Answer:
Step-by-step explanation:
We want to reduce the radical. In order to do that, we want to find the factors of 96 that are square numbers
The factors of 96 are:

16 is a square number, so we can rewrite

Answer:
- 0.8
Step-by-step explanation:
The first thing we want to do here is simplify the expression -
( 2x + 5 ) - 2x, Distribute the "
" to elements within the parenthesis
=
2x +
5 - 2x, Focus on simplifying the expression "
2x +
5 "
=
- 2x
=
- 2x, Combine fractions
=
+ 3
=
x + 3
So we have our simplified expression "
x + 3, " with
being the coefficient of x. Our requirements are that this fraction should be expressed as a decimal, so we can simply divide the numerator by the denominator to figure that out,
- 4 / 5 = - 0.8,
Solution = - 0.8
check the picture below.
make sure your calculator is in Degree mode.
Answer:
1 hour after they leave
Step-by-step explanation:
The distance each travels is proportional to its speed. The given speeds are at right angles to each other in a 5:12 ratio. The Pythagorean theorem tells you the hypotenuse of such a right triangle will have length ...
√(5²+12²)=√169 = 13
That is the speeds are in the ratio 5:12:13, where 13 represents the relative separation speed. Actual speeds are then 50 mph : 120 mph : 130 mph.
So the distance between the boat and steamer will be increasing at 130 mph. The distance will be 130 miles after 1 hour.
Answer:
20 comic books
Step-by-step explanation:
Let us first <u>set up a variable</u>, x, for the number of books that Zoe has. If Jared has 12 more comics than Zoe, he would have x+12 books.
Given that Zoe and Jared have a total of 28 comic books, let us write an <u>equation</u> and solve for x:

Now that we have a <u>simplified</u> version of the equation, let us solve for x by <u>isolating the variable</u> on the left side:

We now know that x=8, and also that Jared has x+12 books. To find the number of comic books Jared has, let us <u>add</u> 12 to x:

Therefore, Jared has 20 comic books.
<em>I hope this helps! Please let me know if you have any further questions :)</em>