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Anarel [89]
2 years ago
9

3. Bob has 8 pieces of square index cards that each measures 8 inches per side. Using a pair of scissors, he cuts each piece in

half (so the resulting size is 8” x 4”) and then places all the resulting card pieces in a new stack. If he repeats this procedure 4 more times, how many pieces of card stock will he have and what will be the measure of each piece? (Note: All cuts will be made along the longer edge of the piece if the piece of index card is not square.)
Mathematics
1 answer:
const2013 [10]2 years ago
8 0

The number of pieces of card stock which would result upon the process repetition is; 256 pieces.

<h3>What is the number of card stock pieces resulting from the cutting process?</h3>

According to the task content, it follows that since, there are 8 pieces of the 8 inches per side cards initially, the resulting number of cards after carrying out the process of cutting cards into half five, 5 times is;

No of cards = 8 (2)⁵

No. of cards = 256 pieces.

The size of each of the cards in discuss provided that all cuts will be made along and not across the longer edge is; 8 by 1/4 inches.

Read more on exponential functions;

brainly.com/question/14197900

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How do you know if -4^2 is -16 or 16?
alex41 [277]

\text{Hey there!}

\bf{-4^2=-4\times-4=16}\\\bf{You\ factor\ out\ the\ exponent\ by\ multiplying.\ Like\ how\ I\ did.}\\\\\\\\\boxed{\boxed{\text{Answer: 16}}}\checkmark

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4 0
3 years ago
Parallelogram PQRS is shown. m/S=(3x), m/R=120, and m/Q=(2y). Find the value of y.A.
fomenos

Option B. From the parallelogram PQRS the value of y is given to be 30

<h3>How to solve for the value of y from the parallelogram</h3>

In order to get the value of y we have to use the formula

2y + 120 = 80

where the value 120 is the angle that is stated as 120 from the question

2y = 180 - 120

2y = 60

y = 60 / 2

y = 30

Hence the value of y = 30

We can go ahead to get the value of x as well

3x + 120 = 180

take the like terms

3x = 180 - 120

3x = 60

divide through by 3 to get x

60 / 3 = x

20 = x

Read more on parallelograms here: brainly.com/question/24056495

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7 0
1 year ago
The Sugar Sweet Company is going to transport its sugar to market. It will cost $3375 to rent trucks, and it will cost an additi
Ksju [112]

Answer:

C = 125S + $3750

Step-by-step explanation:

$ 3750  = truck rental;   $125 per ton of sugar transported.  C is the cost;  S is the number of tons transported. The equation relating C to S would be a linear equation like y = mx + b. This equation would be graphed in the first quadrant only. You would start with your y-intercept at (0, 3750). As x increases by 1, your y increases by 125 yielding these points:

(1, 3875)  (2, 4000)  (3, 4125)  etc.

This shows that for each increase by one ton of sugar, the cost goes up $125

5 0
3 years ago
the movie theater had 135 people in it if the people spilt into nine group to watch different show how many people will watch ea
Airida [17]
135 divided by 9 is 15 so there's 15 people in each group and this people 15 people will watch each movie.
3 0
3 years ago
Use the calculator to graph the function y = 2x2 25x + 3. What are the coordinates of the turning point of the graph to the near
professor190 [17]

The coordinates of the turning point of the graph of the quadratic equation is given by: (-6.25, -75.13).

<h3>What is the vertex of a quadratic equation?</h3>

A quadratic equation is modeled by:

y = ax^2 + bx + c

The vertex is given by:

(x_v, y_v)

In which:

  • x_v = -\frac{b}{2a}
  • y_v = -\frac{b^2 - 4ac}{4a}

In this problem, the function is given by:

y = 2x² + 25x + 3.

Hence the coefficients are a = 2, b = 25, c = 3, then the coordinates of the vertex are given as follows:

  • x_v = -\frac{25}{2(2)} = -6.25
  • y_v = -\frac{25^2 - 4(2)(3)}{4(2)} = -75.13

The coordinates of the turning point of the graph of the quadratic equation is given by: (-6.25, -75.13).

More can be learned about the quadratic functions at brainly.com/question/24737967

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5 0
2 years ago
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