Dana filled the container with 3.5 liters of water. Her mother used 0.75 liters of water for cooking and 1.25 liters for a drink. How much water was left in the container?

Answer:

Random Sample

Random Sample: Each member of the entire population has an equal chance of being selected. Simple Random Sample: You can select groups of size n from the entire population, and every possible group has the same chance of being selected.

Step-by-step explanation:

Answer:

[tex]y=8(0.7)^x[/tex]

Step-by-step explanation:

Next, the battery life decreases by 30% per year. You didn't state if this is linear or exponential, so I'll assume exponential because linear doesn't make much sense in this case..

For an exponential function, the battery life will be decreasing by 30% over the previous year, not over the original. Decreasing by 30% is multiplying by 70%, or just 0.7.

Exponential form:

[tex]y=a(b)^x[/tex]

where a is the original value and b is the percent change.

In your question:

[tex]y=8(0.7)^x[/tex]

The function that represents the battery life y after x years is y = 8(0.7)ˣ.

A quantity grows (or depreciates) exponentially if the increase (or decrease) in the amount is a multiple of the previous amount.

Now it is given that,

Battery life starts = 8 hours

Annual decrease rate = 30% = 0.30

So, battery life after an year = 100% - 30% = 70% = 0.7

Now if battery life y after x years

Annual decrease rate after x years = (0.7)ˣ

Thus battery life, y = 8(0.7)ˣ

Thus, the function that represents the battery life y after x years is y = 8(0.7)ˣ.

Learn more about exponential functions at

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#SPJ2

5 - 6 = -1

-1 - 9  = -10

-10 - 8 = -18

-18 - 5 = -23

-23 - 4  = -27

-27 + 5  = -22

-22 - 5 = -27

-27 -5 = -32

-32 -5  = -37

-37 - 32 = -69

Answer = -69

Answer:

4/5 or .8

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Loss=(C.P)-(S.P)

C.P= x and S.P= y

Loss= x-y

Loss= $(x-y)

Answer:

D) (4, -6, -1)

Answer:

If bill is 28 years older than him, but also 3 times older than him, then you divide 28 by 3, which gives you 9.3. So that means kevin is around 9 1/4 years old and bill is around 37 and 1/4 years old, but you dont ahve to count the fraction if you dont want to, all that matters is the whole number.

Step-by-step explanation:

Bill is 42, while Kevin is 14 years old

Represent Bill's age with B, and Kevin's age with K.

So, we have the following equations

B = 3K and B = 28 + K

Substitute 3K for B in the second equation

[tex]3K = 28 + K[/tex]

Collect like terms

[tex]-K + 3K = 28[/tex]

[tex]2K = 28[/tex]

Divide both sides by 2

[tex]K = 14[/tex]

Substitute 14 for K in the first equation

[tex]B =3 \times 14[/tex]

[tex]B =42[/tex]

Hence, Bill is 42, while Kevin is 14 years old

Read more about equations at:

https://brainly.com/question/2972832

Answer:

the answer is 3/2

Step-by-step explanation:

2x =3

x= 3/2 when you divide both sides by 2

Answer:

I might be wrong but 1 and 1/2

Step-by-step explanation:

I divided both sides by 2 to isolate the x

I got x = 3/2 which also equal 1 1/2

The value of the gift card declined by $37.40.

The total cost of all the items purchased has to be determined.

The sum of these items is $37.40

Change in value = value of the gift card - cost of items

$50 - $37.40 = $12.60

A similar question was answered here: https://brainly.com/question/19891026

Answer:

Total cost of pens = $1.57 x 1 = $1.57

Total cost of pencils = $1.98 x 2 = $3.96

Total cost of folders = $0.75 x 6 = $4.50

Total cost of highlighter: $3.45 x 1 = $3.45

Total cost of notebooks: $2.95 x 5 = $14.75

Total cost of binders: $3.55 x 2 = $7.10

Total cost of paper: $0.69 x 3 = $2.07

The sum of these items is $37.40

Change in value = value of the gift card - cost of items

$50 - $37.40 = $12.60

Step-by-step explanation:

Answer:

2.83

Step-by-step explanation:

Answer:

9x -2

Step-by-step explanation:

6x + 4 - 3x - 2

6x + 3x +4 - 2

9x -2

Answer:

Step-by-step explanation:

(6x + 4) - (3x - 2) simplify

(6x + 4) - (3x - 2)=

6x + 4 - 3x + 2

3x + 6

Answer:

  A, B, C are perfect squares. Their roots are 22, 66, 89.

  D is not a perfect square. The root is about 94.995

Step-by-step explanation:

Your calculator can help. The integer is a perfect square if its square root is an integer.

  A. √484 = 22 . . . . 484 is a perfect square

  B. √4356 = 66 . . . . 4356 is a perfect square

  C. √7921 = 89 . . . . 7921 is a perfect square

  D. √9024 ≈ 94.9947... . . . . not a perfect square

__

Additional comment

When you compute the square root using the "long division" method, the first step is to divide the radicand into groups of 2 digits. The most significant digit of the root will be the root of the largest square less than the leftmost group.

For example, the first step in finding the root of 4356 is to divide it into the groups 43'56'. The most significant digit of the root will be 6, because 36 = 6² is the largest square less than or equal to 43.

If the number is a perfect square, the least-significant digit of the radicand will be the least-significant digit of the square of the least-significant digit of the root. Here, the least digit of 43'56' is 6, which can only be the least-significant digit of 4² = 16 or 6² = 36. No other single digits have a square ending in 6.

So, if the number 4356 is a perfect square, it must be the square of 64 or 66. It is the square of 66. (If you're familiar with powers of 2, you know 64²=4096.)

Answer:

⁵/₈

Step-by-step explanation:

x = 0.5

5x³ = 5(¹/₂)³

5x³ = 5(¹/₈)

5x³ = ⁵/₈

Answer:

(5,-3)

Step-by-step explanation:

Answer:

45 sides

Step-by-step explanation:

exterior angle + interior angle = 180° , that is

exterior angle + 172° = 180° ( subtract 172° from both sides )

exterior angle = 8°

The sum of the exterior angles of a polygon = 360°

To find the number of sides n , divide 360° by 8°

n = 360° ÷ 8° = 45

Answer:

45 sides

Step-by-step explanation:

If each of the interior angles is 172 degrees, then each of the exterior angles is 8 degrees. Since the sum of the exterior angles of any polygon is 360 degrees, there are 360 / 8 = 45 exterior angles and 45 sides

Answer:

10 ft

Step-by-step explanation:

10² = 100

11² = 121

Answer: 10 ft

Answer:

40% but there is no article so I looked it up

Step-by-step explanation:

Answer:

...... ANSWER IS IN THE PICTURE

Answer:

that must mean that either the objects are giving off heat or the heat from one object is transferring to the air

Step-by-step explanation:

Answer:

The objects must be different temperatures.

Step-by-step explanation:

Answer:

0.2% as a decimal is 0.002, 3.71 as a percentage is 371%

Answer: C

Step-by-step explanation: 10 times 1/2

Answer:

C. 5 Pounds

Step-by-step explanation:

Total of 10 friends divide that by 2 you get five so you would do 5 times to would be 10 (sorry if i explained that weirdly)

Answer

80000

Step-by-step explanation:

200×400

=80000

Lets try one way to solve this system. First, we want to isolate one of the unkown, lets choose y, so we need to remove x from an equation. In order to remove x from an equation, thats what we are going to do :

Line 1:

(3x² - 5y²) * 2 = 22 * 2

6x² - 10y² = 44

We simply multiplied Line 1 by the number 2, this doesn't change anything on the nature of Line 1.

Line 2:

(2x² + 4y²)*3 = 22*3

6x² + 12y² = 66

We simply multiplied Line 2 by the number 3, this doesn't change anything on the nature of Line 2.

Solving your system of equations is exactly the same thing as solving this new system of equation :

6x² - 10y² = 44

6x² + 12y² = 66

It is exactly the same. But it is easier now, because we can remove x from the equation simply by subtracting line 2 from line 1 :

L1 - L2 :

(6x² - 10y²) - (6x² + 12y²) = 44 - 66

6x² - 10y² - 6x² - 12y² = - 22

- 22y² = - 22

y² = 1

y = + 1 or y = - 1

We know have the value of y, we just have to replace it in the equation to solve the entire system :)

3x² - 5y² = 22

since y² will always be equal to one, wether y = 1 or y = - 1, we can write :

3x² - 5 = 22

3x² = 22 + 5

3x² = 27

x² = 27/3

x² = 9

x = + 3 or x = - 3

So the solutions are the following couples in the form (x,y) :

S = { (3 ; 1) , (-3;1) , (3 ; - 1) , (-3 ; -1))

Good Luck

Answer: 2 11/12 kg

Step-by-step explanation:

add the fractions and the the two(2)

Answer:

You didn't ask a question.

Step-by-step explanation:

so we know m<3=70

m<2=90

m<2+m<1=m<4

try 50?

let me know if it is wrong

Answer:

42 dollars

Step-by-step explanation:

2h+h+5=68

3h+5=68

3h=63 divided by 3

21*2=$42