<span>The volume of 100 pages of the book is 20 in</span>³<span>.
Explanation:
Since the book is rectangular, we use the formula for the volume of a rectangular prism: V = l*w*h.
Using the measurements of the book we have
V = 10*8*(3/4) = 80*(3/4) = 240/4 = 60 in</span>³<span>.
However, 100 out of 300 pages means we want 100/300 = 1/3 of the book: 60(1/3) = 60/3 = 20 in</span>³<span>.</span>
Let's start by solving the first equation.
a) -3 = 7 + 2t/3
To begin simplifying this equation, we should multiply both sides by 3 to get rid of the denominator on the right side of the equation.
-9 = 7 + 2t
Next, we should subtract 7 from both sides to cancel out the 7 on the right side.
-16 = 2t
Finally, we should divide both sides by 2.
t= -8
Now let's move on to the next equation.
b) 4(5x-2) = 7(2x+3)
Let's use the distributive property to get rid of the parentheses and their coefficients.
20x-8 = 14x + 21
Now, lets subtract 14x from both sides of the equation.
6x - 8 = 21
Next, let's add 8 to both sides of the equation.
6x = 29
And divide both sides by the coefficient of x, which is 6.
x = 29/6 or 4 5/6
Now for the last equation.
C) 2x - 6 = 20 - 2.5x
First, we should add 2.5x to both sides to cancel out the -2.5x on the right side of the equation.
4.5x - 6 = 20
Now, let's add 6 to both sides to get the variable term alone.
4.5x = 26
Finally, we should divide both sides by 4.5 to get x by itself.
x = 5 7/9
Hope this helps! :)
Answer:
width = 2.4
Step-by-step explanation:
so we know that the formula to get an area of a square/rectangle is A=lw, where <em>A </em>is the<em> </em><em>area</em><em>, </em><em>l</em><em> </em>is the<em> </em><em>length</em><em>, </em>and <em>w</em> is the <em>width</em><em>.</em>
we already have the area and the length, so all we need now is the width.
to find the width, simply plug in the area and the length into the formula, which will give you:
A = lw <em>-given formula</em>
12 = 5(w) <em>-plug in known variables</em>
12/5 = 5w/5 <em>-divide both sides by 5 to get x by itself</em>
2.4 = w <em>-turn the fraction into decimal if you prefer it that way</em>
<em>possible answers: </em><u><em>w = 2.4</em></u>, <em><u>w = 12/5</u></em>, or <u><em>w = 2 2/5</em></u>
Answer:
B. 17.8
Step-by-step explanation:
I calculated it logically
Answer:
that formula is known as the Pythagorean theorem