N= number of books
7.50(n + 0.2)=189
multiply 7.50 by each term in parentheses
(7.50*n) + (7.50*0.2)= 189
7.50n + 1.5= 189
subtract both sides by 1.5
7.50n= 187.50
divide both sides by 7.50
n= 25
ANSWER: She ordered 25 books.
Hope this helps! :)
Answer:
w = -4
Step-by-step explanation:
<u>Step 1: Distribute</u>
-2w - 14 = 2(w + 1)
-2w - 14 = 2w + 2
<u>Step 2: Add 2w to both sides</u>
-2w - 14 + 2w = 2w + 2 + 2w
-14 = 4w + 2
<u>Step 3: Subtract 2 from both sides</u>
-14 - 2 = 4w + 2 - 2
-16 = 4w
<u>Step 4: Divide both sides by 4</u>
-16 / 4 = 4w / 4
<em>-4 = w</em>
<em />
Answer: w = -4
0.62068966 or 18/29 depending on how you want to set it up.
Answer:
Do what it says and i'll give you the answer.
Step-by-step explanation:
1. Because the slopes are negative recipricals of each other then these lines are perpendicular. y=x+7 (red line) y=-x+2 (green line) +graph%28+300%2C ...
2.
<span> we know the length of the cable is 9m.
That means the magnitude of </span><span><span>r<span><span><span>AB</span></span><span></span></span></span>=9</span><span>m.
The unit vector, denoted u, is each of </span><span>r<span><span><span>AB</span></span><span></span></span></span><span> divided by the magnitude.
</span>u=<span>(<span><span>x/9</span><span></span></span>i−<span>y/9<span></span></span>j−<span>z/9<span></span></span>k<span>)
</span></span><span>We can also figure out the unit vector of F.
</span>u=(350i - 250j - 450k)/√(350² +(-250)² +(-450)²)
u=0.562i−0.401j−0.723<span>k
</span>
<span>Force F is directed from point A to B, then both unit vectors must be equal.
Therefore
</span>(x/9i−y/9j−z/9k)=0.562i−0.401j−0.723k
<span>We can now solve for each term
x/9=0.562----- > x=5.058 m
-y/9=-0.401--------- > y=3.609 m
-z/9=-0.723------- > z=6.507 m
The answer is
the coordinates of point a
(5.058,3.609,6.507)
</span>