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pashok25 [27]
1 year ago
15

Sara drives 171 miles on 7.6 gallons of gas. She uses this information to calculate how many miles per gallon she can drive. Usi

ng this result, how many miles can Sara drive on 12.5 gallons of gas?
Mathematics
2 answers:
vfiekz [6]1 year ago
7 0

171 / 7.6 = 22.5 miles per gallon

22.5 x 12.5 = 281.25 miles she can drive

IrinaK [193]1 year ago
5 0

Answer:

She can drive 281.25 miles in 12.5 gallons.

Step-by-step explanation:

Consider the provided information.

Sara drives 171 miles on 7.6 gallons of gas.

Thus in 1 gallons of gas she can drives:

171\ miles = 7.6\ gallons

\frac{171}{7.6}\ miles =1\ gallon

22.5\ miles =1\ gallon

She can travel 22.5 miles in one gallon or she can drive 22.5 miles per gallon.

To find how many miles she can drive on 12.5 gallons of gas, simply multiply the number 22.5 with 12.5.

22.5×12.5=281.25

Hence, she can drive 281.25 miles in 12.5 gallons.

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A book has 89 pages, but the page numbers are printed incorrectly. Every third page number has been omitted, so that the pages a
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Answer:

89

Step-by-step explanation:

There are only 30 pages but last page number is 89.

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1 year ago
Explain why the graphing calculator cannot be used to solve or approximate solutions to all polynomial equations.
Triss [41]

Did your explanation include the following?

Some polynomial equations have complex solutions.

Therefore, complex solutions cannot be found by graphing the related system or function in the Cartesian (x-y) plane.

Polynomial functions with all complex solutions do not have x-intercepts, and the related system of equations will not intersect.

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2 years ago
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Problem 5 (4+4+4=12) We roll two fair 6-sided dice. Each one of the 36 possible outcomes is assumed to be equally likely. 1) Fin
tekilochka [14]

Answer:

1

p(b) =  \frac{1}{6}

2

p(k) =  \frac{1}{3}

3

P(a) =  \frac{1}{3}

Step-by-step explanation:

Generally when two fair 6-sided dice is rolled the doubles are

(1 1) , ( 2 2) , (3 3) , (4 4) , ( 5 5 ), (6 6)

The total outcome of doubles is N = 6

The total outcome of the rolling the two fair 6-sided dice is

n = 36

Generally the probability that doubles (i.e., having an equal number on the two dice) were rolled is mathematically evaluated as

p(b) =  \frac{N}{n}

p(b) =  \frac{6}{36}

p(b) =  \frac{1}{6}

Generally when two fair 6-sided dice is rolled the outcome whose sum is 4 or less is

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Looking at this outcome we see that there are two doubles present

So

The conditional probability that doubles were rolled is mathematically represented as

p(k) =  \frac{2}{6}

p(k) =  \frac{1}{3}

Generally when two fair 6-sided dice is rolled the number of outcomes that would land on different numbers is L = 30

And the number of outcomes that at least one die is a 1 is W = 10

So

The conditional probability that at least one die is a 1 is mathematically represented as

P(a) =  \frac{W}{L}

=> P(a) =  \frac{10}{30}

=> P(a) =  \frac{1}{3}

3 0
1 year ago
What is the equation of the graph below? On a coordinate plane, a curve goes through (0, 0). It has a maximum of 1 and a minimum
bogdanovich [222]

Answer:

y=cos(x+π)

Step-by-step explanation:

Known that the cosine function has a period of 2π.

Now, the parental function is y = cosx, which has y-intercept at y = 1, and x-intercept at π/2.

Notice that the function showed in the graph attached has y-intercept at y = -1 and x-intercept at π/2. This indicates that the function has been moved leftwards π units.

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2 years ago
Quadrilateral ABCD is translated 7 units down and 2 units to the right.
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It will remain the same. 
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