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2 years ago

7

A certain taxi company charges a two dollar flat fee +0.75 per mile driven write an equation that will help you solve for the nu

mber of miles driven for a $4.25 cab ride

1 answer:

rodikova [14]2 years ago

7 0

Answer: 2 + (0.75m) = 4.25

Step-by-step explanation:

0.75m represents 0.75 * mile. So, you need to also add the flat fee.

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−1/2 (x+2) + 112x = 3<br><br> x=?

AysviL [449]

Given equation :−1/2 (x+2) + 112x = 3

We have -1/2 in front of parenthesis on left side .

It's better to remove fraction in an equation, in order make it easier to solve.

In order to remove 2 from denominator of 2, we need to multiply each and every term by 2.

Multiplying each term in the equation by 2, we get

2* −1/2(x+2) +2* 112x = 2*3.

On simplifying this step, we get

-1(x+2) +224x = 6.

Distributing -1 over (x+2), we get

-x -2 +224x = 6

Combining like terms on left side, -x+224x=223x

223x -2 = 6

Adding 2 on both sides, we get

223x -2+2 = 6+2

223x = 8

Dividing both sides by 223, we get

223x/223 = 8/223.

x= 8/223.

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3 years ago

10.6 written as a decimal and a fraction or a mixed number in simplest form

lakkis [162]

$10.6 \times \frac{10}{10} = \frac{106}{100} = \frac{53 \times 2}{50\times 2} \\\\ = \frac{53}{50} = \boxed{\bf{1 \frac{3}{50}}}$

and 10.6 is already written as a decimal.

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3 years ago

Sam has 9 yellow pencils in his desk. Three fourths of his pencils are yellow How many pencils does Sam have in his desk

polet [3.4K]

Sam has 12 pencils in total.

7 0

3 years ago

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The first three steps in determining the solution set of the system of equations algebraically are shown.

Ivenika [448]

(2,-1), (-4,17).

Step-by-step explanation:

Equate the equation A and equation B

Convert the quadratic equation in factored form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

Complete the square. Remember to balance the equation by adding the same constants to each side.

Rewrite as perfect squares

Square root both sides

Find the values of y

Substitute the value of x in the equation B

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2 years ago

A true-false quiz with 10 questions was given to a statistics class. Following is the probability distribution for the score of

disa [49]

Answer:

$E(X)=\sum_{i=1}^n X_i P(X_i)$

And if we use the values obtained we got:

$E(X)=5*0.05 +6*0.15 +7*0.33 +8*0.28+ 9*0.12 +10*0.07=7.48$

For this case this value means that the expected score is about 7.48

Step-by-step explanation:

For this case we assume the following probability distribution:

X 5 6 7 8 9 10

P(X) 0.05 0.15 0.33 0.28 0.12 0.07

First we need to find the expected value (first moment) and the second moment in order to find the variance and then the standard deviation.

In order to calculate the expected value we can use the following formula:

$E(X)=\sum_{i=1}^n X_i P(X_i)$

And if we use the values obtained we got:

$E(X)=5*0.05 +6*0.15 +7*0.33 +8*0.28+ 9*0.12 +10*0.07=7.48$

For this case this value means that the expected score is about 7.48

In order to find the standard deviation we need to find first the second moment, given by :

$E(X^2)=\sum_{i=1}^n X^2_i P(X_i)$

And using the formula we got:

$E(X^2)=(5^2 *0.05)+(6^2 *0.15)+(7^2 *0.33)+(8^2 *0.28)+ (9^2 *0.12 +(10^2 *0.07))=57.46$

Then we can find the variance with the following formula:

$Var(X)=E(X^2)-[E(X)]^2 =57.46-(7.48)^2 =1.5096$

And then the standard deviation would be given by:

$Sd(X)=\sqrt{Var(X)}=\sqrt{1.5096}=1.229$

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3 years ago

Read 2 more answers