1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
il63 [147K]
3 years ago
15

The water level In a plastic pool changed by the -8 gallons each hour due to a small hole in the bottom after 6 hours the pool c

ontained 132 gallons how much water was in the pool originally
Mathematics
1 answer:
vlada-n [284]3 years ago
5 0

Answer:

180 gallons

Step-by-step explanation:

Each hour, 8 gallons were lost. Thus, in 6 hours,

6 * 8 = 48 gallons were lost

After 6 hours, 132 gallons remained, so before this 6 hours, there were more 48 gallons in it. Thus,

Original amount was 132 + 48 = 180 gallons

Originally, 180 gallons of water was in the pool

You might be interested in
The length of a rectangle is three more than twice the width. Determine the dimensions that will give a total area of 27m^ {2}.
AveGali [126]

Answer:

3m and 9m

Step-by-step explanation:

length of the rectangle = 2w+3

width of rectangle = w

area = L*W

if area = 27m²

then (2w+3)w=27

=2w²+3w-27=0

using factorization w= 3 or -4.5

w=3m

L=9m

6 0
3 years ago
Read 2 more answers
Today, 6 friends went out for lunch. Their total bill was $27.60, including tax and gratuity. They decided to split the bill equ
Paladinen [302]

Step-by-step explanation:

Right, okay, so this is a bit of a weird one. Let's go step by step.

"Today, 6 friends went out for lunch." = The number 6 is gonna be in our equation somewhere.

"Their total bill was $27.60" = so is the number 27.6

"They decided to split the bill equally" = 27.6 "split equally" (aka divided by) 6 friends is 4.6

"each paid with a $10 bill" = This is where it gets a lil weird. So, if they divided the bill among them, none of their amounts are gonna be anywhere near ten dollars. This is one of those questions that wouldn't really happen in real life. People would probably use fives instead, but whatever. So a number we'll be using for something is 10.

"How much money will each person get back?" = So we have to find the amount they all paid (10) minus the amount each one had to pay (4.6).

To put it all into a full equation...

10 - ( 27.6 / 6 )

Divide.

10 - 4.6

Subtract.

5.4

Put back into money form.

$5.40

Answer:

Each person will get back $5.40.

7 0
3 years ago
Read 2 more answers
Write 7 in the form a + ib
11Alexandr11 [23.1K]

Answer:

Step 1. A=4

Step 2. Ib =3

Step 3 add it. Ans=7

8 0
2 years ago
Marla bought 12 books at a garage sale. Some of them were hardback and the rest were paperback. She paid $0.50 for each paperbac
olga nikolaevna [1]

Answer: The number of books bought were 9 paperbacks and 3 hardbacks

Step-by-step explanation: We shall start by assigning letters to the unknown variables, hence let the hardback be called h, while the paperback shall be called p.

If Marla bought 12 books at the garage sale, that means she bought

h + p  = 12 ------(1)

Then she paid 0.5 dollars for paperback and 0.75 dollars for hardback and the total spent was 6.75 dollars for all of them, then we can express these as follows;

0.5p + 0.75h = 6.75 ------(2)

We now have a pair of simultaneous equations which are

h + p = 12 ------(1)

0.5p + 0.75h = 6.75 ------(2)

From equation (1), make h the subject of the equation,

h = 12- p

Substitute for h into equation (2)

0.5p + 0.75(12 - p) = 6.75

0.5p + 9 - 0.75p = 6.75

0.5p - 0.75p = 6.75 - 9

-0.25p = -2.25

Divide both sides of the equation by -0.25

p = 9

Now, substitute for p into equation (1)

h + p = 12

h + 9 = 12

Subtract 9 from both sides of the equation

h = 3

Therefore Marla bought 9 paperbacks and 3 hardbacks

6 0
3 years ago
Read 2 more answers
Explain how to find the vertex of 2x^2+12x+16
Elina [12.6K]

The vertex form:

y=a(x-h)^2+k\\\\(h,\ k)-vertex

Use (a+b)^2=a^2+2ab+b^2\qquad(*)


2x^2+12x+16=2(x^2+6x)+16=2(x^2+2(x)(3))+16\\\\=2(\underbrace{x^2+2(x)(3)+3^2}_{(*)}-3^2)+16=2((x+3)^2-9)+16\\\\=2(x+3)^2+(2)(-9)+16=2(x+3)^2-18+16\\\\=\boxed{2(x-(-3))^2-2}\to h=-3,\ k=-2

<h3>Answer: (-3, -2).</h3>

Other method:

f(x)=ax^2+bx+c\\\\vertex:(h,\ k)\\\\h=\dfrac{-b}{2a},\ k=f(h)

We have

f(x)=2x^2+12x+16\\\\a=2,\ b=12,\ c=16

Substitute:

h=\dfrac{-12}{(2)(2)}=\dfrac{-12}{4}=-3\\\\k=f(-3)=2(-3)^2+12(-3)+16=2(9)-36+16=18-36+16=-2

<h3>Answer: (-3, -2).</h3>
5 0
3 years ago
Other questions:
  • What is the equation in point-slope form of a line that passes through the points (−4, −1) and (5, 7) ? y+1=87(x+4) y+4=98(x+1)
    13·2 answers
  • C. y<br> D. y&lt;3x+2 <br><br> PLEASE ANSWER ASPAP!
    7·1 answer
  • Identify a3 of this sequence: 0.25, 0.5, 0.75, 1, 1.25, 1.5, … a3 =
    6·2 answers
  • F the equation of a circle is (x + 4)2 + (y - 6)2 = 25, its center point is (4, 6) (-4, 6) (4, -6)
    13·1 answer
  • State the domain of this relation
    5·2 answers
  • Brayden had some candy to give her for children. She first took 10 pieces for herself and then evenly divided the rest among her
    9·1 answer
  • Whit is the answer to this
    7·1 answer
  • The absolute value of a number is 16. What is this number? Select all that apply.
    10·2 answers
  • Just answer these 4questions! (: 13 points!
    7·1 answer
  • Luca cut 5 shelves of equal length using 1/2 of a yard of wood. How long was each shelf?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!