WILL MARK AS BRAINIEST!Jill has a hot tub that holds 1,260 gallons of water. She needs to drain the hot tub, so that it can be moved to a new location in her backyard. If draining the hot tub is modeled by the equation y = -793/2 x + 1,260, how long will it take to drain the hot tub?

A) 2 hours 48 minutes
B) 2 hours 59 minutes
C) 3 hours 11 minutes
D) 3 hours 22 minutes

Answers

Answer 1
Answer:

Answer:

C) 3 hours 11 minutes

Step-by-step explanation:

We are given that  Jill has a hot tub that holds 1,260 gallons of water.

Draining the hot tub is modeled by the equation :

y = (-793)/(2)x + 1,260

Now we are asked to find how long will it take to drain the hot tub

So, substitute y = 0 in equation :

0 = (-793)/(2)x + 1,260

0 =-396.5x + 1260

396.5x = 1260

x =(1260)/(396.5)

x =3.17780580076

So, it will take 3.17780580076 hours

Now 1 hour = 60 minutes

So, 0.17780580076 hours = 0.17780580076 * 60

                                            = 10.6683480456 minutes

                                            ≈ 11 minutes

So, it will take 3 hours and 11 minutes    

Hence it will take 3 hours and 11 minutes to drain the hot tub .

Answer 2
Answer: B just guess i think it is B

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Match the vocabulary word to its correct definition. 1. additive inverse a number belonging to the set made up of the whole numbers and their opposites 2. integer 4 a number belonging to the set made up of zero and the natural numbers 3. irrational number the opposite or negative of a number; the sum of a number and its additive inverse is zero 4. natural number a number belonging to the set made up of the numbers that are used to count: 1, 2, 3, and so on 5. rational number a number that can be written as a ratio of two integers in the form a/b with b ≠ 0 6. whole number a number that cannot be written as a ratio of two integers, which has an infinite decimal representation that does not repeat

Answers

Answer with explanation:

We have to match each of the words to it's definition:

  • Additive inverse--  the opposite or negative of a number; the sum of a number and its additive inverse is zero

( Since we know that for any real number a the additive inverse of the number is " -a "  )

  • Integer--   a number belonging to the set made up of the whole numbers and their opposites.

( We know that the integers are the numbers of the form {.....-4,-3,-2,-1,0,1,2,3,4,.....}  )

  • Irrational number --  a number that cannot be written as a ratio of two integers, which has an infinite decimal representation that does not repeat

( We know that irrational number is an opposite of a rational number

Hence, it could not be written in the form of p/q where p and q are integers and q≠0]

also the decimal expansion of such a number is non-recurring and non-repeating )

  • Natural number -- a number belonging to the set made up of the numbers that are used to count: 1, 2, 3, and so on .

( These are the numbers which are used to count)

  • Rational number -- a number that can be written as a ratio of two integers in the form a/b with b ≠ 0
  • Whole number -- a number belonging to the set made up of zero and the natural numbers.

Answer:Answer with explanation:

We have to match each of the words to it's definition:

Additive inverse--  the opposite or negative of a number; the sum of a number and its additive inverse is zero

( Since we know that for any real number a the additive inverse of the number is " -a "  )

Integer--   a number belonging to the set made up of the whole numbers and their opposites.

( We know that the integers are the numbers of the form {.....-4,-3,-2,-1,0,1,2,3,4,.....}  )

Irrational number --  a number that cannot be written as a ratio of two integers, which has an infinite decimal representation that does not repeat

( We know that irrational number is an opposite of a rational number

Hence, it could not be written in the form of p/q where p and q are integers and q≠0]

also the decimal expansion of such a number is non-recurring and non-repeating )

Natural number -- a number belonging to the set made up of the numbers that are used to count: 1, 2, 3, and so on .

( These are the numbers which are used to count)

Rational number -- a number that can be written as a ratio of two integers in the form a/b with b ≠ 0

Whole number -- a number belonging to the set made up of zero and the natural numbers.

Ending time: 10:08 A.M

Elapsed time: 30 minutes

Answers

For this you need to add the minutes. If it is 10:08 AND YOU ADD 30 MINUTES, 8+30=38. SO It would be 10:38

Answer:

10:38

Step-by-step explanation:

Because your adding your numbers together

What is 14.2% expressed as a decimal?
(i think its 0.142)

Answers

Hi there! To turn a percent like 14.2 we make our denominator 100 so that we have 14.2/100. 14.2÷100=0.142. Therefore, you were correct.

Katherine is three times older than Joel now. In twenty years Katherine will be six years older than Joel. How old is Katherine now?

Answers

She is currently 9 years old. 

If Katherine is 9, and Joel is 3, 20 years later they'll be 29 and 23. Katherine is 6 years older than him. 

k = 3*j;
k + 20 = 6 + (j + 20) => k = 6 + j; but k =3*j => 3*j = 6 + j => j = 3( Joel has 3 years) and k = 9 (Katherine has 9 years);

A student identification card consistsof 5 digits selected from 10 possible
digits from 0 to 9. Digits cannot be
repeated. Find the probability that
randomly generated card has the
exact number 94213.

Answers

Answer:

(1)/(30240)

Step-by-step explanation:

Given

ID Card of 5 digits

Possibly Digits = {0,1...,9}

Required

Probability that a card has exact number 94213

First, we have o determine the total possible number of ID card numbers

Let the card number be represented by ABCDE

Given that repetition of digits is not allowed;

A can be any of 10 digits

B can any of the remaining 9 digits

C can be any of the remaining 8 digits

D can be any of the remaining 7 digits

E can be any of the remaining 6 digits

Total number of cards = 10 * 9 *8 * 7 * 6

Total = 30240

Provided that the card number is generated at random; each card number has the same probability of (1)/(30240)

Hence, the probability of having 94213 is (1)/(30240)

Simplify 3[(15-3)^2 + 4]

Answers

Answer:

444

Step-by-step explanation:

3 [ ( 15 - 3 )^2 + 4 ]

= 3 [ ( 15 - 3 )^2 + 4 ]

= 3 [ ( 12 )^2 + 4 ]

= 3 [ 144 + 4 ]

= 3 [ 148 ]

= 444

Step-by-step explanation:

3(15-3)²+4

3(12)²+4

3×144+4

432+4

436 Answer