If 5/x = 15/x+20, what is the value of x/5?

Answer:

Step-by-step explanation:

This problem is based on compound interest, and the expression for the compound interest is given as

Given Data

A = final amount  =  ?

P = initial principal balance  = $2,500

r = interest rate = 2.1%= 0.021

t = number of time periods elapsed= 14 years

Substituting our data into the compound interest formula we can solve for the final amount

\(A= 2500(1+0.021)^1^4\\A= 2500(1.021)^1^4\\A= 2500*1.3377\\A= 3344.25\\\)

Hence to the nearest hundred we have the account balance has $3,000

Answer:3400

Step-by-step explanation:

Answer:

y=6x

Step-by-step explanation:

if u times x by 6 you get the y number underneath

for example:

x=1

y=6

so 1×6=6

x=2

y=12

so 2×6=12

Answer:

9.9\(cm^{3}\)

Step-by-step explanation:

Formula:

1/3(area of the base x height)

1/3 [2.175(2.175)(6.3)]

1/3(4.730625)(6.3)

1/3(29.8029375)

9.9343125

Is the perimeter of the base is 8.7, we need to divide that by 4 (2.175) to find out the side length of the square.  The area of the square, we need to multiply 2.175 by 2.175.

9.9343125 rounded to the nearest tenth is 9.9

Helping in the name of Jesus.

Given:

a.) A plot of land for sale has a width of x ft. and a length that is 8 ft. less than its width.

b.) A farmer will only purchase the land if it measures 240 ft.

From the given description of the measurement of the land, we generate the following equations:

Width = w

Length = w - 8

Area of the Land = 240 ft.^2

Area = Width x Length

240 = (w)(w - 8)

240 = w^2 - 8w

w^2 - 8w - 240 = 0

Question 1: Create an equation in terms of w that models this situation.​

Answer: 240 = w^2 - 8w

Factoring out 240 = w^2 - 8w, we get:

240 = w^2 - 8w

w^2 - 8w - 240 = 0

w^2 - 8w - 240 = 0 → (w - 20)(w + 12) = 0

First possible measure of the width,

w - 20 = 0

w = 20 ft.

Second possible measure of the width,

w + 12 = 0

w = -12 ft.

A dimension must never be a negative value, therefore, the width must be equal to 20 ft.

Let's determine the length,

Length = w - 8

= 20 - 8

Length = 12 ft.

Summary:

The equation that models the situation: 240 = w^2 - 8w or w^2 - 8w = 240

The measure of the length = 12 ft.

The measure of the width = 20 ft.

Answer:

D. (8,0), (4,0)

Step-by-step explanation:

they both on tha line

The calculated value of the length of the segment ST is 13.5

From the question, we have the following parameters that can be used in our computation:

The trapezoids

The length of the segment ST is then calculated as

XY/XW = ST/SR

substitute the known values in the above equation, so, we have the following representation

9/12 = ST/18

So, we have

ST = 18 * 9/12

Evaluate

ST = 13.5

Hence, the length of the segment ST is 13.5

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Answer:

d) 19/4

Step-by-step explanation:

Given mixed number,

→ 4 3/4

Now the improper fraction is,

→ 4 3/4

→ 19/4

Hence, option (d) is correct.

Answer:

division is required on left side

Step-by-step explanation:

24 _ - \(\frac{3}{4}\)

consider 24 ÷ - \(\frac{3}{4}\)

change division to multiplication and turn fraction upside down

= 24 × - \(\frac{4}{3}\)

= 8 × - 4

= - 32 ← equals value on right side

The simplified expression without absolute value signs is x - 2.

To simplify the expression |x - 2| when x > 2, we can use the fact that if x is greater than 2, then x - 2 will be positive. In this case, |x - 2| simplifies to just x - 2.

This simplification is based on the understanding that the absolute value function, denoted by | |, returns the positive value of a number. When x > 2, x - 2 will be positive, and the absolute value function is not needed to determine its value. In this case, the expression simplifies to x - 2.

However, it's important to note that when x ≤ 2, the expression |x - 2| would simplify differently. When x is less than or equal to 2, x - 2 would be negative or zero, and |x - 2| would simplify to -(x - 2) or 2 - x, respectively.

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Answer: A. 5

Step-by-step explanation:

Answer:

A)  5 cm.

Step-by-step explanation:

Volume = length * width * height

150 = length * 5 * 6

Length = 150 / (5*6)

= 150/30

= 5.

Becca made a total of 24 rolls and 12 biscuits.

Multiplication is one of the four elementary mathematical operations of arithmetic, with the other ones being addition, subtraction, and division. The result of a multiplication operation is called a product.

Becca made 2 trays of rolls and biscuits, with 12 rolls and 6 biscuits in each tray. To find the total number of rolls and biscuits, we need to multiply the number of rolls and biscuits per tray by the number of trays, and then add them together:

Total rolls = 2 trays × 12 rolls per tray = 24 rolls

Total biscuits = 2 trays × 6 biscuits per tray = 12 biscuits

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An equation for C is C = 0.1t + 4.

An interpretation of the slope of the graph is that the total cost of using a computer increases by 0.1 per minute.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (5 - 4.5)/(10 - 5)

Slope (m) = 0.5/5

Slope (m) = 0.1

At data point (10, 5) and a slope of 0.1, a linear equation for C can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 5 = 0.1(x - 10)

y = 0.1x + 5 - 1

y = 0.1x + 4 ≡ C = 0.1t + 4

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Answer:

8

Step-by-step explanation:

128/6=8

Answer:

8.

divide 128 by 16 and its ^

The final marked up price is $586.5

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate the percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word percent means per 100. It is represented by the symbol “%”

Given here: Discount %=15 Marked price=$600 and after the sale marked up percentage is 15%

Thus, Discounted price = 600×(1-15%)

                                        = 600× 0.85

                                         =$510

And therefore the marked up price after sale is= $510×(1+15%)

                                                                              = $586.5

Hence, The final marked up price is $586.5

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Answer:

30 (random guess)

Step-by-step explanation:

SOLUTION:

The z-score is gotten as;

Inserting, the values we have;

Thus, using a significance level of 0.05;

Thus, the answer is OPTION C

Answer:

The answer to our question is A = 16,100(1.001)12t; $17,510

Step-by-step explanation:

I hope this helps and have a good day!

344865

Explanation

Use the following formula:

In this case, n=830, thus you get your answer by entering 830 in the formula like this:

so, the answer is

344865

There were 110 children and 237 adults whο swam at the public pοοl that day.

Let's assume that the number οf children whο used the swimming pοοl is x, and the number οf adults is y.

Accοrding tο the prοblem, the tοtal number οf peοple whο used the swimming pοοl is 347. Therefοre, we have:

x + y = 347 ....(1)

Alsο, the tοtal amοunt cοllected in admissiοn fees is $785.00. We knοw that the admissiοn fee fοr children is $1.75 and fοr adults is $2.50. Therefοre, we can write anοther equatiοn as:

1.75x + 2.5y = 785 ....(2)

We nοw have twο equatiοns with twο unknοwns. We can sοlve fοr x and y by using any suitable methοd. Here, we will use the substitutiοn methοd.

Frοm equatiοn (1), we can express y in terms οf x as:

y = 347 - x

We can substitute this expressiοn fοr y in equatiοn (2), and sοlve fοr x:

1.75x + 2.5(347 - x) = 785

1.75x + 867.5 - 2.5x = 785

-0.75x = -82.5

x = 110

Therefοre, the number οf children whο used the swimming pοοl is 110. We can use equatiοn (1) tο find the number οf adults:

110 + y = 347

y = 237

Therefοre, the number οf adults whο used the swimming pοοl is 237.

Therefοre, there were 110 children and 237 adults whο swam at the public pοοl that day.

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Answer:

27x^2

Step-by-step explanation:

since the x^2's the same, keep that ans then just do 17 +10

Answer: Link the graphs and more information, cannot answer the question because of insufficient information.

Step-by-step explanation:

Taking a difference, we can see that the trip to city C is 482.6 mi longer.

Here we know that the distance from city a to city b is 256.8 miles, and the distance from city a to city c is 739.4 miles

To find how much farther is the trip to city c than the trip to city b, we just need to take the difference between the two distances above.

That means that we need to take the distance to city c and subtract the distance to city b.

We will get:

739.4 mi -  256.8 mi = 482.6 mi

The trip to city C is 482.6 mi more than the trip to city B.

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1 cup of flour is approximately 128 grams.

According to my tests, you should use 128 grammes for a cup of all-purpose flour if you want to bake with weights and the recipe's creator doesn't provide a weight for their flour.

If you want to be able to adapt American recipes to the metric system, working with weights is essential (converting flour from cups to grams). A recipe should always be broken down by weight if you want to see the proportions of the various ingredients. Using weights also makes it easier and more accurate to scale recipes up or down.

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The quantum heat capacity of gaseous H2 associated with these vibrations would not approach 10.0% of its classical value at any temperature.

The quantum heat capacity of a gas refers to the amount of heat required to raise the temperature of the gas by a certain amount, taking into account the quantized nature of the gas's energy levels. The classical heat capacity, on the other hand, assumes that energy levels are continuous.

To determine the temperature at which the quantum heat capacity of gaseous H2 associated with stretching vibrations approaches 10.0% of its classical value, we can use the equipartition theorem.

The equipartition theorem states that each degree of freedom of a molecule contributes (1/2)kT to its energy, where k is the Boltzmann constant and T is the temperature.

In the case of the stretching vibrations of a diatomic molecule like H2, there are two degrees of freedom: one for kinetic energy (associated with stretching) and one for potential energy (associated with the spring-like behavior of the bond).

The classical heat capacity of a diatomic gas at constant volume (CV) can be calculated using the formula CV = (1/2)R, where R is the molar gas constant. The classical heat capacity at constant pressure (CP) is given by CP = CV + R.

The quantum heat capacity of a diatomic gas can be calculated using the formula CQ = (5/2)R, as each degree of freedom contributes (1/2)R to the energy.

To find the temperature at which the quantum heat capacity of gaseous H2 associated with stretching vibrations would approach 10.0% of its classical value, we need to solve the equation:

(5/2)R = 0.1 * (CV + R)

First, let's express CV in terms of R:

CV = (1/2)R

Substituting this into the equation:

(5/2)R = 0.1 * ((1/2)R + R)

Now we can solve for R:

(5/2)R = 0.1 * (3/2)R

Dividing both sides by R:

(5/2) = 0.1 * (3/2)

Simplifying:

(5/2) = 0.15

This equation is not true, so there is no temperature at which the quantum heat capacity of gaseous H2 associated with stretching vibrations would approach 10.0% of its classical value.

Therefore, the quantum heat capacity of gaseous H2 associated with these vibrations would not approach 10.0% of its classical value at any temperature.

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Answer:

Solve the equation for  x  by finding  a ,  b , and  c

of the quadratic then applying the quadratic formula.

x = − 2  Double roots

Answer: yes

Step-by-step explanation:

Answer:

y= -3x + 10

Step-by-step explanation:

we can answer this question thanks to this formula:

y-y1 = m(x-x1) where y1 and x1 indicate the coordinates of the given point and m indicates the slope

y-4 = -3(x-2)

y = -3x+6+4

y= -3x + 10

Answer:

b=0.125

Step-by-step explanation:

0.6b-0.5=0.25

0.6b=0.75

b=0.125

Your Answer:

B= 1.25.