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laiz [17]
1 year ago
6

Taxi charges 2.95 for the first mile and 0.30 per 1/8 gary was charged 25.45 for this taxi ride. Not including the first mile ho

w many miles did Gary travel.
Mathematics
1 answer:
Arisa [49]1 year ago
8 0

Using proportions, considering the cost of the taxi per mile, it is found that Gary traveled 9.375 miles, not including the first.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, the company charges 2.95 for the first mile and $0.3 per each 1/8 mile next = $2.4 per mile. After the first mile, he was charged a total of $25.45 - $2.95 = $22.5. Hence the number of miles is given by:

22.5/2.4 = 9.375.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

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3 times what equals 5?​
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Step-by-step explanation:

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2 years ago
Read 2 more answers
At 7:00 A.M., Alicia pours a cup of tea whose temperature is 200°F. The tea starts to cool to room temperature (72°F). At 7:02 A
NeTakaya

Answer:

Part A

The most correct option is;

b. y = 128(0.989)x + 72

Part B

Ella can drink the tea after 7:22

Step-by-step explanation:

Here we have the temperature variation with time given in an exponential equation as follows;

Let the temperature at time x (in minutes) = y

Therefore, y = a × mˣ + b

Where:

b = Shift of the curve or the limit value of the decreasing exponential function as x → ∞

When y = 200, x = 0

Therefore. 200 = a × m⁰ + c = a + c

We note that c is the shift of the graph, the value upon which temperature increases = final temperature = 72°F

Hence a = 200 - 72 = 128°F

When y = 197, x = 2 minutes

Therefore, 197 = 128·m² + 72 =

m² = (197 - 72)/128 = 125/128

m = √(125/128) = 0.98821

Hence the exponential equation of cooling is presented in the following equation;

y = 128 × (0.98821)ˣ + 72

Therefore, the most correct option is b. y = 128(0.989)x + 72

Part B

When the temperature is 172°F we have;

172 = 128 × (0.989)ˣ + 72

∴ (0.989)ˣ = (172 - 72)/128 = 100/128 = 25/32

log(0.989)ˣ = log(25/32)

x·log(0.989) = log(25/32)

x = log(25/32)/log(0.989) = 22.32 minutes

Hence Ella can drink the tea after 7:22.

6 0
2 years ago
Find the value of x.
Tatiana [17]

Answer: The answer is x = 6 units.

Step-by-step explanation: Please refer to the attached diagram

The diagram in the question shows two triangles placed on each other and for convenience sake has been labelled ABDCE. Triangle ABC is a right angled triangle, and so is triangle ADE. From the marks on the lines, we can infer that line AD is equal in measurement to line DB. Also line AE is equal in measurement to line EC.

Therefore we can see the similarity in both triangles, if AD and AE equals DB and EC, then it follows that DE equals BC.

Hence if AD = DB and

AE = EC, and

DE = BC

Then, x - 3 = ½x

(½x can also be expressed as x/2)

x - 3 = x/2

By cross multiplication we now have

2(x - 3) = x

2x - 6 = x

By collecting like terms we now have

2x - x = 6

x = 6

8 0
2 years ago
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