A tank full of water is leaking at a constant rate for 15 minutes. The equation
y=-8x+ 500
describes the amount of water in the tank, where y is the number of liters and
xis the number of minutes that has elapsed since the tank started to leak.
Which statement is true?

A. There were 8 liters in the tank when the leak started, and it is decreasing by 500 liters per minute.

B. There were 8 liters in the tank when the leak started, and it is increasing by 500 liters per minute.

C. There were 500 liters in the tank when the leak started, and it is decreasing by 8 liters per minute.

D. There were 500 liters in the tank after 15 minutes, and it is
decreasina bv 8 liters per minute.

Answers

Answer 1

Answer:

C. There were 500 liters in the tank when the leak started, and it is decreasing by 8 liters per minute.

Step-by-step explanation:

-8x is the rate of the leak and 500 is the initial value for water in the tank.


Related Questions

which shows the equation in standard form, y=-1/2x-7

Answers

Answer:

I think its x+2y= -14

Step-by-step explanation:

A restaurant starts with 10 dozen
pieces of cornbread. Every order
receives 2 piece of cornbread. At the
end of their lunch rush, there are 28
pieces of cornbread left. How many
orders did the restaurant take?

Answers

Answer:

46 orders.

Step-by-step explanation:

(10*12) - 2x = 28

120 - 2x = 28

-2x = 28 - 120

-2x = -92

x = -92/2

x = 46

Natalee wanted to demonstrate the volume of a square pyramid. To do this, she took a hollowed out pyramid that has a base of 25 square inches and a height of 5 inches and filled it with water. She then dumped this water into a hollowed out cube that has a volume of 125 cubic inches. Enter the amount of times that she will need to dump the water from the pyramid into the cube to completely fill the cube

Answers

Answer:

The answer is below

Step-by-step explanation:

Natalee transferred water from a square pyramid to a cube. To calculate how many times she will need to dump the water from the pyramid into the cube to completely fill the cube, we divide the volume of the cube by the volume of the square pyramid. Hence:

Number of times = volume of cube / volume of pyramid

The perimeter of the pyramid base = 25 in, hence the length of one side of the bae = 25 / 4 = 6.25 in

Volume of square pyramid  = base² × (height / 3) = (6.25 in)² * (5 in / 3) = 65.1 in³

Volume of cube = 125 in³

Number of times = 125 in³ / 65.1 in³ = 1.92

The amount of times that she will need to dump the water from the pyramid into the cube to completely fill the cube is 1.92.

What is volume?

The capacity of a container of any shape is called the volume.

Natalee transferred water from a square pyramid to a cube. Then,

Given is the perimeter of the pyramid base = 25 in

So, the length of one side of the base b= 25 / 4 = 6.25 in

Volume of square pyramid  = b² × (h/ 3) = (6.25 in)² * (5 in / 3) = 65.1 in³

Volume of cube = 125 in³

Number of times = volume of cube / volume of pyramid

Number of times = 125 in³ / 65.1 in³ = 1.92

Learn more about volume

https://brainly.com/question/17615619

#SPJ5

ANSWER ASAP!!! A trash compactor can compress 2/3 kilograms of trash in 1 minute. How many minutes would it take to compress 1/4 kilograms?
A. 1/4 × 2/3 = 1/6
B. 2/3 + 1/4 = 11/12
C. 1/4 ÷ 2/4 = 3/8
D. 2/3 ÷ 1/4 = 8/3

Answers

The answer is D if correct

Time taken to compress 1/4 kilogram trash = 3/8 minutes

The correct option is C.

What is division?

The division is the process of repetitive subtraction. It is the inverse of the multiplication operation. It is defined as the act of forming equal groups.

Given,

Trash compactor can compress 2/3 kilogram trash in 1 minute

Time to compress 1 kilogram = 1 ÷ 2/3

Time to compress 1/4 kilogram = 1/4 × 1 ÷ 2/3 = 1/4 ÷ 2/3

                                                    = 1/4 × 3/2 = 3/8 minutes

Hence, 3/8 minutes is the time taken to compress 1/4 kilograms of trash.

Learn more about division here:

https://brainly.com/question/3315095

#SPJ5

Which statement correctly describes the expression (–12)7? One factor is positive and aone factor is negative, so the product will be negative.
bBoth factors are negative, so the product will be negative.
cBoth factors are positive, so the product will be positive.
dOne factor is positive and one factor is negative, so the product will be positive

Answers

Answer:

One factor is positive and one factor is negative, so the product will be negative.

Step-by-step explanation:

Answer:

One factor is positive and one factor is negative, so the product will be negative.

Step-by-step explanation:

5 times 5 times 1 times 1 times 1 times 2

Answers

Answer:

50

Step-by-step explanation:

5 x 5 = 25

25 x 1 x 1 x 1 = 25

25 x 2 = 50

hope this helps

<3

: )

Answer:

50

Step-by-step explanation:

A conductor is mapping a trip and records the distance the train travels over certain time intervals.

time (hours) distance (miles)
0.5 22.5
1 45
1.5 67.5
The train travels at a constant speed. What is its speed?
:)

Answers

In half an hour the trains travels 22.5 miles

Answer:

22.5

Step-by-step explanation:

If a cheetah travels 50 miles per day, how many feet per hour does the cheetah travel?


HELP FAST

Answers

26400 is what they travel in feet in a day divide that by 24 and that should be your answer

(1,2), (4,4) in slope intercept form

Answers

Y=2/3x+1
2/3x because from (1,2) to (4,4) the line goes up 2 and right 3 and 2/3 is the most simplified that gets with whole numbers.
+1 because with that slope following the line it crosses the y axis at 1 (y intercept)
I am not sure but that’s what I got

find the slope of (-3,1) and (2,-9)

Answers

Answer:

The slope would be -2

Step-by-step explanation:

-9-1/2+3= -2

How do you write 94.44% as a decimal

Answers

Answer:

Step-by-step explanation:

an idiot calls someone "idiot" LOL.

Answer:

0.9444

Step-by-step explanation:

all I've done is i took the decimal point and placed it next to the 9 and added a zero on the left side of the decimal point .i hope this helped.

What is the image of point A(1, 3) after a dilation with a scale factor of -4

Answers

The point for A is (-4,-12).

Solve for z: 4 (z+6) -11 = 25
I need to show my work

Answers

Answer:

z=3

Step-by-step explanation:

4(z+6)-11=25

add 11 to both sides

4(z+6)-11+11=25+11

simplify

4(z+6)=36

divide each side by 4

(4(z+6))/4=36/4

Simplify

z+6=9

subtract 6 from each side

z+6-6=9-6

simplify

z=3

Answer:

z=3; plug the equation into a calculator

15PTS PLEASE HELP ASAP!
(dont write random answers pls)
look at the pic attached:

Answers

Answer: Definition of Vertical Angles.

the first one

Answer:

because the arrows are going side ways which means it has to be theorem

Step-by-step explanation:

this is side arrows there is no other answer

Point B has coordinate B(1, –1). What is the coordinate of B' under a scale factor of 3? (1, –1) (3, –3) (–2, 2) (–6, 6)

Answers

Answer:

(3,-3)

Explanation:

create an equation set equal to zero:

3×(1,-1)=0

distributive property:

3×1= 3 ; 3× -1= -3

(3,-3)=0

Answer:

(3,-3)

Step-by-step explanation:

I hope I helped

Give the slope of any line that is perpendicular to the line y = -1/8 x + 5

Answers

Answer:

8

Step-by-step explanation:

To find a slope for a line that is perpendicular to another line, you simply need to take the negative reciprocal of the the original line's slope.  In this case we are already given the slope as the coefficient to x: -1/8.  The negative reciprocal of that is 8/1, or just 8.

y=4x+7 in standerd form

Answers

Answer: Y=4x+7 in standard form is, 4x + 7y = 7

Step-by-step explanation:

can someone please help me!!

Answers

Answer:

The probability is

Step-by-step explanation:

11%

x days/ 4 years = 365.26/ 1 year

Question 2:

33.264 feet/ x miles = 5,280 feet/ 1 mile​

Answers

Answer:

x= 1,461 days

x= 0.0063 feet

Step-by-step explanation:

Set up a fraction and cross multiply, then divide to isolate the x variable

A square has sides lengths of 10 inches. To the nearest tenth of an inch, what is the length of its diagonal?

Answers

Answer:

40

Step-by-step explanation:

!!!Please need now!!!,it’s not hard,ask a second time

Answers

I think 84 degrees................ :)
Answer: x=192 degrees
Explanation:
A triangle is always equal to 180, therefore you would add the insides of it. 52 + 44 = 96 Than you would subtract 96 from 180 = 84 so the inside part of the triangle with the missing amount would be 84. Then that part of the triangle is adjacent so 84 would go on the outside part as well. Then you would multiply 84 by 2 and subtract the 168 from 360 and get 192.

Which of the following is not a solution to the inequality
4x + 1 ≤ 18
A. 4
B. 4.23
C. 4.25
D. 4.27

Answers

Answer: A   4

step by step explmationn

Answer:

C. 4.25

Step-by-step explanation:

You would want to subtract the one so you could subtract it to 18 then divide 4 by 17 to get 4.25

The bill at the restaurant was $80. The customer left a 15 tip. What was the total​

Answers

Answer:

80 plus 15 is 95 so the customer payed $95 at the restaurant.

Step-by-step explanation:

solve i/4 + 3 + -5
-32
-8
8
32

Answers

Answer:

-32

Step-by-step explanation:

SOMEBODY PLEASE HELP QUICK!!! WILL GIVE BRAINLIEST

Carlos says that the XYZ is not congruent to PQR because there is no SSA theorem or postulate.


In two or more complete sentences, explain why or why not Carlos is correct. Justify your answer using triangle congruency postulates, theorems, and definitions.

Answers

Carlos is correct

Since we don't know the length of sides PR and XZ, the triangles can't be congruent by the SSS theorem or the SAS theorem, and since we don't know the measure of angles Y and Q, the triangles can't be congruent by the ASA theorem, the SAS theorem or the AAS theorem. Therefore, Carlos is correct.

Carlos is correct. Since the angles P and X are not included between PQ and RQ and XY and YZ, the SAS postulate cannot be used, since it states that the angle must be included between the sides. Unlike with ASA, where there is the AAS theorem for non-included sides, there is not SSA theorem for non-included angles, so the triangles cannot be proven to be congruent.

How many people will there e be in that year

Answers

Answer:

what year

Step-by-step explanation:

8000 ÷ 4,000,000

SHOW WORK STEP BY STEP

Answers

Answer:

500

Step-by-step explanation:

Answer:

500

put the 8,000 into the 40,000 mark. you will get a five and if you tried to put it in the last two, you would get 0. 8000*5=40000 so subtract 40,000 and you should get a 0 there. keep putting the zeroes until you get to the end.

use standard algorithm to solve
1,457 x 56​

Answers

Answer:

the answer is 81,592 cuz you have to multiple

evaluate the expression for n=6 (your answer will be a number)
3n - 3

Answers

Answer:

15

Step-by-step explanation:

3(6) - 3 =

18 - 3 =

15

the answer should be 15

7x + 31= 8x- 1 (27x+3)
-
3

Answers

AnswEr :

⠀⠀⠀⠀

The value of q is -1.42

⠀⠀⠀⠀

______________________

⠀⠀⠀⠀

➤ How to solve ?

⠀⠀⠀⠀

That's quite easy but you need to recall the BODMAS rule .

⠀⠀⠀⠀

BODMAS rule states the correct sequence to solve an equation . First we need to solve the bracket part then solve if any of is present moving further to division then multiplication carrying with addition atlast subtraction

⠀⠀⠀⠀

In this equation we will solve the bracket then we will apply further BODMAS rule

⠀⠀⠀⠀

━━━━━━━━━━━━━━━━━

SolutiOn :

➠ 7x + 31 = 8x - 1 ( 27x + 3 ) -3

➠ 7x + 31 = 8x - 27x - 3 - 3

Now, we will bring the variable on left hand side and constants on right hand side

➠ 7x - 8x + 27x = - 31 - 3 - 3

➠ 26x = -37

➠ x = -37/ 26

➠ x = - 1.42

∴ The value of x is -1.42 .

━━━━━━━━━━━━━━━━━

Other Questions
7. A 1000-kg car comes to a stop without skidding. The car's brakes do 50,000 J of workto stop the car. Which of the following was the car's velocity when the brakes wereinitially applied? Find X HELP ME please!! Rewrite the following sentences using direct object pronouns.1. Yo compr los boletos.2. Ella hizo las reservaciones.3. Mi hermano hizo la maleta.4. La agente de viajes confirm el vuelo.5. Nosotros mandamos tarjetas postales a ellos. Do you consider pennies to be good luck? They sure are for 12-year-oldJavon Daughtry. He has amassed a huge collection of pennies, nowworth over 2,000 dollars! Javon started his collection by asking hisparents and relatives if he could have the pennies from their changejars. Now that they know about his hobby, many people give Javon anypennies they receive. It doesn't cost them much, but it sure adds up.Javon used to roll his coins, but now he weighs and sorts them inbatches of 10 dollars. He plans to use the money to buy his first carsomeday.Which is an objective summary of the passage?A. Though kids like Javon have held on to the dream, coin collectinghas declined in popularity over the past 20 years.B. Javon Daughtry has saved a large amount of money by collectingpennies.O C. Javon Daughtry is a role model for every kid who has ever had adream.O D. Javon weighs and sorts his pennies in batches of 10 dollars. I NEED HELP! WHO EVER ANSWERS FIRST I WILL MARK BRAINLIEST Determine whether the sets are equal, equivalent, both, or neither.{apple, orange, pear} and {pear, apple, orange}A.NeitherB.EqualC.BothD.Equivalent Which of the following examples come from renewable natural resources Write a Python program to keep track of data for the following information in a medical clinic: doctors, patients, and patient_visitsPatients and Doctors have an ID, first name, and last name as common attributes. Doctors have these additional attributes: specialty (e.g. heart surgeon, ear-nose-throat specialist, or dermatologist), total hours worked, and hourly pay. Further, doctors keep track of the patient_visits. A patient_visit has the following attributes, number_of_visits to the clinic, the patient who is visiting, the doctor requested to be visited, and the number of hours needed for consultation. Based on the number of consultation hours, the doctor will get paid.The following functions are required:1. addVisit: this function adds a patient_visit to the doctor. A new visit will NOT be added if the doctor has already completed 40 hours or more of consultation. If this happens, an error is thrown mentioning that the doctor cannot have more visits this week.2. calculatePay: this function calculates the payment for the doctor using the following logic: Each hour is worth AED 150 for the first two visits of the patient and all further visits are billed at AED 50.3. calculateBill: this function calculates the bill for the patient, which displays the doctor's details, patient details, and payment details. An additional 5% of the total is added as VAT.The student is required to identify classes, related attributes, and behaviors. Students are free to add as many attributes as required. The appropriate access modifiers (private, public, or protected) must be used while implementing class relationships. Proper documentation of code is mandatory. The student must also test the code, by creating at-least three objects. All classes must have a display function, and the program must have the functionality to print the current state of the objects. Which of these was an effect of the American victory at Saratoga? * British troops gained confidence General Burgoyne resigned his post Great Britain withdrew from Canada European countries came to the aid of America, WHAT MAKES AN ORCHESTRA DIFFERENT FROM ANY ENSEMBLE? Which of the following is true about the role of the following chief title? *1) Commander in Chief leads all branches all of the military 2) Chief of Party means the president leaves his political party when elected 3) Chief Legislator creates all laws and Congress enforces those laws in each state 4) Chief Executive is granted top advisors elected by the citizens Explain how atoms organize to create larger structures? 2x - 4(x + 1) = 3x2x - 4x 4 = 3x-2x - 4 = 3x ? = ? Hayti, a district in Durham, is an example ofA) a place where African Americans suffered harsh discrimination.B) a self-sufficient African American community.C) an area overrun by white supremacists.D) an area where the shotgun house building boom first began. what is the value on the expression 1/2-(-1/3+2/5)? How is the structure of Passage 2 different from the structure of Passage Passage 2 presents different viewpoints of the same event, whereas Passage 1 is limited to the mother's point of view. Passage 2 highlights important moments through flashbacks, whereas Passage 1 focuses on a chronological narrative. Passage 2 uses an analogy to demonstrate the lesson, whereas Passage 1 allows the narrator to learn a lesson through her experience. Passage 2 builds on a conflict as the poem progresses, whereas Passage 1 features a conflict that grows and grows over the course of the story. write the exspression for 50 time the sum of 64 and 36 Given g(x) = (x - 3)2 and h(x) = 2x + 1, which of the following is (g.h)(5)?(A) 35(B) 38(C) 44(D) 45 Does the graph represent a function? Which of the following base pairs would be found in a cell