one - step adding/ subtraction equation / multiplication/ division problems
The height of the water in an above ground pool is 36 inches. The pool needs to be drained. As the water drains, the height of the water changes at a rate of -1/2 inch per minute. Write and solve and equation to find out how many minutes it will take to drain the pool.

Answers

Answer 1

Answer:

It would take x = 72 minutes to drain the pool.

Step-by-step explanation:

We know that the slope-intercept form of the line equation is

[tex]y = mx+b[/tex]

where m is the rate of change or slope and b is the y-intercept

Let 'y' be the height of the water poolLet 'x' be the time in the minute of the water pool

As the height of the water of the pool is 36 inches, meaning the basic condition of the pool states that the ground pool is 36 inches.

Thus,

y-intercept = b = 36

As the water drains, the height of the water changes at a rate of -1/2 inch per minute.

Thus, the rate of change or slope = m = -1/2

Thus, using the equation

[tex]y = mx+b[/tex]

substituting m = -1/2 and b = 36

[tex]y\:=\:-\frac{1}{2}x+36[/tex]

We know that when the pool drains, the height of water reduces to zero.

Thus, substituting y = 0 in the equation

[tex]0=-\frac{1}{2}x+36[/tex]

switching sides

[tex]-\frac{1}{2}x+36=0[/tex]

subtract 36 from both sides

[tex]-\frac{1}{2}x+36-36=0-36[/tex]

[tex]-\frac{1}{2}x=-36[/tex]

Multiplying both sides by -2

[tex]\left(-\frac{1}{2}x\right)\left(-2\right)=\left(-36\right)\left(-2\right)[/tex]

[tex]x=72[/tex]

Therefore, it would take x = 72 minutes to drain the pool.


Related Questions

John believes that height is related to leadership and specifically hypothesizes that the taller one is, the more other people look to that person as a leader. To test this hypothesis, he randomly selects a sample of 50 people, and measures their height and perceived leadership potential (both quantitative measures). This is a ______ hypothesis and will result in a(n) _______ -tailed test

Answers

Answer:

This is a __simple____ hypothesis and will result in a(n) _______one-tailed test.

Step-by-step explanation:

The Simple Hypothesis predicts the relationship between two variables, in this case, height and leadership. The one-tailed test will be performed to determine whether to reject the null hypothesis.  This is why the null and alternative hypotheses must be established before the statistic test is carried out.   If the null hypothesis is rejected, this simply results in the acceptance of the alternative hypothesis.

V = 2s^3

If s = 3.5 units, what is the value of V? The photo shows the answers available.

Answers

Answer:

21.0 Cubic Units

Step-by-step explanation:

2 times 3.5 = 7

7 times 3 = 21

Help help help help help

Answers

Answer:

Option 1 and the bottom right answer.

Step-by-step explanation:

Many track runners believe that they have a better chance of winning if they start in the inside lane that is closest to the field. For the data below, the lane closest to the field is Lane 1, the next lane is Lane 2, and so on until the outermost lane, Lane 6. The data lists the number of wins for track runners in the different starting positions. Calculate the chi-square test statistic to test the claim that the number of wins is uniformly distributed (equally likely) across the different starting positions. The results are based on 240 races.

Answers

This question is incomplete, the complete question is;

Many track runners believe that they have a better chance of winning if they start in the inside lane that is closest to the field. For the data below, the lane closest to the field is Lane 1, the next lane is Lane 2, and so on until the outermost lane, Lane 6. The data lists the number of wins for track runners in the different starting positions. Calculate the chi-square test statistic to test the claim that the number of wins is uniformly distributed (equally likely) across the different starting positions. The results are based on 240 races.

starting position:    1       2      3       4      5       6

Number of wins :  44    33     50    32    45    36

options

a) 15.541

b) 9.326

c) 6.750

d) 12.592

Answer:

the chi-square test statistic is 6.75

Option c) 6.750 is the correct answer

Step-by-step explanation:

Given that;

starting position:    1       2      3       4      5       6

Number of wins :  44    33     50    32    45    36

Given that we have 240 races

Using x² test.

we have to calculate the expected frequency

so

E(1) = 240 × 1/6 = 40

E(2) = 240 × 1/6 = 40

E(3) = 240 × 1/6 = 40

E(4) = 240 × 1/6 = 40

E(5) = 240 × 1/6 = 40

E(6) = 240 × 1/6 = 40

Now we know that,

x²_cal = [∑( Oi - Fi)²] / Fi

so

x²_cal  = (44-40)²/40 + (33-40)²/40 + (50-40)²/40 + (32-40)²/40 + (45-40)²/40 + (35-40)²/40

= 0.4 + 1.225 + 2.5 + 1.6 + 0.625 + 0.4

=  6.75

Therefore the chi-square test statistic is 6.75

Option c) 6.750 is the correct answer

Find the number between 100 and 999 such that
the sum of the three digits is 12.
the hundreds digit equals the sum of the tens digit and the ones digit.
the hundred digit equals one greater than the tens digit.

Answers

156 I think
1+5+6=12
1+5=6
6 is 1 greater than 5


Hmmm , can someone help with this one?

Answers

Answer:

answer choice c

Step-by-step explanation:

i think it’s 16/24.

1. A force of 30N is applied to a screwdriver to pry the lid off of a can of paint. The
screwdriver applies 90N of force to the lid. What is the MA of the screwdriver?

Answers

Answer:

I would have to guess that the MA of the screwdriver is 120N.

Step-by-step explanation:

I think this because you are adding 30 and 90, since there are two forces being acted on the same place in the same direction.

#teamtrees #WAP (Water And Plant)

#teamtrees #WAP (Water And Plant)

fill in the blank pls i need help

Answers

answer:
5-15
10-30
15-45

Answer:

x=5

y=30

y=15

Step-by-step explanation:

I need help please but if you can give me the step by step it would be helpful thank you

Answers

Answer: (x^2 -6x +10)(x - 2)

All the steps are shown in the picture below:

In parallelogram MNPT, MZM - (6x + 10% and m2N - (5x + 10.5. How many
degrees is ZT?

Answers

It will be 69• degreessssss bro bor8182)2(/

help me on this question please

Answers

Answer:

7 6/18

Step-by-step explanation:

Answer:

3.71851851852

Step-by-step explanation:

The coordinates of the vertices of a polygon ABCD are shown on the graph below.

On a coordinate plane, point A is at (negative 4, 3), point B is at (negative 2, negative 2), point C is at (4, negative 2), and point D is at (4, 3).
If the points are connected, what polygon is formed?


Heptagon
Octagon
Quadrilateral
Triangle

Answers

Step-by-step explanation:

c

Answer:

c

Step-by-step explanation:

Find the value of the following expression:

(28 ⋅ 3−5 ⋅ 60)−2 ⋅ 3 to the power of negative 2 over 2 to the power of 3, whole to the power of 4 ⋅ 228 (5 points)

Write your answer in simplified form. Show all of your steps.

Answers

Answer:

9

Step-by-step explanation:

(2⁸ ⋅ 3⁻⁵ ⋅ 6⁰)⁻² ⋅ (3⁻²/2³)⁴ ⋅ 2²⁸ =2⁻¹⁶·3¹⁰·3⁻⁸·2⁻¹²·2²⁸ =2⁻¹⁶⁻¹⁰⁺²⁸ · 3¹⁰⁻⁸ =2⁰ · 3² =1 · 9 =9

PLEAS PLEAS PLEAS HELP ME!!!!!!!!!!!!!!!

The Garcias are on their way to the beach. They are traveling at
a rate of 30 miles per hour. Use the ordered pairs to graph the
distance traveled over time.

Answers

Answer:

draw a line for the plotted points and put an arrow at the end, see my answer

Step-by-step explanation:

please click the heart button to give thanks for my work! :)

Stephen imports cars from the USA. He sells them in the UK. He has just bought a car in the USA costing $24 000. It cost him £900 to import the car to the UK. The exchange rate is £1 = $1.45. Stephen needs to make a profit of 20% on his total costs.
Work out the least amount that Stephen must sell the car for in the UK. Give your answer in pounds.

Answers

Answer:

£20942.04

Step-by-step explanation:

The total cost of the car includes its purchasing price and the cost of importing it into the UK.

Cost of the car in pounds = 24000/1.45 =  £16,551.7

Total cost of the car = £16,551.7 + £900 = £17,451.7

If the profit made is 20%

Then;

Profit % = selling price - cost price/cost price * 100/1

Let selling price = SP

Cost price = CP

20 = SP - CP/CP  * 100/1

20 = SP - 17,451.7/17,451.7 * 100/1

17,451.7 (20) = 100(SP - 17,451.7)

349034 = 100SP - 1745170

349034 + 1745170 = 100SP

2094204 = 100SP

SP = £20942.04

30 16565x
What is the solution to this equation

Answers

Your anwser is 536636x

Solve the proportion.

47/39 = b/2

A: 94/39
B: 78/47
C: 47/78
D: 39/94​

Answers

Answer:

94/39 is the correct answer

Answer:

The answer above is correct! A. 94/39

Step-by-step explanation:

E2020!

lIf f) = 6x -4, what is f(x) when x= 8?

Answers

The answer is 44
Explanation:
6(8) - 4
6•8= 48
48-4=44
Hope this helps!

Which equation is equivalent to : 2(-3x-6) = -5

Answers

Answer:

-6x-12=-5

Step-by-step explanation:

Just distribute

Does anyone know this?

Answers

The answer will be t=2.50g I think

Answer:

its first one

Step-by-step explanation:

37.5/15=2.5

42.5/17=2.5

52.5/21=2.5

Which expression is equivalent to StartFraction 1 Over sine (2 x) EndFraction minus StartFraction cosine (2 x) Over sine (2 x) EndFraction?
tan(x)
–tan(x)
StartFraction 1 Over cosine (x) EndFraction
Negative StartFraction 1 Over cosine (x) EndFraction

Answers

Answer:

Tan(x)

Step-by-step explanation:

JUST TOOK THE TEST

tan(x) is equivalent to 1/sin2x - cos2x/sin2x. Option a is correct.

To determine equivalent 1/sin2x - cos2x/sin2x.

What is tan(x)?

tan(x) is tangent of x here, tan is trigonometric operator.

Here,
= 1/sin2x - cos2x/sin2x
= (1-cos2x)/sin2x
= (2sin²x)/2sinxcosx
= sin(x)/cos(x)
= tan(x)

Thus, tan(x) is equivalent to 1/sin2x - cos2x/sin2x.

Learn more about tan(x) here:

https://brainly.com/question/15391269

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Will give brainliest help

Answers

Answer:

i cant download the photo

Step-by-step explanation:

Answer:

5/6

7/12

1 5/12

Step-by-step explanation:

I did the first 3 for u.. look up fraction calculater! then you will get the rest! hope this helps u!! :D

Write the given expression as a single trigonometric function.
StartStartFraction tangent (StartFraction 3 pi Over 7 EndFraction) minus tangent (StartFraction 2 pi Over 5 EndFraction) OverOver 1 + tangent StartFraction 3 pi Over 7 EndFraction) tangent (StartFraction 2 pi Over 5 EndFraction) EndEndFraction

Answers

Answer:

tan (pi/35)

Step-by-step explanation:

edge 2020

The expression [tan (3π/7) - tan (2π/5)] / [1 + tan (3π/7) × tan (2π/5)] as a single trigonometric function will be tan (29π / 35).

What is trigonometry?

Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The trigonometric function is given below.

⇒ [tan (3π/7) - tan (2π/5)] / [1 + tan (3π/7) × tan (2π/5)]

We know that the formula,

tan (a + b) = [tan a - tan b] / [1 + tan a) × tan b]

Then the expression is written as,

⇒ [tan (3π/7) - tan (2π/5)] / [1 + tan (3π/7) × tan (2π/5)]

⇒ tan [(3π/7) + (2π/5)]

⇒ tan (29π / 35)

The expression [tan (3π/7) - tan (2π/5)] / [1 + tan (3π/7) × tan (2π/5)] as a single trigonometric function will be tan (29π / 35).

More about the trigonometry link is given below.

https://brainly.com/question/22698523

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What is the quotient of the rational expressions shown below? Make sure
your answer is in reduced form.
x2 + 5x +6/x-6/x^2-9/2x-12

Answers

Picture of the right answers

Hence, the quotient of the rational expression given below is x-3.

How to solve?

To solve the division we will use basic properties of rational numbers here.

The first step is to factor numerator/denominator if possible.

To divide the expressions follow the following steps

1.leave the first fraction as it is

2. Convert division to multiplication

3.Turn the second fraction upside down

([tex]x^{2}[/tex]+5x+6)/x-6 / ([tex]x^{2}[/tex]-9)/2x-12

=([tex]x^{2}[/tex]+5x+6)(2(x-6))/([tex]x^{2}[/tex]-9)(x-6)

=2([tex]x^{2}[/tex]+5x+6)/[tex]x^{2}[/tex]-9

By splitting the quadratic equation into factors we get,

[tex]x^{2}[/tex]+5x+6=(x+2)(x+3)

and using the formula [tex]a^{2}[/tex]-[tex]b^{2}[/tex]=(a-b)(a+b) we get [tex]x^{2}[/tex]-9=(x-3)(x+3)

=2(x+3)(x+2)/(x+3)(x-3)

=2(x+2)/(x-3)

hence, the quotient of the given ration expression is x-3.

Learn more about solving rational expressions

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-4x + 10y

X=5
Y=7
Find the value of the algebraic expression

Answers

Answer:

50

Step-by-step explanation:

-20+70=50

what was josquin des prez 3 favorite pieces? ​

Answers

Answer:

While in Ferrara, Josquin wrote some of his most famous compositions, including the austere, Savonarola-influenced Miserere, which became one of the most widely distributed motets of the 16th century; the utterly contrasting, virtuoso motet Virgo salutiferi; and possibly the Missa Hercules Dux Ferrariae, which is ...

Step-by-step explanation:

Use 50% as the percentage amount taken off of 199.99. Please help me

Answers

Answer:

199.49

Step-by-step explanation:

Answer:

199.49

Step-by-step explanation:

Hope this helped have an amazing day!

Money is put into two accounts. Account A earns 3.5% interest annually, and account B eanrs 2.6% interest annually. Assuming $20,000 is split evenly among the accounts and interest is not compounded, how much interest would be earned in total after 6 years?

Answers

Answer:

$3360 combined. $1560 from acct b and $2100 from acct a

You wonder if one's age is independent of whether or not one's willingness to wear masks in public. You ask 100 people whether they are wearing masks in public or not and whether they are under 20 years old, between 20 and 39, between 40 and 59, or 60 or above. Using your data, you calculate a test statistic of 16.5. Using a critical value of 7.82, what is your statistical conclusion

Answers

Answer:

One's age is not independent of one's willingness to wear masks in public.

Step-by-step explanation:

The hypothesis for the study can be defined as follows:

H₀: One's age is independent of one's willingness to wear masks in public.

Hₐ: One's age is not independent of one's willingness to wear masks in public.

It is provided that the test statistic value is, t = 16.5.

And the critical value of the test is, c = 7.82.

t = 16.5 > c = 7.82

Since the  test statistic value is more than the critical value, the null hypothesis will be rejected.

Thus, concluding that one's age is not independent of one's willingness to wear masks in public.

answer the question in the photo , its the easy one please help me ;((

Answers

9514 1404 393

Explanation:

The problem statement tells you what to do.

  25^(n-1) +125 -6·5^n = 0 . . . . . subtract 6·5^n

  (5^2)^(n-1) -6·5^n +125 = 0 . . . . express 25 as a power of 5

  5^(2n-2) -6·5^n +125 = 0 . . . . . eliminate the double layer of exponent

  (5^-2)(5^n)^2 -6·5^n +125 = 0 . . . . . use 5^n where possible

  (1/25)y^2 -6y +125 = 0 . . . . . . . substitute y = 5^n

  y^2 -150n +3125 = 0 . . . . . . . . . multiply by 25

_____

The applicable rules of exponents are ...

  (a^b)^c = a^(bc)

  (a^b)(a^c) = a^(b+c)

  a^-b = 1/a^b

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