Hi there!
• Greatest Common Factor :-
GCF is th' greatest factor that divides two numbers.
To find the GCF of two numbers :-
→ List the prime factors of each number.
→ Multiply those factors both numbers have in common.
Accr'ding to the question :-
5n⁴ = 5 × n × n × n × n × 1
6w³ = 2 × 3 × w × w × w × 1
Greatest Common Factor [ 5n⁴, 6w³ ] = 1
~ Hope it helps!
Answer:
<h3>
28° and 152°</h3>
Step-by-step explanation:
Suplementary angles add to 180°
If one of angles is 124° more than the other then if we subtract 124° from the larger angle we get two equal angles which sum is also 124° less
180° - 124° = 56°
56° - sum of two equal angles
56° ÷ 2 = 28° - the measure of smaller angle
28° + 124° = 152° - the measure of larger angle
Multiply 200 rolls by 70%
200 *0.70 = 140
The bowler should knock at least 6 pins down 140 rolls
Let daniel's age = d and let jessica's age = j
let your current age = x and your wife's current age = y
x = 5d (given in question)
∴ x - 5d = 0
x + 21 = 2(d+21) (given in question)
∴ x + 21 = 2d + 42
∴ x - 2d = 21
We can solve these two rearranged equations simultaneously by multiplying the first equation by -1 and adding them. This gives us the following:
3d = 21
∴ d = 7
This means that daniel is currently 7 and (if we substitute d = 7 into one of the equations) you are 35. We use a similar method for your wife's and jessica's current ages.
y = 7j (given in question)
∴ y - 7j = 0
y + 8 = 3(j + 8)
∴y + 8 = 3j + 24
∴ y - 3j = 16
If we use a similar method of elimination we get this:
4j = 16
∴ j = 4
Hence, from this we can concur that daniel is 7 and jessica is 4.
To find that one, just look at the highest exponent. In the given equation that would be 4, so there can be at most 4 zeros in this function.