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3 years ago

PLEASE HELP!!!! While observing the fare meter in a taxi, a student records the following data:

Mathematics

1 answer:

Lunna [17]3 years ago

6 0

Answer:

C(t) = 0.55t + 7.75, $30.85

Step-by-step explanation:

the fixed cost is $7.75. this is the cost incurred at zero minutes of the taxi ride

the variable cost or the cost per minutes driven =

(13.25 - 7.77) / (10 - 0) = 0.55

total cost = 7.75 + 0.55t

cost of 42 minutes = 7.75 + 0.55(42) = $30.85

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If the same number is added to the numerator and subtracted from the denominator of LaTeX: \frac{23}{12}23 12, the resulting fra

lions [1.4K]

Hence, -45 is the number which when added to the given fraction will give 2/3

Further explanation:

Given fraction is:

$\frac{23}{12}$

Let x be the number which has to be added to numerator and denominator

Then

$\frac{23+x}{12+x}=\frac{2}{3}$

Cross-multiplying

$\frac{23+x}{12+x}=\frac{2}{3} \\3(23+x)=2(12+x)\\69+3x=24+2x\\3x-2x=24-69\\x=-45$

Hence, -45 is the number which when added to the given fraction will give 2/3

Keywords: Linear equation in one variable, Cross-multiplication

Learn more about linear equation at:

#LearnwithBrainly

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3 years ago

Find the circumference of a circle with a radius of 8 inches

zavuch27 [327]

Answer:

C= 50.27

Step-by-step explanation:

the formula is 2 $\pi$ r

plug in 8 for r

2 $\pi$ 8

multiply in any order

50.27

5 0

4 years ago

Find the inverse of the matrix <img src="https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D9%26-2%5C%5C-10%269%5C%5C

valentinak56 [21]

Answer:

The answer is (b)

Step-by-step explanation:

* Lets check how to find the inverse of the matrix,

its dimensions is 2 × 2

* To know if the inverse of the matrix exist find the determinant

- If its not equal 0, then it exist

* How to find the determinant

- It is the difference between the multiplication of

the diagonals of the matrix

Ex: If the matrix is $\left[\begin{array}{ccc}a&b\\c&d\end{array}\right]$

its determinant = ad - bc

- After that lets swap the positions of a and d, put negatives

in front of b and c, and divide everything by the determinant

- The inverse will be $\left[\begin{array}{ccc}\frac{d}{ad-bc} &\frac{-b}{ad-bc}\\\frac{-c}{ad-bc} &\frac{a}{ad-bc}\end{array}\right]$

* Lets do that with our problem

∵ The determinant = (9 × 9) - (-2 × -10) = 81 - 20 = 61

- The determinant ≠ 0, then the inverse is exist

∴ The inverse is $\frac{1}{61}\left[\begin{array}{ccc}9&2\\10&9\end{array}\right]$ =

$\left[\begin{array}{ccc}\frac{9}{61}&\frac{2}{61}\\\frac{10}{61} &\frac{9}{61}\end{array}\right]$

* The answer is (b)

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3 years ago

Point X is located at (2,-6), and point Z is located at (0,5). Find the y value for point Y that is located 1/5 the distance fro

aliya0001 [1]

The y-difference between the points is 5-(-6) = 11. One-fifth of that is 11/5 = 2.2. Adding that to the y-value of point X means ...

... the y-value of point Y is -6+2.2 = -3.8

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3 years ago

(2,-2) parallel to y=-3/2x + 5

garri49 [273]

The answer to the question

5 0

3 years ago