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zlopas [31]
2 years ago
11

Describe in detail how you would create a number line with the following points: 1, 3.25, the opposite of 2, and − (−4 ). Please

be sure to describe on which tick marks each point is plotted and how many tick marks are between each integer. It may help for you to draw this number line by hand on a sheet of paper first.

Mathematics
2 answers:
mafiozo [28]2 years ago
8 0

Draw a horizontal line with vertical tick marks. Draw one in the middle of the horizontal line for 0, then draw 4 vertical ticks for every whole integer, this will split the number into quarters.

Draw enough to have up to positive 4 on the right side of 0 and -2 on the left side of 0 and label it with the given numbers.

skelet666 [1.2K]2 years ago
7 0

Answer:

The given numbers are

1

3.25

The opposite of 2. The opposite of a number has the same value with different sign, so in this case the number is -2.

-(-4). Here we multiply signs. So the number is 4.

Now, we must graph -2, 1, 3.25 and 4.

The image attached shows all four numbers drawn on a number line. The first number must be -2, because is the least, then number 1, then number 3.25 and at last number 4.

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Find the area of the polygon WXYZ with its vertices at W(–3, –2), X(–3, 5), Y(2, 5), and Z(2, –2).
ki77a [65]

Answer:

The area of the polynomial is 35 square unit.

Step-by-step explanation:

It is given that area of the polygon WXYZ with its vertices at W(–3, –2), X(–3, 5), Y(2, 5), and Z(2, –2).

From the below graph it is noticed that the given polynomial is a rectangle with length 5 and width 7.

The distance formula

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Using the above formula we get,

WX=7

XY=5

YZ=7

WZ=5

The length of opposing sides are equal.

Using the Pythagoras theorem, the length of diagonal WY and XZ are

WY=\sqrt{(WX)^2+(XY)^2}=\sqrt{7^2+5^2}=\sqrt{74}

XZ=\sqrt{(XY)^2+(YZ)^2}=\sqrt{5^2+7^2}=\sqrt{74}

Since the length of the diagonal are same, therefore the given polygon is a rectangle.

The area of a rectangle is

A=l\times w

Where l is length and w is width.

The area of given polynomial is

A=5\times 7

A=35

Therefore the area of the polynomial is 35 square unit.

6 0
2 years ago
Tristan wants to buy 12 cupcakes. Each cupcake costs $2.40. What is the best estimate for how much money Tristan should bring wi
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Answer: $28.80

Step-by-step explanation:

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20 kilograms is 200 hectograms
The limit is 200 hectograms and his suitcase is 220 hectograms.
Subtract 220-200 and his suitcase is over by 20 hectograms.
He will have to remove 20 hectograms
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How many groups of 1/4 are in 3
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12

Step-by-step explanation:

3*4/1 = 12/1 =12

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Omar, Amare, and Jack paid a total of $68.25 for dinner and tickets to a concert. The concert
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Answer: $13

Step-by-step explanation:

To determine the solution arithmetically in two steps, first divide 68.25 by 3 and then subtract 9.75 from the result. To determine the solution algebraically, set up and solve the equation 3(x+9.75)=68.25. Each friend paid $13 for dinner.

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2 years ago
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