Answer:
The nuts weigth is 37/16 or 2.3125 pounds.
Step-by-step explanation:
In order to solve this problem we first need to convert all the measurements to the same unit, in this case we will convert ounces to pounds, to do that we need to divide the value by 16, we have:
almonds = 9/16 pounds
We can now convert the weigh of pecans from a mixed fraction to a simple fraction, to do that we sum the integer part to the fraction, we have:
pecans = 1 + 1/8 = 8/8 + 1/8 = 9/8 pounds
We now sum all the weigths:
total weigth = 9/8 + 5/8 + 9/16
Applying LMC we have:
total weigth = (2*9 + 2*5 + 9)/16 = (18 + 10 + 9)/16 = 37/16 = 2.3125 pounds
The nuts weigth is 37/16 or 2.3125 pounds.
Answer:
The plates will not fit into the box.
Step-by-step explanation:
Each plate is 0.5 inches tall; therefore, the stack of 8 plates will have a height of
.
Also, the diameter of the largest plate is 10 inches or has a radius of 5 inches, which matches the radius of the cylindrical box; therefore, we know that the stack of plates can fit into the base area of the cylindrical box.
What we want to figure out now is the height of the cylindrical box <em>to see if it is greater than or equal to 4 inches</em>—<em>the height of the stack of plates. </em>
The volume of a cylinder is
, and since for our cylindrical box the volume is 150 cubic inches; therefore,

putting in
and solving for height
we get

,
which is not greater than 4 inches, which means the plates will not fit into the box since the height of the stack is greater than the height of the box.
250 mg / 100 mg = 2.5 ml
5 ml / 2.5 ml = 2
1/2 teaspoon
Answer:
![8[3x+2]](https://tex.z-dn.net/?f=8%5B3x%2B2%5D)
Step-by-step explanation:
we have

we know that


substitute

Factor 2^3
![(2^{3})[(3)x+(2)]](https://tex.z-dn.net/?f=%282%5E%7B3%7D%29%5B%283%29x%2B%282%29%5D)
![8[3x+2]](https://tex.z-dn.net/?f=8%5B3x%2B2%5D)
Answer:

Step-by-step explanation:
Let x be cost of 1 eraser.


