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2 years ago

6

dan ordered some books online and spent a total of $75. each book cost $6 and he paid a total of $3 for shipping. how many books

did he buy. (I think b=12 im probably wrong but thats why I'm here)

1 answer:

Lubov Fominskaja [6]2 years ago

5 0

Answer:

He bought 12 books.

Step-by-step explanation:

6 goes into 75 12 times. The remaining 3 was for shipping, so you were correct!

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mash [69]

Thank you sa points lab you

5 0

3 years ago

HELPPPPPPP ASAPPPPP PLEASEEE

Kobotan [32]

<h3>Answer: </h3><h3>See the attached image below for the table</h3>

In column 1 we have the x values 0, 4, 8, 12

In column 2, we have the y values 1, 2, 3, 4

==================================================

Explanation:

We can start with any x value we want. I find that 0 is easiest to work with, so why not start at x = 0. For the sake of not repeating, I'll use y = 1 as the start value for y.

The first row of the table is x = 0 and y = 1.

A slope of 1/4 means rise/run = 1/4. So rise = 1 and run = 4.

A rise of 1 indicates y goes up by 1. A run of 4 means x increases by 4.

So put together, slope = 1/4 means each time x goes up by 4, y goes up by 1.

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If we started at x = 0, then going up by 4 leads to x = 4. If y starts at y = 1, then going up by 1 leads to y = 2.

The second row of the table is x = 4 and y = 2

We'll repeat the pattern of "add 4 to x, add 1 to y" getting the third row having x = 8 and y = 3

We can repeat as many times as we want. Doing another "up 1, over to the right 4" movement lands us on (x,y) = (12, 4)

The completed table is shown below in the attached image.

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If you were to use the slope formula with any two rows of the table, then you should get m = 1/4

Let's do the first two rows

m = (y2-y1)/(x2-x1)

m = (2-1)/(4-0)

m = 1/4

I'll let you check the other pairs of rows.

3 0

3 years ago

Will give brainliestt

Natasha_Volkova [10]

Answer: (-5, -3)

Step-by-step explanation:

(-10, -6)

-10/2 = -5

-6/2 = -3

7 0

3 years ago

1. The triangles above are similar. What is the ratio (larger to smaller) of the perimeters? (1 point)

eimsori [14]

Answer:

Ratio = 5/3

The ratio (larger to smaller) of the perimeters is 5/3

Step-by-step explanation:

Attached is an image of the two triangles.

Since both triangles are similar, the ratio of their perimeter is equal to the ratio of each similar sides.

Ratio = P1/P2 = S1/S2

Similar side for triangle 1 S1 = 15ft

Similar side for triangle 2 S2 = 9ft

Substituting the values;

Ratio = 15ft/9ft = 5/3

Ratio = 5/3

The ratio (larger to smaller) of the perimeters is 5/3

7 0

3 years ago

Please solve, answer choices included.

qaws [65]

4. To solve this problem, we divide the two expressions step by step:

$\frac{x+2}{x-1}* \frac{x^{2}+4x-5 }{x+4}$
Here we have inverted the second term since division is just multiplying the inverse of the term.

$\frac{x+2}{x-1}* \frac{(x+5)(x-1)}{x+4}$
In this step we factor out the quadratic equation.

$\frac{x+2}{1}* \frac{(x+5)}{x+4}$
Then, we cancel out the like term which is x-1.

We then solve for the final combined expression:
$\frac{(x+2)(x+5)}{(x+4)}$

For the restrictions, we just need to prevent the denominators of the two original terms to reach zero since this would make the expression undefined:

$x-1\neq0$
$x+5\neq0$
$x+4\neq0$

Therefore, x should not be equal to 1, -5, or -4.

Comparing these to the choices, we can tell the correct answer.

ANSWER: $\frac{(x+2)(x+5)}{(x+4)}$ ; $x\neq1,-4,-5$

5. To get the ratio of the volume of the candle to its surface area, we simply divide the two terms with the volume on the numerator and the surface area on the denominator:

$\frac{ \frac{1}{3} \pi r^{2}h }{ \pi r^{2}+ \pi r \sqrt{ r^{2} +h^{2} } }$

We can simplify this expression by factoring out the denominator and cancelling like terms.

$\frac{ \frac{1}{3} \pi r^{2}h }{ \pi r(r+ \sqrt{ r^{2} +h^{2} } )}$
$\frac{ rh }{ 3(r+ \sqrt{ r^{2} +h^{2} } )}$
$\frac{ rh }{ 3r+ 3\sqrt{ r^{2} +h^{2} } }$

We then rationalize the denominator:

$\frac{rh}{3r+3 \sqrt{ r^{2} + h^{2} }} * \frac{3r-3 \sqrt{ r^{2} + h^{2} }}{3r-3 \sqrt{ r^{2} + h^{2} }}$
$\frac{rh(3r-3 \sqrt{ r^{2} + h^{2} })}{(3r)^{2}-(3 \sqrt{ r^{2} + h^{2} })^{2}}}=\frac{3 r^{2}h -3rh \sqrt{ r^{2} + h^{2} }}{9r^{2} -9 (r^{2} + h^{2} )}=\frac{3rh(r -\sqrt{ r^{2} + h^{2} })}{9[r^{2} -(r^{2} + h^{2} )]}=\frac{rh(r -\sqrt{ r^{2} + h^{2} })}{3[r^{2} -(r^{2} + h^{2} )]}$

Since the height is equal to the length of the radius, we can replace h with r and further simplify the expression:

$\frac{r*r(r -\sqrt{ r^{2} + r^{2} })}{3[r^{2} -(r^{2} + r^{2} )]}=\frac{ r^{2} (r -\sqrt{2 r^{2} })}{3[r^{2} -(2r^{2} )]}=\frac{ r^{2} (r -r\sqrt{2 })}{-3r^{2} }=\frac{r -r\sqrt{2 }}{-3 }=\frac{r(1 -\sqrt{2 })}{-3 }$

By examining the choices, we can see one option similar to the answer.

ANSWER: $\frac{r(1 -\sqrt{2 })}{-3 }$

8 0

4 years ago