Answer:
Step-by-step explanation:
- Initial number of marbles = 120
- Lost at every game = 5
- Stolen by a squirrel = 3
- Left = less than 10
<u>Let the number of games be x</u>
- then lost marbles = 5x
- stolen marbles = 3x
<u>Inequality:</u>
- 120 - 5x - 3x < 10
- 120 - 8x < 10
- 110 < 8x
- x > 110/8
- x > 13 rounded down
<u>Since there should be more than 0 left, another inequality for it:</u>
- 120 - 8x > 0
- 120 > 8x
- x < 15
So 13 < x < 15, which leaves us with 14
Using laws of exponents,
9^(1/2) = 34^(-1/2) = (1/4)^(1/2) = 1/2
Therefore,9^(1/2)/(4^(-1/2)) = 3/(1/2) = 6.
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Answer:
The side s has a length of 4 and side q has a length of 4
⇒ F
Step-by-step explanation:
In the 30°-60°-90° triangle, there is a ratio between its sides
side opp (30°) : side opp (60°) : hypotenuse
1 :
: 2
In the given triangle
∵ The side opposite to 30° is s
∵ The side opposite to 60° is q
∵ The hypotenuse is 8
→ Use the ratio above to find the lengths of s and q
side opp (30°) : side opp (60°) : hypotenuse
1 :
: 2
s : q : 8
→ By using cross multiplication
∵ s × 2 = 1 × 8
∴ 2s = 8
→ Divide both sides by 2
∴ s = 4
∴ The length of s is 4
∵ q × 2 =
× 8
∴ 2q = 8
→ Divide both sides by 2
∴ q = 4
∴ The length of q is 4
Answer:
Hi, There!
Your Answer is 
Step-by-step explanation:

Which Equals

Now if you dived the numerator and denominator by 6 you Get...

Therefore, I hope this helps!
Take Care!
