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3 years ago

A piece of rope is 33 1/3 yards long and was cut into equal pieces. How many yards was each piece?

Mathematics

1 answer:

malfutka [58]3 years ago

5 0

Answer:

<h2> 11 ¹/₉ yards</h2>

Step-by-step explanation:

You didn't say how many pieces. My answer is for 3 equal pieces. $33\frac13\div3=(33+\frac13)\div3=33\div3+\frac13\div3=11+\frac13\times\frac13=11+\frac19=11\frac19$

For two it would be:

$33\frac13\div2=(33+\frac13)\div2=33\div2+\frac13\div2=16\frac12+\frac13\times\frac12=\\\\=16\frac36+\frac16=16\frac46=16\frac23$

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On a recent math test, Samantha scored 3 points for each of the 18 multiple choice questions she

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The required expression will therefore be:

(3×18) + (5×6) + 4

Her total score is 88points :

From the question given, we are told that Samantha scored 3 points for each of 18 multiple choice questions, this means that the total points made here is expressed as:

(3 × 18) ...1

If she got 5 points for each of the 6 short response questions she answered

correctly, the total point made will be expressed as;

(5×6) ... 2

Total score for an additional 4 points for the bonus question will be "4"

Expression for her total score will be the sum of all the expression above as thus:

(3×18) + (5×6) + 4

Taking the sum, her score will be:

= (3×18) + (5×6) + 4

= 54 + 30 + 4

= 84 + 4

= 88 points

The required expression will therefore be:

(3×18) + (5×6) + 4

Her total score is 88points

Learn more about sum here: brainly.com/question/16397188

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3 years ago

Find the common difference for the following sequence and fill in the missing terms. Show all calculations. -12, __, 10, __, 32,

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Step-by-step explanation:

-12 + 11 = -1

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3 years ago

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7z+8+2z+3 what's the answer this?

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Answer:

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Step-by-step explanation:

7z+8+2z+3

CLT, or combine like terms.

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Identify the polynomial a^2+b-cd^3

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HURRYYY !!!! A bacteria population doubles in size every 5 hours. After 5 hours, the sample contains 2,000 bacteria. Which equat

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Equation of y, the population size after x hours is y = 1000 (1.15)ˣ

<h3>Further explanation</h3>

Firstly , let us learn about types of sequence in mathematics.

Arithmetic Progression is a sequence of numbers in which each of adjacent numbers have a constant difference.

$\boxed{T_n = a + (n-1)d}$

$\boxed{S_n = \frac{1}{2}n ( 2a + (n-1)d )}$

<em>Tn = n-th term of the sequence</em>

<em>Sn = sum of the first n numbers of the sequence</em>

<em>a = the initial term of the sequence</em>

<em>d = common difference between adjacent numbers</em>

<em />

Geometric Progression is a sequence of numbers in which each of adjacent numbers have a constant ration.

$\boxed{T_n = a ~ r^{n-1}}$

$\boxed{S_n = \frac{a( 1 - r^n ) }{1 - r}}$

<em>Tn = n-th term of the sequence</em>

<em>Sn = sum of the first n numbers of the sequence</em>

<em>a = the initial term of the sequence</em>

<em>r = common ratio between adjacent numbers</em>

Let us now tackle the problem!

Let :

Initial number of population = a

After 5 hours → Population = y = a × 2 = 2000

2a = 2000

a = 2000 ÷ 2

a = 1000

After 10 hours → Population = y = a × 2 × 2 = a × 2² = 1000 × 2²

After 15 hours → Population = y = a × 2 × 2 × 2 = a × 2³ = 1000 × 2³

After x hours ↓

Population = y = $1000 \times 2^{\frac{x}{5}}$

Population = y = $1000 \times (2^{\frac{1}{5}})^x$

Population = y = $\large{ \boxed {1000 \times (1.15)^x} }$

Let's prove the equation above :

After 5 hours :

Population = y = $1000 \times (1.15)^5$ = 2011 ≈ 2000 ✔

After 10 hours :

Population = y = $1000 \times (1.15)^{10}$ = 4046 ≈ 4000 ✔

After 15 hours :

Population = y = $1000 \times (1.15)^{15}$ = 8137 ≈ 8000 ✔

<h3>Learn more</h3>

Geometric Series : brainly.com/question/4520950
Arithmetic Progression : brainly.com/question/2966265
Geometric Sequence : brainly.com/question/2166405

<h3>Answer details</h3>

Grade: Middle School

Subject: Mathematics

Chapter: Arithmetic and Geometric Series

Keywords: Arithmetic , Geometric , Series , Sequence , Difference , Term

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4 years ago

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