Lets call s the number of scented candles sold, and u the number of unscented candles sold and write as an equation the info provided in the problem:
16s + 10u = 400
s + u = 28
that is, the first equation synthesize the fact that the amount of unscented candles times its quantity plus the amount of scented candles times its quantity equals $400
and the second equation synthesize the fact that the number of scented and unscented candles add up to 28
Now you just need to solve the system of two linear equations with two unknowns to get the specific value of the scented and unscented candles.
Answer:
Width =9 cm
Length =6 cm
Step-by-step explanation:
Let x be width, then length is x − 3
Let area be E. Then we have: E = x ⋅ (x −3)
54= x^2-3x
x^2-3x-54=0
We then do the Discriminant of the equation:
D=9+216
D=225
X1=3+15 over 2. which is 9
X2= 3-15. over 2. which is -6 Which is declined, since we can't have negative width and length.
Therefore x is 9. So width
So width = x = 9cm and length is x-3 = 9-3cm=6 cm
U r going to subtract 3 from each side of the equation....leaving you with :
x^2 + 2x = -3
Answer:
297 and 298
Step-by-step explanation:
We are given a number 1189.
We have to divide this number by 4 and find the quotient that is the two estimates between which the quotient lies.
By rule for divisibility of 4, we have last two digits 8 and 9 , i.e.89 is not divisible by 4.
Hence 1189 is not divisible by 4.
But the greatest below number divisible by 4 is 1188 and
the least above number divisible by 4 is 1192
i.e. the quotients will lie between 1188/4 and 1192/4
i.e. lie between 297 and 298.
