Answer:
b = -10
Step-by-step explanation:
2(b + 3) = b – 4
2b + 6 = b - 4
-b -b
b + 6 = -4
-6 -6
b = -10
Question #25:
One way to solve this is by multiplying the number of packages per serving by the number of guests.
1/4 * 16 = 4 packages to serve 16 guests. This means he doesn't have enough.
A second way to solve this is by diving the number of packages by the number of packages it takes to make on serving.
3 1/2 ÷ 1/4 = 14 guests he can serve. This means he doesn't have enough.
Question #26:
First, find common denominators.
2/3 = 8/12
1/4 = 3/12
Second, subtract.
8/12 - 3/12 = 5/12
Therefore, the tank is 5/12 full at the end of the trip.
Question #27:
1/2 is cut off then 1/3 is cut off. This means 3/6 was cut off to bundle newspapers, then 1/6 was cut off to make parcel. In all, 4/6 was cut off the original string. Afterwards, 2/6 was left over. So, just multiply; 2 * 3 = 6.
Therefore, the original string was as a total of 6 meters.
Best of Luck!
Answer:
![Volume = 24\ ft^3](https://tex.z-dn.net/?f=Volume%20%3D%2024%5C%20ft%5E3)
Step-by-step explanation:
Given [Missing from the question]
![Length = 170cm\\ Width = 100cm\\ Height = 40cm](https://tex.z-dn.net/?f=Length%20%3D%20170cm%5C%5C%20Width%20%3D%20100cm%5C%5C%20Height%20%3D%2040cm)
Required
Determine the volume
This is calculated as:
![Volume = Length * Width * Height](https://tex.z-dn.net/?f=Volume%20%3D%20Length%20%2A%20Width%20%2A%20Height)
![Volume = 170cm * 100cm * 40cm](https://tex.z-dn.net/?f=Volume%20%3D%20170cm%20%2A%20100cm%20%2A%2040cm)
![Volume = 680000cm^3](https://tex.z-dn.net/?f=Volume%20%3D%20680000cm%5E3)
Convert to cubic foot [Divide by 28317
]
![Volume = \frac{680000\ ft/^3}{28317}](https://tex.z-dn.net/?f=Volume%20%3D%20%5Cfrac%7B680000%5C%20ft%2F%5E3%7D%7B28317%7D)
![Volume = 24.0138432744\ ft^3](https://tex.z-dn.net/?f=Volume%20%3D%2024.0138432744%5C%20ft%5E3)
--- approximated
Answer:
PR = 5 because LP + PR = LR according to the Segment Addition Postulate, and 7 + 5 = 12 using substitution
Step-by-step explanation:
The naming of the segments suggests that point P is between L and R, so that ...
LP + PR = LR
This corresponds to the last choice.
_____
<em>Comments on the alternate interpretation</em>
On the other hand, if point L is between P and R, then the segments are PL and LR. The Segment Addition Postulate would tell you that ...
PL + LR = PR
The Reflexive Property of Congruence would tell you that PL = LP. The Substitution Property would tell you LP can be substituted into this equation, making it ...
LP + LR = PR
and by the commutative property, ...
LR + LP = PR.
Multiple properties of addition and congruence are involved with this interpretation, which more or less matches the third choice. That is, the simple explanation of answer choice 3, by itself, is insufficient to explain why the length of PR should be considered to be 19, not 5.
Answer:
A and B
16 times 13=208
18 times 18=324
Subtract those and you get 116