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.
Answer:
1. 14
2. 2.75
3. 7.25
4. 6.5
Step-by-step explanation:
1. You just make a dot plot and count the amount of dots there are.
2. You go to your dot plot and see the smallest amount and you get your answer.
3. Same thing as the smallest amount, except you just have to find the greatest amount.
4. You just find which number appears the most on the dot plot, and bam you got your answer.
Get a common denominator to compare
7/8 = 28/32
27/32 < 28/32
7/8 is larger than 27/32
Answer:
B: -6+2i
Step-by-step explanation:
- 3i + (-6 - i) = ⇒ open parenthesis
- 3i - 6 - i = ⇒ simplify
- -6 + 2i ⇒ answer in standard form of a+bi
Answer:
x=4
Step-by-step explanation:
Because we know that PQ = RS, we can use the transitive property to replace PQ in the first equation with 29:
9x-7=29
1) Add 7 to both sides:
9x=36
2) divide by 9 on both sides:
x=4