Answer: Dad is getting food ready for my birthday party! Including
me, there will be 18 people at the party. Dad is baking
cookies for us! He can bake 24 cookies per batch.
How many batches should I tell Dad to make so we can each
have 4 cookies?
Step-by-step explanation:
"Jack can wrap 28 boxes in 2 hours"
<span>Jack wraps 28 boxes/(2 hours) = 14 boxes/hour </span>
<span>"Walter takes 3 hours to wrap 36 boxes" </span>
<span>Walter wraps 36 boxes/(3 hours) = 12 boxes/hour </span>
<span>Together they wrap 14+12 = 26 boxes per hour. </span>
<span>t hours × 26 boxes/hour = 65 boxes </span>
Answer: S₁₉ = 855
Step-by-step explanation:
T₄ = a + ( n - 1 )d = 5 , from the statement above , but n = 4
a + 3d = 5 -------------------------1
S₆ = ⁿ/₂[(2a + ( n - 1 )d] = 10, where n = 6
= ⁶/₂( 2a + 5d ) = 10
= 3( 2a + 5d ) = 10
= 6a + 15d = 10 -----------------2
Now solve the two equation together simultaneously to get the values of a and d
a + 3d = 5
6a + 15d = 10
from 1,
a = 5 - 3d -------------------------------3
Now put (3) in equation 2 and open the brackets
6( 5 - 3d ) + 15d = 10
30 - 18d + 15d = 10
30 - 3d = 10
3d = 30 - 10
3d = 20
d = ²⁰/₃.
Now substitute for d to get a in equation 3
a = 5 - 3( ²⁰/₃)
a = 5 - 3 ₓ ²⁰/₃
= 5 - 20
a = -15.
Now to find the sum of the first 19 terms,
we use the formula
S₁₉ = ⁿ/₂( 2a + ( n - 1 )d )
= ¹⁹/₂( 2 x -15 + 18 x ²⁰/₃ )
= ¹⁹/₂( -30 + 6 x 20 )
= ¹⁹/₂( -30 + 120 )
= ¹⁹/₂( 90 )
= ¹⁹/₂ x 90
= 19 x 45
= 855
Therefore,
S₁₉ = 855
Answer:
F
Step-by-step explanation:
3(5) would be the equivalent of 3*5, adding the + n.