possible ways = 5,039,446

Now,

Also the 10 songs selected can arranged themselves in 10! ways. ( because order of song played does not matter )

∴ we get

Different playlists possible = 10! × 5,039,446

                                          = 18287141644800

⇒Different playlists possible = 18287141644800

6 0
3 years ago
Can you help me with this question?
Rufina [12.5K]

Answer:

  16.2

Step-by-step explanation:

The angle internal to the triangle at B is the supplement of the one shown, so is 65°. That is equal to the angle internal to the triangle at D. Since the vertical angles at C are congruent, the two triangles are similar by the AA theorem.

Corresponding sides of similar triangles are proportional, so we can write the proportion shown in the attachment:

  BC/FC = DC/AC

  BC = FC(DC/AC) = 21.6(7.2/9.6)

  BC = 16.2 . . . . matches the first choice

4 0
3 years ago
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