MATHEMATICS MIDDLE SCHOOL

You are fencing in an area to make a garden. You only have 150 feet of fence. You want the length of the garden to be at least 40 feet. You want the width to be at least 5 feet. What is the graph showing the all of the possible dimensions your garden could have?

Answers

Answer 1

Answer:

Answer:

1200

Step-by-step explanation:

MULTIPLY AND DIVIDE

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Which of the following is a statistical question?A. How many hours do students in Mr. Brown's class typically spend on homework? B. What is Andy’s shoe size? C. What is the room temperature of Charlie's house? D. How much did Ashley pay for her smart phone?
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Franklin's faucet was leaking, so he put a bucket underneath to catch the water. After a while, Franklin started keeping track of how much water was in the bucket. His data is in the table below. 1. Write the equation for the relationship.
2. Predict how much water will be in the bucket after 14 hours if Franklin doesn't stop the leak.

Answers

Final answer:

The relationship between the number of hours and the amount of water in the bucket can be represented by the equation y = 8x. After substituting 14 for 'x' in the equation, we find that there will be 112 ounces of water in the bucket after 14 hours.

Explanation:

The relationship between the number of hours and the amount of water in the bucket can be represented by a linear equation. Let's call the number of hours 'x' and the amount of water in the bucket 'y'. We can use the data in the table to find the equation.

From the data, we can see that the amount of water in the bucket increases by 8 ounces every hour. So, the equation for the relationship is y = 8x.

To predict how much water will be in the bucket after 14 hours, we can substitute 14 for 'x' in the equation and solve for 'y'. Substituting the values, we get y = 8 × 14 = 112 ounces. Therefore, if Franklin doesn't stop the leak, there will be 112 ounces of water in the bucket after 14 hours.

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Final answer:

The question pertains to a mathematical concept of linear equations and prediction. Based on the rate of water leakage given in a data table, a linear equation can be formed: y = r*x, where r is rate and x is time. Substituting 14 for x would allow for a prediction of water collected after 14 hours.

Explanation:

The subject of the question is Mathematics, particularly dealing with linear equations and predictions which is generally taught in Middle School. The problem provided seems to be an example of a linear relationship, meaning the amount of water in the bucket increases at a constant rate over time. However, without access to the data table mentioned, we can't directly determine the specific relationship or make a precise prediction.

Assuming that you have data in the form of ‘hours passed’ and ‘quantity of water in the bucket’ we can use this information to create a linear equation. Let’s say, for instance, the constant rate is r gallons per hour. This would make the equation y = r * x, where y is the total amount of water and x is the time passed.

To predict how much water will be in the bucket after 14 hours, simply substitute 14 into the equation for x. Again, assuming a rate of r, this would be y = r * 14. Without the specific values from the table, this is as accurate a prediction as possible.

Learn more about Linear Equations here:

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Whats 40% of 36 please can i get the right answer please and thank you :) :0

Answers

We have an equation: ?/36= 40/100

Cross multiply:
100*?= 36*40
⇒ ?= 36*40/100= 14.4

40% of 36 is 14.4~

I think it is 14.4
This is because you must first convert 40% into a decimal which is 0.4, then multiply that by 36.

Luke was playing checkers with a friend. The ratio of games Luke won was 9:8 if Luke won 18 games, how many games did his friend win?

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You basically simplify for this one,18 / ? = 9

18/2=9

So in this case, 8*2 is 16! Hope this helps!

Name an event that is measured in days

Answers

The Chinese New Year?

a year maybe or Chinese year

The function f(x)= -(x+5)(x+1) is down. What is the range of the function?

Answers

Answer:

(-∞, 4)

Step-by-step explanation:

"The function f(x)= -(x+5)(x+1) is down" should be "The function f(x)= -(x+5)(x+1) has a parabolic graph that opens down."

Expanding f(x)= -(x+5)(x+1), we get f(x) = -[x^2 + 6x + 5] = -x^2 - 6x - 5.

Here the coefficients are a = -1, b = -6 and c = -5. Thus, the axis of symmetry is

-(-6)

x = ------------ = -3.

2(-1)

The maximum value of the function occurs when x = -3.

We must also find the actual max value.

It is f(-3) = -(-3)^2 - 6(-3) - 5, or 4.

The max value is 4. Thus, the range of this function is (-∞, 4)

Find the points where the line y = x - 1 intersects the circle x2 + y2 = 13

Answers

Answer:

$\large \boxed{(-2,-3) \text{ and } (3, 2)}$

Step-by-step explanation:

1. Solve the equations for x

$\begin{array}{lrcll}(1) & y & = & x - 1 & \n(2) & x^(2) + y^(2) &= &13& \n& x^(2) + (x - 1)^(2) &= & 13& \text{Substituted (1) into (2)}\n& x^(2) + x^(2) -2x +1 & = & 13 & \text{Squared (x - 1)} \n&2x^(2) -2x +1 & = & 13 & \text{Combined like terms} \n\end{array}\n$

$\begin{array}{lrcll}&2x^(2) -2x - 12 & = & 0 & \text{Subtracted 13 from each side}\n&x^(2) - x - 6 & = & 0 & \text{Divided each side by 2}\n& (x - 3)(x + 2) & = & 0 & \text{Factored the left-hand side} \n& x - 3 = 0 & \text{or} & x + 2 = 0 & \text{Applied zero product rule} \n& \mathbf{x = 3} & \text{or} & \mathbf{x = -2} & \text{Solved each equation separately} \n\end{array}$