As the angle between two vectors increases from 0° to 90°, their dot product ____

The organizers of a fair projected a 25 percent increase in attendance this year over that of last year, but attendance this yea

ch4aika [34]

Answer:

The correct option is C

Step-by-step explanation:

The organizers of a fair projected a 25 percent increase in attendance this year over that of last year

Let x = the attendance for last year

The projected attendance for this year would be last year's attendance + 25% of last year's attendance. This means

Projected attendance for this year

= x + 25/100 × x

= x + 0.25x = 1.25x

But attendance for this year actually decreased by 20 percent.

This means the actual attendance for this year would be

attendance for last year - 20% of attendance for last year. This means

Actual attendance for this year is

x - 20/100 × x

= x - 0.2x = 0.8x

percentage of the projected attendance that was the actual attendance would be

0.8x / 1.25x × 100 = 0.64 × 100

= 64%

The correct option is C

7 0

4 years ago

What is the absolute value<br> 3|x+6|-7=20

zzz [600]

<h3>Answer:</h3>

$\large\boxed{x=3\,\,\text{or}\,\,x=-15}$

<h3>Step-by-step explanation:</h3>

In this question, we're solving the equation with the absolute value.

In this case, we would be solving for x.

The equation we are solving is:

$3|x+6|-7=20$

Lets solve:

$3|x+6|-7=20\\\\\text{First, we add 7 to both sides}\\\\3|x+6|=27\\\\\text{We need to get the absolute value by itself, so}\\\text{we would divide both sides by 3}\\\\|x+6|=9\\\\\text{For absolute value, there could be two possiblities}\\\\x+6=9\,\,\text{or}\,\,x+6=-9\\\\\text{We would solve for both}\\\\x+6=9\\\\\text{Subtract 6 from both sides}\\\\x=3\\\\x+6=-9\\\\\text{Subtract both sides by 6}\\\\x=-15\\\\\boxed{x=3\,\,\text{or}\,\,x=-15}$