Answer:
$5.50
Step-by-step explanation:
2.50divided by 10= .25
.25 times 22= 5.50
Answer:
0
Step-by-step explanation:
They are the same set
its been a minute since ive done this but im pretty sure the answers are
1.C
2.A
3.C
4.B
5.A
hope it helps
In order to answer this, it would be useful to calculate the area of the cardboard and the circles. We do as follows:
Total area of cardboard = <span> 8.0 in. x 11.0 in = 88 in^2
Area of one circle = pi(r^2) = pi(0.5)^2 = 0.7854 in^2
Number of full circles = 88 / 0.7854 = 112.0451
Therefore, there will be 112 number of full circles. The percentage of waste is equal to:
% waste = (88 - 0.7854(112) / 88) x 100= 0.04%</span>
Answer:
value of a is -19
value of b is 10
Step-by-step explanation:
<u>Given</u>
p(x) = 6x³ + ax² + 9x + b
Since it is given (x-2) & (2x-1) are the factors of given polynomial p(x) .
So, x = 2 & x = -1/2 are the solutions of given polynomial .
<u>when </u><u>x </u><u>=</u><u> </u><u>2</u><u> </u>
p(2) = 6(2)³ + a(2)² + 9 (2) + b = 0
p(2) = 6×8 + 4a + 18 + b = 0
p(2) = 48 + 4a + 18 + b = 0
p(2) = 66 + 4a + b = 0
4a + b = -66 -------(i)
Now ,
when x = -½
p(-½) = 6(-½)³ + a (-½)² + 9(-½) + b = 0
6 × (-⅛) + a/4 - 9/2 + b = 0
-3/4 + a/4 - 9/2 + b = 0
-3 + a -18+4b/4 = 0
-21 + a + 4b = 0
a + 4b = 21 -------(ii)
Now, multiplying the equation (ii) by 4 we get
4a + 16b = 84 -----(iii)
Substracting equation (i) from (iii) we obtain
15b = 150
b = 150/15
b = 10
Now, putting the value of b = 10 in equation (ii) we get
a + 40 = 21
a = 21-40
a = -19
So, the required value of a & b are 10 & -19 respectively .
