What is the equation of the given line in standard form? Use integer coefficients y = 5/7x - 12 A. -5x + 7y = -12 B. -5x - 7y = -84 C. -5x + 7y = -84 D. 5x + 7y = -84

Answers

Answer 1
Answer: y = 5/7 x - 12  / * 7 ( we will multiply both sides of the equation by 7 )
7 y = 5 x - 84
7 y - 5 x = 5 x - 5 x - 84
7 y - 5 x = - 84
- 5 x + 7 y = - 84
Answer:  The equation in standard form is C ) - 5 x + 7 y = - 84 

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Simplify 12^16/12^4.
12^12

12^4

1^12

1^4

Answers

Quotient property of exponents: (a^x)/(a^y) = a^(x-y)
Substitute in such that:
a = 12, x = 16, y = 4
(12^(16))/(12^4) = 12^(16-4)
(12^(16))/(12^4) = \textbf{12}^\textbf{12}

Answer:

Quotient property of exponents:  

Substitute - such that:

Step-by-step explanation:

Fran brings home $225 per week working 15 hours of which she is able to save $40. Fran wants to have $1,400 saved at the end of 20 weeks. She may work up to 18 hours per week if she wants. She can save all of the money earned working the extra hours. Which of the following statements is true?a.
Fran will meet her goal working 15 hours per week.
b.
Fran must work 17 hours per week to meet her goal.
c.
Fran must work 18 hours per week to meet her goal.
d.
Fran will not be able to reach her goal.

Answers

Fran will have a base amount of $800 saved at the end of the 20 weeks assuming she continues to get at least 15 hours and her expenses don't increase (40x20 =800). At a net pay rate of $15 per hour (225/15=15), she will need to work an additional two hours per week for a total of 17 hours to earn the $600 needed to meet her goal. [15x2= 30, 30x20=600]

What is factors of 14

Answers

Answer: 1, 2, 7, and 14

Step-by-step explanation: The factors of 14 are natural numbers that divide 14 without leaving any remainder. In other words, the factors of 14 divide 14 evenly.

Example: 7 is a factor of 14 because when we divide 14 by 7, it gives us 2 as the quotient and 0 as the remainder. Here, the quotient 2 is also a factor of 14.

So, to check if any number is a factor of 14 or not, divide 14 by that number and verify whether the remainder is zero or not. If the remainder is zero, the number is a factor of 14, otherwise not.

The airline industry defines an on-time flight as one that arrives within 15 minutes of its scheduled time. The following table shows the number of on-time and late flights leaving New York and arriving in Miami between November 1 and December 31, 2018, by airlines: Airlines On-Time Late Total United 254 72 326 Delta 292 65 357 American 235 58 683 Total 781 195 a. What is the probability that a randomly selected flight was Delta and was late? b. What is the probability that a randomly selected flight was United or was on-time? c. Given the flight was late, what is the probability that it was from American? d. Given the flight was from Delta, what is the probability that it was late? e. Construct a probability tree for these probabilities.

Answers

a) The probability is $\frac{65}{357}$.

b)  The probability is $\frac{781}{1000}$.

c)  The probability is $\frac{58}{195}$.

d) The probability is $\frac{65}{357}$.

e) We can construct a probability tree for these probabilities. Below is the probability tree:probability tree for airlines. Therefore, the above figure is the probability tree for airlines.

The probability that a randomly selected flight was Delta and was late is $\frac{65}{357}$.Therefore, the probability is $\frac{65}{357}$.

The probability that a randomly selected flight was United or was on-time is $\frac{781}{1000}$.Therefore, the probability is $\frac{781}{1000}$.

Given the flight was late, the probability that it was from American is $\frac{58}{195}$.Therefore, the probability is $\frac{58}{195}$.

Given the flight was from Delta, the probability that it was late is $\frac{65}{357}$.Therefore, the probability is $\frac{65}{357}$.

We can construct a probability tree for these probabilities. Below is the probability tree:probability tree for airlines. Therefore, the above figure is the probability tree for airlines.

Learn more about Probability

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A car travels 55 miles per hour for 2 hours how far does the car travel in 1/2 of a hour 1 1/2 hour

Answers

Answer:

for a half an hour the car travels 13.75 miles

Step-by-step explanation:

Answer:

Suppose you travel a distance of 100 miles, and it takes 1 1/2 hours to do it. Your average speed is then 100 miles divided by 1.5 hours which equals 66.67 miles per hour.

Step-by-step explanation:

Ann is buying a house that costs $250,000. She is making a down payment of 15 percent, and her closing costs will amount to 3 percent. Over the life of her loan, she will pay $282,089.89 in monthly payments. What is the total cost of her house?

Answers

BEFORE YOU PUT YOUR BLIND TRUST IN THIS ANSWER: I am not completely sure as to how house payments work, so I could be wrong about how I am calculating this...

15%= $37,500
3%= $7,500
monthly payments= $282,089.89
Original purchase price: $250,000

     250,000.00
-      37,500.00
+       7,500.00
+   282,089.89
---------------------
$   502,089.89




(that answer seems a little high to me but like I said I don't know much about house payments)

Answer:

Step-by-step explanation: