The unit rate of 521 miles in 14 hours is 37.214 miles per hour.
Answer:
-5
Step-by-step explanation:
The sum of the given expression { (w - 2.4) + (1 - 0.5w) } is 0.5w - 1.4.
<h3>What is the sum of the given expression?</h3>
Given the expression in the question;
(w - 2.4) + (1 - 0.5w)
Remove the parenthesis
w - 2.4 + 1 - 0.5w
Collect like terms and simplify
w - 2.4 + 1 - 0.5w
w - 0.5w - 2.4 + 1
1w - 0.5w - 2.4 + 1
0.5w - 1.4
Therefore, the sum of the given expression { (w - 2.4) + (1 - 0.5w) } is 0.5w - 1.4.
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Step-by-step explanation:
so, we need to find the smallest common multiple of 36 and 42.
that is the smallest number I can divide both by 36 and 42 without remain.
let's use the method of basic prime factors (we start with the smallest fitting prime number - 2 is a prime number too - and divide as often as possible, then continue with the next bigger prime number, until there is nothing left to divide) :
36 / 2 = 18
18 / 2 = 9
9 / 3 = 3
3 / 3 = 1 finished
therefore,
36 = 2×2×3×3
42 / 2 = 21
21 / 3 = 7
7 / 5 does not work
7 / 7 = 1 finished
therefore,
42 = 2×3×7
to find the smallest common multiple (SCM) we check the maximum length of each prime factor sequence.
and we see 2 times 2, 2 times 3 and 1 time 7.
so, the SCM = 2×2×3×3×7 = 252.
there is no smaller number that can be divided by both 36 and 42 without remain.
so, the rod must be at least 252 cm long to cut it into equally long pieces of either 36 cm (7 pieces) or 42 cm (6 pieces).
Answer:
$26532.98
Step-by-step explanation:
<u>Given:</u>
- Principal = $10000
- Profit rate = 5% PA compounded
- Time = 20 years
- Compounds = 20*1 = 20
<u>Sum is:</u>
- 10000*(1 + 5/100)²⁰ ≈ 26532.98
