Answer:
Each member ran (1/12) of a mile.
Step-by-step explanation:
We have 10 members of Balin's soccer team.
Each one of them ran a distance D.
We know that their combined distance was 5/6 of a mile.
And if each one of them ran the same distance D, then the combined distance is ten times D, or :
10*D
and this is equal to 5/6 of a mile, then we get the equation:
10*D = (5/6) of a mile.
We want to solve this for D, so we can divide both sides by 10:
10*D/10 = (5/6)/10 of a mile.
D = (5/10*6) of a mile
D = (5/10)/6 of a mile
D = (1/2)/6 of a mile
D = (1/2*6) of a mile
D = (1/12) of a mile.
This means that each member ran (1/12) of a mile.
Answer:
The difference between the number of pounds of strawberries and the number of pounds of grapes in the mix is 33.42 pounds.
Step-by-step explanation:
I think that the right question is:
In the system of equations shown, x represents the number of pounds of strawberries, and y represents the number of pounds of grapes in a fruit mix. x y = 15.82 and x - 1.90y = 72.5. what is the difference between the number of pounds of strawberries and the number of pounds of grapes in the mix
Given that:
x represents the number of pounds of strawberries, and y represents the number of pounds of grapes in a fruit mix.
The equation relating x and y is given by the equation:
Subtracting equation 2 from equation 1, we get:
Putting y = 19.54 in equation 1 to get:
Therefore, the difference between the number of pounds of strawberries and the number of pounds of grapes in the mix is given by:
The difference between the number of pounds of strawberries and the number of pounds of grapes in the mix is 33.42 pounds.
To divide complex numbers in polar form, divide the r parts and subtract the angle parts. Or
<span><span><span><span>r2</span><span>(<span>cos<span>θ2 </span>+ i</span> sin<span>θ2</span>) / </span></span><span><span>r1</span><span>(<span>cos<span>θ1 </span>+ i</span> sin<span>θ1</span>)</span></span></span></span> <span>= <span><span><span>r2/</span><span>r1</span></span></span><span>(cos(<span><span>θ2</span>−<span>θ1) </span></span>+ i sin(<span><span>θ2</span>−θ1)</span><span>)
</span></span></span>
z1/z2
= 3/7 (cos(π/8-π/9) + i sin(π/8 - π/9))
= 3/7 (cos(π/72) + i sin(π/72))
Answer:
awnser G
Step-by-step explanation:
