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timurjin [86]
4 years ago
15

Charlotte reads 4 books each week. Let b be the number of books she reads each week, and let ww be the number of weeks that she

reads. Determine which variable is dependent and which is independent. Then, write an equation to model the situation, and make a table that shows the number of books read in under 6 weeks.
Mathematics
1 answer:
alisha [4.7K]4 years ago
8 0

Answer and Step-by-step explanation:

Charlotte reads 4 books each week

b = number of books she reads each week

w = number of weeks that she reads

The number of books depends on the number of weeks, so

independent variable: w

dependent variable: b

b = 4w

╔═══╦═════════╦════╗

║ w     ║ b = 4w          ║ b        ║

╠═══╬═════════╬════╣

║ 0     ║ b = 4*0          ║ 0       ║

╠═══╬═════════╬════╣

║ 1     ║ b = 4*1          ║ 4       ║

╠═══╬═════════╬════╣

║ 2     ║ b = 4*2          ║ 8       ║

╠═══╬═════════╬════╣

║ 3     ║ b = 4*3          ║ 12     ║

╠═══╬═════════╬════╣

║ 4     ║ b = 4*4          ║ 16     ║

╠═══╬═════════╬════╣

║ 5     ║ b = 4*5          ║ 20     ║

╚═══╩═════════╩════╝

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Answer:

C = 1.5W

Step-by-step explanation:

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4 years ago
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Polygon pqrs is a scaled copy of abcd. name the angel in the scaled copy that corresponds to angle abc.
Olin [163]

The angel in the scaled copy that corresponds to angle abc in the polygon pqrs which is a scaled copy of abcd will be angle pqr.

We have,

As we can see the attached figure,

Scale factor : Scale Factor is the ratio of size of new image formed to the size of old image and the image obtained is the scaled copy.

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There are two Polygons abcd and pqrs,

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So,

That means both polygons are similar,

so,

Their corresponding angles will be same,

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We can say that angle corresponds to angle abc is angle pqr.

Hence, we can say that the angel in the scaled copy that corresponds to angle abc in the polygon pqrs which is a scaled copy of abcd will be angle pqr.

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2 years ago
the measure of angle X WB is x + 3 degrees and the measure of angle B Wy is 3x - 91 degrees solve f or X
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Go on google
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4 years ago
A piece of cardboard is 1 meter by 1/21/2 meter. A square is to be cut from each corner and the sides folded up to make an open-
12345 [234]

Answer:

The maximum dimensions of the box:

Length of the box  = 0.788676 m

Breadth of the box  = 0.288676 m

Step-by-step explanation:

Original piece of cardboard is a square with sides of length s.

Length of the card board = l = 1 m

Breadth of cardboard = b = 1/2 m = 0.5 m

Squares with sides of length x are cut out of each corner of a rectangular cardboard to form a box.

Now, length of the box = L = 1 - 2x

And breadth of the box = B = 0.5 - 2x

Height of the box ,H = x

Volume of the box ,V= L × B × H

\frac{dV}{dx}=\frac{(1 -2x)(0.5-2x)x}{dx}

\frac{dV}{dx}=\frac{d(0.5x-3x^2+4x^3)}{dx}

\frac{dV}{dx}=0.5-6x+12x^2

\frac{dV}{dx}=O

x = 0.394338  , 0.105662

\frac{d^2V}{(dx)^2}=-6+24x

When , x=0.105662 , \frac{d^2V}{(dx)^2} (maxima)

The maximum dimensions of the box:

Length of the box = L = 1 - 2x = 1 - 2(0.105662) m = 0.788676 m

Breadth of the box = B = 0.5 - 2x = 0.5 - 2(0.105662) m = 0.288676 m

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3 years ago
Select all the options that have the same value as 3 1/2% of 20?
r-ruslan [8.4K]

Solution:

As, we have to find , 3 \frac{1}{2} of 20=\frac{7}{2}% of 20

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If we have to Percent of a certain number it means , divide that number by 100 , for example x% means \frac{x}{100}.

And if i am writing , x% of y it means ,   \frac{xy}{100}.



8 0
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