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

(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

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:

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:

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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

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

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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).

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:

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:

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:

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

!!!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.

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

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:

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

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 .

━━━━━━━━━━━━━━━━━

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.

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

Answers

Answer:

-32

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

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

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

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

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

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

Answers

Answer:

I think its x+2y= -14

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

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.

How many people will there e be in that year

Answers

Answer:

what year

Step-by-step explanation:

can someone please help me!!

Answers

Answer:

The probability is

Step-by-step explanation:

11%

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:

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