Answer: Gordon:16
Henry: 24
Sarah:1
Step-by-step explanation:
Add up the ratios and divide 48 by 6(added up ratios) and you get 8. Multiply that by individual ratios.
Answer:
2 pounds of coffee costing $4 should be mixed with 3 pounds of coffee costing 4.50 a pound to obtain a mixture costing $4.30 a pound.
Step-by-step explanation:
Given that coffee costing $4 a pound mixed with 3 pounds of coffee costing $4.50 a pound . we have to find the number of pounds of coffee mixed with 3 pounds of coffee costing $4.50 a pound to obtain a mixture costing $4.30 a pound.
Let x be the pounds of coffee mixed.
Cost of coffee of 3 pounds costing $4.50 a pound is 3(4.50)=$13.5
Total weight of mixture=x+3
The cost per pound of the mixture will be the total value of the coffee in the mixture divided by the total weight of the mixture which is 4x+13.5 divided by total weight 3 + x.
∴ A/Q the equation becomes

⇒ 4x+13.5=4.30(3)+4.3x
⇒ 0.6=0.3x
⇒ x=2
Hence, 2 pounds of coffee costing $4 should be mixed with 3 pounds of coffee costing 4.50 a pound to obtain a mixture costing $4.30 a pound.
Volume is Length x Width x height.
The pool is cubical, so the length and width are the same dimension.
First find the volume of the pool that is filled by water:
Volume = 12 x 12 x 2 = 288 cubic meters.
Now convert cubic meters to liters:
1 cubic meter = 1,000 liters
288 x 1000 = 288,000 liters
A) <span>Scale factor of the smaller pyramid to the larger pyramid in simplest form:
</span>6 m / 12 m = 1/2
b) <span>Ratio of the areas of the bases of the smaller pyramid to the larger pyramid:
</span><span>(1/2)^2 = 1/4 </span>
c) <span>Ratio of the volume of the smaller pyramid to the larger:
</span><span>(1/2)^3 = 1/8 </span>
d) <span>Volume of the smaller pyramid:
</span>(1/8) * 400 m^3 = 50 m^3