Answer:
A is the cheapest deal.
Step-by-step explanation:
find unit rate; cost / quantity
20.20 / 10 = $2.02 per gallon
26.04 / 12 = $2.17 per gallon
28.24 / 24 = $2.01 per gallon
30.45 / 25 = $2.03 per gallon
Xterm correct answer is =11
When you have ratios, and some unknowns, you can create complex fractions from them. Bring them to the same denominator, and solve for x.
Example - we have this proportion:
2-x
5-45
And we can change it into fraction:
\frac{2}{5}=\frac{x}{45}
\frac{2*9}{5*9}=\frac{x}{45}
\frac{18}{45}=\frac{x}{45}
18=x
In case of more complex fractions it may come in handy.
Answer: 80
Step-by-step explanation:
Let the number of students be represented by x
Let the number of faculty be represented by y.
Based on the information in the question, we can form an equation which will be:
x + y = 100 ..... i
10x + 25y = 1300 ....... ii
From equation i,
Make y the subject of the formula
y = 100 - x ...... iii
Put the value of equation iii into ii
10x + 25y = 1300
10x + 25(100 - x) = 1300
10x + 2500 - 25x = 1300
10x - 25x = 1300 - 2500
-15x = -1200
x = 1200/15
x = 80
There were 80 students who attended the museum opening
9514 1404 393
Answer:
2.83 for log2(x)
15.81 for log(2x)
Step-by-step explanation:
We can get the log function by itself by subtracting the constant and dividing by the coefficient.
5 +6·log2x = 14
6·log2x = 9 . . . . . . . subtract 5
log2x = 1.5 . . . . . . . divide by 6
At this point, we're not sure what is meant by log2x.
log₂(x) = 1.5 ⇒ x = 2^1.5 ≈ 2.83
log(2x) = 1.5 ⇒ x = (10^1.5)/2 ≈ 15.81
