We will start off by simplifying 4/8 to 1/2
then we will multiply the fractions because it says "of"
1/2 × 1/6=1/12
therefore the answer is C. 1/12
Answer:
24
Step-by-step explanation:
75/3 is equal to 25... So, in theory, if you multiply 8 by 3, you should get 24. To check that: 75/24 = 25/8
Answer:
x + y = 60 and 1.55x + 1.4y = 88.20 and the solution is x = 32 and y = 28.
Mr. Sanchez’s class earned more money by $10.4.
Step-by-step explanation:
Mr. Sanchez’s class sold fruit pies for $1.55 each and Mr. Kelly’s class sold bottles of fruit juice for $1.40 each.
Let the number of sold fruit pies is x and bottles of fruit juice is y.
So, from the given condition we can write
x + y = 60 ........ (1)
⇒ 1.4x + 1.4y = 84 ....... (2) and
1.55x + 1.4y = 88.20 ........ (3)
Now, solving equations (2) and (3) we get (1.55 - 1.4)y = (88.2 - 84)
⇒ y = 28
And from equation (1) we get x = 60 - 28 = 32.
Therefore, Mr. Sanchez’s class earned more money. (Answer)
Now, this class have earned $(32 × 1.55 - 28 × 1.4) = $10.4 more. (Answer)
Step-by-step explanation:
The value of k in the equation g(x) = f(x) + k comes out to be 8.
How the vertical shifting of a graph takes place?
If the graph of a function f(x) is shifted vertically by k units, f(x) becomes f(x)+k.
From the diagram, we can say that graph of f(x) has been shifted vertically by 8 units
If we shift f(x) vertically by 8 units f(x) becomes f(x)+8 and also coincides with the graph of g(x).
So, g(x) = f(x) + 8........(1)
Comparing (1) and g(x) = f(x) + k, we get k=8.
Hence, the value of k in the equation g(x) = f(x) + k comes out to be 8.
20100 = 16000 * (1.02)^ t
20100/16000 = 1.02^t
1.25625 = 1.02^t
log 1.25625 = t * log 1.02
t = log 1.25625 / log 1.02
= 11.5
