(1/3)(4/15)+8 would be the equation typed out, but hand written it's recommended (at least, by my past teachers) that the fractions be written numerator on top and denominator on the bottom rather then side-by-side.
Answer:
351.68
Step-by-step explanation:
c = 2πr
c = 2(3.14)(56)
c = 6.28(56)
c = 351.68
Answer:
$13.50
Step-by-step explanation:
You can use the simple interest formula here: I(interest)=P(principal amount)r(interest rate)t(years). I=Prt. So just plug in the numbers. I=90x.15x1=13.5
M - 536 <== ur expression
when the mass is 781 grams...
781 - 536 = 245
so the mass of the package is 781....and when it is reduced by 536 grams, it equals 245 grams
First, we simplify 6x+2y=36 into 3x+y=18 by dividing by 2. This means that y=-3x+18.
The sum

can be written as:

,
<span>
from the binomial expansion formula: </span>

.
<span>
Thus, substituting </span>y=-3x+18 and simplifying we have<span>
</span>



.
This is a parabola which opens upwards (the coefficient of x^2 is positive), so its minimum is at the vertex. To find x, we apply the formula -b/2a. Substituting b=-108, a=10, we find that x is 108/20=5.4.
At x=5.4, the expression

, which is equivalent to

, takes it smallest value.
Substituting, we would find

=32.4 This is the smallest value of the expression.
For x=5.4, y=-3x+18=-3(5.4)+18=1.8.
Answer: (5.4, 1.8)