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2 years ago

Does the table below represent a proportional relationship? Show your work to prove

Mathematics

1 answer:

dolphi86 [110]2 years ago

7 0

Answer:

the table does represent a propor. rela. since y=12x

you can multiply the x values by 12 and that y value will be just that, and in this case, all of them are multiplied by 12.

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Ryan $65 for n books. Write an expression that can be used to find the cost of one book.

eimsori [14]

Answer:

x=65/n where x is 1 book and n the number of books

Step-by-step explanation:

If n is the number of books, lets say 1 book is "x", then

nx=65

x=65/n

for example

n=1 then x=65

n=2 then x=65/2

n=3 then x=65/3

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2 years ago

on day 1 a patient measures 5 feet and 11 inches tall. after 4 days of stretching the patient measures 5 feet and 11 inches tall

Vinvika [58]

Answer:

slope is zero

Step-by-step explanation:

zero slope is neither positive or negative; it indicates no change whatsoever

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2 years ago

If a/b < c/d with b > 0, d > 0, prove that a+c / b+d lies between the two fractions a/b and c/d .

Tems11 [23]

Divide through everything by b :

$\dfrac{a+c}{b+d} = \dfrac{\dfrac ab + \dfrac cb}{1 + \dfrac db}$

Since a/b < c/d, it follows that

$\dfrac{a+c}{b+d} < \dfrac{\dfrac cd+\dfrac cb}{1 + \dfrac db}$

Multiply through everything on the right side by b/d to get

$\dfrac{a+c}{b+d} < \dfrac{\dfrac{bc}{d^2}+\dfrac cd}{\dfrac bd+1} = \dfrac{\dfrac cd\left(\dfrac bd+1\right)}{\dfrac bd+1} = \dfrac cd$

and so (a + c)/(b + d) < c/d.

For the other side, you can do something similar and divide through everything by d :

$\dfrac{a+c}{b+d} = \dfrac{\dfrac ad + \dfrac cd}{\dfrac bd + 1}$

and a/b < c/d tells us that

$\dfrac{a+c}{b+d} > \dfrac{\dfrac ad + \dfrac ab}{\dfrac bd + 1}$

Then

$\dfrac{a+c}{b+d} > \dfrac{\dfrac ab + \dfrac{ad}{b^2}}{1 + \dfrac db} = \dfrac{\dfrac ab\left(1+\dfrac db\right)}{1 + \dfrac db} = \dfrac ab$

and so (a + c)/(b + d) > a/b.

Then together we get the desired inequality.

5 0

2 years ago

How would I solve; A bakery has 456 dozen cookies. How many individual cookies are there ?

Over [174]

Hi :")

Answer:

5472

Step-by-step explanation:

a dozen = 12 identical bodies

456 dozen cookies there are

12 x 456 = 5472

Good Luck ;)

#Turkey

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3 years ago

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Michael Jordan scores the following points over 8 games: 24, 17, 28, 19, 23, 20, 13, 19. What is the mean (average) number of po

olga nikolaevna [1]

Answer:

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2 years ago

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