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yanalaym [24]
3 years ago
8

The area of a rectangle patio is 12-3/8 square meters. The width of the patio is 2-3/4 meters. What is the length?

Mathematics
1 answer:
Nitella [24]3 years ago
6 0
Area=length x width
A=lw
A=12 3/8
l=x
w=2 3/4

first, make your mixed numbers into improper fractions
12 3/8 --> 99/8
2 3/4 --> 11/4

then, set equal denominators

99/8 and 22/8

99/8=22/8x --plug in values
99/22=x --divide both sides by 22/8

convert improper fraction to mixed number
99/22 --> 4 11/22 --> 4 1/2

therefore, the length is 4 1/2 meters
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The table represents the change in the boiling point of water at different altitudes. Altitude (in thousands of feet) Boiling Po
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Answers:

1) The dependent variable is the boiling point of water and the independent variable is the altitude.

2) The slope would represent the average decrease of the boiling point of water per every one thousand feet that the altitude increase.

Explanation:

1) given

Table:

<span>Altitude (in thousands of feet)    Boiling Point of Water (Fahrenheit)

(sea level) 0                                212
0.5                                               211.1
1.0                                               210
2.0                                               208.4
2.5                                               207.5
3.0                                               206.6
4.0                                               204.8
4.5                                               203.9

2) The independent variable is the input of the function, and the dependent variable is the output of the function.

The input determines the output once the rule is established.

Therefore:

a) the independent variable is the altitude, and
b) the dependent variable is the boiling point of water in Farenheit.

3) The slope of the graph would be:

                 change in the dependent variable          change in boiling point
slope = --------------------------------------------------- =  ---------------------------------
</span>                 change in the independent variable          change in altitude

Therefore, the slope represents the average change in the boiling boilin point of water every one thousand feet on change of altitude.

If the relationship is not linear, then the slope is not constant, and you will have different slopes for different parts.

If the slope is negative, means that as the altitude increase the boiling point of water decrease.

You can calculate the slope using any two pair of points (data)

              212 - 210           2
slope =---------------- =   ------- = - 2
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slope = --------------------- =   --------- = -2.6
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As you see, the slope is not constant. So, the function is not linear.
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