9514 1404 393
Answer:
Step-by-step explanation:
There are <em>an infinite number of possibilities</em>. Any vector whose dot-product with p is zero will be perpendicular to p.
Let m = 0i +1j +ak. Then we require ...
m·p = 0 = 0×1 +1×2 +a(-2) ⇒ 0 = 2 -2a ⇒ a = 1
m = 0i +1j +1k
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Let n = 2i +0j +bk
n·p = 0 = 2×1 +0×2 +b(-2) ⇒ 2 -2b = 0 ⇒ b = 1
n = 2i +0j +1k
Use the distributive property:
5*b+5*2+b=20
5b+10+b=20.
Combine like terms:
6b+10=20.
Subtract 10 from both sides:
6b+10-10=20-10
6b=10.
Divide both sides by 6:
6b/6=10/6
b=5/3=1 2/3.
Brian travels 1 2/3 hours. This means Annie travels
5(1 2/3+2)=5(3 2/3)=5(11/3)=55/3=18 1/3 hours.
Hope this helps!
Answer:
6x + 25 ≤ 135
Step-by-step explanation:
Maximum amount to spend = $135
Boxes of popcorn = 2
Boxes of candy = 3
Cost per box of popcorn = $6
For 3 boxes = $6 * 3 = $18
Cost per box of candy = $3.50
For 2 boxes = $2 * 3.50 = $7
Item cost = Cost of candy and popcorn = $18 + $7 = $25
Ticket price = $6
Inequality to find number of friends ;
Let number of friends = x
Ticket cost = 6x
Hence ;
Ticket cost + item cost ≤ 135
6x + 25 ≤ 135
