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2 years ago

9

If 2 cubic feet of sand weigh 90 pounds, how much do 5 cubic feet of sand weigh? what is the actual answer

2 answers:

sammy [17]2 years ago

8 0

Answer:

225 pounds

Step-by-step explanation:

One cubic feet of sand is 45 pounds so 5 cubic feet of sand is 225 pounds.

nasty-shy [4]2 years ago

5 0

Answer:

175

Step-by-step explanation:

It is much easier if you use the unit rate, so we'll convert the first senta\ence into a ratio. 2 cubic feet:90lb. you need to get 1 cubic foot, so divide both sides my 2, 1 cubic foot:35 pounds. now, to get five cubic pounds(See where this is going?) you multiply both sides by 5. 5 cubic feet:175lb

(these idoits make you go back and forth in solving problems)

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Write the following in point-slope form.

Serga [27]

Answer:

$\huge\boxed{y-8 = 5(x+1)}$

Step-by-step explanation:

An equation in point-slope form will be written in the form $y - y_1 = m(x - x_1)$ , where a point on the graph is (x1, y1) and the slope is m.

For this equation, all we need to do is substitute the values already given to us, since we know everything needed to write an equation here. All we need is the slope, and one x/y value that's on the graph.

We know the slope is 5, and one point on the graph is (-1, 8), so we can substitute inside the equation.

$y - y_1 = m(x - x_1)$

$y - 8 = 5(x - (-1))$
$y-8=5(x+1)$

Therefore, our equation for this line in point-slope form is $y-8=5(x+1)$ .

Hope this helped!

7 0

2 years ago

What is the common ratio for the geometric sequence below, written as a fraction?

11111nata11111 [884]

Answer:

5/8

Step-by-step explanation:

Find the common ratio by dividing one of the numbers in the sequence by the previous one:

480/768

= 0.625

Convert this to a fraction:

0.625

= 5/8

So, the common ratio is 5/8

6 0

2 years ago

What is 12/30 simplified

brilliants [131]

2/5
.............................

4 0

3 years ago

The expression describe the number that is 8 to the left of -8 on the number line

mart [117]

Start at -8 move to the left 8 more times,. You get -16.

4 0

3 years ago

Derivative of<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%7B3x%7D%5E%7B2%7D%20-%202x%20-%201%20%7D%7B%20%7Bx%7D%5E%7B2

Anastaziya [24]

Answer:

$\displaystyle \frac{dy}{dx} = \frac{2x + 2}{x^3}$

Step-by-step explanation:

we would like to figure out the derivative of the following:

$\displaystyle \frac{ { 3x }^{2} - 2x - 1 }{ {x}^{2} }$

to do so, let,

$\displaystyle y = \frac{ { 3x }^{2} - 2x - 1 }{ {x}^{2} }$

By simplifying we acquire:

$\displaystyle y = 3 - \frac{2}{x} - \frac{1}{ {x}^{2} }$

use law of exponent which yields:

$\displaystyle y = 3 - 2 {x}^{ - 1} - { {x}^{ - 2} }$

take derivative in both sides:

$\displaystyle \frac{dy}{dx} = \frac{d}{dx} (3 - 2 {x}^{ - 1} - { {x}^{ - 2} } )$

use sum derivation rule which yields:

$\rm\displaystyle \frac{dy}{dx} = \frac{d}{dx} 3 - \frac{d}{dx} 2 {x}^{ - 1} - \frac{d}{dx} {x}^{ - 2}$

By constant derivation we acquire:

$\rm\displaystyle \frac{dy}{dx} = 0 - \frac{d}{dx} 2 {x}^{ - 1} - \frac{d}{dx} {x}^{ - 2}$

use exponent rule of derivation which yields:

$\rm\displaystyle \frac{dy}{dx} = 0 - ( - 2 {x}^{ - 1 -1} ) - ( - 2 {x}^{ - 2 - 1} )$

simplify exponent:

$\rm\displaystyle \frac{dy}{dx} = 0 - ( - 2 {x}^{ -2} ) - ( - 2 {x}^{ - 3} )$

two negatives make positive so,

$\displaystyle \frac{dy}{dx} = 2 {x}^{ -2} + 2 {x}^{ - 3}$

<h3>further simplification if needed:</h3>

by law of exponent we acquire:

$\displaystyle \frac{dy}{dx} = \frac{2 }{x^2}+ \frac{2}{x^3}$

simplify addition:

$\displaystyle \frac{dy}{dx} = \frac{2x + 2}{x^3}$

and we are done!

5 0

3 years ago