Direct variation:-
y = kx where k is a constant
y=12 when x=6 so we have:-
12 = k*6
k = 12/6 = 2
so our equation of variation is y = 2x Answer
Answer:
A
Step-by-step explanation:
Because -20 is more than -17 by -3
198 feet..........1 meter
<span>------------- X-------------- </span>
<span>1 second.......3.3 feet </span>
<span>198 </span>
<span>----- meters per second </span>
<span>3.3 </span>
<span>60 meters per second.......ANSWER </span>
<span>60 m/sec X 15 sec = 900 feet.......ANSWER </span>
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<span>A PRESENT FOR YOU </span>
<span>Ask someone to write a number, say a five-digit number. </span>
<span>(Can be a 2-digit.....3-digit.....4-digit....ect..... </span>
<span>Suppose the number written is </span>
<span>57836 </span>
<span>Now, without showing the asker, you write a number on </span>
<span>a sheet of paper and keep it folded. You have to write the </span>
<span>number by subtracting 2 from the above number and </span>
<span>adding 2 in front which will be.... </span>
<span>257834 </span>
<span>Next, ask the person to write another five-digit number </span>
<span>below his original number. Suppose he writes 37589. </span>
<span>So you now have... </span>
<span>57836 </span>
<span>37589 </span>
<span>Now you write a five-digit number below it in such a </span>
<span>way that each digit is 9 minus digit above. You now have... </span>
<span>57836 </span>
<span>37589 </span>
<span>62410 </span>
<span>Ask the person to add one more 5-digit number. If he </span>
<span>adds 54732, you add below it 45267. Note that you decided </span>
<span>the number by subtracting each of his digit from 9. </span>
<span>Thus, you now have..... </span>
<span>57836 </span>
<span>37589 </span>
<span>62410 </span>
<span>54732 </span>
<span>45267 </span>
<span>Next, ask him to add all the number and he gets 257834 </span>
<span>Show him the number which you had written as an answer </span>
<span>to this addition earlier in the folded paper and surprise him.</span>
Answer:
$(400+80x)
Step-by-step explanation:
We are required to find the total income on Friday Night
Ticket costs $5 each and they sold 80 tickets
Total ticket Sales = 80 X $5 =$400
There was a donation of $x per ticket, so for 80 tickets, there was a donation of $80x.
Total Income on Friday Night=Ticket Sale+Donations= $(400+80x)
Let:
Vj = Speed of jane
Vm = Speed of mike
d = distance
t = time
Jane travels 7 mph less than 2 times as fast as Mike, therefore:
Vj = 2Vm - 7
Remeber:
distance = speed*time
Distance traveled by mike:
d=Vm*t = Vm*6
Distance traveled by jane:
d + 198 = Vj*6
where:
Vj = 2Vm - 7
d + 198 = (2Vm-7)*6
Now, let:
d=Vm*6 (1)
d + 198 = (2Vm-7)*6 (2)
Replace (1) into (2)
6Vm + 198 = 12Vm - 42
Subtract 6Vm from both sides:
6Vm + 198 - 6Vm = 12Vm - 42 - 6Vm
198 = 6Vm - 42
Add 42 to both sides:
198 + 42 = 6Vm - 42 + 42
240 = 6Vm
Divide both sides by 6:
240/6 = 6Vm/6
40 = Vm
Vm = 40mph
Replace Vm into this equation Vj = 2Vm - 7 :
Vj = 2(40) - 7 = 80 - 7 = 73mph
