The cost of the mixture is $69 *$1 = $69. If all 69 pounds were peanuts, the cost would be 69*$0.99 = $68.31, which is $0.69 less. Each pound of walnuts used instead of peanuts adds $0.03 to the cost of the mixture, so there were $0.69/$0.03 = 23 pounds of walnuts.
<span>_____ </span>
<span>Let w represent the number of pounds of walnuts in the mixture. Then 69-w is the number of pounds of peanuts. The cost of the mixture will be </span>
<span>1.02w + 0.99(69-w) = 1.00*69 dollars </span>
<span>0.03w + 68.31 = 69.00 </span>
<span>w = (69.00 - 68.31)/0.03 = 0.69/0.03 = 23</span>
Answer:
c = 29
Step-by-step explanation:
Law of sines is given as: 
B = 180 - (57 + 44) = 79°
b = 41
C = 44°
c = ?
Thus:
Substitute
Multiply both sides by sin 44
c = 29.0140633 ≈ 29
Answer:
A,C
Step-by-step explanation:
sin 2x=sin (x+x)=sinx cos x+cos x sin x=2 sin x cos x
or =2 cos x sin x
[sinx cox=cos x sin x ]
Step-by-step explanation:
since it is in the same line as DE, both have the same slope.
the slope is the ratio of "y coordinate change / x coordinate change" when going from one point on the line to another.
and so by using the coordinates of D and E
x changes by +4 (from 8 to 12).
y changes by -8 (from 32 to 24).
the slope is therefore
-8/+4 = -2
Answer:
Step-by-step explanation:
Given the formula for calculating the distance travelled expressed as;
s=1/2at^2
Given
a = 3
t = 10
Required
lower bound of s
Substitute the given values into the equation;
s=1/2at^2
S = 1/2(3)(10)^2
S = 1/2 * 3 * 100
S = 3 * 50
S = 150
Hence the lower bound of distance S is 150
