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allochka39001 [22]

3 years ago

13

Arturo has a log that is 4 yards long. he cuts the log into pieces that are 1/3 yard long . how many pieces will Arturo have?

1 answer:

gizmo_the_mogwai [7]3 years ago

8 0

Arturo will have 12 pieces. For this problem, you need to multiply by the reciprocal. To do that, you flip 1/3 over to 3/1 and multiply that by 4. 3/1 times 4 equals 12. Remember that 4 as a fraction is 4 over 1. So you would multiply 4 by the numerator (3) because 4 is the numerator in 4/1.

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9 = 6y + 33
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I need algebra help.....

Lubov Fominskaja [6]

Answer:

$y=4(3)^x$

Step-by-step explanation:

From the table given in the question,

x y Difference Ratio

1 12 - -

2 36 36-12 = 24 $\frac{36}{12}=3$

3 108 108-36 = 72 $\frac{108}{36}=3$

4 324 324-108 = 216 $\frac{324}{108}=3$

5 972 972-324 = 648 $\frac{648}{216}=3$

There is a common ratio of 3 in each successive term.

Therefore, data given in the table will represent an exponential function.

$y=a(b)^x$

For a point $(1, 12),$

$12=a(b)^1$

$ab=12$ ------(1)

For another point of the table $(2,36)$ ,

$36=a(b)^2$

$ab^2=36$ --------(2)

Equation (2) divided by equation (1)

$\frac{ab^2}{ab}=\frac{36}{12}$

$b=3$

From equation (1),

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$a=4$

Therefore, exponential function will be,

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Congruent is the corrrect answer ya

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