Answer:
S₁₆ = 328
Step-by-step explanation:
the nth term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
given a₄ = 7 and a₇ = 16 , then
a₁ + 3d = 7 → (1)
a₁ + 6d = 16 → (2)
subtract (1) from (2) term by term to eliminate a₁
0 + 3d = 9
3d = 9 ( divide both sides by 3 )
d = 3
substitute d = 3 into (1) and solve for a₁
a₁ + 3(3) = 7
a₁ + 9 = 7 ( subtract 9 from both sides )
a₁ = - 2
the sum to n terms of an arithmetic sequence is
= 
[ 2a₁ + (n - 1)d ]
with a₁ = - 2 and d = 3 , then
S₁₆ = 
[ (2 × - 2) + (15 × 3) ]
= 8(- 4 + 45)
= 8 × 41
= 328
Answer:
2,267.9g
Step-by-step explanation:
2,267.9g is more precise than 2,268 g becasue it is providng the actual number, with decimals. It is providind the most accurate weight, showing that it's just a tiny bit less than 2,268 g, but still has the exact weight. 2,268g on the other hand, is rounded up which is also good in some scenarios, but it's not as accuracte/precise as the exact amount of something.
Answer:
Step-by-step explanation:
Answer:
For #2: It's C. 17 nickels and 15 quarters.
Step-by-step explanation:
17*5= 85
15*25= 375
375+85= 460
add in the decimal:
17* 5 cents= $.85
15* 25 cents= $3.75
$3.75+ $.85= $4.60
Dividing by fractions is just like multiplying fractions, except for one additional step.
<span>To divide any number by a fraction:
First step: Find the reciprocal of the fraction.
<span>Second step: </span>Multiply the number by the reciprocal of the fraction.
Third step: Simplify the resulting fraction if possible.
Fourth step: Check your answer: Multiply the result you got by the divisor and be sure it equals the original dividend.</span>
