Henry is filling up his fish tank with water at a constant rate.

At 2 minutes the water level is 16 cm. At 8 minutes the water level is at 34 cm.

Explain how you figured out the water level at 0 minutes.

Answers

Answer 1

Answer:

It would have started to be filled at 10 cm

Step-by-step explanation:

FInd teh difference between 8 and 2 which is 6

Find the difference between 34 and 16 which is 18

Divide 18 by 6 which is 3

Subtract 2(3) = 6 by 16 which is 10

Answer 2

Using the linear system to solve the problem. Then the water level at 0 minutes is 10 cm.

What is the linear system?

It is a system of an equation in which the highest power of the variable is always 1. It is a combination of infinite points side by side.

Given

Henry is filling up his fish tank with water at a constant rate.

At 2 minutes the water level is 16 cm.

At 8 minutes the water level is at 34 cm.

We know that the linear equation

[tex]\rm y = mx +c[/tex]

Where

m be the rate of filling water in the tank.

c be the initial water in the tank.

y be the water level of the tank in cm.

x be the time in minutes.

At 2 minutes the water level is 16 cm. Then

[tex]\rm 16 = 2m + c[/tex]  ...1

At 8 minutes the water level is at 34 cm. then

[tex]\rm 34 = 8m +c[/tex]   ...2

From equations 1 and 2, we have

m = 3, and c = 10

Then the equation will be

[tex]\rm y = 3x + 10[/tex]

For x = 0, then y = 10

Thus, the water level at 0 minutes is 10 cm.

More about the linear system link is given below.

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Related Questions

The work that Ryan did to find the greatest common factor of 48 and 72 is shown below.

Answers

Answer:

D. Ryan found the Least Common Multiple

Answer :

D - Ryan found the least common multiple.

what is a polynomial​

Answers

A polynomial is an expression that contains several terms.

Examples include...

5x +1

5x^(-2) +1

y = -4x - 12
What is the slope(m) and the y-intercept (b)

Answers

Answer:

x=6.0

Step-by-step explanation:

the slope (m) is -4, indicating a downward slope, and the y-intercept (b) is -12,

In the equation y = -4x - 12, the coefficient of x, -4, represents the slope of the line. The slope (m) is the ratio of the vertical change to the horizontal change between any two points on the line. In this case, the slope is -4, indicating that for every unit increase in x, the y-value decreases by 4.

The constant term, -12, represents the y-intercept (b). The y-intercept is the point where the line intersects the y-axis. In this equation, the y-intercept is -12, which means that the line crosses the y-axis at the point (0, -12).

To summarize, the slope (m) is -4, indicating a downward slope, and the y-intercept (b) is -12, representing the point where the line crosses the y-axis.

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4/5 + 3 1/10

Please answer quick (◍•ᴗ•◍)❤​

Answers

Answer:

3 9/10

Step-by-step explanation:

Find the common factor

8/10+3 1/10

3 9/10

Can someone help me please

Answers

Answer:

i cant see the picture

Step-by-step explanation:

WILL GIVE BRAINLIEST!
The estimated total cost, y, of a child's toy is partially based on the number of batteries used, x. The cost per battery is $0.50. They toy itself costs $15. Which equation represent the situation?


a

y = 0.50x - 15

b

y = 15x - 0.50

c

y = 15x + 0.50

d

y = 0.50x + 15

Answers

Answer:

D: 0.50x+15

Step-by-step explanation:

batteries used(each)- x, so you add the x in front of 0.50 representing multiplication between the #

you are doing total cost so you are doing addition (obvously) then its a plain $15 for the toy itself therefore,

y=0.50x+15               (hope this made sense)


What is the equation, in slope-intercept form, of the line that passes through (0, 6) and has a slope of 4 (5 points)

Answers

Answer: y=4x+6

Step-by-step explanation: you replace the variables in the equation with the variables in the point given to find b.

Answer:

[tex]y = 4x+6[/tex]

Step-by-step explanation:

Equation of a line

The equation of a line can be written in the form:

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

Where m is the slope of the line and b is the y-intercept. We are given the value of m=4, thus the equation becomes:

[tex]y = 4x+b[/tex]

To find the value of b, we use the point (0,6):

[tex]6=4*0+b[/tex]

Solving:

[tex]b=6[/tex]

Thus, the equation in slope-intercept form of the required line is

[tex]\boxed{y = 4x+6}[/tex]

Help!!!!!! I need to know if it's right!

Answers

Answer:

I think it's right

Step-by-step explanation:

as -1×-1=+1 (positive 1)

which is different from the answer in step 1 because you needs to get -1 for the correct answer.

-1(x-1)= -x+1  

the real answer is -1(x+1)= -x-1    

Julian factored -1 incorrectly in the second step. The correct option is B.

What is a polynomial?

A polynomial in mathematics is an expression made up of coefficients and indeterminates and involves only the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables.

Given polynomial 2x⁴ + 2x³ - x² - x will be solved as below:-

P = 2x⁴ + 2x³ - x² - x

P = x ( 2x³ + 2x - x - 1 )

P = x ( 2x² [ x + 1 ] -1 ( x + 1 )

P = x ( 2x² - 1 ) ( x + 1 )

Therefore, Julian factored -1 incorrectly in the second step. The correct option is B.

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Is the equation true or false when x = 4?

(3−x28)⋅12=3x

true


false

Answers

Answer:

false

Step-by-step explanation:

the equation x would be -1.04 or 1.03 so it would be false

Answer:

the actual answer is true

Step-by-step explanation:

Examine this algebraic expression:

3x
4
− 2y +
3
7

What are the variables?
What are the coefficients?
3x/4 and –2y
What is the constant?

Answers

Answer:

C/ x and y

A/-2 and 3/4

B/ 3/7

Step-by-step explanation:

i got it right

The variables are x and y, the coefficients are -2 and 3/4, and the constant is 3/7 in the given algebraic expression 3x/4 − 2y + 3/7.

What is the algebraic expression?

Algebraic expressions are mathematical statements that comprise at least two variables or integers.

What are arithmetic operations?

Arithmetic operations can also be described via subtracting, dividing, and multiplying built-in functions.

We have been the given algebraic expression as :

⇒ 3x/4 − 2y + 3/7

Here variables are x and y

The coefficients are -2 and 3/4

The constant is 3/7

Therefore, the variables are x and y, the coefficients are -2 and 3/4, and the constant is 3/7 in the given algebraic expression 3x/4 − 2y + 3/7.

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is 5.8 greater then fifty eight hundreths

Answers

Answer:

no

Step-by-step explanation:

fifty eight hundreths= 5,800

5.8<5,800

Can someone help me with these 2 please thank you :)

Answers

Answer:

11. -0.250

12. 0

4 yards per week in feet per day

Answers

Answer:

1,71429...

Step-by-step explanation:

4yd = 3ft

→12ft per week

12 ÷ 7 = 1,71429

Evaluate y 2 -y 1 x 2 -x 1 given the following values x 1 =10,x 2 =0,y 1 =14 and y 2 =6

Answers

Answer: the answer is 2

Step-by-step explanation:

There is a proportional relationship between a volume measured in cups, c and the same volume measured in tablespoons, t.
3 cups are equivalent to 48 tablespoons.
What is the constant of proportionality for this relationship? What does this mean in terms of volume measured in cups, c and the same volume measured in tablespoons, t?

Answers

Answer:

We really need help someone please help us

Step-by-step explanation:

pls help jwjwkwkwwkwkwkwkwkkwwkkwkwwkkwkw​

Answers

Answer:

o,-3 and 1.5,0

Step-by-step explanation:

You can find a calculator on a website called Desmos that might help answer related questions.

A worker package 150 games in 15 minutes. how many games can he package per minute?

Answers

Answer:

600 games

Step-by-step explanation:

60/15=4

150*4=600

150/15= 10 games per minute


Which of the following angles are congruent?

Answers

Answer:

angle B and angle f

Step-by-step explanation:

im not all that smart but goodluck

The model below is used to represent the area of a
square with a side length of /64 units.

Answers

8. Hope this helpsssss

Answer:

8

Step-by-step explanation:

Because you can count the squares on the side or you can just do the square root of 64.

Pls help me with number 6 and 7 choose 2 answers for number 6 and 3 for 7 !! ILL MARK BRAINLIST !!

Answers

6 is 4.9 and 6.2 but i’m not sure about 7 tho

Answer:

You cant make him brainiest unless more than one person answers so I'm just "answering" so you can give him brainiest

Step-by-step explanation:

PLEASE HELP ASAP!!!

A cone has a volume of 200 in^3 and a
height of 10 in. Find the radius of this cone.

Answers

Answer:

The radius is 4.37 in approximately

Step-by-step explanation:

One class is selling tickets for $2.50 each and has already raised $350.
• The other class is selling tickets for $3.00 each and has already raised $225.

Which equation can be used to find t, the number of tickets each class needs to sell so that the total amount raised is the same for both classes?

Answers

Answer:   2.5t + 350 = 3t + 225

t = 250 btw

Answer:

b

Step-by-step explanation:

b

When a number, half of the number, and a third of the number are added together, the
sum is 275. Find the three numbers.

Answers

Step-by-step explanation:

Let the number be x.

Half of a number is x/2 and a third of the number is x/3

ATQ,

[tex]x+\dfrac{x}{2}+\dfrac{x}{3}=275\\\\\dfrac{6x+3x+2x}{6}=275\\\\\dfrac{11x}{6}=275\\\\x=\dfrac{275\times 6}{11}\\\\x=150[/tex]

Frist no is 150

Second no is 150/2 = 75

Third no is 50

The double number line shows that 4 pounds of tomatoes cost $14. Draw tick marks and write labels to show the prices of 1, 2, and 3 pounds of tomatoes.

Answers

Answer:

every tick is 3.50

Step-by-step explanation:

14/4=3.5

The price of one, two, and three pounds of tomatoes is $10.5. Each quantity is represented by its own number line in a double number line, with corresponding pairs of values lined up.

How are double number lines created?Equal ratios are represented by two parallel number lines in a double number line diagram. The tick marks are in the same places on both number lines.Despite the fact that the other numbers change frequently, the tick marks labeled with 0 always line up.Diagrams with a double number line can show you how two quantities are related in terms of their ratios.They work best when the quantities have different units. (The unit rate is represented by the number 1) Students can more easily "see" that the same ratio can take many different comparable shapes when using double number line diagrams.

Therefore,

Given,

4 pounds of tomatoes cost  = $14

We find  the prices of 1, 2, and 3 pounds of tomatoes

14/4 = 3.5

So,

1 lb = 3.5

2 lbs = 2× 3.5 = 7

3 lbs= 3 × 3.5 = 10.5

Hence, The price of one, two, and three pounds of tomatoes is $10.5.

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I want to find the value of x

Answers

Answer:

WALA NG VALUE ANG X DAHIL INIWAN KA NA NIYA

I hope it’s
8=2+3x
X=2

And

12=2x+2
X=5

Rotation is a ______?

A. Spin or turn
B.slide
C.mirror or flip
D.move

HURRY PLEASE

Answers

Answer:

A) Spin or turn

Step-by-step explanation:

How would you find the quadratic that goes through the point (4,0), the axis of symmetry is x=7, and it also goes through the point (1,5)?

Answers

9514 1404 393

Answer:

  y = (5/27)(x -7)^2 -5/3

Step-by-step explanation:

Use the given points to find the unknowns in the equation.

If the axis of symmetry is x=7, then the equation can be written in the form ...

  y = a(x -7)^2 +b

Filling in the two point values, we have two equations:

  0 = a(4 -7)^2 +b   ⇒   9a +b = 0

  5 = a(1 -7)^2 +b   ⇒   36a +b = 5

__

Subtracting the first equation from the second, we have ...

  (36a +b) -(9a +b) = (5) -(0)

  27a = 5

  a = 5/27

Substituting that value into the first equation gives ...

  9(5/27) +b = 0

  5/3 +b = 0

  b = -5/3

So, the quadratic can be written in vertex form as ...

  y = (5/27)(x -7)^2 -5/3

Lee can type 1 1/3 pages every 15 minutes. How many hours does it take him to to type 10 2/3 pages? Complete the rate table to solve the proportion

Answers

Answer:

The answer is 8 because you need to add 1 1/3 eight times to get 10 2/3

Answer:

It takes two hours

Step-by-step explanation:

Jake needs to buy 120 beverages for a party. What equation, in standard form, determines the number x of 8-packs of juice and the number y of 12-packs of water that Jake can buy?

___ x + ___y = ____

Answers

Answer:

8x+12y=120

Step-by-step explanation:

i took the test

One minute is 1/60 of an hour. What part of an hour is 12 minutes?

Answers

2/10ths of an hour. You do 12/60 and get 0.2

Answer:

12/60 but you want the simplified which is 1/5 or 20%

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