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exis [7]
3 years ago
9

A metal rod will be cut into pieces that are each 1/20 meters long. The rod is 4/5 meters long. How many pieces will be made fro

m the rod?
Write your answer in simplest form.
Mathematics
1 answer:
kirill115 [55]3 years ago
7 0
There will be 16 pieces made from the rod

4/5 ÷ 1/20

Reciprocate 1/20
4/5 ÷ 20/1

Multiply numerators and denominators of both fractions:
4 x 20 = 80
5 x 1 = 5

80/5 sinplified is 16.

Hope this helps!
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Beth has 250 comic books in her collection. She begins to sell 20 of them each week. Martin has 80 comic books in his collection
guapka [62]

Answer:

250 - 20 < 80 + 15x

Step-by-step explanation:

Given that

Beth has 250 books and 20 books sold each week

While on the other hand, Martin has 80 books and sell 15 books each week

Let us assume each week be x

Now the equations are  

Beth         250 - 20x            

Martin       80 + 15 x

Now the inequality would be

250 - 20 < 80 + 15x

8 0
3 years ago
For the functions f(x) = x^2+ 8x + 2 and g(x) = -5+9, find (f•g)(x)and (f.g)(-1).
Ne4ueva [31]

Answer:  (f·g)(x) = -5x³ - 31x² + 62x + 18

               (f·g)(-1) = -70

(fog)(x) = 25x² - 130x + 155

(fog)(-1) = 310

<u>Step-by-step explanation:</u>

f(x) = x² + 8x + 2          g(x) = -5x + 9

(f·g)(x) = (x² + 8x + 2)(-5x + 9)

          = -5x³ + 9x²

                    - 40x² + 72x

            <u>                    - 10x + 18</u>

          = -5x³ - 31x² + 62x + 18

(f·g)(-1)= -5(-1)³ - 31(-1)² + 62(-1) + 18

         =  -5(-1)  - 31(1)    - 62      + 18

         =    5     -   31      - 62      + 18

         =  -70

****************************************************************************************

(fog)(x) = (-5x + 9)² + 8(-5x + 9) + 2

           = 25x² - 90x + 81

                       - 40x + 72

              <u>                   +   2</u>

           = 25x² - 130x + 155

(fog)(-1) = 25(-1)² - 130(-1) + 155

            =   25    +  130    + 155

            = 310

<em>It wasn't clear if you wanted multiplication or composition so I solved both.</em>

6 0
3 years ago
Which of the side lengths could form a triangle? A) 2 cm, 2 cm, 4 cm B) 3 cm, 5 cm, 10 cm C) 3 cm, 4 cm, 5 cm D) 4 cm, 8 cm, 15
Deffense [45]
The correct answer for USATesprep is


C) 3 cm, 4 cm, 5 cm
7 0
4 years ago
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What is the end behavior of the graph? *
kherson [118]
Answer D: The graph increases as x goes to -infinity and decreases as x goes to infinity
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David is planning to attend a public university after he graduates from high school in 3 years. He is devising a plan to save mo
allochka39001 [22]

Answer:

b. 600

Step-by-step explanation:

subtract money from parents from tuition

divide by months

7 0
3 years ago
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