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Evgen [1.6K]
2 years ago
13

. Donny had a 10-foot board. He used the board to make two shelves. One shelf measured 4 feet 7 inches wide and the other shelf

measured 3 feet 2 inches wide. What is the length of the remaining piece of board?​
Mathematics
1 answer:
liberstina [14]2 years ago
3 0

Answer:

The length of the missing piece is 2 ft 3 inches

Step-by-step explanation:

Here in this question, we are interested in calculating the length of the remaining piece of the board given that we have the total length of the board and two other pieces.

Mathematically, the remaining piece length can be calculated by subtracting the lengths of the known pieces

That would be;

10 ft - 4 ft 7 inches - 3 ft 2 inches

In a foot there are 12 inches

Thus

10 ft = 10 * 12 = 120 inches

4 ft 7 inches = 4(12) + 7 = 55 inches

3 ft 2 inches = 3(12) + 2 = 36 + 2 = 38 inches

Thus the length of the remaining piece would now be;

120 -55 -38 = 27 inches

That is same as 24 + 3 inches

24 inches = 2 ft

So 27 inches = 2 ft 3 inches

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Answer:

The average change in rent can be determined by substituting the value of <em>X</em> as 5000 in the regression equation.

Step-by-step explanation:

A simple linear regression line is used to predict the value of the dependent variable from the independent variable.

The general form is:

Y=\alpha +\beta X

Dependent variables are those variables that are under study, i.e. they are being observed for any changes when the other variables in the model are changed.

The dependent variables are also known as response variables.

In this case the dependent variable is the average  change in rent for a 1-bedroom apartment.

Independent variables are the variables that are being altered to see a proportionate change in the dependent variable. In a regression model there can be one or more than one independent variables.

The independent variables are also known as the predictor variables.

In this case the independent variable is the average income in a city.

So, for an increase of $5,000 in incomes the average change in rent can be determined by substituting the value of <em>X</em> as 5000 in the regression equation.

6 0
2 years ago
If the federal reserve decreases the reserve rate from 2.5% to 1.25% how does this affect the amount of money that would result
kirza4 [7]
The correct answer for this question is this one: "D it increases by $1,800,000"
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3 0
2 years ago
Suppose 123 people voted for Danny. If 55 of the votes were from girls, what would be the ratio of votes from girls to votes fro
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5 0
2 years ago
Read 2 more answers
The graph shows the distance Kendrick walks in different lengths of time.
Vlad1618 [11]

Answer:

1) 5

2) 0.2

Step-by-step explanation:

The complete question is attached below.

The x-axis represents the time in hours and y-axis represents the distance in kilometers.

The first question asks how many kilometers, does Kendrick walk per hour. The straight line represents the distance traveled at various amounts of time.

The point marked on the graph is against time = 1 hour and Distance = 5 km. So this shows:

Kendrick walks 5 kilometers in 1 hour.

In next part, we have to find how much time Kendrick takes to walk 1 kilometer.

Since, we know that:

Kendrick walks 5 kilometers in time = 1 hour

Dividing both sides by 5, we can write:

Kendrick walks 1 kilometer in time = 1/5 hour = 0.2 hour

So, Kendrick takes 0.2 hours to walk 1 kilometer.

7 0
2 years ago
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Lenmana started studying how the number of branches on her tree grows over time. The number of branches increases by a factor of
Ad libitum [116K]

Answer:

N(t) = 48 * 11/6^{\frac{t}{3.5} }

Step-by-step explanation:

The formula for <u>exponential growth</u> is y = ab^x.

To write this equation, we know it has to start with 48 (which is the variable a). We need to add the rate of growth. This is 11/6 (which is variable b). But we also need to account for the "every 3.5 years" part, so divide the x as an exponent by 3.5.

N(t) = 48 * 11/6^(t/3.5)

This equation is easy to test, and it's a good idea to test it after you write it. For example, after 3.5 years we know that it should have 48*11/6 branches. Does our equation work? Yes.

7 0
1 year ago
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