At the end of the day, Mr. Díaz drains the pool. The equation
y = -50x + 300 can be used to find y, the number of gallons of
water left after draining the pool for x minutes. Graph the
equation. How long does it take to drain the pool? Explain.

Answers

Answer 1

Answer: 6 minutes.

Step-by-step explanation: You can use a graphing calculator to see the exact graph, but you're trying to figure out what value of x gives you a y of 0. -50 times 6 is 300, plus 300 equals 0.

Answer 2

The graph of the equation y = -50x + 300 is a straight line, and plotted below. The time it take the pool to drain, according to this equation, is  6 minutes.

How do we make graph of a function?

Suppose the considered function whose graph is to be made is f(x)

The values of 'x' (also called input variable, or independent variable) are usually plotted on horizontal axis, and the output values f(x) are plotted on the vertical axis.

They are together plotted on the point

(x,y) = (x, f(x))

This is why we usually write the functions as:

y = f(x)

For this case, we're specified that:

y = the number of gallons of water left after draining the pool for x minutes.The relationship between x and y given is: y = -50x + 300

Take two different values of x, let it be 0 and 1.

Then, the value of y we get is:

Case 1: x = 0:

[tex]y = -50x + 300\\y = -50 \times 0 + 300\\y = 300[/tex]

Thus, one point on the equation y = -50x + 300 is (0,300)

Case 2: x = 1:

[tex]y = -50x + 300\\y = -50 \times 1 + 300\\y = 300 - 50 = 250[/tex]

Thus, another point on the equation y = -50x + 300 is (1,250)

Plot these points taking x on horizontal and y on vertical axis. Then join those two points by a straight line. This is the graph of the considered equation as equation of type [tex]y = mx +c[/tex] is a straight line's equation and for straight line, two of its points are sufficient to plot it.

The graph is given below.

Since we know that:

y = number of gallons of water left after draining the pool for x minutes,

so when the pool drains of fully, there will be no water left, or y = 0.

Putting y = 0 in the equation y = -50x + 300, we get:

[tex]y = -50x + 300\\0 = -50x + 300\\\\\text{Adding 50x on both the sides}\\\\50x = 300\\\\\text{Dividing both the sides by 50}\\\\x = \dfrac{300}{50}= 6[/tex]

Thus, when y= 0, we get x = 6, so when the fully filled pool is drained for 6 minutes, the whole pool gets drained (for this case).

Thus, the time it take the pool to drain, according to this equation, is  6 minutes. The graph of the equation y = -50x + 300 is given below.

Learn more about graphing functions here:

https://brainly.com/question/14455421

#SPJ2

At The End Of The Day, Mr. Daz Drains The Pool. The Equationy = -50x + 300 Can Be Used To Find Y, The

Related Questions

1. Simplify the problem below -3x^-2​

Answers

Answer: -3/x^2

Step-by-step explanation:

Hope this helps

Answer:

-3/x^2

Step-by-step explanation:

Mia is playing sseveral rounds of a word game. In each coordinate pair,x shows the number of the round and y shows mia's score for that round. Round 1: (1,3) round 2: (2,6) and round 3: (3,3). In round 4, Mia scores the same number of points as in round 2 and 3 combined. What is the coordinate pair that represents mia's score for round 4

Answers

Answer:

(4,9)

Step-by-step explanation:

Given

Round 1: (1,3)

Round 2: (2,6)

Round 3: (3,3)

Required

Determine the coordinate of Round 4

Since, Mia score is round 2 and 3 combined;

We have:

Round 4 = 6 + 3

Round 4 = 9

Hence:

The coordinates is (x,y)

Where

x = Round number

y = Score

So, we have: (4,9)

Round 4:

(4, 9)

x = round so 4

y = score of round 2 and 3 combined so 9 (6 + 3)

what is 2.25 x 10 to the 4 power in standard form?

Answers

Answer:

Here's how to solve.

Step-by-step explanation:

10 to the 4th power= 10,000

So it would be 2.25*10,000

22,500 would be your answer.

Write equation in slope intercept form (x=mx+b). Find the slope (x) and the y-intercept (b) of the line

Answers

Answer:

slope=.5

intercept= 1

Josiah downloads 44 songs, including 16 songs by his favorite band.
Express as a decimal the number of songs by his favorite band that Josiah downloaded out of the total number of downloads

Answers

Answer:

0.363636

Step-by-step explanation:

44/1=16/x

44x=16

x=0.363636

12 out of 15 students play in the school band. In a class of 45 students, how many do NOT play in the band?​

Answers

Answer: 36

12 out of 15 people play in the school band. In the class, 36 do not play.

12:15 is equal to a ration of 36:45.

So, it is the answer. 36 out of 45 people in the class play in the band.

Hope this helps!

Answer:

9 I think

Step-by-step explanation:

I wanted to simplify 12 out of 15 and I did by dividing 3 out of both of them which would now equal 4 out of 5. I know that 4 out of 5 is 80%. so, I did 80 % of 45 which equals 36 which means 36 people were in band. So now you minus 36 from 45 which is 9

9 people did not play in band

A parachute is descending at a rate of 28 feet per minute. Find the total change in altitude of the parachute after 4 minutes.

Answers

Answer:

The parachute descended 112 feet

Step-by-step explanation:

ANSWER I ADDED EXTRA POINTS BUT ANSWER RIGHT AND EXPLAIN YOUR ANSWER!!!! 2 QUESTIONS...


24.) What is the equation in slope-intercept form of the line that passes through the point (2, -2) and is perpendicular to the line represented by y= 2/5x + 2 ?
A) y= 5/2x - 7
B) y= 5/2x + 7
C) y= -5/2x - 3
D) y= -5/2x + 3
25.) Suppose the linear cost function C(x) = 6x gives the cost for buying x items. If the items are sold in packages of 10, and no one can buy more than 5 packages, then the RANGE of the function C is
A) [0, 50]
B) [5, 10]
C) {0, 6, 12, 18, 24, 30}
D) {0, 60, 120, 180, 240, 300}

Answers

Answer:

24) D

25) D

Step-by-step explanation:

24) D

We want to find the equation of a line (in slope-intercept form) that passes through (2, -2) and is perpendicular to [tex]y=\frac{2}{5}x+2[/tex].

First, let's find the slope of our new line.

Remember that perpendicular slopes are negative reciprocals of each other.

Therefore, to find the slope of our new line, we will flip our old slope and add a negative.

Therefore, the slope of our new line is -5/2.

Now, we can use the point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

Where m is the slope and (x₁, y₁) is a point.

So, let's substitute -5/2 for our slope and (2, -2) for our point (x₁, y₁). This yields:

[tex]y-(-2)=-\frac{5}{2}(x-2)[/tex]

Simplify:

[tex]y+2=-\frac{5}{2}(x-2)[/tex]

Let's convert this to slope-intercept form. Distribute the right:

[tex]y+2=-\frac{5}{2}x+5[/tex]

Subtract 2 from both sides. So, our equation is:

[tex]y=-\frac{5}{2}x+3[/tex]

Our answer is D.

25)

We know that the cost for buying x items is given by the function:

[tex]C(x)=6x[/tex]

We also know that the items are sold in packages of 10 only. And no one can buy more than 5 packages. In other words, we can buy 0, 1, 2, 3, 4, or 5 packages.

So, let's see how much it will be if we buy 0 packages. This will just be:

[tex]C(0)=6(0)=\$0[/tex]

If we buy 1 package, there will be 10 items in them. So:

[tex]C(10)=6(10)=\$60[/tex]

If we do this for 2 packages (20 items), 3 packages (30 items), and so on, we will get:

[tex]C(20)=6(20)=\$120\\C(30)=6(30)=\$180\\C(40)=6(40)=\$240\\C(50)=6(50)=\$300[/tex]

So, our range is:

[tex]\{0, 60, 120, 180, 240, 300\}[/tex]

The correct answer is D.

And we're done!

Mark bought three pairs of shorts and one pair of shoes. If the shoes cost $25 and he spent
$78.85 before tax, how much do each pair of shorts cost?

Answers

Answer:

17.95 :)

Step-by-step explanation:

25-78.85= 53.85, and 53.85/3= 17.95 so each pair of shorts costed 17.95

Sam's Furniture Store places the following advertisement in the local
newspaper. Write a system of equations for the three combinations of
furniture. What is the price of a love seat?*
Write a system of equations for the word problem and solve it. ONLY input your answer for how
much a love seat cost.
SAM'S
Store
Stand kve seat
$1300
$1400
$1600
Sols and two chairs
Safa, love seat, and one chair
Your answer

Answers

Answer:

1. The system of equations is given as follows;

S + L = $1,300................(1)

S + 2·C = $1,400............(2)

S + L + C = $1,600.........(3)

Where;

S = The cost of a sofa

L = The cost of a love sea

C = The cost of a single chair

2. The cost of a love sea, L is $500

Step-by-step explanation:

1. The given information are;

The price of sofa and love sea = $1,300

The price of sofa and two chairs = $1,400

The price of sofa, love sea, and one chair = $1,600

Let the cost of a sofa = S

Let the cost of a love sea = L

Let the cost of a chair = C

Therefore, we have;

S + L = $1,300................(1)

S + 2·C = $1,400............(2)

S + L + C = $1,600.........(3)

2. From equation (1), we have;

L = $1,300 - S

Similarly, from equation (2),we have;

C = ($1,400 - S)/2

Substituting the values of L and C in equation (3), we have;

S + $1,300 - S + ($1,400 - S)/2 = $1,600

Which gives;

($1,400 - S)/2 = $1,600 - $1,300 = $300

$1,400 - S = 2 × $300 = $600

$1,400  = $600 + S

$600 + S = $1,400

S = $1,400 - $600 = $800

S = $800

The cost of a love seat, L, is given from the relation L = $1,300 - S, above, which gives;

L = $1,300 - $800 = $500

The cost of a love sea, L is $500 .

Need Helps ASAP!
Complete the statements below with the process used to achieve steps 1-4
Answers for each step:
Multiply, add, subtract, divide.

Answers

Step 1. Multiply

Step 2. Subtract

Step 3. Add

Step 4. Divide

What is m∠TVU?

m∠TVU = __°

Answers

[tex]4x + 3 = 3x + 12[/tex]

Both sides minus 3

[tex]4x = 3x + 12 - 3[/tex]

[tex]4x = 3x + 9[/tex]

Both sides minus 3x

[tex]4x - 3x = 9[/tex]

[tex]x = 9[/tex]

So :

TVU = 3(9)+12 ----¢ TVU = 27 + 12

TVU = 39°

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

Find the sum or difference of the polynomials.

(7x2 + 5x −3) +(5x2 −9x +6)

Answers

Answer:

12x2−4x+3

Step-by-step explanation:

Please help me out with these 2 questions! Legit answers only please!

Answers

Answer:

1.) 12 hours   2.) She made a multiplying error in the table.

Step-by-step explanation:

1.)

First, let's find the slope of this equation:

m = 135 - 81 / 5 - 3

m = 54/2

m = 27

Therefore, the equation should be y = 27x.

Now we substitute 324 for y and solve for x:

324 = 27x

12 = x (Divided 27 on both sides.)

Therefore, someone would have to work 12 hours in order to earn $324.

2.)

For this problem, it appears Amanda has found the correct equation for her recipe. When taking a look at the table, however, it seems as though she has made a multiplying error.

THIS IS MY LAST QUESTION SO CAN SOMEONE HELP
ME OUT

Answers

Answer:

Step-by-step explanation:

Hello, as this is reflected over the  y=o line, it does not change the value for x so this is (3,2)

and the reflection over y=0 line changes the y in -y

thanks

does the equation y = 3x+6 represent a proportional relationship?

Answers

Yes it is ok that’s the answer

–4(5x)
simplify .......

Answers

Answer:

-20x.....

Step-by-step explanation:

–4(5x)

-20x

hi help and you get 100 points

Answers

I know all but 14. and 14. but number 10. is -1.89 11. is 1.86 and 12. is 6.24.

Answer:

Okay so 2+2 = 4

Step-by-step explanation: 349609658959603589657045863408w8024306835+1=349609658959603589657045863408w8024306836

Find the value of x, Need help--- test tomorrow!!!!
The answer is 14.
I need to show the equations.

THANK YOU

Answers

(4x + 2) + (2x + 4) =90 is the equation



Solve for w.

W+5/-3 = -2w+6/4

Answers

Answer:

w=19

Step-by-step explanation:    

The Hoffman family has bought one pizza on Friday night every week for the last 10 years.
How many pizzas have they bought on Friday nights? Helpppp

Answers

Answer:520

Step-by-step explanation:.

Maureen, Frank, Tashia, Zane, Eric, and Wesley are addressing envelopes for volunteer work at a local charity. They were given ¾ of an entire mailing to address to be evenly divided among six of them. What fraction of the entire mailing does each person address?

Answers

Answer:

The fraction of the entire mail each person address = 1/8

Step-by-step explanation:

Given that:

number of people addressing envelopes = 6

If they gave out 3/4 of an entire mailing address.

Then, the amount of mailing not addressed is:

= 1 - 3/4

= [tex]\dfrac{4-3}{4}[/tex]

= 1/4

If 6 people shared 3/4 of an entire mailing to address evenly.

Then: each person gets:

[tex]=\dfrac{3}{4} \div 6[/tex]

[tex]=\dfrac{3}{4} \times \dfrac{1}{ 6}[/tex]

= 1/8

The fraction of the entire mail each person address = 1/8

Mrs. Barkley is teaching a class in which the students are decorating gift boxes. She wants the students to decorate gift boxes using a ratio of 4 gems for every 3 ribbon flowers.

Dan used 20 gems for every 15 ribbon flowers.
Mary used 22 gems for every 18 ribbon flowers.
Nancy used 18 gems for every 24 ribbon flowers.
Jason used 26 gems for every 20 ribbon flower.

Which student used the correct ratio?

Answers

Dan used 20 gems for every 15 ribbon flowers

Rewrite in simplest form 4(-6g-10h)+3h-4(-3h-10g)

Answers

This is the answer -64g-49h

PLEASE HELPWhich line has an equation of Y-5X+4 in slope-intercept form?
a line passing through the points (1, 9) and (3, 19)
a line passing through the points (2, -14) and (4,-24)
a line passing through the points (1, 1) and (3, 11)
a line passing through the points (2. -6) and (4, -16)​

Answers

Answer:

a line passing through the points (2, -6) and (4, -16)

Step-by-step explanation:

y=-5x+4

you plug in the x value and put the y value on the left side of the equation

for example

-6 = -5(2) + 4

then solve to see if it works

-5(2) = -10 + 4 = -6

(2, -6) works

-16 = -5(4) +4

-5(4) = -20

-20 + 4 = -16

(4, -16) works

What is the greatest common factor of 45, 50, 84?

Answers

Answer:

the greatest common factor is B - 1

Step-by-step explanation:

not 5 because 85 doesn't end with 0 or 5

not 3 because 5+0 doesn't equal a multiple of 3

not 2 because 45 is odd

not 0 because that's never an answer

i want the ans to this ques​

Answers

Answer:

here you go..............

Answer the riddle!
I speak without a mouth and hear without ears. I have no body, but I come alive with wind. What am I?

PS: DO NOT LOOK UP!

Answers

I think it’s echo correct me if I’m wrong

You are an echo, I believe. Right?

60 percent of what number is 30?

Answers

Answer:

the answer willl be 50%  

The 60 percent of 50 equals 30.

To find what number is 60 percent of 30, you can set up the following equation:

0.60 * x = 30

Here, 'x' represents the unknown number that is 60 percent of 30. To solve for 'x,' divide both sides of the equation by 0.60:

x = 30 / 0.60

Now, perform the division:

x = 50

Therefore, 60 percent of 30 is 50. In other words, 50 is the number you are looking for, which is 60 percent of 30. You can verify this by calculating 60 percent of 50:

0.60 * 50 = 30

As expected, 60 percent of 50 equals 30.

To know more about percent:

https://brainly.com/question/31323953


#SPJ6

4(2a+3)=-3(a-1)+31-11a

Answers

Answer:

a=1

Step-by-step explanation:

Other Questions
Are x(3x) and 4x equivalent? ABC and CDE similar right triangles. The coordinates of all the vertices are integers.A: The relationship between the slope of AC and the slope of CE cannot be determined, because the triangles are congruent. B:The slope of AC is equal to the slope of CE . This this because ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is the same for AC as for CE C:The slope of AC is greater than the slope of CE . This is because the ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is greater for AC than for CE .D:The slope of AC is less than the slope of CE . This is because the ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is less for AC than for CE . Read the excerpt from The Diary of a Young Girl.Father finally came home around five o'clock, and we called Mr. Kleiman to ask if he could come by that evening. Mr. van Daan left and went to get Miep. Miep arrived and promised to return later that night, taking with her a bag full of shoes, dresses, jackets, underwear and stockings. After that it was quiet in our apartment; none of us felt like eating. It was still hot, and everything was very strange.Which detail from the excerpt reflects the mood of uneasiness and anxiety?Miep arrived and promised to return later that nightwe called Mr. Kleiman to ask if he could come by that eveningFather finally came home around five o'clockIt was still hot, and everything was very strange. i dont know help plz? Yall help me with this and how you got it i need to show my work Which action could a student take to show a transverse wave A:blow up a balloon B:shake a rope from side to sideC:shout across a soccer field D:Knock on a door what's the answer? pls help A scientist used a model to predict the path of a hurricane. The hurricane followed a similar path but did not follow the exact path that was predicted. How does this exampledemonstrate a limitation of models?O Models cannot be used to predict things.O Models can be used to predict weather events before the event occurs.O Models cannot account for how every factor may suddenly change.O Models can only be used to show physical structures, not events such as hurricanes. Find the slope of the line that passes throughthe two given points: (2, 3) and (6, -13) According to the video, which abilities and skills do Human Resources Managers need to have? Check all that apply.math skillsin-depth knowledge of the company's productsensitivity to other people's needsspeaking skillswriting skills Prefix modifiers of metric measures are based on multiples ofwhat number?A. 100B. 20C. 5D. 10 PLEASE HELP IMMEDIATELY Which statement best describes how nearly all rock is formed?A. Soil gradually hardens beneath Earth's surfaceB. A different type of rock is broken down or changes inin some wayC. Fire, water, or air cools into layers of rockD. A mixture of minerals separates into several pure minerals. -0-1"-0-20-15-100-5 Remplacez avec led pronoms personnels a) il a recite a le poemeb) Elle a pense ses parents c) tu as telephone aud voisins d) Donne de argment s il te plait! Three times a number that is decreased by four is sixty-two. Find the number. HELP ME PLEASE !!!!! The Peace Party never had the intention of making Texas an independent republic.Please select the best answer from the choices providedTF Qu significa megadiverso? Answer this please need help right nowObjects1. Plastic Bottle2. Plastic Bottle Is this right? Pls help ;-;