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ElenaW [278]
3 years ago
5

A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is

the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation.
x + y = 24

3x + 5y = 100

What does the solution of this system indicate about the questions on the test?

The test contains 4 three-point questions and 20 five-point questions.

The test contains 10 three-point questions and 14 five-point questions.

The test contains 14 three-point questions and 10 five-point questions.

The test contains 20 three-point questions and 8 five-point questions.
Mathematics
1 answer:
Serhud [2]3 years ago
4 0

Answer:

It has 10 three-point questions and 14 five-point questions

Step-by-step explanation:

Substitution (look it up it takes a long time to explain lol)

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I hope this helped :)
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the graph shows the first five terms in a geometric sequence what is the iterative rule for the sequence​
algol [13]

The iterative rule for the sequence is a_n = 8 · ( 0.5 )ⁿ ⁻ ¹

<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>

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!

<u>Given:</u>

a₁ = 8

a₂ = 4

a₃ = 2

a₄ = 1

<u>Solution:</u>

<em>Firstly , we find the ratio by following formula:</em>

r = a_2 \div a_1 = 4 \div 8 = 0.5

\texttt{ }

<em>The iterative rule for the sequence:</em>

a_n = a_1 \cdot~ r^{n-1}

a_n = 8 \cdot~ (0.5)^{n-1}

\texttt{ }

<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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What is the graph of the equation y = - 4*+<br> X 2?
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Find the selling price of the following item.<br> Original price of an iPod: $350<br> Discount 20%
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if the IPOD is 350,

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