Ratio 1:3 can be written as 1/3
sale price / original price : 1/3 = x / 81
this is a proportion, so we cross multiply
(3)(x) = (1)(81)
3x = 81
x = 81/3
x = 27 <== sale price
and notice that 1/3 = 27/81...these are equivalent fractions because that is what proportions are, equivalent fractions
Answer:
It is a growth rate of 86%.
Step-by-step explanation:
Hi, to answer this question we have to analyze the exponential function:
A = P (1 + r) t
Where:
p = original population
r = change rate (decimal form)
t= time (x)
A = population after t years
Replacing with the values given:
y = 270(1.86)^x
Since the term 1.86 is equal to 1+ 0.86, it is a exponential growth because the rate is positive. (r =0.86)
In percentage form: 0.86 x 100 =86%
Feel free to ask for more if needed or if you did not understand something.
Well, First I would write it in the expanded form which is 16x^2-56x+49=44 then i would reorder my terms to 49+-56x+16^2=4 then solve for x so it would be 49+ -44 + -56 +16^2=44+ -44 then combine the like terms 49+ -44=5
5+-56x+16x^2= 44+-44 would turn into
44+ -44 =0
5+ -56+16^2=0
i would do the squaring and divide all the terms by 16 the coefficient of the squared term:
divide each side by 16 so
0.3125+ -3.5x+ x^2=0
move the constant to the right
add -0.3125 to each side 0.3125 + -3.5x + -0.3125 + x2 = 0 + -0.3125 then reorder
<span>0.3125 + -0.3125 + -3.5x + x2 = 0 + -0.3125
</span><span>0.3125 + -0.3125 + -3.5x + x2 = 0 + -0.3125
then
</span><span>x + -1.75 = 1.658312395
Simplifying
x + -1.75 = 1.658312395
Reorder the terms:
-1.75 + x = 1.658312395
Solving
-1.75 + x = 1.658312395
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '1.75' to each side of the equation.
-1.75 + 1.75 + x = 1.658312395 + 1.75
Combine like terms: -1.75 + 1.75 = 0.00
0.00 + x = 1.658312395 + 1.75
x = 1.658312395 + 1.75
Combine like terms: 1.658312395 + 1.75 = 3.408312395
x = 3.408312395
Simplifying
x = 3.408312395
then
</span>x + -1.75 = -1.658312395
Simplifying
x + -1.75 = -1.658312395
Reorder the terms:
-1.75 + x = -1.658312395
Solving
-1.75 + x = -1.658312395
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '1.75' to each side of the equation.
-1.75 + 1.75 + x = -1.658312395 + 1.75
Combine like terms: -1.75 + 1.75 = 0.00
0.00 + x = -1.658312395 + 1.75
x = -1.658312395 + 1.75
Combine like terms: -1.658312395 + 1.75 = 0.091687605
x = 0.091687605
Simplifying
x = 0.091687605
<span>
and finally your solution is x=3.408312395 and x=0.091687605
</span><span>
or another way to write it is
</span>x=\frac{1}{4}(7-2 \sqrt{11} )
[/tex]
x=\frac{1}{4}(7+2 \sqrt{11} ) [/tex]
Answer:
275.125
Step-by-step explanation:
you multiply 35.5 times 7.75 and u should get 275.125