Where do I place the dots at?

chang reads 9 3/4chapters in 4 1/2 hours. what is the unit rate in chapters per hour? write your answer as a fraction or a mixed

snow_lady [41]

Answer:

2 1/6 chapters per hour

Step-by-step explanation:

Find the unit rate, as follows:

9.75 chapters

----------------------- = 2.166666 ... chapters per hour, or

4.5 hours 2 1/6 chapters per hour

3 0

3 years ago

Dahlia is simplifying (3 t) Superscript 4 using these steps: (3 t) Superscript 4 = 3 t times 3 t times 3 t times 3 t = 3 times 3

mojhsa [17]

Answer:

it is b

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

What is -5x -10=10 ?

Alika [10]

Answer: " x = - 4 " .

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Step-by-step explanation:

____________

Method 1):

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Given:

" -5x − 10 = 10 " ; Solve for "x" ;

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Add "10" to Each Side of the equation:

____________

-5x − 10 + 10 = 10 + 10 ;

____________

to get:

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-5x = 20 ;

____________

Now, divide Each side of the equation by " -5 " ;

to isolate "x" on one side of the equation;

& to solve for "x" :

_____________

-5x / -5 = 20/ -5 ;

____________

to get:

" x = - 4 " .

____________

Method 2):

____________

Given:

" -5x − 10 = 10 " ; Solve for "x" ;

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Multiply each side of the equation by "-1" ; to get rid of the "negative value" of the "coefficient of "x" :

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-1 *{-5x − 10} = 10*{-1} " ;

____________

to get:

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[-1*-5x] − [-1*10] = -10 ;

to get:

5x − (-10) = -10 ;

to get:

5x + 10 = -10 ;

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Subtract "10" from Each Side of the equation:

____________

5x + 10 − 10 = -10 − 10 ;

to get:

5x = -20 ;

____________

Now, divide each side of the equation by "5" ;

to isolate "x" on one side of the equation;

and to solve for "x" ;

____________

5x / 5 = -20 / 5 ;

____________

to get:

" x = - 4 " .

___________

Method 3):

___________

Given:

" -5x − 10 = 10 " ; Solve for "x" ;

____________

Divide Each Side of the equation by: "-5" ;

____________

" $\frac{-5x-10}{-5} = \frac{10}{-5}$ " ;

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Simplify to:

" $\frac{-5x}{-5} - \frac{10}{-5} = \frac{10}{-5}$ " ;

Simplify to:

" x − (-2) = - 2 " ;

Simplify to:

" x + 2 = - 2 " ;

____________

Now, subtract "2" from Each Side of the equation;

to isolate "x" on one side of the equation;

and to solve for "x":

____________

" x + 2 − 2 = - 2 − 2 " ;

____________

to get:

" x = - 4 " .

___________

Hope these explanations are helpful to you!

Wishing you the best!

____________

4 0

3 years ago

Find side lengths C and H

Nuetrik [128]

Answer:

$\displaystyle c=\frac{2\sqrt{3}}{3}\\\\\displaystyle h=7\sqrt{2}\\$

Step-by-step explanation:

<u>Right Triangles</u>

A right triangle can be identified by the fact it has an internal angle of 90°. In a right triangle, the trigonometric ratios stand.

Let's consider the triangle to the left. We need to calculate side c, one of the legs of the triangle. We can use the angle adjacent to it (60°) or the angle opposite to it (30°) with the appropriate trigonometric ratio.

We'll use the adjacent angle, and

$\displaystyle tan60^o=\frac{2}{c}$

Solving for c

$\displaystyle c=\frac{2}{tan60^o}=\frac{2}{\sqrt{3}}$

Rationalizing

$\displaystyle c=\frac{2}{\sqrt{3}}\cdot \frac{\sqrt{3}}{\sqrt{3}}=\frac{2\sqrt{3}}{3}$

Now for the triangle to the right. The side h is the hypotenuse. Again, any of the two angles can be used (though they are equal, for it's an isosceles triangle). For any of them it is true that

$\displaystyle sin45^o=\frac{7}{h}$