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djyliett [7]
2 years ago
6

Rewrite the expression in standard form ( use the fewest number of symbols and characters possiable). a. 5g•7h b.3•4•5•m•n

Mathematics
1 answer:
CaHeK987 [17]2 years ago
6 0

Answer:

a. 35 *gh or 35 gh

b. 60 *mn or 60 mn

Step-by-step explanation:

The fewest number of symbols and characters can be obtained by multiplying the constant numbers with the constant numbers and variables with the variables.

a. The co efficients 5 and 7 are multiplied to get 35 and g is multiplied with h to get gh. So the answer is 35*gh. It can be further simpliefied into 35 gh

b. The co efficients 3,4 and 5 are multiplied to get 60 and m is multiplied with n to get mn. The answer is 60* mn. On further simplificaation we get 60 mn.

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The Answer Is -3(x-2)
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3 years ago
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An unopened cereal box contains `15/28` cubic foot of cereal. If the box is full, and the length and height of the box are `5/7`
VikaD [51]

Answer:

1/2ft

Step-by-step explanation:

15/28=(5/7)(1 1/2)(w)

15/28=(5/7)(3/2)w

15/28=(15/14)w

(15/28)/(15/14)=w

(15/28)*(14/15)=w

w=14/28

w=1/2 ft

4 0
3 years ago
Prove by mathematical induction that 1+2+3+...+n= n(n+1)/2 please can someone help me with this ASAP. Thanks​
Iteru [2.4K]

Let

P(n):\ 1+2+\ldots+n = \dfrac{n(n+1)}{2}

In order to prove this by induction, we first need to prove the base case, i.e. prove that P(1) is true:

P(1):\ 1 = \dfrac{1\cdot 2}{2}=1

So, the base case is ok. Now, we need to assume P(n) and prove P(n+1).

P(n+1) states that

P(n+1):\ 1+2+\ldots+n+(n+1) = \dfrac{(n+1)(n+2)}{2}=\dfrac{n^2+3n+2}{2}

Since we're assuming P(n), we can substitute the sum of the first n terms with their expression:

\underbrace{1+2+\ldots+n}_{P(n)}+n+1 = \dfrac{n(n+1)}{2}+n+1=\dfrac{n(n+1)+2n+2}{2}=\dfrac{n^2+3n+2}{2}

Which terminates the proof, since we showed that

P(n+1):\ 1+2+\ldots+n+(n+1) =\dfrac{n^2+3n+2}{2}

as required

4 0
3 years ago
Table
viktelen [127]

4) The first and second terms for both ratios need to be in the same order.

Step-by-step explanation:

Given ratio is:

16:36

In order to find any ratio equivalent to given ratio, the ratio can be divided by a number or multiplied to a number.

The equivalent ratio that is given: 72:32

If we multiply the given ratio by 2: We get 32:72

So,

Looking at the options we can conclude that the right answer is

4) The first and second terms for both ratios need to be in the same order.

Keywords: Ratio, Fractions

Learn more about ratios at:

  • brainly.com/question/1993757
  • brainly.com/question/2048256

#LearnwithBrainly

3 0
3 years ago
Decrease 620 by 10%
julia-pushkina [17]

Answer:

 682

Step-by-step explanation:

620, percentage decreased by - 10% (percent) of its value = 682

6 0
3 years ago
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