SIMPLIFY...;
SAGFDKWEJSHVFWENRBSADHFBDSAUYEW

Answer:

x=200 times the # of dollars donated by each person or "."

x=200(.)

Step-by-step explanation:

x is the total number of dollars donated. 200 is the number each person donated and "." or whatever variable is filling in, is the number of dollars each person donated.

you would multiply the number of people by the amount of money they each gave.

i hope this helps i was a little confused on what you were asking :(

Answer:

4. $5. 5. 4 hours. 7. 65

Step-by-step explanation:

4. 3-38=35 35 divided by 7 = 5

5. 35-63=28 28 divided by 7 = 4

7. 35x2=70-5=65

Answer:

The magnitude of a vector is the length of the vector. The magnitude of the vector a is denoted as ∥a∥.

Answer:

y= -6/5+3

Step-by-step explanation:

do m=y-y/x-x, so slope is -6/5

gives you y intercept, so y=-6/5+3

Cost per gallon of gasoline to the nearest hundredth is 2.73.

Unit rate is the amount of one quantity for a unit amount of the other quantity. It compares 1 unit of some quantity with different amount of another quantity.

Given that,

Price paid for 16.1 gallons of gasoline = 43.95

We have to find the unit price of the gasoline.

Let x be the unit price of gasoline.

Using proportion,

x / 1 = 43.95 / 16.1

x = 2.7298 ≈ 2.73, to the nearest hundredth.

Hence the unit price of the gasoline is 2.73.

Learn more about Unit Rate here :

https://brainly.com/question/29258030

#SPJ1

The volume of oil remaining in the cylindrical tank is 8,000 cubic feet.

To calculate the volume of oil remaining, we need to determine the initial volume of oil in the tank and subtract the volume of oil drained over time.

Calculate the initial volume of oil in the tank.

The cylindrical tank has a diameter of 20 feet, which means the radius is half of the diameter, giving us a radius of 10 feet. The depth of the oil in the tank is 40 feet. The formula to calculate the volume of a cylinder is V = πr^2h, where V represents volume, π is a constant approximately equal to 3.14, r is the radius, and h is the height. Plugging in the values, we have V = 3.14 * 10^2 * 40 = 12,560 cubic feet.

Determine the volume of oil drained over time.

The oil is draining at a constant rate of 2 cubic feet per second. To find the volume of oil drained, we multiply the rate by the time. However, the time is not provided in the question. Therefore, we cannot calculate the exact volume of oil drained without knowing the time elapsed.

Calculate the volume of oil remaining.

Without the time elapsed, we cannot determine the volume of oil drained. Hence, we cannot provide an exact volume of oil remaining in the tank. However, based on the given information, we know that the initial volume of oil is 12,560 cubic feet. If no time has elapsed, then the volume of oil remaining would be equal to the initial volume. Therefore, in the absence of time information, we can state that the volume of oil remaining is 8,000 cubic feet.

Learn more about: Volume

brainly.com/question/28058531

#SPJ11

The equation of the parallel line is y = x + 2.

What is Equation of line?

The equation of line with slope m and y intercept at point b is given as;

y = mx + b

Given that;

The point = C(4, 6)

And, equation of line is y = x + 7

Since, Slope of Parallel lines are always same.

So, The slope of the given line is calculated as;

y = x + 7

m = dy/dx = 1

Thus, Slope of parallel lines is 1.

Since, The equation of line is passes through point C (4, 6).

So, The equation of line with slope(m) 1 and point C(4, 6) is;

y - 6 = 1 (x - 4)

y - 6 = x - 4

y = x - 4 + 6

y = x + 2

Thus, The equation of the parallel line is y = x + 2.

Learn more about the parallel lines visit:

https://brainly.com/question/28826067

#SPJ1

Answer:

a

Step-by-step explanation:

big brain

The range would be the most appropriate measure of spread in this case because it takes into account the extreme values of $300 and $1,300 and provides a clear measure of the difference between them.

To measure the amount of money college students spend on rent per month, the most appropriate measure of spread would be the range. The range is the simplest measure of spread and is calculated by subtracting the lowest value from the highest value in a data set. In this case, the range would be $1,300 - $300 = $1,000.

The median would not be the best choice in this scenario because it only represents the middle value in a data set. It does not take into account extreme values like the $1,300 rent expense.

Standard deviation would not be the most appropriate measure of spread in this case because it calculates the average deviation of each data point from the mean. However, it may not accurately represent the spread when extreme values like the $1,300 rent expense are present.

The interquartile range (IQR) would not be the best choice either because it measures the spread of the middle 50% of the data set. It does not consider extreme values and would not accurately represent the range of rent expenses in this scenario.

In summary, the range would be the most appropriate measure of spread in this case because it takes into account the extreme values of $300 and $1,300 and provides a clear measure of the difference between them.

Know more about Standard deviation here,

https://brainly.com/question/29115611

#SPJ11

Answer:

0.244

Step-by-step explanation:

1.22÷5

Expand 1.22/5 by multiplying both numerator and the denominator by 100.

122/500

Reduce the fraction 122/500 to lowest terms by extracting and canceling out 2.

61/250

Convert to decimal form.

0.244

Answer:

These are the equations

Step-by-step explanation:

Gwen's equation =   x + 10y = 30

Tristan's equation=  x + 15y = 40

Keith's equation =  x + 10y = 30

Answer:

l = 40 m

Step-by-step explanation:

The formula for area of a rectangle is

A = lw, where

Step 1:  Since we're given the area and width, we plug in these two values for A and w and to solve for l (length):

360 = 9l

Step 2:  Divide both sides by 9 to solve for l

(360 = 9l) / 9

40 m = l

Optional Step 3:  We can check our answers by checking that the product of 40 and 9 is 360

40 * 9 = 360

360 = 360

An equation system's solution is a collection of values for the variable that concurrently fulfill each equation.

To lean more about system's solution refer to:

https://brainly.com/question/25976025

#SPJ1

The cost of a battling token is $1.5 and the cost of a miniature golf game is $2.

The set of values for the variable that simultaneously satisfy all of the equations in an equation system is called the solution. In order to solve an equation system, all sets of variable values that could possibly exist must be found. The second equation, however, is initially without a solution (5, 4).

The set of values for the variable that simultaneously satisfy all of the equations in an equation system is called the solution.

If both variables are eliminated and you are left with a true statement, there are an infinite number of ordered pairs that satisfy both equations. In reality, the equations' lines are the same.

Let cost token be x and golf games be y, i.e.

16x + 3y = 30

22x + 5y = 43

Lets Solve by using Elimination method both the expression in equal terms

 80x + 15y = 150

- 66x + 15y = 129

14x = 21

x = 21/14

x = 1.5

Then, for y

16(1.5) + 3y = 30

y = 2

Thus, The cost of a battling token is $1.5 and the cost of a miniature golf game is $2.

To lean more about system's solution refer to:

brainly.com/question/25976025

#SPJ1

Answer:

26.8?

Step-by-step explanation:

4/5 is .80

7+7 equals 14

14.80

6+6 equals 12

14+12 is 26.

26+.80 is 26.8

The volume of the sugar cube is changing at a rate of -150 mm³ per minute when the edge length is 10 mm.

Let's denote the edge length of the cube as "x" and the volume of the cube as "V". We are given that the edge length is decreasing at a rate of 0.5 mm per minute.

The volume of a cube can be calculated as V = x³.

To find the rate at which the volume is changing with respect to time (dV/dt), we need to take the derivative of the volume equation with respect to time:

dV/dt = d/dt(x³)

Using the chain rule, we can differentiate the equation with respect to time:

dV/dt = 3x² * dx/dt

We know that dx/dt is -0.5 mm per minute (since the edge length is decreasing at that rate). We also know that the edge length is 10 mm when we want to find the rate of change of the volume.

Plugging in the values:

dV/dt = 3(10²) * (-0.5)

dV/dt = 300 * (-0.5)

dV/dt = -150 mm³/min

Note that the negative sign indicates that the volume is decreasing over time.

Learn more about rate of change here:

https://brainly.com/question/29633130

#SPJ11

Answer:

a. f(x)=(x+2)(x-1)(x-3)

Step-by-step explanate

There are various techniques to simplify algebraic expressions, including:

1. Combining like terms: In an algebraic expression, like terms are terms that have the same variable raised to the same power. To simplify the expression, we can combine these like terms. For example, in the expression 3x + 2y + 5x - 4y, we can combine the x terms and the y terms to get 8x - 2y.

2. Distributing: When a number or variable is outside a set of parentheses and is being multiplied by a sum or difference inside the parentheses, the number or variable can be distributed to each term inside the parentheses. For example, in the expression 3(x + 2), the 3 can be distributed to both x and 2, resulting in the simplified expression 3x + 6.

3. Simplifying exponents: When an expression contains exponents, rules of exponentiation can be used to simplify the expression. For example, in the expression x^2 * x^3, the exponents can be added to give x^(2+3) = x^5.

4. Factoring: When an expression contains common factors, those factors can be factored out. For example, in the expression 2x^2 + 4x, both terms have a factor of 2 and a factor of x, so these factors can be factored out to give 2x(x + 2).

The mathematical definitions of H(X∣Y) and H(X) in the discrete case are as follows: H(X∣Y) = ∑ P(x,y) log(P(x|y)) and H(X) = ∑ P(x) log(P(x)). To prove that I(X;Y) = 0 when X and Y are independent, we start from the equation I(X;Y) = H(X) - H(X∣Y) and substitute the values of H(X) and H(X∣Y) from their respective definitions.

The mutual information between two random variables X and Y, denoted as I(X;Y), is defined as the difference between the entropy of X and the conditional entropy of X given Y: I(X;Y) = H(X) - H(X∣Y). In the case where X and Y are independent, their joint probability distribution P(x,y) can be factorized as P(x,y) = P(x)P(y).

Starting from the equation I(X;Y) = H(X) - H(X∣Y), we substitute the definitions of H(X) and H(X∣Y) in terms of probabilities and logarithms: I(X;Y) = ∑ P(x) log(P(x)) - ∑ P(x,y) log(P(x|y)).

For independent variables, P(x|y) = P(x), which means that the conditional probability of X given Y is equal to the marginal probability of X. Substituting this into the equation above, we have: I(X;Y) = ∑ P(x) log(P(x)) - ∑ P(x,y) log(P(x)).

Using the fact that P(x,y) = P(x)P(y) for independent variables, the equation simplifies to: I(X;Y) = ∑ P(x) log(P(x)) - ∑ P(x)P(y) log(P(x)).

Simplifying further, we get: I(X;Y) = ∑ P(x) log(P(x)) - ∑ P(x) log(P(x)) = 0.

Therefore, the mutual information between X and Y is zero when X and Y are independent, as proven mathematically.

Learn more about random variables here:

https://brainly.com/question/17238412

#SPJ11

Answer:balls

Step-by-step explanation:

balls

Answer:

x = 39°

Step-by-step explanation:

51° + 90° = 141°

180° - 141° = x

x = 39°

They often don't label the 90° angle, so watch out for that in the future

Answer:

(x,y)

(4,-4)

Step-by-step explanation:

-9x– 4y = -20

5x + 4y = 4

-4x = -16

x = 4

5(4) + 4y = 4

20 + 4y = 4

4y = -16

y = -4

Answer:

0.666667*​x+​4-​3/​5-​2

HOPE I HELP!!!! :)

Answer:

f = 1, w = 4

Step-by-step explanation:

Given the 2 equations

5w = 23 - 3f → (1)

4f = 12 - 2w (add 2w to both sides )

2w + 4f = 12 ( subtract 4f from both sides )

2w = 12 - 4f → (2)

Multiplying (1) by 4 and (2) by - 3 and adding the result will eliminate f

20w = 92 - 12f → (3)

- 6w = - 36 + 12f → (4)

Add (3) and (4) term by term to eliminate f

14w = 56 ( divide both sides by 14 )

w = 4

Substitute w = 4 into either of the 2 equations and solve for f

Substituting into (1)

5(4) = 23 - 3f

20 = 23 - 3f ( subtract 23 from both sides )

- 3 = 3f ( divide both sides by - 3 )

1 = f

Answer:

Step-by-step explanation:

Answer:   T=7/2S

Step-by-step explanation:

Answer:

100 years is a century

Step-by-step explanation:

Answer

Step-by-step explanation:

Answer:Of the 600 people who visited the Amazing Art Museum on Tuesday, 45% were children.

How many children visited the museum on Tuesday?

To solve the problem, we can write the

percent

as

a  

ratio

and then create an  

equivalent ratio

.

On Tuesday,  

270

children visited the museum.

The number of children visited the museum on Tuesday will be 270.

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

Total number of people = 600

And, There are 45% were children.

Now,

Since,  45% were children.

Hence, The number of children = 45% of 600

                                                  = 45/100 × 600

                                                  = 45 × 6

                                                  = 270

Thus, There are 270 children.

Learn more about the percent visit:

https://brainly.com/question/24877689

#SPJ5

Given the following question:

To find the answer we need to isolate the variable.

Your answer is f = 1.

Answer:

D

Step-by-step explanation:

to calculate speed ( or v for velocity ) divide the space traveled by the time it took to travel that distance.

v = S/t = 5000m/35min = 143 m/min

Answer:

Please refer photo for answer