How long is 20 yards?

A. 600 in.
B. 720 in.
C. 840 in.
D. 900 in.

Answer:

Equation: P(w) = 4w + 8

Step-by-step explanation:

The step is zero.  That and being told that the relationship is linear.

The general equation is P(w) = mw + y intercept.

When w = 0 then P(w) = 8

The only way that can happen is when P(w) = 0 + y intercept

y intercept = 8 because P(w) = 8

So far what we have is P(W) = mx + 8  So you are starting with 8 rats.

Now suppose w = 2. The number of rats P(2) that you get is 16

So you are solving for m.

16 = m*2 + 8                         Subtract 8 from both sides

16 - 8 = 2*m + 8 - 8              Combine

8 = 2m                                 Divide by 2

8/2 = 2m/2

m = 4

Step-by-step explanation:

The ONE  solution to this system of two lines is the point where the two lines cross   at   (1,4)

The point that represents an INEFFICIENT point of production is point A.

The correct answer is an option (a)

In this question we have been given a graph of Skateboards vs. Bikes.

We need to find the point that represents an INEFFICIENT point of production.

Inefficient production means the economy can be producing more goods without using any additional resources.

In given production possibility curve, an INEFFICIENT point of production is point A.

Therefore, the point that represents an INEFFICIENT point of production is point A.

The correct answer is an option (a)

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The equation X^2/2 - 8 = 2X - 2 has two solutions, X = 6 and X = -2. These are the values of X that satisfy the equation and make both equations Y = X^2/2 - 8 and Y = 2X - 2 intersect on the graph.

To find the solutions to the equation X^2/2 - 8 = 2X - 2, we need to set the two equations equal to each other and solve for X.

The equation is:

X^2/2 - 8 = 2X - 2

To simplify the equation, let's multiply both sides by 2 to eliminate the fraction:

X^2 - 16 = 4X - 4

Next, we rearrange the equation to have all terms on one side:

X^2 - 4X - 12 = 0

Now, we can solve this quadratic equation by factoring, completing the square, or using the quadratic formula. Let's use factoring in this case:

(X - 6)(X + 2) = 0

Setting each factor equal to zero gives us two possible solutions:

X - 6 = 0 --> X = 6

X + 2 = 0 --> X = -2

So the solutions to the equation X^2/2 - 8 = 2X - 2 are X = 6 and X = -2.

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100 miles in a day the truck should have to cover so that the rental costs for company A and company B are same

Company A rented a truck for  ​$70 a day and $.5 per mile will be added accordingly. Similarly, Company B rented a truck for  ​$30 a day and $.9 per mile will be added as per distance covered.

Let the number of miles travelled by the truck be x.

Then, we can depict the given information in terms of equation and will equate them further to solve according to the question need.

So, total rent to be pay to company A = ​$(70+0.5x)

and total rent to be pay to company B = ​$(30+0.9x)

Now, the number of miles in a day at which the rental costs for Company A and Company B are the same will be

70+0.5x = 30+0.9x .............(1)

Now, solve equation (1) in order to calculate the value of x.

70-30 = 0.9x-0.5x

40 = 0.4x

40/0.4 = x

400/4 = x

100 = x

∴ x = 100

Hence, 100 miles in a day the truck should have to cover so that the rental costs for company A and company B are same.

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There are 50 oranges did Molly pick.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

Higher Order Thinking Molly and five friends picked a total of 300 oranges.

Now,

Since, Number of oranges = 300

And, Number of persons = 6

Hence, Number of oranges picked by each person = 300 / 6

                                                                                = 50

Thus, There are 50 oranges did Molly pick.

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Answer:

nice!

Step-by-step explanation:

The town should be located 13.4 units from each other

The formula for calculating the distance between two points is expressed as:
√(x2-x1)²+(y2-y1)²

The midpoint of two coordinates is expressed as:
\(m(x, y)=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} )\)

Substitute the given coordinate

\(m(x, y)=(\frac{3+15}{2}, \frac{1+7}{2} )\\m(x,y)=(9,4)\)

Hence the town should be located at coordinate (9, 4)

Calculate the distance

D =  √(15-3)²+(7-1)²

D =  √(12)²+(6)²

D = 13.4units

Hene the town should be located 13.4 units from each other

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The maximum revenue possible in this situation is 15625/A dollars, where A is the coefficient in the quadratic equation.

To find the maximum revenue possible in this situation, we can use the concept of vertex or the vertex form of a quadratic equation.

The revenue equation is given by R = -Ax^2 + 250x, where A is a constant coefficient.

The maximum revenue occurs at the vertex of the parabolic curve represented by the equation. The x-coordinate of the vertex can be found using the formula x = -b / (2a), where a and b are the coefficients of the quadratic equation.

In this case, a = -A and b = 250. Plugging in these values, we get:

x = -250 / (2 * (-A))

= 125 / A

To find the maximum revenue, we substitute this value of x into the revenue equation:

R = -A * (125 / A)^2 + 250 * (125 / A)

= -A * (15625 / A^2) + (31250 / A)

= -15625 / A + 31250 / A

= 15625 / A

The maximum revenue is given by 15625 / A. The value of A is not specified in the question, so we cannot determine the exact maximum revenue without knowing the value of A. However, we can say that the maximum revenue increases as A decreases.

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The solution to the equation -2(x + 3) = -6 is x = 0.

To simplify the expression 5t + 7 + 8b, we can combine like terms.

There are two like terms in the expression: 5t and 8b.

Combining the like terms gives us:

5t + 8b + 7

Therefore, the simplified form of the expression 5t + 7 + 8b is 5t + 8b + 7.

Regarding the equation -2(x + 3) = -6:

To solve this equation, we can follow these steps:

Distribute the -2 to the terms inside the parentheses:

-2 * x + (-2) * 3 = -6

This simplifies to:

-2x - 6 = -6

Move the constant term to the right side by adding 6 to both sides of the equation:

-2x = 0

Divide both sides of the equation by -2 to isolate the variable x:

x = 0 / -2

Simplifying the right side of the equation gives us:

x = 0

The solution to the equation -2(x + 3) = -6 is x = 0.

The simplified expression 5t + 7 + 8b remains as 5t + 8b + 7, and the solution to the equation -2(x + 3) = -6 is x = 0.

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Answer:

\(7\sqrt{3} +12\sqrt{2}\)

Step-by-step explanation:

\(\sqrt{12} -\sqrt{18} +3\sqrt{50} +\sqrt{75}\)

\(\implies \sqrt{4\times3} -\sqrt{9\times2} +3\sqrt{25\times2} +\sqrt{25\times3}\)

\(\implies \sqrt{4}\sqrt{3} -\sqrt{9}\sqrt{2} +3\sqrt{25}\sqrt{2} +\sqrt{25}\sqrt{3}\)

\(\implies 2\sqrt{3} -3\sqrt{2} +3(5)\sqrt{2} +5\sqrt{3}\)

\(\implies 2\sqrt{3} -3\sqrt{2} +15\sqrt{2} +5\sqrt{3}\)

\(\implies 2\sqrt{3} +5\sqrt{3} +15\sqrt{2} -3\sqrt{2}\)

\(\implies 7\sqrt{3} +12\sqrt{2}\)

The slope-intercept form of a line 4y - 8x = 12 is y = 2x + 3 and the slope is 2. The graph is attached below.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively.

Given:

4y - 8x = 12

Convert this equation to slope intercept form as shown below,

4y = 8x + 12

y = 8x / 4 + 12 / 4

y = 2x + 3

Here, the slope of the line is 2,

Therefore, the slope-intercept form of a line 4y - 8x = 12 is y = 2x + 3 and the slope is 2. The graph is attached below.

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The angle m∠J  in the right angle triangle is 58.1 degrees.

One of the angle of a right tangle triangle is 90 degrees. The sum of

angles in a triangle is 180 degrees.

Therefore, the side length LK can be found using Pythagoras's theorem and the angle can be found using trigonometric ratios.

Hence,

tan ∠J = opposite / adjacent

tan ∠J = 15.1 / 9.4

∠J = tan⁻¹ 1.60638297872

∠J = 58.0909229196

Therefore,

m∠J = 58.1 degrees

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For the linear function built from the scatter plot, it is found that:

The slope-intercept representation of a linear function is the rule presented as follows:

y = mx + b

The coefficients of the function and their meaning are listed as follows:

From the graph, we have that when x = 0, y = 500, hence the intercept of the line is:

b = 500.

When the input increases by 200, the output increases by 1000, hence the slope is:

m = 1000/2 = 5.

Thus the equation is:

y = 5x + 500.

The graph is given by the image at the end of the answer.

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Answer:

A) 30 in³

B) V=lwh (or) V+5x3x2

C) 3 times

Step-by-step explanation:

A) 30in³

B) V=LWH (or) V+5x3x2

C) V=\(\pi\)r²h = \(\pi\)(2.6²)(4) = 84.94867

85.94867÷30= 2.83, so he’d need to fill the rectangular prism 3 times.

Answer:

a. 30 in³

b. V = whl

c. 3 times

Step-by-step explanation:

a. v = whl

V = (3 in)(2 in)(5 in)

V= 30 in³

b. V = whl

c. Volume of the cylinder = pi(r²)h            r = d/2 = 5.2 / 2 = 2.6

Vc = pi (2.6²)(4)

Vc ≈ 84.94 in³

84.94 in³/30 in³ ≈ 3 times

Answer:

8.

Step-by-step explanation:

Constant = Constant

Answer:

Hello! answer: 76

Step-by-step explanation:

Formula to find area is base × height ÷ by 2 12 + 7 = 19 19 × 2 = 152 152 ÷ 2 = 76 HOPE THAT HELPS!

The present value of the annuity is approximately `7032.08. The correct answer is option (d) None of these.

To find the present value of an annuity, we can use the formula:

PV = PMT * (1 - (1 + r)^(-n)) / r

Where PV is the present value, PMT is the periodic payment, r is the interest rate per period, and n is the number of periods.

In this case, the periodic payment is `200, the interest rate is 5% (or 0.05) converted quarterly, and the number of periods is 10 years, which equals 40 quarters.

Plugging in these values into the formula, we get:

PV = 200 * (1 - (1 + 0.05)^(-40)) / 0.05

Simplifying the equation, we find:

PV ≈ 200 * (1 - 0.12198) / 0.05

PV ≈ 200 * 0.87802 / 0.05

PV ≈ 35160.4 / 0.05

PV ≈ 7032.08

Therefore, the present value of the annuity is approximately `7032.08.

None of the provided answer options (a), (b), or (c) match this result. The correct answer is (d) None of these.

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Step-by-step explanation:

6 cm, 8 cm, and 10 cm (B) form a triangle.

The Triangle Inequality Theorem states that the sum of the lesser two sides must be greater than the third.

If the data is not skewed, then the mean is the best measure of center.

This then also includes the standard deviation because the standard deviation relies on the mean.

To get the mean, add up the data values:

5+6+7+7+7+8+8+9+9+9+9+9+10+10+11 = 124

Then divide by the sample size n = 15

124/n = 124/15 = 8.267 approximately

Once you determine the mean, you can then determine the standard deviation which involves a bit more complicated steps. The rough outline is:

Once again, step 1 shows how critical the mean is to finding the standard deviation. The standard deviation measures how far each value is from the mean on average. In other words, it's like a measure of the average distance from the mean.

Use of spreadsheet software is strongly recommended to keep track of everything. You can also use a standard calculator to compute the standard deviation. There are also tons of free online calculators that can help out with that as well.

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If the data was skewed to one side, then the median is the better measure of center because it is not affected by outliers. The IQR (interquartile range) is used instead of the standard deviation for skewed distributions.

Answer:

Good luck mate with that

Step-by-step explanation:

Answer:

Step-by-step explanation:

You have to use the quadratic formula

x = -b +/- \(\sqrt{(b^{2} -4ac)/2a\)

and then you can simplify both answers so the first one would be -13/2 and the second would be -27/2

you usually have to reject an answer but since there is no equal sign in the question, you should be fine

Answer:

0

Step-by-step explanation:

2 - c(4) is -2. -2 + a(2) is 0.

Hope it helps!

Answer:

ok the owner is 2..a under score 4

Step-by-step explanation:

or 5,244

Answer:

c.60

Step-by-step explanation:

Step-by-step explanation:

3÷5%=3÷5÷100

3÷5×1÷ 100

3÷5=3÷500

therefore 3÷5%=3÷500

Answer:

A

Step-by-step explanation:

First, we can change the equation into y = mx + b form:

y - 3x = -14

y = 3x - 14

Now, we can just replace y with g(x):

g(x) = 3x - 14