Step-by-step explanation:
8(b+1)=-3(2+b)
8b+8=-6-3b
8b +3b = -6-8
11b = -14
b = -14/11
Answer:
$900
Step-by-step explanation:
a)Off given on purchasing a TV= 20%
20% on TV = $ 180
Let the original price of TV set $ x
According to question,
20% of x= $180
×x= $180
x = $ 180× 5
x= $ 900
Hence, Original price of TV set= $ 900
b) By second method,
20%= $180
1%= $ 9
100% = $900
Hence, the original price $ 900
Answer:
Therefore $98 is be charged a bus containing 30 people.
Step-by-step explanation:
Given that,
A state park charges an entrance fee based on the number of people in vehicle.
Let the entry fee for the vehicle be E and entry fee for each person be x.
Then
C= E+(P×x)
C= Total charge in $
E= entry fee for a vehicle
P=No. of person
x= Entry charge per person.
Given A car containing 2 people charged $14
C=$14, P=2
∴14= E+(2× x)
⇒E+2x=14.....(1)
Again A car containing 4 people charged $20
C=$20, P=4
∴20= E+(4× x)
⇒E+4x=20.....(2)
Subtract (1) from (2), we get
E+4x-(E+2x)= 20-14
⇒E+4x-E-2x=6
⇒2x=6
⇒x=3
Putting the value of x in equation (1)
E+(2×3)=14
⇒E=14-6
⇒E=8
Therefore E=$8 and x=$3
Next we check whether our assumption is correct or wrong. Putting the value of E and x for third case
Here P= 8
Therefore C= E+(P×x)
= 8+(8× 3)
=8+24
=$32
Therefore our assumption is correct.
Now C=? , P= 30
The charged for the 30 people is
C= $[8+(30×3)]
=$[8+90]
=$98
Therefore $98 is be charged a bus containing 30 people.
Answer:
A
Step-by-step explanation:
The volume of a prism can be found by multiplying the area of the base by the height. It is the formula V = B*h. Here B = 108. Substitute and solve.
V = 108*8 = 864
This is answer A.
Answer:
The answer is D.
Step-by-step explanation:
