Mathematics College

A full 17 oz bottle of spring water is leaking half of an ounce a minute into an empty bottle. How long will it take for the two bottles to have the same amount of water

Answers

Answer 1

Answer:

8.5 minutes

Step-by-step explanation:

the bottle will have leaked half into the 2nd bottle, meaning the 2nd bottle has half too

Answer 2

It will take 17 minutes for the two bottles to have the same amount of water.

What is unit rate?

Something calculated for one is called unit rate.

Given that, A full 17 oz bottle of spring water is leaking half of an ounce a minute into an empty bottle.

To have same amount of water both the bottles will have 17/2 = 8.5 ounces of water in them,

Since, it takes a minute to leak or fill half of an ounce,

Therefore, one ounce will take 2 minutes.

Therefore, 8.5 ounces will take = 8.5×2 = 17

Hence, it will take 17 minutes for the two bottles to have the same amount of water.

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Related Questions

Need help. Image is attached below.

Answers

Answer:

Step-by-step explanation:

the only bracket that gives you x=-4 is the first one, the other one is only if the value is above -4

filling in the top one you get [tex]\sqrt[3]{5-4}[/tex] which equals 1

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

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:

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

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

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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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:

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:

Step-by-step explanation:

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

what is 69 to the power of 69

Answers

Answer:

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,

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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How many 2/3 cup servings are in 6 cups of cereal?
giving brainliest

Answers

Answer:

its 4

Step-by-step explanation:

9 servings (6 divided by 2/3 is 9, and 9 times 2/3 is 6)
Hope this helps!

The difference between the areas of the figures is less than 4.

An absolute value inequality that represents this situation is ___

The solution of the inequality is ___

Answers

Answer:

1. |40 – 4x| < 4

2. 9 < x < 11

Step-by-step explanation:

We'll begin by calculating the area of each figure. This can be obtained as follow:

For triangle:

Area = ½ × base × height

Base = 8

Height = 6

Area =?

Area = ½ × 8 × 6

Area = 4 × 6

Area = 24

For Rectangle:

Area = length × breadth

Length = x – 4

Breadth = 4

Area =?

Area = (x – 4) × 4

Area = 4x – 16

Summary:

Area of triangle (Aₜ) = 24

Area of rectangle (Aᵣ) = 4x – 16

1. Writing an absolute value for the inequality.

From the question given above, we were told that the difference between the areas of the figures is less than 4. This can be written as:

Aₜ – Aᵣ < 4

Area of triangle (Aₜ) = 24

Area of rectangle (Aᵣ) = 4x – 16

24 – (4x – 16) < 4

Simplify

24 – (4x – 16) < 4

Clear bracket

24 – 4x + 16 < 4

24 + 16 – 4x < 4

40 – 4x < 4

Thus, we can write the absolute value for the above inequality as:

|40 – 4x| < 4

2. Determination of the solution of the inequality.

This is illustrated below:

|40 – 4x| < 4

Thus the above equation can be written as

– 4 < 40 – 4x < 4

Subtract 40 from both side

– 4 – 40 < 40 – 4x – 40 < 4 –40

– 44 < – 4x < – 36

Divide through by –4

– 44/–4 < x < – 36/–4

11 > x > 9

Note: the inequality sign changed because we divided by a negative number

Thus, 11 > x > 9 becomes 9 < x < 11

Therefore, the solution to the inequality is 9 < x < 11

Can someone help me please

Answers

Answer:

i cant see the picture

Step-by-step explanation:

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

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]

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

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:

A teacher spent $240.75 including tax on school supplies. If the tax rate is 7%, find the price of the supplies before taxes. PLEASE HELP will mark as Brainliest

Answers

Answer:

$225.

Step-by-step explanation:

Let the price before taxes be x dollars. Then we have the equation:

x + 7% of x = 240.75

x + 0.07x = 240.75

1.07x = 240.75

x = 240.75/1.07

= $225.

what is a polynomial

Answers

A polynomial is an expression that contains several terms.

Examples include...

5x +1

5x^(-2) +1

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