Answer:
rounded to the nearest it would be 14%
Step-by-step explanation:
Answer:
Option D) B and C
Step-by-step explanation:
we know that
To find out the percentage of high school teachers that have a second job, divide the number of teachers that have a second job by the total number of teachers
<em>Survey A</em>
Convert to percentage
<em>Survey B</em>
Convert to percentage
<em>Survey C</em>
Convert to percentage
<em>Survey D</em>
Convert to percentage
Compare the percentages
Surveys B and C have the same percentage
therefore
Surveys B and C show proportional results, because the ratio of the number of teachers that have a second job by the total number of teachers is equal (this number is the constant of proportionality k in a proportional relationship between two variables)
First, let's put the second equation, <span>x-2.23y+10.34=0, in terms of y:
x - 2.23y +10.34 = 0
2.23y = x + 10.34
y = .45x + 4.64
Now we can substitute the right side of this equation for y in the first equation
</span><span>y=2x^2+8x
.45x + 4.64 = 2x^2 + 8x
Turn it into a quadratic by getting 0 on one side:
2x^2 + 8x - .45x - 4.64 = 0
2x^2 + 7.55x - 4.64 = 0 Divide both sides by 2
x^2 + 3.76x - 2.32 = 0
x =( -b +/- </span>√(b² - 4ac) ) / 2a
x =( -3.76 +/- √(14.14 + 9.28)) ÷ 2
x = .54 or -4.31
Plug the x values into y = .45x + 4.64
y = .45 (.54) + 4.64
y = 4.88 when x= .54
y = .45 (-4.31) + 4.64
y = 2.70 when x= -4.31
Solution set:
{ (0.54, 4.88) , (-4.31, 2.70) }
Answer:
$48
Step-by-step explanation:
Let's find 60% of $80:
$80 × 0.60 = $48
Now subtract:
$80 - $48 = $32
$32 is the discounted price and
$48 is the amount that was taken off
$48.00 Will be the answer.
