The change in the amount of water in the pool is the difference between the amount of water that enters and leaves the pool
Change in volume of water in the pool after 112 minutes is [tex]\underline{-117\frac{1}{3}}[/tex] gallons
Reason:
The given parameters are;
The volume volume of entering the pool = 10 3/4 gallons per minute
The volume of water leaving the pool = 12 1/3 gallons per minute
Required:
The change in the amount of water in the pool after 112 minute
Solution:
The volume of water, V₁, that enters the pool in 112 minute is given as follows;
V₁ = 10 3/4 × 112 = 1,204The volume of water, that enters the pool, V₁ = 1,204 gallons
The volume of water, V₂, that leaves the pool in 112 minute is given as follows;
V₂ = 12 1/3 × 112 = 1,381[tex].\overline 3[/tex]The volume of water, that that leaves the pool, V₂ = 1,381[tex].\overline 3[/tex] gallons
The change in the amount of water in the pool after 112 minutes, ΔV, is given as follows;
ΔV = V₁ - V₂
ΔV = 1,204 - 1,381[tex].\overline 3[/tex] = -177[tex].\overline 3[/tex] = -(117 1/3)Change in volume of water in the pool after 112 minutes, ΔV = [tex]\underline{-117\frac{1}{3}}[/tex] gallons
Learn more here:
https://brainly.com/question/17037198
find area and perimeter
Answer:
Area = 18×(6+9) + (11×9)
= (18×15) + 99
= 270 + 99
= 369m²
Perimeter = 2(18+11) + 2(15)
= 2(29) + 30
= 58 + 30
= 88m
please answer this question with full explanation
pls help will give brainliest
Consider the function f(x) = 3x + 1 and the graph of the function g(x) shown below.
The graph g(x) is the graph of f(x) translated
units
, and g(x) =
.
Answer:
The graph g(x) is the graph of f(x) translated 2 units, Right and g(x)=f(x-2)
Step-by-step explanation:
Took the test got it right.
(Also I came here to get the answer, but I gave it instead.)
what numbers 65% of 98
Answer:
63.7
Step-by-step explanation:
If you setup an equation it is this. Make sure to change 65% to a decimal by moving the decimal two places left.
[tex]n = .65 \times 98[/tex]
[tex]n = 63.7[/tex]
what is (4x-3)(x-11) do you know
Answer:
[tex](4x - 3)(x - 11) = 4 {x}^{2} - 47x + 33[/tex]
Answer:
4x^2 - 47x + 33
Step-by-step explanation:
1. To multiply binomials, we must apply the FOIL method, meaning:
F = Multiply first term in first parentheses by first term in second parenthesesO = Multiply outside term in first parentheses by outside term in second parenthesesI = Multiply inside term in first parentheses by inside term in parenthesesL = Multiply last term in first parentheses by last term in second parentheses2. (Solving)
[tex](4x-3)(x-11)[/tex] [tex](4x)(x) + (4x)(-11) + (-3)(x) + (-3)(-11)[/tex] [tex]4x^2 - 44x - 3x + 33[/tex] [tex]4x^2 - 47x + 33[/tex]Therefore, the answer is 4x^2 - 47x + 33
Mr jones paid for a table using hire purchase plan if he made a deposit of $2000 and a monthly payment of $750 for 9 months , what did the table cost him
Answer:
138 I think
Step-by-step explanation:
2,000 - 750 ÷ 9 = 138
Geometric proofs. I just don’t understand it and my teacher isn’t helping.
3x+9=15
Anybody know the answer to thisss???
Answer:
[tex]x = 2[/tex]
Step-by-step explanation:
Move all terms that don't contain [tex]x[/tex] to the right side and solve.
Answer:
refer to the attachment
Step-by-step explanation:
hence x is 2
Need help #1-3 please
Answer:
69 squared
Step-by-step explanation:
The Swiger family recycles about 15 pounds of waste a week. This is 2/5 of the total waste a week. How many pounds of waste does the family produce each week? (Step by step explanation)
Answer: 37.5 lb/wk
Step-by-step explanation:
Let X be the total amount of waste. We are told that (2/5) of X is 15 lb/wk.
(2/5)X = 15 lb/wk
X = (5/2)*(15lb/wk)
X = (75/2) il/wk
X = 37.5 lb/wk
52 divided by 91, find the quotient then write the remainder as a decimal.
Answer:
The answer to 52 divided by 91 calculated using Long Division is:
0
52 Remainder
Step-by-step explanation:
Find real numbers a and b such that the equation is true.
a + bi = 7 + 6i
complete the table below
Answer:
see below
Step-by-step explanation:
let the four blanks be
A B
C D
the x-value of each function is given on the leftmost column,
So,
A = 2 * (x^2) = 2 * (1^2) = 2 * 1 = 2
B = 2^x = 2^1 = 2
C = 2 * (x^2) = 2 * (2^2) = 2 * 4 = 8
D = 2^x = 2^2 = 4
Cesar is excited that he only has 12 months left before he pays off his credit card completely. His current balance is $3,750 and his APR is 17.5%. But when he is involved in a car accident, he is forced to use his credit card to pay a $1,000 deductible to get his car fixed. How much will Cesar’s minimum monthly payment increase if he still wants to pay off his credit card in 12 months?
a.
$83.33
b.
$91.44
c.
$342.91
d.
$434.35
Answer:
✅ B. $91.44i took the test⬇️
If one angle is 25 and another is 105 what is x
Answer:
choices 1, 2, and 5 are correct for this problem.
Step-by-step explanation:
Help I need it fast if I will fail this homework
Answer:
[tex]y=\frac{10}{30} x+90[/tex]
Step-by-step explanation:
y = mx + b is the formula for slope intercept form
Mark as brainliest if correct :)
Select the correct answer from each drop-down menu. Consider this equation. 1/x + 2/x+10 =1/3 Complete the statements to make them true. The least common denominator is . The equation will have valid solutions.
Answer:
[tex] \frac{1}{x} + \frac{2}{x} + 10 = \frac{1}{3} ) \times3 x \\ 3 + 6 +30x = x \\ 30x - x = - 9 \\ 29x = - 9 \\ x = - \frac{9}{29} [/tex]
Answer:
i have the second part!
Step-by-step explanation:
the equation will have 2 valid solutions
PLS HELP ME WITH THIS QUESTION, IM LITERALLY SO FRUSTRATED PLSSSS, WILL MARK BRAINEST, AND PLS EXPLAIN HOW U GOT THE ANSWER PLS PLS PLS!!!!!!
Answer:
64:1
It doubles every 10 minutes, so it multiplies by two 6 times in an hour. 1x2x2x2x2x2x2 = 64
Helpppppp omggg I’m gonna fail
Answer:
D.
Step-by-step explanation:
The expression 3(2x+7)-4(-3x+5) is equal (=) to what?
The answer is 18x + 1
Use this information to answer parts A, B, C, and D.
A 5-pound bag of carrots costs $2.69, and a 2-pound bag costs $1.89.
A) Which bag provides a greater weight per dollar spent?
B) How much does 10 pounds of carrots cost when purchasing 5-pound bags?
C) How much does 10 pounds of carrots cost when purchasing 2-pound bags?
D) What is the difference in price between each option when purchasing 10 pounds of carrots?
Answer:
A) la que cuesta $1.89
B)$5.68
C)$5.68
Step-by-step explanation:
Cassie has a small cube-shaped box. Its volume is 64 cubic centimeters.
What is the area of one face of the box?
Answer:
16 cm^2
Step-by-step explanation:
Sqrt 64 = 4
Area of one face is 4 x 4 = 16 cm^2
WILL GIVE BRAINLIEST TO FIRST PERSON WHO ACTUALLY TRIES!!!
What is the length of the unknown leg of the right triangle rounded to the nearest tenth of a foot?
Answer:
Around 8.8
Step-by-step explanation:
This problem requires the Pythagorean Theorem. We are given the hypotenuse and a leg, so we can plug in what we know.
[tex]{x^2+2^2}=9^2 \\{4+x^2}=81 \\x^2=77\\\sqrt{x^2}=77\\x=\sqrt{77}\\x=8.8, approximately[/tex]
Help me! It’s a short answer question!
12. Find the values of x, y, and z. The diagram is not to scale. (3 points)
360
130
630
Answer:
x = 81 degrees
<z = 99 degrees
<y = 68 degrees
Step-by-step explanation:
<x = 180 - 36 - 63 = 81 degrees
<x + <z = 180 degrees
81 + <z = 180
<z = 180 - 81
<z = 99 degrees
<y = 180 - 99 - 13
<y = 68 degrees
Chanyeol makes a rectangle whose area is x^2 - 24x - 52. Find the possible dimension of the rectangle.
A. (x - 2) (2x - 1)
B. (x + 3) (x)
C. (x + 2)(x + 4)
D. (x + 2) (x - 26)
Answer:
D
Step-by-step explanation:
Factor the equation.
x² - 24x - 52
Two numbers when multiplied equals to -52 and added equals to -24 are -26 and +2.
Therefore,
(x+2)(x-26) is the right answer.
Name all trigonometric ratios that are equivalent to 3/5
Answer: if (1/x) = (3/5) then
x = 5/3.
As far as equivalent ratios to 3:5 go, there are an infinite number
3:5 = 6:10 = 12:20 = 1.5:2.5
Step-by-step explanation:
^
Sam is paid $50 per room that he paints and he can paint a room in exactly 2 hours. On sunday, sam hopes to make atleast $150 painting rooms and can work for exactly 10 hours. Which of the following sets represents the range of money (m) that sam can make without violating either his monetary or time restriction?
A. m= {150,250}
B. m={0,150}
C. m={0,250}
D. m={100,250}
Answer: A, {150,250}
Step-by-step explanation:
In 10 hours he can do 5x2 hours work. or 5x$50 = $250 for 5 rooms
$150 is 3x $50 or 3x2 hours work.
He can work 6 hours and make $150
or he can work 10 hours and make $250
the range he can earn so that he makes at least $150 and no more than 10 hours is$150 to $250
($150,$250) in interval notation for working 6 to 10 hours (6,10)
graph the linear function. j(x)=-1/3x+5
Answer:
Here ya go!
Step-by-step explanation:
each lap around a track is 5/6 kilometer samantha drove around the track 24 times. how far did samantha drive? FOR 20!!!!!!!!
Answer:
20 kilometers
Step-by-step explanation:
24 x 5/6 = 20
Graph y=4/7x−2
help asap
Answer:
(Hope this helps can I pls have brainlist (crown)☺️)
Step-by-step explanation:
Graph in pic
(Credits: Symbolab)