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horrorfan [7]
2 years ago
6

There are 5 cookies in each bag, and there are 20 cookies in the jar. The table shows how the number of cookies, c, depends on t

he number of bags, b. Choose the equation which represents the rule.
b c
4 40
5 45
6 50
7 55

A) c = 5b + 5
B) c = 20 − 5b
C) c = 5b − 20
D) c = 5b + 20
Mathematics
2 answers:
Lorico [155]2 years ago
7 0

Answer:

D. c=5b+20

Step-by-step explanation:

Let the number of bags = b and total number of cookies = c.

We have that there are 5 cookies in a bag.

Also from the table, we see that,

The number of cookies are increasing by 5 per bag.

Then, number of cookies in 'b' bags = 5b

Also, there are 20 cookies in a jar.

Then, we have that,

<h3>The total number of cookies = Number of cookies in 'b' bags + Number of cookies in a jar</h3>

i.e. c=5b+20

So, option D represents the rule.

gogolik [260]2 years ago
6 0
The answer is d) c=5b+20
since each bag has 5 cookies and the jar has 20 cookies, you would multiply the number of bags by 5 and then add 20 for the jar
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2 years ago
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A has the coordinates (–4, 3) and B has the coordinates (4, 4). If DO,1/2(x, y) is a dilation of △ABC, what is true about the im
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A dilation is a transformation D_{o,k}(x,y), with center O and a scale factor of k that is not zero, that maps O to itself and any other point P to P'. The center O is a fixed point, P' is the image of P, points O, P and P' are on the same line.

In a dilation of D_{o, \frac{1}{2} }(x,y), the scale factor, \frac{1}{2} is mapping the original figure to the image in such a way that the distances from O to the vertices of the image are half the distances from O to the original figure. Also the size of the image is half the size of the original figure.

Therefore, <span>If D_{o, \frac{1}{2} }(x,y) is a dilation of △ABC, the truth about the image △A'B'C'</span> are:

<span>AB is parallel to A'B'.

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2 years ago
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A company makes wax candles in the shape of a solid sphere. Suppose each candle has a diameter of 15 cm. If
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We have been given that a company makes wax candles in the shape of a solid sphere. Each candle has a diameter of 15 cm. We are asked to find the number of candles that company can make from 70,650 cubic cm of wax.

To solve our given problem, we will divide total volume of wax by volume of one candle.

Volume of each candle will be equal to volume of sphere.

V=\frac{4}{3}\pi r^3, where r represents radius of sphere.

We know that radius is half the diameter, so radius of each candle will be \frac{15}{2}=7.5 cm.

\text{Volume of one candle}=\frac{4}{3}\cdot 3.14\cdot (7.5\text{ cm})^3

\text{Volume of one candle}=\frac{4}{3}\cdot 3.14\cdot 421.875\text{ cm}^3

\text{Volume of one candle}=1766.25\text{ cm}^3

Now we will divide 70,650 cubic cm of wax by volume of one candle.

\text{Number of candles}=\frac{70,650\text{ cm}^3}{1766.25\text{ cm}^3}

\text{Number of candles}=\frac{70,650}{1766.25}

\text{Number of candles}=40

Therefore, 40 candles can be made from 70,650 cubic cm of wax.

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2 years ago
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