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Sati [7]
3 years ago
5

Leena walked 2/3 of a mile What is 2/3 written as a sum of unit fractions with the denominator of nine

Mathematics
1 answer:
aliya0001 [1]3 years ago
3 0
Bear in mind that multiplying anything, and anything whatsoever by 1, has a product of the anything itself.

so, let's multiply 2/3 by 1 then and check about,

\bf \cfrac{same}{same}=1\qquad thus\cfrac{2}{3}\cdot 1\implies \cfrac{2}{3}\cdot \cfrac{3}{3}\implies \cfrac{6}{9}
\\\\\\
\textit{now, we can split that and write it as a sum}\implies \cfrac{1+5}{9}\implies \cfrac{1}{9}+\cfrac{5}{9}
You might be interested in
2+266666662724683745946198753278313=
LUCKY_DIMON [66]

Answer:

2.6666666e+32

Step-by-step explanation:

1.add

2.multiply

3. you have your answer

6 0
3 years ago
Suppose a crew at an unloading dock can unload 3 trucks per hour and have already unloaded 17 trucks. Which equation can be used
kompoz [17]

Answer:

Suppose a crew at an unloading dock can unload 3 trucks per hour and have already unloaded 17 trucks. Which equation can be used to model the number of trucks the crew unloads after h hours?  

A. y = 3h = 17

B. y = 3h + 17

C. y = 17h – 3

<u>D. y = 17h + 3</u>

Step-by-step explanation:

4 0
3 years ago
Can you help me please!!!!
pentagon [3]
If you add the 3/4s with the 2 1/4 hour breaks it would be 1 hour and 1 fourth.
Then you take 10-1/2 hours and subtract it by 1 hour and 1 fourth.
So you would get 9-1/4 hours
5 0
3 years ago
Read 2 more answers
A science class began recording the height of a plant each day. On day 10, it was 20 cm tall. On day 35, it was 57.5 cm tall. Wh
Simora [160]
The plant grew 1.5 cm each day.
4 0
3 years ago
Read 2 more answers
Write the sum using summation notation, assuming the suggested pattern continues. -9 - 4 + 1 + 6 + ... + 66
Ipatiy [6.2K]

Answer:

Summation notation is:

\sum_{n=1}^{16}[5(x-1)-9]

If you prefer it a little more simplified:

\sum_{n=1}^{16}(5x-14)

Step-by-step explanation:

First my favorite part, finding a pattern between the consecutive terms.

This is an arithmetic series because the terms are going up by 5 each time.

So arithmetic sequence, think linear equations:

x     |      y

1            -9

2           -4

3             1

4             6

..................

n             66

We are going to have to find that n but will will eventually...

The equation for a line in point slope form is y-y_1=m(x_x_1) where (x_1,y_1) is a point on the line and m is the slope.

We are already have the slope is 5 (the slope is the common difference in arithmetic sequence).

I'm going to use the first point (1,-9).

So the equation in point slope form is y-(-9)=5(x-1)

Subtract 9 on both sides:

y=5(x-1)-9

Now we need to know how many terms we are adding so what is x if y=66.

66=5(x-1)-9

Add 9 on both sides:

75=5(x-1)

Divide both sides by 5:

15=x-1

Add 1 on both sides:

16=x

We have 16 terms in this sequence where the 16th term is 66.

Summation notation is:

\sum_{n=1}^{16}[5(x-1)-9]

You could simplify the 5(x-1)-9.

Distribute:  5x-5-9

Add like terms:  5x-14

3 0
3 years ago
Read 2 more answers
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