for each table, find the constant of proportionality. use decimal notation if neccescry

Answer: \(3/10\)

Step-by-step explanation:

\((\frac{3}{5}): (\frac{4}{2}) = \frac{3}{10} = 0.3\)

Divide: 3/5 : 4/2 = 3/5 · 2/4 = 3 · 2/5 · 4 = 6/20 = 2 · 3/2 · 10 = 3/10

Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of \(\frac{4}{2}\) is \(\frac{2}{4}\)) of the second fraction.

Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, cancel by a common factor of 2 gives 3/10.

In other words - three-fifths divided by four halves = three tenths.

\(3/10=0.3\)

\(3/40=0.07500\)

\(Divide\) \(3/40 ~ by ~ 2\) \(=0.3\)

Answer:

\(\sf Steps\)

↝ Multiply

↝ Simplify if needed

________________

\(\sf Part\) I

\(\frac{3 * 2}{5 * 4} = \frac{6}{20}\)

________________

\(\sf Part\) II

\(\frac{6}{20} / \frac{2}{2} = \frac{3}{10}\)

________________

\(\sf Part\) III

⋆ As we know, 6-twentieths cannot be simplified any further because 3 cannot be simplified by another odd number. With this, we come to a conclusion.

\(\boxed {\frac{\sf 3}{\sf 10}}\)

Answer:

3%

Step-by-step explanation:

1. Set up the equation

6(0.18) + 12x = 18(0.08)

2. Simplify

1.08 + 12x = 1.44

3. Solve

12x = 0.36

x = 0.03

0.03 = 3%

Answer:

18. 3,0 19. 0,5

Step-by-step explanation:

Answer: Let's assume that the cost to make one item of clothing is directly proportional to the number of hours it takes to make it. We can use the equation:

Cost = k * Hours

where "Cost" is the cost to make one item of clothing, "Hours" is the number of hours it takes to make one item of clothing, and "k" is the proportionality constant that relates the cost to the number of hours.

In other words, if it takes x hours to make one item of clothing, then the cost to make one item is:

Cost = k * x

The value of k will depend on factors such as the cost of materials, the wages of the workers, and other expenses involved in the production process. The value of k can be determined based on the actual cost and number of hours for a particular item of clothing.

Step-by-step explanation:

Answer:

0.004462m²

612000m²

0.0482m²

Step-by-step explanation:

Using the conversion

1mm² = 10^-6m²

4462mm² = x

Cross multiply

1 * x = 4462 * 10^-6

x = 4462 * 10^-6

x = 4.462 * 10^3 * 10^-6

x = 4.462*10^{3-6}

x = 4.462*10^-3

x = 0.004462m²

Hence 4462 mm² in m² is 0.004462m²

0.612 km² in m²

1km² = 10^6m²

0.612km² = y

Cross multiply

1 * y = 0.612 * 10^6

y = 0.612*1,000,000

y = 612000m²

Hence 0.612 km² in m² is 612000m²

482 cm² in m²

1cm² = 0.0001m²

482 cm²  = z

z = 482 * 0.0001

z = 0.0482m²

Hence 482 cm² in m² is 0.0482m²

24 cupcakes in 1 hour and 18 cupcakes in 3/4 hour (or 45 minutes) both have same rate of change.

The rate of change refers to the speed at which a variable or quantity changes over a given period of time. It is often expressed in terms of units per time, such as meters per second or dollars per year. The rate of change can be positive or negative, depending on whether the variable is increasing or decreasing.

A constant rate refers to a fixed or unchanging rate of change over time. In other words, it is a steady and consistent rate that does not fluctuate or vary. This term is commonly used in mathematics and finance to describe situations where a value or quantity changes at a constant rate over a given period of time.

Athena made 3 dozen cupcakes in 1 1/2 hours. To find the constant rate of change, we need to determine the number of cupcakes she made per hour.

1 dozen = 12 cupcakes

So, Athena made 3 dozen cupcakes = 3 x 12 = 36 cupcakes.

Constant rate of change = Cupcakes made / Time taken

Option 1: 24 cupcakes in 1 hour

Option 2: 18 cupcakes in 3/4 hour (or 45 minutes)

Both options represent the same constant rate of change as Athena's, which is 36 cupcakes per hour.

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Answer:

6.875° C

the mean of a set of data is calculated using

mean =

For the first 7 days the mean is 8 and the count = 7

8 =  ( cross- multiply )

sum = 8 × 7 = 56

Add on the temperature on the 8 th day to the sum and divide by 8 for mean

sum = 56 - 1 = 55

mean =  = 6.875° C

2nd question

Height of marble from the ground

An independent variable is the variable in an experiment that you change to see if it has an effect on the dependent variable. In this case, Jack wanted to see whether the position of the marble on the ramp (which would be the height) has an effect on the kinetic and potential energy of the marble, then the height would be the independent because it is what is being changed.

The dependent would be the kinetic and potential energy and the constant would be the type of marble.

Answer:

no possible triangles

Step-by-step explanation:

just turn it in blank on delta

41.9 mi

Step-by-step explanation:

First, we convert the angle from degree measure to radian measure:

\(\theta = 240°×\left(\dfrac{\pi}{180°}\right)= \dfrac{4\pi}{3}\:\text{rad}\)

Using the definition of an arc length \(s\)

\(s = r\theta\)

\(\:\:\:\:=(10\:\text{mi})\left(\dfrac{4\pi}{3}\:\text{rad}\right)\)

\(\:\:\:\:= 41.9\:\text{mi}\)

Answer:

g(x) = | x - 2 | + 10

Step-by-step explanation:

given g(x) then g(x± h ) is a horizontal translation of g(x)

• if h > 0 then a move to the left of h units

• if h < 0 then a move to the right of h units

here the move is 2 units to the right, then

g(x) = | x - 2 |

given g(x) then g(x) + c is a vertical translation of g(x)

• if c > 0 then a move up

• if c < 0 then a move down

here the move is 10 units up , then

g(x) = | x - 2 | + 10

Answer:

41.6 km/h

Step-by-step explanation:

Nao drives 95mi/2.5hr or 38 miles per hour, or 60.8 km/h

1 hr 15 min is the same as 1.25 hours

Arban drives 128km/1.25hr or 102.4 km/h

The difference is 102.4-60.8 = 41.6

Answer:

  x ≤ 40 . . . miles per hour

Step-by-step explanation:

You want to know the values of x for which d(x) = 0.05x² +x is at most 120.

  d(x) ≤ 120 . . . . . . . . the required limit

  0.05x² +x ≤ 120 . . . . . substitute the expression for d(x)

  x² +20x -2400 ≤ 0 . . . . . multiply by 20, subtract 2400

  (x -40)(x +60) ≤ 0 . . . . . . . . factor. Factors are zero for x=40, x=-60.

The product will be negative for x-values between the zeros:

  -60 ≤ x ≤ 40

We only care about positive values of x:

  0 ≤ x ≤ 40 . . . . .  miles per hour

So, the spread of the numbers 4, 6, 7, 9, 9 is 5.

Spread can refer to different things depending on the context. Here are a few examples:

In finance, spread refers to the difference between the bid price and the ask price of a security or asset. The bid price is the highest price a buyer is willing to pay for a security, while the ask price is the lowest price a seller is willing to accept. The spread represents the cost of trading that security or asset and is typically measured in basis points (hundredths of a percentage point).

In sports betting, spread refers to the point spread or handicap that is assigned to a team in order to make the betting odds more even. For example, if a football team is favored to win by 7 points, they may be assigned a -7-point spread, meaning they would have to win by more than 7 points for a bet on them to be successful.

In epidemiology, spread refers to the transmission of a disease from one person to another. The spread of a disease can be influenced by a variety of factors, including the infectiousness of the disease, the proximity and frequency of contact between people, and the effectiveness of measures to prevent transmission (such as vaccines or masks).

In cooking, spread can refer to a variety of ingredients that are used to spread on bread or crackers, such as butter, jam, or peanut butter.

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Answer:

I don't think you provided the whole question...

Step-by-step explanation:

The current weight of the truck is given as follows:

3496 kg.

The current weight of the truck is obtained applying the proportions in the context of the problem.

The initial weight of the truck is given as follows:

3796 kg.

The weight removed from the truck is given as follows:

6 x 50 = 300 kg.

Hence the current weight of the truck is given as follows:

3796 - 300 = 3496 kg.

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hola**co'mo esta'sdssfsrfetryrtpoqqll

Answer:

D. 17.4 yards

Step-by-step explanation:

Since the area of the rectangle is 17.36 square yards, and the width is 3.1 yards, we set up and solve this equation to find the length:

17.36 = 3.1h, so h = 5.6 yards.

From this, the perimeter of the rectangle is 2(3.1 + 5.6) = 2(8.7) = 17.4 yards.

So D is the correct answer.

Answer:

its a b c d e

Step-by-step explanation:

Answer:

\(\huge\boxed{\mathrm{Range = 1.05}}\)

Step-by-step explanation:

Given Data:

2.45 , 3.50 , 2.89 , 2.99

Arrange it in ascending order.

2.45 , 2.89 , 2.99 , 3.50

Range = Highest No - Lowest No.

Range = 3.50 - 2.45

Range = 1.05

Answer:

Range=largest value-smallest value

Range=2.99-2.45

Range=0.54

Step-by-step explanation:

hope it is helpful for you

if it is please follow

The interest that will accrue while the college freshman is still in school and over the 6-month grace period for this freshman year loan is, approximately, B. $2,915.06.

The interest for federal college loans is based on the simple interest formula instead of compounding.

By compounding, we mean that interest is computed on the principal and accumulated interest.

Federal Direct Unsubsidized Loan = $15,100

Number of years for college = 4 years

The number of years before repayment = 4.5 years (4 years + 6 months)

Simple interest for 4.5 years = $2,915.06 ($15,100 x 4.29% x 4.5 years)

On the other hand, one can compute the compounded interest using an online finance calculator.

N (# of periods) = 4.5 years

I/Y (Interest per year) = 4.29%

PV (Present Value) = $15,100

PMT (periodic payment) during the 4.5 years = $0

Results:

FV = $18,241.85

Total Interest = $3,141.85

Thus, the interest is Option B.

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Answer:

x = - 9

Step-by-step explanation:

2x + 7 = - 11 ( subtract 7 from both sides )

2x = - 18 ( divide both sides by 2 )

x = - 9

The answer is:

x = -9

Work/explanation:

The point of equations is to find the variable's value by isolating it step-by-step.

For this equation, the variable is x.

To isolate it, I will perform a few operations.

First, I will subtract 7 from each side:

\(\sf{2x+7=-11}\)

\(\sf{2x=-11-7}\)

\(\sf{2x=-18}\)

Divide each side by 2

\(\sf{x=-9}\)

Hence, x = -9.

\(\rule{350}{4}\)

Step-by-step explanation:

a= c-b pls let me know if it is correct or not

Step-by-step explanation:

If 10 students are taking algebra and drafting  and 24 are taking algebta, then 24 - 10 = 14 are taking algebra only.

So   11 + 14 = 25 are taking algebra and drafting, but not both.

hope it helps!

Answer: 4.037 × 10³

Step-by-step explanation:

If you simplify 4.037 × 10³, you get 4037

4.037 × 10³

4.037 × 1000

4037

Hope this helped!

Answer:

Step-by-step explanation:

 A = l × b    So, Area of rectangle=length *  width= 3 * (c² - 4c +3)

=3-12 + 9

Answer:

m ≤ 5

Step-by-step explanation:

I will begin by assuming m to be the number.

Then, the sum of m and 3 is: m + 3.

The symbol for "less than or equal to" is ≤.

So we form an inequality, like this :

m + 3 ≤ 8

To find m subtract 3 on each side:

m ≤ 5

Therefore, m ≤ 5.

A function that represents a reflection of \(f(x) = \frac{3}{8} (4)^x\) across the y-axis include the following: D. \(g(x) = \frac{3}{8} (4)^{-x}\).

In Mathematics and Geometry, a reflection over or across the y-axis or line x = 0 is represented and modeled by this transformation rule (x, y) → (-x, y).

This ultimately implies that, a reflection over or across the y-axis or line x = 0 would maintain the same y-coordinate while the sign of the x-coordinate changes from positive to negative or negative to positive.

By applying a reflection over the y-axis to the parent exponential function, we would have the following transformed exponential function:

(x, y)                                              →                 (-x, y).

\(f(x) = \frac{3}{8} (4)^x\)                               →              \(g(x) = \frac{3}{8} (4)^{-x}\)

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