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3 years ago

Define the variables for the situation. Then enter an equation.

Mathematics

1 answer:

larisa [96]3 years ago

5 0

Answer:

p = 16/8 = 2

Step-by-step explanation:

We know that the pencils were divided into 8 groups of 2.

Then the total number of pencils is equal to 8 (the number of groups) times 2 (the number of pencils in each group)

8*2 = 16

The total number of pencils is 16.

Then the operation of dividing 16 pencils into 8 groups is written as:

16/8

And we know that this is equal to 2, then the operation is:

16/8 = 2.

Then the equation is:

p = 16/8 = 2

where p represents the number of pencils in each group.

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Find the missing length indicated thank yall for helping!

marusya05 [52]

Set up a proportion.

The total side of the “top” line is 8 + 10 = 18. The total side of the “bottom” line is 45. This makes the ratio 18/45.

Now we are trying to find the “larger” bottom segment, let it be x. Because the lines are parallel, the ratio of the “larger” top and bottom segments is equal to the ratio of the whole top and bottom lines.

So 18/45 = 10/x

Reduce 2/5 = 10/x

Cross multiply 2x = 50

Solve x = 25

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3 years ago

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Gnoma [55]

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3 years ago

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Convert the following to standard form y=2/5 x - 1/3

Afina-wow [57]

Given :-

y = 2/5x - 1/3

To Find :-

To convert the given equation into standard form.

Solution :-

As we know that the standard form of the line is ,

$\sf\longrightarrow$ ax + by + c = 0

So the given equation is ,

$\sf\longrightarrow$ y = 2/5x -1/3

$\sf\longrightarrow$ y = 6x - 5/15

$\sf\longrightarrow$ 15y = 6x - 5

$\sf\longrightarrow$ 6x -15y -5 = 0

Hence the required equation of the line is 6x -15y-5=0.

8 0

3 years ago

A square image of an object on a video game has an initial side length of 25 pixels. To make the object appear closer, the side

Pani-rosa [81]

Answer: A(t) = 100t^2 + 500t + 625

3,025 square pixels

Step-by-step explanation:

7 0

4 years ago

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Which of the following indicates the subtraction property of equality when solving the equation 4(x + 9) + 5 = 3x − 8? Question

jeka94

Answer: 4(x + 9) = 3x − 8 − 5

Step-by-step explanation:

Hi, to answer this question we have to analyze the equation given:

4(x + 9) + 5 = 3x − 8

The subtraction property of equality states that if we subtract the same number from both sides of the equation, the equality remains.

So, if we subtract 5 from both sides:

4(x + 9) + 5-5 = 3x − 8 -5

4(x + 9) = 3x − 8 − 5

Feel free to ask for more if needed or if you did not understand something.

8 0

3 years ago