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2 years ago

A strip of wood 78 inches long is to be cut into pieces 3 3/4 inches long. How many pieces can be cut?

Mathematics

1 answer:

Ray Of Light [21]2 years ago

8 0

It is 20 because if u divide 78 by 3.75 ( 3 3/4 ) than equals 20.8

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The trees at a national park have been increasing in numbers. There were 1,000 trees in the first year that the park started tra

ivanzaharov [21]

The sequence forms a Geometric sequence as the rule to obtain the value for the next term is by ratio

Term 1: 1000
Term 2: 200
Term 3: 40

From term 1 to term 2, there's a decrease by $\frac{1}{5}$
From term 2 to term 3, there's a decrease also by $\frac{1}{5}$

The rule to find the $n^{th}$ term in a sequence is
$n^{th}=a r^{n-1}$ , where $a$ is the first term in the sequence and $r$ is the ratio

So, the formula for the sequence in question is
$n_{th}$ term = $1000( \frac{1}{5} ^{n-1} )$

The sequence is a divergent one. We can always find the value of the next term by dividing the previous term by 5 and if we do that, the value of the next term will get closer to 'zero' but never actually equal to zero.

We can find a partial sum of the sequence using the formula
$S_{∞} = \frac{a}{1-r}$ for -1<r<1
Substituting $a=1000$ and $r= \frac{1}{5}$ we have
$S_{∞}$ = $\frac{1000}{1- \frac{1}{5} }$ = 1250

Hence, the correct option is option number 1

6 0

2 years ago

A store pays $60 for shoes and sells them for $90. What is the percent mark up?

Anton [14]

Answer:

50%

Step-by-step explanation:

5 0

1 year ago

there are 30 students in mr. Holland music class. If 30% of the students play in the school band, how many students in the class

MA_775_DIABLO [31]

9 students 30% ends up being .3%, multiply .3% by 30 students which equals 9.

3 0

2 years ago

Read 2 more answers

I’m not sure how to slove this problem it’s a equilateral triangle and I’m trying to find out what the side is equal to.

Lerok [7]

Answer:

AB = 5/4 y - 1 = 5/4 (12/13) -1 = 2/13

AC= 7/3 y - 2 = 7/3 (12/13) -2 = 2/13

Step-by-step explanation:

Because it is a equilateral triangle, it means all sides have the same length.

AB = AC

5/4 y - 1 = 7/3 y - 2

5/4 y - 7/3 y = -2 +1

-13/12 y = -1

y = 12/13

input y to the equation.

AB = 5/4 y - 1 = 5/4 (12/13) -1 = 2/13

AC= 7/3 y - 2 = 7/3 (12/13) -2 = 2/13

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Hope it helps you.

6 0

2 years ago

How many trees are in the field

DiKsa [7]

Idk there is nothing to look at

3 0

2 years ago