275 = 100%
110 = x%
Cross Multiply
275 * x = 100 * 110
275x = 11000
x = <u>11000</u>
275
x = 40
110 = 40%
Solution: 40%
Answer:
-5 and +7
Step-by-step explanation:
f(x) = (x²- 3x - 28)/(x² - 2x - 35)
The excluded values of x are those that make the denominator equal to zero.
x² - 2x – 35 =0
(x – 7)(x + 5) =0
x - 7 = 0
x = 7
x+ 5 = 0
x = -5
The excluded values of x are -5 and +7.
Answer:
64 ivy stems
Step-by-step explanation:
Ratio of ivy stems to centerpieces:
72/18 = 4 ivy stems per centerpiece
Therefore,
16 x 4 = 64
Answer:

Step-by-step explanation:
we know that
In a right triangle
Applying the Pythagorean Theorem

where
c is the hypotenuse (the greater side)
a and b are the legs (perpendicular sides)
In this problem we have

substitute



Answer:
p = 25,20 cm
h = 34,32 cm
A(min) = 864,86 cm²
Step-by-step explanation:
Let call p and h dimensions of a poster, ( length , and height respectively) and x and y dimensions of the printed area of the poster then
p = x + 8 and h = y + 12
Printed area = A(p) = 384 cm² and A(p) = x*y ⇒ y = A(p)/x
y = 384 / x
Poster area = A(t) = ( x + 8 ) * ( y + 12 ) ⇒ A(t) = ( x + 8 ) * [( 384/x ) + 12 ]
A(t) = 384 + 12x + 3072/x + 96 A(t) = 480 + 3072/x + 12x
A(t) = [480x + 12x² + 3072 ] / x
A´(t) = [(480 + 24x )* x - (480x + 12x² + 3072]/x²
A´(t) = 0 [(480 + 24x )* x - 480x - 12x² - 3072] =0
480x + 24x² -480x -12x² - 3072 = 0
12x² = 3072 x² = 296
x = 17,20 cm and y = 384/17,20 y = 22,32 cm
Notice if you substitu the value of x = 17,20 in A(t) ; A(t) >0 so we have a minimun at that point
Then dimensions of the poster
p = 17,20 + 8 = 25,20 cm
h = 22.32 + 12 =34,32 cm
A(min) = 25,20 *34.32
A(min) = 864,86 cm²