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mr Goodwill [35]
3 years ago
7

A taxi company charges passengers $1.75 for a ride, no matter how long the ride is, and an additional $0.40 for each mile travel

ed. The rule mc014-1.jpg describes the relationship between the number of miles m and the total cost of the ride c. What is the charge for a 2.7-mile ride?
Mathematics
1 answer:
lions [1.4K]3 years ago
7 0
$2.4

 1.75+0.40x=2.7
-1.75            -1.75
-------------------------
            0.40x=0.95
            -------------
                  0.40
             X=2.375
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What is the volume of the composite figure? Explain your work. A complete answer should include how you broke up the figure, whi
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Answer:

15,000\:\mathrm{mm^3}

Step-by-step explanation:

The composite figure consists of a square prism and a trapezoidal prism. By adding the volume of each, we obtain the volume of the composite figure.

The volume of the square prism is given by V=s^2\cdot h, where s is the base length and h is the height. Substituting given values, we have: V=14^2\cdot 30=196\cdot 30=5,880\:\mathrm{mm^3}

The volume of a trapezoidal prism is given by V=\frac{b_1+b_2}{2}\cdot l\cdot h, where b_1 and b_2 are bases of the trapezoid, l is the length of the height of the trapezoid and h is the height. This may look very confusing, but to break it down, we're finding the area of the trapezoid (base) and multiplying it by the height. The area of a trapezoid is given by the average of the bases (\frac{b_1+b_2}{2}) multiplied by the trapezoid's height (l).

Substituting given values, we get:

V=\frac{14+24}{2}\cdot (30-14)\cdot 30,\\V=19\cdot 16\cdot 30=9,120\:\mathrm{mm^3}}

Therefore, the total volume of the composite figure is 5,880+9,120=\boxed{15,000\:\mathrm{mm^3}} (ah, perfect)

Alternatively, we can break the figure into a larger square prism and a triangular prism to verify the same answer:

V=30^2\cdot 14+\frac{1}{2}\cdot10\cdot 16\cdot 30=\boxed{15,000\:\mathrm{mm^3}}\checkmark

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3 years ago
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Korolek [52]

Answer:

P(not blue) = 3/5

Step-by-step explanation:

There are 4 blue shirts, 2 brown shirts , 2 green shirts, 1 red shirt and 1 white shirt for a total of 10 shirts

How many shirts are not blue?

2 brown shirts , 2 green shirts, 1 red shirt and 1 white shirt for a total of 6 shirts  

P( not a blue shirt) = not a blue shirt/total

                               = 6/10

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3 years ago
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