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Doss [256]
3 years ago
6

A box is to be constructed with a rectangular base and a height of h cm. The length, l, of the box is 10 cm, and the width, w, i

s twice the height. Determine the quadratic equation that best models the volume of the box.
Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
8 0
<span>The formula for the volume of a box is: Volume = L*W*H We know that the length is 10 cm. We know that the width is twice the height, so W = 2H. Then our volume equation is: Volume = 10*2H*H Volume = 20*H^2 Since H^2 is in the equation, this is a quadratic equation.</span>
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Write an equation (in slope-intercept form) of the line that passes through (0, 3) and (−5, 2.5).
Paladinen [302]

The equation of the line passing throught the points A(x_A,y_A) and B(x_B,y_B) has a form

\dfrac{x-x_A}{x_B-x_A}=\dfrac{y-y_A}{y_B-y_A}.

Now the equation of the line passing through points (0, 3) and (−5, 2.5) is

\dfrac{x-0}{-5-0}=\dfrac{y-3}{2.5-3}.

Simplify it:

\dfrac{x}{-5}=\dfrac{y-3}{-0.5},\\ \\0.5x=5(y-3),\\ \\5x=50y-150,\\ \\x=10y-30,\\ \\10y=x+30,\\ \\y=0.1x+3.

This equation is in slope-intercept form.

Answer: y=0.1x+3.

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3 years ago
I need help with inequalities
Hatshy [7]

Answer: I can help

Step-by-step explanation:

8 0
3 years ago
A cupcake factory has already used 19.2 lb of flour today. They are now making cupcakes that require 0.5 lb per batch.
Vlada [557]

Answer:

166.8 pounds.

Step-by-step explanation:

Let b be the number of batches baked and f be the total weight of flour.

We have been given that a cupcake factory has already used 22.8 pounds of flour today.

They are now making cupcakes that require 8 pounds per batch, so the weight of flour used in b batches will be 8b.

The equation representing the total weight of used flour is given as:

To find the total weight of flour used, when 18 batches are baked we will substitute b = 18 in our given equation.

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4 0
3 years ago
Which pair of expressions is equivalent using the Associative Property of Multiplication?
bixtya [17]
With the associative property, it does not matter which order you multiply numbers in. The answer to 4*5 is the same answer as 5*4. This works with more than two numbers as well. The associative property of addition also works this way.

In this question, it is important to watch where the parentheses are placed.


ANSWER: C) 4(2a * 5) = (2a * 5) * 4. Multiplying 4 to the left or the right of the set of parentheses will result in the same answer.

Hope this helps! :)
6 0
3 years ago
Read 2 more answers
What is the value of y
pashok25 [27]

y = 3

The opposite sides of a rectangle are equal thus

2y + 4 = 10

subtract 4 from both sides

2y = 10 - 4 = 6

divide both sides by 2

y = \frac{6}{2} = 3


6 0
3 years ago
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