Answer:
Denote:
A(-10, -10)
B(6, -2)
vector AB(6 - -10, -2 - -10) = (16, 8)
(3/5)vector AB = (16 x 3/5, 8 x 3/5) = (9.6, 4.8)
=> Point M that partitions the directed line segment AB into a ratio of 3 to 5:
M = A + (3/5)vector AB = (-10 + 9,6, -10 + 4.8) = (-0.4, -5.2)
Hope this helps!
:)
Answer:
lower limit is n=1
upper limit is n=18
n=1 to 18∑(7n-4)
Number of beads = 1125
Step-by-step explanation:
Given series is 3+10+17+24.....
we find the formula to find nth term(explicit formula)
first term (a1) = 3
common difference (d)= 7
total of 18 rows
So we find sum for n =1 to 18
lower limit is n=1
upper limit is n=18
n=1 to 18∑(7n-4)
(b) to find total number of beads we apply sum formula
n=18, a=3, d= 7
S= 9(125)=1125
Number of beads = 1125
Answer:
<h2>She gave her brother 6 tickets</h2>
Step-by-step explanation:
This problem is on fractional numbers.
given that she has 60 tickets
1.She used 3/4 of her tickets to play game
=(3/4)*60
=180/4
=45
She is left with (60-45)= 15 tickets
2. She used 1/5 of her remaining tickets for rides
=(1/5)*15
=15/5
=3
She is left with (15-3)= 12 tickets
3. She gave half of her tickets to her brother.
= (1/2)*12
=12/2
= 6
She gave her brother 6 tickets
5x5,150 =$<span>25,750 = Answer</span>
Deductions per dependent $5,150 times 5 in 2010
Make them all have the same denominator
32
25+12 16/32+488/32+124/32+38/32+25/32
Add all of the numerators... to get 691/32+1184/32
1875/32
Simplify to get 58 19/32
