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A bag of chips weighs 8 ounces. How many pounds do 20 bags of chips weigh?
How many bags would you need to equal a ton?

Hi!

The words "y varies inversely as x" automatically means we can write:

[tex]y=\cfrac{k}{x}[/tex]

Note that this is a fraction because it said "inversely". If it had said "jointly" or "directly", it would have been [tex]y=kx[/tex].

Now, we plug in the given values to solve for k.

We are given:

[tex]y = 0.4[/tex]

[tex]x = 0.8[/tex]

Plug those in and we have:

[tex]0.4=\cfrac{k}{0.8}[/tex]

Multiply both sides by [tex]0.8[/tex]:

[tex]0.32=k[/tex]

Now, with the value of [tex]k[/tex] solved for, we put it back into the original equation, and that's your answer:

[tex]y=\cfrac{0.32}{x}[/tex]

For a similar problem, see:

https://brainly.com/question/2315806

Answer:

Describe a set of transformations that would map triangle FGH onto F'G'H

Step-by-step explanation:

They do through following ways

From the definition, we have

[tex]\displaystyle f'(10) = \lim_{x\to0} \frac{f(x) - f(10)}{x - 10}[/tex]

With [tex]f(x)=\sqrt{x-1}[/tex], we get [tex]f(10)=\sqrt{10-1}=\sqrt9=3[/tex]. So the limit we want to compute is

[tex]\displaystyle f'(10) = \lim_{x\to0} \frac{\sqrt{x-1} - 3}{x - 10}[/tex]

Rationalize the numerator by multiplying by its conjugate:

[tex]\displaystyle \frac{\sqrt{x-1} - 3}{x - 10} \times \frac{\sqrt{x-1}+3}{\sqrt{x-1}+3} = \frac{\left(\sqrt{x-1}\right)^2-3^2}{(x-10)\left(\sqrt{x-1}+3\right)} = \frac{x-10}{(x-10)\left(\sqrt{x-1}+3\right)}[/tex]

x is approaching 10, which is to say x ≠ 10, so we can cancel the factors of x - 10 and remove the discontinuity.

Then we're left with

[tex]\displaystyle f'(10) = \lim_{x\to0} \frac1{\sqrt{x-1}+3} = \frac1{\sqrt{10-1}+3} = \frac1{\sqrt9+3} = \frac1{3+3} = \boxed{\frac16}[/tex]

evaluated by direct substitution, which we can do since the limand is continuous.

Answer:

$ 12 926.56

Step-by-step explanation:

If compounded annually:

  FV = 6000 ( 1 + .0525)^15 =

Answer:

3rd option

Step-by-step explanation:

cos x = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{15}{17}[/tex]

Answer:

x = 6

Step-by-step explanation:

Step 1. Rewrite in the form of y=mx+b

Step 2. Set y = 0 and solve for x

y - 6 = x - 12

y = x - 12 + 6

y = x - 6

0 = x - 6

6 = x

Answer:

y = x - 6

x = y + 6

Step-by-step explanation:

For y:

y - 6 = x - 12

y = x - 12 + 6

y = x - 6

For x:

y - 6 = x - 12

y - 6 + 12 = x

y + 6 = x

_______

Hope it helps ⚜

[tex] \alpha + \beta = 90[/tex]

[tex] \beta + 4 \alpha = 180[/tex]

[tex] - \alpha - \beta = - 90[/tex]

[tex] \beta + 4 \alpha = 180[/tex]

[tex]3 \alpha = 90[/tex]

[tex] \alpha = 30[/tex]

[tex] \beta = 90 - \alpha = 90 - 30 = 60[/tex]

[tex]( \alpha = 30) < = > ( \beta = 60)[/tex]

Answer:

95.45%

Step-by-step explanation:

Honestly I looked it up I hope it helps though and best of luck! : )

Answer:

47.5% I just took it

Answer:

164 ft

Step-by-step explanation:

The TIME of maximum height   (this is a dome shaped parabola)

        will be given by t = -b/2a = - 64 / (2)(-16) = 2 sec

Putting in t = 2   into the equation will give the max height

-16 (2^2) + 64(2) + 100 = max = 164 ft

[tex]\sqrt[3]{4 a^4 b^5} = \sqrt[3]{4 \times 4^4 \times 2^5} = \sqrt[3]{(4\times 2)^5} = \sqrt[3]{(2^2\times2)^5} = \sqrt[3]{(2^3)^5} = \sqrt[3]{2^{15}} = \sqrt[3]{(2^5)^3} = 2^5 = 32[/tex]

[tex]\dfrac{a-c}{(b+c)^2} = \dfrac{4-(-5)}{(2+(-5))^2} = \dfrac{4+5}{(2-5)^2} = \dfrac9{(-3)^2} = \dfrac99 = 1[/tex]

Then the expression evaluates to 32 + 1 = 33.

The value of the expression

[tex]$\sqrt[3]{4a^4b^5} + \dfrac{a - c}{(b+c)^2}$[/tex]

is 33 when $a = 4$, $b = 2$, and $c = -5$.

Let's substitute the given values into the expression and calculate the result:

Given:

$a = 4$

$b = 2$

$c = -5$

Substituting the values:

[tex]$\sqrt[3]{4a^4b^5} + \dfrac{a - c}{(b+c)^2} = \sqrt[3]{4(4)^4(2)^5} + \dfrac{4 - (-5)}{(2+(-5))^2}$[/tex]

Calculating the values within the cube root:

[tex]$\sqrt[3]{4(4)^4(2)^5} = \sqrt[3]{4 \cdot 256 \cdot 32} = \sqrt[3]{32768} = 32$[/tex]

Calculating the values within the fraction:

[tex]$\dfrac{4 - (-5)}{(2+(-5))^2} = \dfrac{4 + 5}{(-3)^2} = \dfrac{9}{9} = 1$[/tex]

Now we can substitute the calculated values back into the expression:

[tex]$\sqrt[3]{4a^4b^5} + \dfrac{a - c}{(b+c)^2} = 32 + 1 = 33$[/tex]

Therefore, the value of

[tex]\sqrt[3]{4a^4b^5} + \frac{a - c}{(b+c)^2} \: is \: 33 \: when \: a = 4, \: b = 2, and \: c = -5[/tex]

learn more about cube root: https://brainly.com/question/24486461

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Answer:

17. 125 ft^2

18. 9.4 in^2

Step-by-step explanation:

Both 17 and 18 are similar. You split that it into pieces.

Area of Rectangle/Square: Area = Length * Width

Area of a Triangle: Area = 1/2 * Base * Height.

17.

Area Rectangle:

Area = Length * Width

Area = 10 ft * 6 ft = 60 ft^2

Area Triangle:

Area = 1/2 * Base * Height

Area = 1/2 * 10 ft * 13 ft = 65 ft^2

Total Area = 60 ft^2 + 65 ft^2 = 125 ft^2

18.

Area Rectangle:

Area = Length * Width

Area = 2.7 in * 2 in = 5.4 in^2

Area Triangle:

Area = 1/2 * Base * Height

Area = 1/2 * 2 in * 4.4 ft = 4.4 ft^2

Total Area = 5.4 ft^2 + 4.4 ft^2 = 9.4 ft^2

For this case we have the following expression:

[tex]5(y-6)[/tex]

We observe that the number 5 is a common factor of both terms within the parenthesis.

To prove it, we can apply the distributive property.

We have then:

[tex]5y-30[/tex]

We observe then that 5 is a common factor of the given expression.

Answer:

An algebraic expression that is a product with a factor of 5 is:

A) 5 (y-6)

Answer:

20

Step-by-step explanation:

Answer:

y=5

x=31

Step-by-step explanation:

5y=25

y=5

25+25+10x=360

50+10x=360

x=31

Answer:

11/3

Step-by-step explanation:

convert the 7 1/3 to 22/3 then convert the 3 2/3 to 11/3 and subtract.

Answer:

A

Hope This Helps! :)

Answer:

B. 4 inches

Step-by-step explanation:

(24)(1) / 6 = 4

Answer:

41.65

Step-by-step explanation:

First do 5.5*20.7 because of PEMDAS or GERMDAS which is basically saying the order of how to solve expressions/equations

5.5*20.7=113.85

Then subtract 113.85 from 155.5

155.5-113.85=41.65

Answer:

B) r = -0.35

Step-by-step explanation:

Correct me if I'm wrong

Answer:

The answer is B

Step-by-step explanation:

Btw if its wrong im sorry

Answer:

B. 486,732

__________________________________________________________

To solve digit problems, multiply the value of the digit example: tens place, hundreds place by 10 to get to the next digit, and then you will have your answer.

[tex]600 * 10 = 6,000~-- > ~thousands~place[/tex]

Therefore, the answer would be B. because it has a 6 in the thousands place.

__________________________________________________________

Ask in comments.

486,732 is the number in which the  digit 6 have a value that is 10 times as great as the value of the digit 6 in 283,691. Option B is correct.

To find the number in which the digit 6 has a value that is 10 times as great as the value of the digit 6 in 283,691, we need to compare the place values of the digit 6 in both numbers.

In the number 283,691:

The 6 is in the hundreds place.

Now let us multiply this place with 10.

100×10 = 1000.

Find the number in which the digit is in 1000 place.

In the number 486732, the 6 is in 1000 place.

Hence, Option B is correct. 486,732 is the number in which the  digit 6 have a value that is 10 times as great as the value of the digit 6 in 283,691.

To learn more on Number system click:

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Answer:

Second and third one

Step-by-step explanation:

2 nd and third one ( are the same equation)

Answer:

A complementary angle is 63 degrees and supplementary angle is 153 degrees.

Step-by-step explanation:

Complementary angle:

A complementary angle adds up to 90 degrees, so you have to subtract 27 from 90.  90-27=63

Supplementary angle:

A supplementary angle adds up to 180 degrees, so you have to subtract 27 from 180. 180-27=153

Answer:

bc it dose

Step-by-step explanation:

Answer:

D=3h+5

Step-by-step explanation:

Given: The rate of increasing speed  = 3 miles per hour

The distance she traveled before stopping = 5 miles

Let h represents the number of additional hours for hiking.

Then the equation that models the total distance 'D' Sarah travels after hiking for an additional h hours is given by :-

D=3h+5

Answer:

D = 3h + 5

Step-by-step explanation:

Answer:

5.

Step-by-step explanation:

Have you heard of something called reading?

Answer:

0.01296  to 5 decimal places.

Step-by-step explanation:

P(3) =  10! / 3! 7! * (0.68)^3 (1 - 0.68)^(10-3)

= 120 * (0.68)^3 * (0.32)^7

= 120 * 0.314432 * 0.00034359738

= 0.01296456

Answer:

Step-by-step explanation:

from Cyrus' to Jane's ,  the distance is  D= [tex]\sqrt{8^{2} +21^{2} }[/tex] = 22.47 mi

from Adriana's to Madisyn's , the dist. is D =[tex]\sqrt{21^{2} +14^{2} }[/tex] = 25.24 mi