Answer:
Step-by-step explanation:
Let h be the number of hats Elliott makes and s be the number of scarves she makes.
Each hat uses 0.2 kilograms of yarn and each scarf uses 0.1 kilograms of yarn. Elliott wants to use twice as much yarn for scarves as for hats. This is expressed as
h = 2s
The total number of hats and scarves that she wants to make is 20. This is expressed as
h + s = 20
Therefore, the system of equations that represents this situation are
h = 2s
h + s = 20
<span>The proportion of clay uses is 3/8 (Three Eighths). That is 3 lbs. of clay to every 8 vases. This is determined by the first given proportion 3 lbs./8 vases and confirmed by the second. To prove that is the case you divide the second ration by the first numerator:
9 divided by 3 = 3 and 24 divided by 3 = 8. So the proportion for 9/24 is still 3/8. This can also be used to increase the number of vases made. For example if 40 vases need to be made:
we divide 40 by the numerator 8 = 5. So we need 5 portions of 3 to make 40 vases. 5 times 3 = 15. So the 15 lbs. of clay is needed for 40 vases.</span>
The pack of pens that has 12, is you bought 120 pens the total would be $90 but with the other pack it would cost $93.60
hope this helps!
<span>1 gallon = 231 in
1 inch = 2.54 cm
</span><span>Honestly, I would say it will fill up because if your solving for the amount of centimeters in a gallon then the gallon would fill up. It just makes sense to me, don't know if it's correct because what I did was take the amount of centimeters in a inch and multiply it by the total amount of inches in a gallon.
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HOPE THIS HELPS! ^_^
Answer : 29.5°
Given r = 10, q = 20, and Q = 100°
From the attached figure we can see that two sides and one angle is given
We use sine rule to find angle R
In triangle QRS
r = 10, q = 20, and Q = 100°
Replace all the values
=sin R
0.4932403876 = sin (R)
R= 
R= 29.5 degrees
