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The perimeter of an equilateral triangle is 6 3/4 inches. Find the length of each side of the equilateral triangle.

Answer:

124

Step-by-step explanation:

Micah wants a total of 372 kids to be born. You can switch T out for 372.

This gives you the equation 372 = 3G.

Divide each side by 3 and you will get the answer, which is 124.

Hope I helped! Have a great day!

Answer:

[tex]\frac{1}{405}[/tex]

Step-by-step explanation:

[tex]5^{-\frac{2}{3} } *15^{-\frac{1}{3} }*3^{-\frac{11}{3} }[/tex] = [tex]5^{-\frac{2}{3} } *(3*5)^{-\frac{1}{3} }*3^{-\frac{11}{3} }[/tex] = [tex]5^{-\frac{2}{3} }*5^{-\frac{1}{3} }*3^{-\frac{11}{3} }*3^{-\frac{1}{3} }[/tex] = [tex]5^{-1}*3^{-4}[/tex]

[tex]5^{-1}*3^{-4} = \frac{1}{5*3^{4} } = \frac{1}{405}[/tex]

Answer:

-6.7

Step-by-step explanation:

Answer:

less than or equal to

Step-by-step explanation:

is used when a number cannot be bigger than a  number, can be smaller or equal to

Answer:

Less than or equal to.

Step-by-step explanation:

So if I had 5 ≤ Z then Z is either the same thing as 5 or less than it.

The value of X in the chart for the 1st-year interest is $40 according to the given information.

According to the given information, the chart represents the 1st-year interest values. Among the provided options, the value of X in the chart is $40. This means that when considering the first year of interest, the corresponding value is $40.

The other options (b, c, d, and e) are not applicable to the given scenario. It is important to note that without access to the actual chart or any specific context, this answer is based solely on the provided information and available options.

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Answer:

Step-by-step explanation:

What is the sign between 6 and 7/18h

Answer:_3.1

Step-by-step explanation:

Answer:

That's cool.

Step-by-step explanation:

Answer:

Two triangles are similar if they have:

Step-by-step explanation:

all their angles equal

corresponding sides are in the same ratio

But we don't need to know all three sides and all three angles ...two or three out of the six is usually enough.

There are three ways to find if two triangles are similar: AA, SAS and SSS:

Answer: A

Step-by-step explanation:

The most economical dimensions for the fence are approximately L ≈ 17.8885 feet and W ≈ 17.8885 feet, resulting in the minimum total cost of the fence.

To find the dimensions that result in the most economical construction of the fence, we need to minimize the total cost of the fence.

Let's assume the length of the enclosure is L and the width is W. Since the area of the enclosure is given as 320 square feet, we have the equation:

L * W = 320

We are given that the material for three sides costs $6 per foot, and the material for the fourth side (length) costs $13 per foot. The total cost of the fence can be calculated as:

Cost = 3 * (L + W) * 6 + L * 13

Simplifying this equation, we have:

Cost = 18L + 18W + 13L

Cost = 31L + 18W

To find the most economical dimensions, we need to minimize the cost. Since W ≤ L, we can rewrite the equation in terms of W:

Cost = 31L + 18W = 31(W + W) + 18W = 49W + 31W = 80W

To minimize the cost, we need to minimize W. However, W must satisfy the equation L * W = 320.

We can find the minimum value of W by finding the positive square root of 320 and then finding its reciprocal:

[tex]W = \frac{1}{\sqrt{320}} \approx 0.05634[/tex]

Since W must be less than or equal to L, we can set W equal to the square root of 320:

[tex]W = \sqrt{320} \approx 17.8885[/tex]

Therefore, the most economical dimensions are:

L ≈ 17.8885

W ≈ 17.8885

Please note that the dimensions are approximate due to rounding.

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The correct system of inequalities that can be used to model the scenario is given by the options; 12x + 8.50y < 1000 and x + y ≥ 150.How to arrive at the solution:Let x be the number of tickets sold at the door and y be the number of tickets sold in advance.The cost of each ticket sold at the door is $12. Hence, the revenue generated from x number of tickets sold at the door is given by 12x.          

The cost of each ticket sold in advance is $8.50. Hence, the revenue generated from y number of tickets sold in advance is given by 8.50y.The total revenue that will be generated from the sales is the sum of the revenue generated from x and y tickets. Hence, the total revenue is given by 12x + 8.50y.The drama club has a goal of selling at least $1000 worth of tickets to Saturday's show. Thus, the inequality that represents this goal is given by:12x + 8.50y ≥ 1000.The auditorium holds 200 people. Hence, the total number of tickets sold (x + y) cannot be greater than 200. Thus, the inequality that represents this condition is given by:x + y ≤ 200.Apart from the inequality x + y ≤ 200, we need another inequality that relates to the revenue. Let's set a lower bound on the total revenue. We need to find an integer k such that 12x + 8.50y > k for each (x, y) pair that satisfies x + y = 200. This integer k is the smallest possible revenue generated if all 200 seats are sold. One way to find k is to substitute x = 200 - y into the revenue function and find the minimum value of the resulting function as y ranges from 0 to 200. Let's do this.12x + 8.50y = 12(200 - y) + 8.50y = 2400 - 3y + 8.50y = 2400 + 5.50y.Since 5.50 is positive, the revenue is minimum when y is minimum, which is 0. Hence, k = 2400.The smallest total revenue is $2400 when all 200 tickets are sold. The drama club has a goal of selling at least $1000 worth of tickets to Saturday's show. Thus, the inequality that represents this goal is given by:12x + 8.50y ≥ 1000.To summarize:12x + 8.50y < 1000 (Revenue goal) x + y ≥ 150 (Ticket goal)Therefore, the system of inequalities that can be used to model this scenario is given by:12x + 8.50y < 1000x + y ≥ 150.        

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Answer:

The price of the hats is $ 10, the price of the masks is $ 5 and the price of the T-shirts is $ 15.

Step-by-step explanation:

A system of equations is a set of two or more equations with several unknowns in which you want to find a common solution.

In other words, a  system of linear equations is a system of equations in which each equation is linear. A solution of a system is an assignment of values ​​for the unknowns that makes  each of the equations is true, so solving a system means finding all the solutions of the system.

In this case you apply a system of equations. So you first determine the system variables:

You know that Jose purchased 2 hats, 3 masks, and 1 t-shirt for  $50. This is:

2*x + 3*y + 1*z=50 Equation (A)

You know that Hannah purchased 1 hat, 2 masks, and 2 t-shirts for $50. This is:

1*x + 2*y + 2*z=50 Equation (B)

You know that Amarria purchased one of each item for $30. This is:

1*x + 1*y + 1*z=30 Equation (C)

The system of equations is formed by equations (A), (B) and (C).

The method of reduction consists of adding (or subtracting) the equations to each other to eliminate one of the unknowns. Sometimes, it is necessary to multiply the equations by some number so that, when adding them, one of the unknowns disappears.

In this case you apply the method to calculate the value of z. Subtracting (A) - (B) - (C) you get:

(2-1-1)*x + (3-2-1)*y + (1-2-1)*z= 50-50-30

Solving:

0*x + 0*y + (-2)*z=-30

(-2)*z=-30

[tex]z=\frac{-30}{-2}[/tex]

z=15

Remembering that z represents the price of the t-shirts, then each has a value of $ 15.

Replacing the value of z in equation (A):

2*x + 3*y + 1*15=50

you get:

2*x + 3*y= 50 - 15

2*x + 3*y=35 Equation (D)

Replacing the value of z in equation (B):

1*x + 2*y + 2*15=50

1*x + 2*y + 30= 50

1*x + 2*y= 50- 20

1*x + 2*y= 20 Equation (E)

The substitution method consists of choosing an equation and solving one unknown in terms of the other unknown. Then you must substitute the expression found in the other equation, to obtain an equation with an unknown, and then solve that unknown. Finally, you substitute the value found in the previously found expression to solve for the remaining unknown.

Solving for the variable x from Equation (E) you get:

x= 20- 2*y Equation (F)

Replacing in Equation (D), you get:

2*(20-2*y) + 3*y=35

Solving:

2*(20) + 2*(-2)*y + 3*y= 35

40 - 4*y + 3*y=35

- 4*y + 3*y=35 - 40

(-1)*y= -5

[tex]y=\frac{-5}{-1}[/tex]

y=5

Remembering that y represents the price of the masks, then each has a value of $ 5.

Finally, replacing the value of y in equation (F) you get:

x=20 - 2*5

x= 20-10

x=10

Remembering that y represents the price of the hats, then each has a value of $ 10.

In summary, the price of the hats is $ 10, the price of the masks is $ 5 and the price of the T-shirts is $ 15.

Answer:

2/5 m ÷ by 6 minutes is the unit rate (can you do this division?)

On careful reading, I see that you're asked for minutes per meter, so that 6 min divided by 0.4 m, which is 2.5 times 6 min or 15 minutes per meter.

Answer:

15 min

Step-by-step explanation:

2/5 divided by 6

=2/5 * 1/6

=2/30

=1/15

15 min

Answer:

3/10

Step-by-step explanation:

Answer:

3/10

Step-by-step explanation:

Answer:

$2.40

Step-by-step explanation:

3 percent * 80 =

(3:100)* 80 =

(3* 80):100 =

240:100 = 2.4

The mean is the average value of the given data set. To find the mean, sum up all the data values and divide the result by the number of values in the set.

The age values for the given data tuples are: 19, 22, 28, 34, 39, 43, 45, 50, 59, 65.

The sum of all these values can be calculated as:19 + 22 + 28 + 34 + 39 + 43 + 45 + 50 + 59 + 65 = 404

Therefore, the mean can be calculated as:

Mean = 404 / 10

Mean = 40.4

When we round this value to the nearest integer, we get the mean as 40.

Therefore, the value of the mean is 40.

The mean is a commonly used statistical measure that is used to calculate the average value of a data set. It is calculated by summing up all the values in the data set and dividing the result by the number of values in the set. In this question, we were asked to find the mean of a set of age values. We calculated the mean by adding up all the values in the set and dividing the result by the number of values in the set. We then rounded the answer to the nearest integer to get the final result. The mean of the given data set is 40.

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Answer:

It is proportional and the constant of proportionality is 5/9

Step-by-step explanation:

If a function is proportional it is in the form

y = kx

Since this is in the form

y= kx

y = 5/9 x

It is proportional and the constant of proportionality is 5/9

Answer:

y＝1/7x+4

Step-by-step explanation:

You just put either x or y inside,then you could get the answer.

Please let my answer as brainest

Answer:

Step-by-step explanation:

Lin drew a triangle and a dilated triangle with a scale factor of [tex]\frac{1}{2}[/tex].

That means image of the original triangle is smaller than the preimage.

1). Center of dilation will be point A.

   Since, triangle ACB has been reduced to form triangle ADE by a scale factor of [tex]\frac{1}{2}[/tex]

Scale factor = [tex]\frac{\text{Length of one side of the Image}}{\text{length of the side of the preimage}}[/tex] = [tex]\frac{1}{2}[/tex]

[tex]\frac{AD}{AC}=\frac{1}{2}[/tex]

AD = [tex]\frac{1}{2}AC[/tex]

So the center of dilation is point A.

2). Since triangle ADE is half of the triangle ACB, triangle ACB is preimage (original) and triangle ADE is an image after dilation.

Answer:

Brainliest for answer

Step-by-step explanation:

The value of k in the equation f(x) + k is 8

To find the value of k in the equation f(x) + k, we can use the information given about the y-intercepts of the linear functions.

The y-intercept of a linear function is the value of y when x is equal to 0. In this case, the original function f(x) has a y-intercept of -2, which means that when x is 0, the value of y is -2.

Therefore, we can write the equation for the original function as f(x) = mx - 2, where m represents the slope of the function.

Now, let's consider the function f(x) + k. This function is obtained by adding k to the original function, which means that for any value of x, the y-value of the new function will be k units higher than the y-value of the original function.

Given that f(x) + k has a y-intercept of 6, we can substitute x = 0 and y = 6 into the equation f(x) + k to solve for k:

f(0) + k = 6

Since f(0) is the y-intercept of the original function and is equal to -2, we can rewrite the equation as:

-2 + k = 6

By adding 2 to both sides of the equation, we find:

k = 6 + 2 = 8

Therefore, the value of k is 8.

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Answer:

I think it would be B.

I took 528÷ 264=2 this tell me how many MB one picture equals. Then I took 2×35 which gave me 70. Have a Lovely Day.

Answer:

PD = 95%

Step-by-step explanation:

(2,000 - 100) / 2,000       times 100

( (original - new) ) / original     times 100

=  1,900 / 2,000    times 100

=  0.95 times 100

=  95% decrease

After calculating the total distances for each scenario, we can compare them to find the worst-case scenario that minimizes the total distance traveled. The scenario with the smallest total distance will be the best option.

To determine the worst-case scenario that minimizes the total distance traveled in two-way trips to and from the existing departments, we need to calculate the total distance for each possible combination of facility locations (F1 and F2).

Let's calculate the total distance for each scenario:

F1 to A, and F2 to B:

Total distance = distance(D1 to F1) + distance(F1 to A) + distance(D2 to F2) + distance(F2 to B) + distance(D3 to F2) + distance(D4 to F2) + distance(D5 to F1)

Calculate the distances using the coordinates provided and sum them up.

F2 to A, and F1 to B:

Total distance = distance(D1 to F2) + distance(F2 to A) + distance(D2 to F1) + distance(F1 to B) + distance(D3 to F1) + distance(D4 to F1) + distance(D5 to F2)

Calculate the distances using the coordinates provided and sum them up.

F1 to C, and F2 to B:

Total distance = distance(D1 to F1) + distance(F1 to C) + distance(D2 to F2) + distance(F2 to B) + distance(D3 to F2) + distance(D4 to F2) + distance(D5 to F1)

Calculate the distances using the coordinates provided and sum them up.

None of them (No facility locations specified)

F1 to B, and F2 to C:

Total distance = distance(D1 to F1) + distance(F1 to B) + distance(D2 to F1) + distance(F2 to C) + distance(D3 to F2) + distance(D4 to F2) + distance(D5 to F1)

Calculate the distances using the coordinates provided and sum them up.

After calculating the total distances for each scenario, we can compare them to find the worst-case scenario that minimizes the total distance traveled. The scenario with the smallest total distance will be the best option.

Please note that to calculate the distance between two points, you can use the Euclidean distance formula:

Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Perform the calculations for each scenario to determine the worst-case scenario that minimizes the total distance traveled.

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Answer:

-definition of cosine

-definition of sine

-Pythagorean Theorem

-Substitution

-laws of exponents

Step-by-step explanation:

The blanks are filled by the definition of cosine, the definition of sine,  Pythagorean Theorem, substitution, and laws of exponents respectively.

A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.

Given the right triangle shown below, prove cos²(θ) + sin²(θ) = 1.

A triangle with sides x, y, and hypotenuse r.

Angle θ is opposite to side y.

As per the Laws of Cosine,

cos(θ) = x/r, and

As per the Laws of Sine,

sin(θ) = y/r.

Multiplying both sides of the above equations by r,

x = r cos(θ) and

y = r sin(θ).

The Pythagorean Theorem states that x² + y² = r².

By Substitution method, we have [r cos(θ)]² + [r sin(θ)]²= r².

Applying the Laws of Exponents, the equation can be written as r² cos²(θ) + r² sin²(θ) = r².

Dividing both sides of the equation by r² results in cos²(θ) + sin²(θ) = 1.

Hence, the blanks are filled by the definition of cosine, the definition of sine,  pythagorean theorem, substitution, and laws of exponents respectively.

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Answer:

2m+3n=20

Step-by-step explanation:

Answer: 1.5 should be your answer. Not 100% sure.

The scale factor from polygon ABCD to polygon PQRS is 1.5.

The scale factor is the ratio of two dimensions such that one figure is large and another is small.

The scale factor is done due to the unpractical measurement of any figure.

For example, 50 meters is very big so we cannot measure it but if we can convert it into 50 mm such that the scale ratio is maintained then it will be easy to draw.

The scale factor is the ratio of sides of any figure

Scale factor = side of new polygon / side of the old polygon

Scale factor = PS/AD

Scale factor = 3/2 = 1.5

Hence "The scale factor from polygon ABCD to polygon PQRS is 1.5".

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Answer: The answer is supply.

Step-by-step explanation:

I just took the test for it.

In the given condition supply is growing faster.

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

Now it is given that,

Increase in demand =  $900,000 per year to $990,000

So, percentage in increase in demand = (990,000-900,000)/900,000 * 100%

⇒ percentage in increase in demand = 10%

Increase in supply =  100 to 120

So, percentage in increase in supply = (120-100)/100* 100%

⇒ percentage in increase in supply = 20%

Thus, comparing we get

percentage in increase in supply > percentage in increase in demand

Thus, In the given condition supply is growing faster.

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