A gallon of milk cost $2.79 in 2000. In 2015, it cost $ 3.98.

Does this show an increase or decrease?

What is the percent change in price?

The system of equations has an infinite number of solutions.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 8 is an equation.

We have,

3x + 2y = 6 ____(1)

6x + 4y = 12 _____(2)

Applying the substitution method.

3x + 2y = 6

x = (6 - 2y)/3 in (2)

6 (6 - 2y)/3 + 4y = 12

2 (6 - 2y) + 4y = 12

12 - 4y + 4y = 12

12 = 12

This means,

It has an infinite number of solutions.

Thus,

An infinite number of solutions.

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The complete question is:

Graph the system of equations

3x + 2y = 6

6x + 4y = 12

and find the solution to the system.

Answer:

  0.5 gallons

Step-by-step explanation:

Let x represent the amount of orange juice (in gallons) Gayle must add to the mix. Then the total amount of orange in the mix is ...

  0.25(2) +x = 0.40(2+x)

  0.50 +x = 0.80 +0.40x . . . . eliminate parentheses

  0.60x = 0.30 . . . . . . . . . . . .  subtract 0.50+0.40x

  x = 0.5 . . . . . . . . . . . . . . . . . divide by 0.60

Gayle should add 0.5 gallons of orange juice to make a 40% solution.

The art teacher can make a maximum of 24 identical kits using all the crayons and drawing paper for proper distribution.

To determine the largest number of identical kits the art teacher can make using all the crayons and drawing paper, we need to find the greatest common divisor (GCD) of the quantities.

The GCD represents the largest number that can divide all the quantities without leaving a remainder.

The GCD of the quantities of crayons can be found by considering the prime factorization:

72 = 2³ × 3²

48 = 2⁴ × 3

48 = 2⁴ × 3

48 = 2⁴ × 3

The GCD of the crayons is 2³ × 3 , which is 24.

Now, we need to find the GCD of the quantity of drawing paper:

120 = 2³ × 3 × 5

The GCD of the drawing paper is also 2³ × 3 , which is 24.

Since the GCD of both the crayons and drawing paper is 24, the art teacher can make a maximum of 24 identical kits using all the crayons and drawing paper.

Each kit would contain an equal distribution of crayons and drawing paper.

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Answer:

  (b)  -4.5

Step-by-step explanation:

Choosing the correct answer here is not the same as knowing what the correct value is.

You know that √30 < √100 = 10, so the sum must be negative. That is, 10 subtracted from a positive number less than 10 will give a negative result.

You know that 25 < 30 < 36, so √25 < √30 <√36. That is, √30 will be between 5 and 6. If we say √30 ≈ 5.5, then the sum is ...

  -10 +√30 ≈ -10 +5.5 = -4.5

__

Additional comment

Of course, a calculator can tell you the value to the desired precision.

(a) 45 tens is equal to 450. :- True

(b) 12.3 is equal to 123 ones. :- True

(c) 80 tens is greater than 6 hundreds. :- True

(d) 43,200 is less than 50 thousands. :- True

(e) 60 hundreds = 6,000 :- True

Consider the first statement,

45 tens are equal to 450

So, 45 tens mean 45 times 10 is written as:

45 × 10 = 450

Hence, it's true.

Consider the second statement,

12.3 is equal to 123 ones.

Now, 123 ones is equal to 123 times 1.

123 × 1 = 123

Hence, the statement is true.

Consider the third statement,

80 tens is greater than 6 hundreds.

Now 80 tens = 80 × 10 = 800

Now, 6 hundreds = 6 × 100 = 600

Now, 800 > 600

Hence, the statement is true.

Consider the fourth statement.

43,200 is less than 50 thousands.

Now, 50 thousands = 50 × 1000 = 50,000

We know,

50,000 > 43,200

Therefore, the statement is true.

Consider the fifth statement,

60 hundreds = 6000

Now, 60 hundreds = 60 × 100 = 6000

Therefore, the statement is true.

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Answer:

d

Step-by-step explanation:

when using a calc. it comes out to 290.18, convert that to a remainder to get d; 290r3

please mark brainliest, need it for a new rank t y s m in advance

Answer:

Thanks man..............

Answer:

thx

Step-by-step explanation:

Answer:

66528 km

Step-by-step explanation:

1 sec = 3*105

60 sec = 1 min = 3*60*105 km

3.25 min-?

3 .25×60×105

The distance of Mercury from sun will be 585,000,000 km.

It is given that it takes 3.25 minutes to light to reach from sun to mercury.

If speed of light is 3 ×  \(10^{5}\) km/sec , then calculate the distance from sun to mercury.

What will be the value of (2 × \(x^{2}\) ) ÷ 2 ?

The value will be  \(x^{2}\) .

Distance travelled by light in 1 seconds = 3 ×  \(10^{5}\) km

∵ 1 minute = 60 seconds

⇒  Distance travelled by light in 1 minute will be ;

   = 60 × 3 ×  \(10^{5}\) km

⇒ Distance travelled by light in 3.25 minutes will be ;

   = 3.25 × 60 × 3 ×  \(10^{5}\) km

   = 585,000,000 km

Thus , distance of Mercury from sun will be 585,000,000 km.

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The quotient of 2.538 ×10^9 and 2.7×10^2 expressed in scientific notation is : 0.94 × 10^6.

Given:

2.538 × 10^ 9 and 2.7 × 10^ 2

We have to first of all formulate before determining the scientific notation

(2.538 × 10^ 9) ÷ (2.7 × 10^2)

Rewrite as fraction

2.538 × 10^9 ÷ 2.7 × 10^2

simplify

2.538 ÷ 2.7 × 10^ 9-2

=  2.538 ÷ 2.7 × 10^7

Convert the fraction to decimal

0.94 × 10^7

Now let express it in scientific notation

Scientific notation = 94 × 10^6

Therefore the scientific notation is 94 × 10^6.

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The correct question is:

What is the quotient of 2.538 ×10^9 and 2.7×10^2 expressed in scientific notation

The recursive formula for p(n) is; p(n) = p(n-2) + p(n-3) for n >= 3. Case 1: The last square is painted white. If the last square is painted white, then the second to last square must be painted gold.

There are p(n-2) ways to paint the remaining n-2 squares of the checkerboard subject to the restriction.

Case 2: The last square is painted gold. If the last square is painted gold, then the second to last square can be painted either white or gold. If the second to last square is painted white, then there are p(n-3) ways to paint the remaining n-3 squares of the checkerboard subject to the restriction.

If the second to last square is painted gold, then there are p(n-2) ways to paint the remaining n-2 squares of the checkerboard subject to the restriction.

Therefore, the recursive formula for p(n) is: p(n) = p(n-2) + p(n-3) for n >= 3

with initial conditions p(1) = 2 and p(2) = 3.

The base case for the recursion is p(1) = 2 and p(2) = 3, which are the number of ways to paint a 1 x 1 checkerboard and a 1 x 2 checkerboard subject to the restriction, respectively.

The recursive formula counts the number of ways to paint a 1 x n checkerboard subject to the restriction by considering the last column of the checkerboard.

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In 15 years the investment will be worth $586.99.

Compound interest is the addition of interest to the principal sum of a loan or deposit or interest on interest plus interest.

It is the result of reinvesting interest, or adding it to the loaned capital, rather than paying it out or requiring payment from the borrower, so that interest is earned on the principal sum plus previously accumulated interest in the following period.

In finance and economics, compound interest is the norm.

To find how much will the investment be worth in 20 years:

Given -

Initial investment = $300.

Interest rate = 4.5%.

Interest applied = quarterly.

So, the table of 15 years will be as follows:

using the formula we get,

Therefore, in 15 years the investment will be worth $586.99

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Answer:

Below

Step-by-step explanation:

L = (1/2W + 4)   <====given

Area = L x W

         = (1/2W +4)(W)

         = 1/2 W^2 + 4W

Answer:

38 miles.

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Answer:

Step-by-step explanation:

the arrows from the picture tells us that TV is parallel to RS

since TS is a transversal that cuts the 2 parallel lines TV and RS than ∠S =x

(alternate interior angles)

sum of angles in a Δ is 180° so x+x+2x = 180°, 4x =180°, x= 45°

2x = 45*2 = 90°

Relative interest refers to the comparison of interest rates between different financial instruments or investment opportunities. It allows individuals or investors to assess and evaluate the attractiveness of various options based on their potential returns.

1. Understand the basic concept: Interest is the cost of borrowing money or the return earned on invested funds. Relative interest involves comparing the interest rates of different financial instruments or investments to determine which one offers a more favorable return.

2. Identify the investment options: Start by identifying the different investment opportunities or financial instruments available. These can include savings accounts, certificates of deposit (CDs), bonds, stocks, or other investment vehicles.

3. Research interest rates: Research and gather information about the current interest rates offered by each investment option. This information can usually be found on financial websites, through financial institutions, or by consulting with a financial advisor.

4. Compare interest rates: Once you have the interest rates for each investment option, compare them side by side. Look for the differences in rates and identify which options offer higher or lower returns.

5. Assess risk and return: Consider the level of risk associated with each investment option. Higher returns often come with higher risk, so it's essential to evaluate the risk-reward tradeoff.

6. Make an informed decision: Based on the comparison of interest rates and the risk-reward assessment, make an informed decision on which investment option aligns with your financial goals and risk tolerance.

Always remember to consider your financial goals, risk tolerance, and consult with a financial advisor if needed.

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For the function, the x-intercept of g(x) is at (5,0).

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input.

Given f(x) = ln(x)

and g(x) = -f(x - 4)

the function is

g(x) = -ln(x - 4)

when x = 5

g(x) = -ln(5 - 4)

g(x) = -ln1

g(x) = 0

the coordinates are (5, 0)

Hence the x-intercept is (5, 0).

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Answer:

Your scale factor would be 2

Step-by-step explanation:

I really hope this helps! :)

Step-by-step explanation:

7pounds : 35pounds

First divide to their simpliest form

35/7 = 1/5

So we say 7 : 35 = 1pounds : 5pounds

Answer:

mean: 14

median: 15

mode: 6, 15, 18

Step-by-step explanation:

For the mean, you add up all the numbers and divide by the number of numbers there are. There are 7 numbers here, so add and divide by 7.

For the median, you line the numbers up from least to greatest.

6, 6, 15, 15, 18, 18, 20

and find the middle number, which is 15.

For the mode, you have to find the number that repeats the most. For this set of numbers, it's 15, 18, and 6. Hope that helps!

Answer:

Mean  = 14

Median = 15

Mode = 6, 18, 15

Step-by-step explanation:

I really hope this helps you. I worked these out however I looked up and did research. I checked out the website too. Check out (calculator soup)

It gives you the answers and explains all the steps.

Answer: Mode = 33, Mean = 35.5

Step-by-step explanation: The mode is whatever number appears the most.

To find the mode, first put the numbers in order from least to greatest.

29, 31, 33, 33, 37, 38, 40, 43

In this case, 33 appears the most, so the mode is 33.

The mean is the average of all of the numbers.

Firstly, add up all of the numbers:

29 + 31 + 33 + 33 + 37 + 38 + 40 + 43 = 284

Now that you have all of them added up, divide the final sum by the number of numbers you have in the list. In this case, you have 8 numbers.

284/8 = 35.5

Your mean is 35.5

Answer:

Mode = 33

Mean = 35.5

The mode is whatever number appears the most.

to find the mean:

add all the numbers:

29 + 31 + 33 + 33 + 37 + 38 + 40 + 43 = 284

divide that by the number of numbers you have in the list.

284/8 = 35.5

mean = 35.5

The amount of work done is Option A) 12 N/m

Work done is simply defined as the product of the magnitude of displacement, (d) and the component of the force that in the direction of displacement.

It measures energy transfer that occurs when an object is moved to a distance by an external force which is applied in the direction of the displacement.

Work done on a body is equivalent  to the increase in the energy of the body, because it transfers energy to the body.

The formula for work done is;

W = fd

Where, 'f' is the applied force and d is the distance

Substitute the values

Work done = 6(2)

Work done = 12 N/m

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2. The integration region,

\(\left\{(r,\theta)\mid\dfrac\pi6\le\theta\le\dfrac\pi2\land2\le r\le3\right\}\)

corresponds to what you might call an "annular sector" (i.e. the analog of circular sector for the annulus or ring). In other words, it's the region between the two circles of radii \(r=2\) and \(r=3\), taken between the rays \(\theta=\frac\pi6\) and \(\theta=\frac\pi2\). (The previous question of yours that I just posted an answer to has a similar region with slightly different parameters.)

You can separate the variables to compute the integral:

\(\displaystyle\int_{\pi/6}^{\pi/2}\int_2^3r^2\sin^2\theta\,\mathrm dr\,\mathrm d\theta=\left(\int_{\pi/6}^{\pi/2}\sin^2\theta\,\mathrm d\theta\right)\left(\int_2^3r^2\,\mathrm dr\right)\)

which should be doable for you. You would find it has a value of 19/72*(3√3 + 4π).

3. Without knowing the definition of the region D, the best we can do is convert what we can to polar coordinates. Namely,

\(r^2=x^2+y^2\)

so that

\(\displaystyle\iint_De^{x^2+y^2}\,\mathrm dA=\iint_Dre^{r^2}\,\mathrm dr\,\mathrm d\theta\)

okay. so, when you wash your hair, there is no way to get 100% of the shampoo/conditioner out of your hair, so the excess it rubbed onto the towel. Say you have no hair. The shower isn't germ-free, so even if you feel clean, the towel and yourself is still a harbor of germs, good and bad.

The solution is, After decreasing £16870 by 3% we get, £16363.90.

Here, we have,

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%".

First, find the percentage of £16870 by 3%

%value = 3% * 16870

           = (3 / 100) * 16870

           = 506.1

Now, just minus with actual value

New value = actual value - %value

We know, actual value = £16870 and %value = 506.1

so, New value = 16870 - 506.1

we get, New value = £16363.90

Therefore, After decreasing £16870 by 3% we get, £16363.90

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complete question:

Decrease £16870 by 3%

Give your answer rounded to 2 DP.

Answer:-95°

Step-by-step explanation: a p e x

The negative angle that is equivalent to 265° would be equal to negative 85 degrees.

The angle sum property of a triangle states that the sum of the interior angles of a triangle is 180 degrees.

The negative angle is equivalent to 265°.

We know that the sum of angles is always 180

So,

we will subtract the angle 180 from the angle of 265 degrees.

265 - 180

= 85°

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We can calculate the volume of this figure by adding the volume of the hemisphere and the cylinder.

The hemisphere will have a volume that is half of the volume of a sphere with radius 10 in.

The cylinder will have a volume that is the area of the base, a circle of radius 10 in., times the height h = 16 in.

We then can express the volume of the figure as:

Answer: the volume is approximately 7120.9 cubic inches.

Answer:

1 7/8 cups

Step-by-step explanation:

This is a addition problem. You need to add three fractions, so you need a common denominator.

The LCD is 2, 4, and 8 is 8.

3/4 + 5/8 + 1/2 =

= 6/8 + 5/8 + 4/8

= 15/8

= 1 7/8

Answer: 1 7/8 cups

Answer:

1299+13522+6424=21245

round off to the nearest thousand

21,245

the nearest thousand is 1,000

the number beside it is 200

according to the rule to round off it has to be above 5 it is not

so drop off the 2 and add zero to the end

now your answer is 21,000

Step-by-step explanation:

hope this helps good luck!

Answer:

Step-by-step explanation:

1299 + 13522 + 6424 = 1000 + 14000 + 6000

                                   = 21000

1299 ---> hundred place is 2 < 5. So, 1000

13522 ----> Hundreds place is 5 ≥5. so, add one to the thousands place.

                 Which is 14000

Answer:

[1;1;1]

Step-by-step explanation:

try this option; all the details are in the attachment.