write a real-world problem that can be modeled by the inequality 10x > 5.5x + 31.5

Y6z2/x4

The 6, 2, and 4 are exponents

proportional relationship between the amount of raisins, r (cups), and the amount of peanuts, p (cups), in this recipe is [tex]r = \frac{2}{3} p[/tex]

What is proportional relationship?

We can state that two variables are in a proportional relationship if one of them is always equal to a constant multiplied by the other (quantity).

A mathematical comparison of two numbers is called a proportion. Let's examine proportionality in greater detail.

Different sorts of proportions can be categorized based on the type of relationship that two or more amounts share. Two different proportions exist.

1.Direct Proportion relationship

2. Indirect Proportion relationship

For every 6 cups of peanuts, a trail mix recipe calls for 4 cups of raisins.

The quantity of raisins, measured in cups, and the quantity of peanuts, measured in cups, are inversely proportionate in this recipe.

Ratio of raisins to peanuts is either 4:6 or 2:3.

It would apply to all mixtures equally.

If there are p cups of peanuts and r cups of raisins, then r:p is the mixed ratio.

Therefore,

[tex]\frac{r}{p} = \frac{2}{3}[/tex]

[tex]r= \frac{2}{3}p[/tex]

Therefore, the proportional relationship between the amount of  raisins, r (cups), and the amount of peanuts, p (cups), in this recipe. is

[tex]r = \frac{2}{3} p[/tex]

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Final answer:

In this question, the student is asking about the proportional relationship between the amount of raisins and peanuts in a trail mix recipe.

Explanation:

In this question, the subject is Mathematics and the grade level is Middle School.

The question is related to proportional relationships in a trail mix recipe. The recipe calls for 4 cups of raisins for every 6 cups of peanuts. This means that for every 6 cups of peanuts, you need to add 4 cups of raisins. The relationship between the amount of raisins and the amount of peanuts is proportional, with a ratio of 4:6 or simplified as 2:3.

To determine the amount of raisins needed for a given amount of peanuts, you can set up a proportion. For example, if you have 12 cups of peanuts, you can use the ratio 2:3 to find out how many cups of raisins you need. Cross-multiplying, you get 2x = 3x 12, where x represents the number of cups of raisins. Solving for x, you find that x = 8. Therefore, you would need 8 cups of raisins for 12 cups of peanuts.

Because G is a 90 degree angle ( right angle) the 2 angles given when added together also need to equal 90 degrees:

4x + 5x = 90

Combine like terms:

9x = 90

Divide both sides by 9:

X = 90/9

X = 10

2x and 8X are supplementary angles and need to equal 180 degrees when added together:

2x + 8x = 180

Combine like terms:

10x = 180

Divide both sides by 10:

X = 180 /10

X = 18

The inside angle where they have 32 is a vertical angle to 32 so it is also 32.

The four inside angles need to equal 360 degrees.

Subtract the 3 known angles from 360 to find x:

X = 360 - 158 - 148 - 32 = 22 degree.

3.4/55.318= 0.06146281499

There isn't much of a way to explain this just divide it as it is stated.

The answer:

25 feet per 1 second

*(Answer)*= [tex]4/3[/tex]

*(Explanation)*= You multiply 3 (denominator) to 1 (whole number) then you add 1 (numerator)

The sale price of the item is $35.10.

To find the sale price of an item with a markdown, you can follow these steps:

1. Convert the markdown percentage to a decimal. In this case, the markdown is 22%, so convert it to 0.22.

2. Subtract the decimal equivalent of the markdown from 1. This will give you the "discount factor." In this case, 1 - 0.22 = 0.78.

3. Multiply the original price by the discount factor to find the sale price.

Let's calculate it:

1. Markdown as a decimal: 22% = 0.22.

2. Discount factor: 1 - 0.22 = 0.78.

3. Sale price = Original price * Discount factor

  Sale price = $45.00 * 0.78

  Sale price = $35.10.

So, the sale price of the item is $35.10.

Explanation: The markdown percentage of 22% represents the reduction in price from the original price. By subtracting this percentage from 100% (or 1 in decimal form), we find the discount factor, which tells us how much of the original price remains. Multiplying the original price by the discount factor gives us the sale price. In this case, the sale price is $35.10, reflecting a 22% reduction from the original price of $45.00.

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The probable question may be:

Find the sale price of the following item. Round to two decimal places when necessary: Original price: $45.00; Markdown : 22%.

The interest rate per annum if a fund paying its clients is the third to the last payment of a depositor became Php 1,040.40 from an initial savings payment of Php 1,000.00 is 1.32%

To get the interest rate, we will use the formula for calculating the compound interest as shown:

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

P is the amount of investment

n is the time of compounding

t is the time

A is the amount after t years

Given the following parameters

P = 1,000.00

A = Php 1,040.40

n = 1

Substitute the parameters into the formula

[tex]1040.4=1000(1+\frac{r}{1} )^{3}\\\frac{1040.4}{1000}=(1+r)^3\\1.0404 = (1+r)^3\\ln(1.0404) = 3ln(1+r)\\ 0.0396=3ln(1+r)\\ln(1+r)=0.0132\\1+r = e^{0.0132}\\1+r =1.0132\\r=1.0132-1\\r=0.0132\\r=1.32\%[/tex]

Hence the interest rate per annum if a fund paying its clients is the third to the last payment of a depositor became Php 1,040.40 from an initial savings payment of Php 1,000.00 is 1.32%.

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Final answer:

The fund is paying its clients an interest rate of 4.04% per annum.

Explanation:

To determine the interest rate per annum, we can use the formula:

Interest = Final Amount - Initial Amount

In this case, the Final Amount is Php 1,040.40 and the Initial Amount is Php 1,000.00. So, the interest is Php 40.40.

Next, we can use the formula:

Interest Rate = (Interest / Initial Amount) × 100

Substituting the values:

Interest Rate = (40.40 / 1000) × 100 = 4.04%

Therefore, the fund is paying its clients an interest rate of 4.04% per annum.

Plasma is a form of matter in which many of the electrons wander around freely among the nuclei of the atoms. Plasma has been called the fourth state of matter, the other three being solid, liquid and gas.

Normally, the electrons in a solid, liquid, or gaseous sample of matter stay with the same atomic nucleus. Some electrons can move from atom to atom if an electrical current flows in a solid or liquid, but the motion occurs as short jumps by individual electrons between adjacent nuclei. In a plasma, a significant number of electrons have such high energy levels that no nucleus can hold them.

An atom that has lost some of its electrons, thereby attaining an electric charge, is an ion. When a gas is subjected to heat or an electric field, some of its atoms become ions, and the gas is said to be ionized. An ionized gas, unlike a gas in its normal condition, can conduct electrical current to a limited extent. If the heat or electric field becomes extreme, many of the atoms become ions. The resulting super-ionized gas is a plasma, which can conduct a large and sustained electric current.

The behavior and properties of plasmas have aroused interest and creative work among scientists and engineers. Applications include electric lamps, lasers, medical devices, energy converters, water purifiers and flat-panel video displays. About 99% of the visible universe is formed of plasma.

Suppose the length of each side of the cube is x, so the volume must be:  

x^3.  

If the volume is 15 cm^3, so the length must be cuberoot(15) which is not integer,. So, the volume of the cube with integer side never equal with 15 cm^3

Final answer:

The volume of a cube with integer edge lengths must be a perfect cube of an integer, and since 15,000,000 (15m^3) is not a perfect cube, the cube's volume cannot be 15m^3.

Explanation:

The volume of a cube is calculated by cubing the edge length, which means multiplying the length of an edge by itself three times (x3). If the length of each edge of a cube is x centimeters and x is an integer, the volume in cubic centimeters will also be an integer because the cube of any integer is an integer. Since the question specifies a volume of 15m3, which is 15,000,000 cm3 (because 1m3 equals 1,000,000 cm3), and 15,000,000 is not a perfect cube of any integer, the edge length x cannot be an integer, thus the volume of the cube cannot be 15m3.

12.66 or 12 2/3 hrs because 25-6 = 19, $19.00 divided by $1.50 = 12.66 cont. rounded to 12 2/3

Final answer:

After deducting the $6.00 admission fee from the $25.00, Jon has $19.00 left to spend on roller blade rentals. At $1.50 per hour, he can skate for 12 full hours with his remaining budget.

Explanation:

To calculate how many hours Jon can skate for $25, we'll first account for the fixed admission fee and then see how the remaining amount can be used for hourly rental of roller blades.

Step 1: Subtract the Admission Fee

Jon has to pay a fixed admission fee of $6.00 when he enters the skating rink.

Start with the total amount Jon is willing to spend: $25.00.

Subtract the fixed admission fee: $25.00 - $6.00 = $19.00.

Step 2: Calculate the Number of Hours

The cost per hour for renting roller blades is $1.50.

Divide the remaining amount by the hourly rental rate to find out how many hours Jon can rent the roller blades.

$19.00 / $1.50 per hour = 12.6667 hours.

Since Jon cannot skate for a fraction of an hour, we can round it down to 12 hours.

Jon can skate for 12 hours with his $25 budget after paying for the admission fee.

*(Answer)*= [tex]494.4[/tex]

Answer:

9 birds landed on the fence. 18 - 9 = 9

Why hello there!

The correct answer is 9 your equation is down below

9+x=18 we use the oppisie of adding so subracting and turn the eqation to this

9-18=x so x=9

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the is 10 because the √100 is 10. hope this helps mark me as brainliest

Step-by-step explanation:

(x, y) → (x + 2, y - 4 ) means add 2 to the x- coordinate of the original point and subtract 4 from the y- coordinate of the original to obtain the image

(a_{0} + 2, a_{1} - 4 )

(a_{2} + 2, a_{3} - 4 )

(a_{4} + 2, a_{5} - 4 )

The translated coordinates are (a₀ + 2, a₁ - 4 ) (a₂ + 2, a₃ - 4 ) (a₄ + 2, a₅ - 4 ).

The complete image of the question is attached with the answer below.

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.(x, y) → (x + 2, y - 4 ) means add 2 to the x- coordinate of the original point and subtract 4 from the y- coordinate of the original to obtain the image

A' =  (a₀ + 2, a₁ - 4 )

B'  = (a₂ + 2, a₃ - 4 )

C'  = (a₄ + 2, a₅ - 4 )

Therefore the translated coordinates are (a₀ + 2, a₁ - 4 ) (a₂ + 2, a₃ - 4 ) (a₄ + 2, a₅ - 4 )

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Best Answer:  m∠ABF = (8x + 6) degrees and m∠ABE = 2(x + 11) degrees  

m∠EBF = (6x - 16)

To find the measure of angle ABF, set up an equation using the given angles ABE and EBF. Simplify and solve the equation to find the value of x. Substitute the value of x back into the equation to find the measure of angle ABF.

To find the measure of angle ABF, we need to set up an equation using the given angles ABE and EBF. We can set up the equation as follows:

ABE + EBF = ABF

Substituting the given values:

(11x - 31) + (2x - 9) = 6x + 26

Simplifying the equation:

13x - 40 = 6x + 26

Moving the variables to one side:

13x - 6x = 26 + 40

Combining like terms:

7x = 66

Dividing both sides by 7:

x = 9.4286

Substituting the value of x back into the equation:

ABF = 6(9.4286) + 26

ABF = 56.5714 + 26

ABF = 82.5714

Therefore, the measure of angle ABF is 82.5714 degrees.

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4/52 * 3/51 = 12/ 2652  = 1/221

The probability of drawing two aces consecutively from a standard deck is 1/221. This is determined by calculating the individual probabilities of drawing an Ace on each draw, and then multiplying these probabilities together.

The question at hand is about the probability of drawing two aces consecutively from a standard deck of 52 cards. Probability is a branch of mathematics that deals with calculating the likelihood of a given event's occurrence, which is expressed as a number between 1 and 0.

Here, the total number of aces in the deck is 4. So, the probability of drawing an Ace on the first draw is 4/52 or 1/13. After drawing one ace, there are only 3 aces left and 51 cards in total. So, the probability of drawing an Ace on the second draw is 3/51.

Since these are independent events, the probability of both events occurring is the product of their individual probabilities. Therefore, the answer is (1/13) * (3/51) = 3/663 = 1/221.

So, option b. 1/221 is the correct answer.

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(4k+2)(k-2)/(k^2-4)(2k+1)

=2(2k+1)(k-2)/ (k^2-2^2)(2k+1)

Cancel out 2k+1

2(k-2)/(k-2)(k+2) using a^2-b^2=(a-b)(a+b)

cancel out k-2

2/k+2

Therefore numerator is 2

2k=26

To find this get k by itself and to do so get rid of the numbers on it's side.

To do so do the opposite of the symbol

Ex: when adding, subtract it from both sides.

Ex when dividing multiply both sides

Now to solve this

Divide 2 from both sides which gives the answer

K=13

Respuesta: 12 estudiantes trajeron pilas

Solución:

Numero total de estudiantes: 30

Sea:

x: numero de estudiantes que trajeron pilas

y: numero de estudiantes que no trajeron pilas

x+y=30 (1)

La razón entre los estudiantes que trajeron pilas y los que no trajeron es como 2 es a 3:

Razón: r=x/y=2/3 (2)

Cuantos estudiantes trajeron pilas?

x=?

Tenemos un sistema de 2 ecuaciones con 2 incógnitas:

(1) x+y=30

(2) x/y=2/3

Vamos a resolver para x. Multiplicando en cruz en la segunda ecuación:

(2) 3x=2y

Depejando y: Dividiendo ambos lados de la ecuación entre 2:

3x/2=2y/2

3x/2=y

y=3x/2

Sustituyendo y por 3x/2 en la primera ecuación:

(1) x+y=30

x+3x/2=30

Sumando los términos en el lado izquierdo de la ecuación:

(2x+3x)/2=30

5x/2=30

Despejando x:

x=30*2/5

x=60/5

x=12

Answer: Respuesta: 12 estudiantes trajeron pilas

Solución:

Numero total de estudiantes: 30

Sea:

x: numero de estudiantes que trajeron pilas

y: numero de estudiantes que no trajeron pilas

x+y=30 (1)

La razón entre los estudiantes que trajeron pilas y los que no trajeron es como 2 es a 3:

Razón: r=x/y=2/3 (2)

Cuantos estudiantes trajeron pilas?

x=?

Tenemos un sistema de 2 ecuaciones con 2 incógnitas:

(1) x+y=30

(2) x/y=2/3

Vamos a resolver para x. Multiplicando en cruz en la segunda ecuación:

(2) 3x=2y

Depejando y: Dividiendo ambos lados de la ecuación entre 2:

3x/2=2y/2

3x/2=y

y=3x/2

Sustituyendo y por 3x/2 en la primera ecuación:

(1) x+y=30

x+3x/2=30

Sumando los términos en el lado izquierdo de la ecuación:

(2x+3x)/2=30

5x/2=30

Despejando x:

x=30*2/5

x=60/5

x=12

Using the bacteria parable, at 11:39 PM the jar is 1/2048 full, calculated by determining the number of doubling intervals (minutes) from midnight when the jar is full.

The bacteria parable is designed to illustrate exponential growth, with bacteria population doubling at predetermined intervals. In the given scenario, the population doubles every minute, and the jar is full at midnight.

Working backwards from the full point (midnight), we can determine the state of the jar at any time before midnight.

Consequently, to find what fraction of the bottle is full at 11:39 PM, we simply count backward the number of doubling intervals (minutes) from midnight.

At 11:50 PM, the jar is half full. Each minute going back cuts the fullness of the jar by half:

Therefore, at 11:39 PM, the jar is 1/2048 full.

After one year, by depositing $100 in a savings account with a 2.4% interest rate compounded monthly, you will have $102.43.

You are given $100 for your birthday and decide to put it in a savings account that offers a 2.4% interest rate, compounded monthly. To calculate how much money you will have after one year, we'll use the formula for compound interest, which is [tex]A = P(1 + r/n)^{(nt)[/tex], where:

Plugging these values into the formula, we get:

[tex]A = 100(1 + 0.024/12)^{(12*1)A = 100(1 + 0.002)^{12A = 100(1.002)^{12A = 100(1.0243)A = $102.43[/tex]

Therefore, after one year, you will have $102.43 in your savings account.