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zhannawk [14.2K]
3 years ago
11

Complete the statement below to explain how this model shows that 3/4 ÷ 2/3 = 9/8.

Mathematics
1 answer:
Mademuasel [1]3 years ago
6 0
Try to zoom in to see explanation

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Helppppppp<br> 3<br> Σ (2n – 3)<br> n=0
Nataly [62]

Since there are only 4 terms in the sum, it's not too much work to expand it as

\displaystyle \sum_{n=0}^3 (2n-3) = -3 + (-1) + 1 + 3 = \boxed{0}

Alternatively, we can use the well-known formulas

\displaystyle \sum_{n=1}^N 1 = \underbrace{1 + 1 + \cdots + 1}_{N \text{ 1s}} = N

\displaystyle \sum_{n=1}^N n = 1+2+\cdots+N = \frac{N(N+1)}2

These sums start at n = 0, so in our given sum we will keep track of the 0-th term separately:

\displaystyle \sum_{n=0}^3 (2n-3) = -3 + \sum_{n=1}^3 (2n-3) = -3 + 2 \sum_{n=1}^3 n - 3 \sum_{n=1}^3 1 = -3 + 3\times4 - 3\times3 = 0

as expected.

8 0
2 years ago
9.3x10^7 to regular notation
Dominik [7]

Answer:

93,000,000

Step-by-step explanation:

9.3x10^7

since the 10 has the ^7 on it, you move the decimal over 7 spots.

8 0
3 years ago
Jane sells pillows. For a sale, she marks them down 5%.
mariarad [96]

Two expressions that represent the sale price of the pillows are  (p-0.05p) and 0.95p.

Step-by-step explanation:

Let,

Regular price of pillow = p

Mark down = 5% = \frac{5}{100}=0.05

Amount of mark down = 0.05p

Amount after mark down = Regular price - Mark down amount

Amount after mark down = p - 0.05p

Taking p common = p(1-0.05) = p(0.95) = 0.95p

Two expressions that represent the sale price of the pillows are  (p-0.05p) and 0.95p.

Keywords: mark down, subtraction

Learn more about subtraction at:

  • brainly.com/question/10940255
  • brainly.com/question/10941043

#LearnwithBrainly

6 0
3 years ago
In your own words, what is relative frequency?
sergey [27]

Answer:

The number of data points satisfying something divided by the total number of data points is relative frequency.

6 0
3 years ago
Read 2 more answers
the measure of two complimentary angles is in the ratio 1:9. what are the degree measures of the two angles
marusya05 [52]
x+9x=90\\&#10;10x=90\\&#10;x=9\\&#10;9x=9\cdot9=81

9 and 81.
4 0
3 years ago
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