Put the number that the decimal is over the place that it is in
example
.5
every space after the decimal is multiplied by 10
tenths place 0.1
hundreths 0.01
thousanths 0.001
etc
so .5 is in the tenths place so the fraction would be 5/10
the decimal is now converted into a fraction
another example
.07 is in the hundreths so it would be 7/100
final example
.25 is in the hundredths place since the last number lands on the hundreths column
it would be 25/100
if possible you can simplify if that is what is needed
Answer:
See below.
Step-by-step explanation:
a = 4
b = 4
c = 8
d = 16
e = 12
f = 36
g = 64
Answer:
Step-by-step explanation:
To simplify 7/√x, we need to rationalize:
When we multiply the 2, we should get our answer:
2.75 cups were in the punch bowl before felicia refilled it .
<u>Step-by-step explanation:</u>
Here we have , the punch bowl at felicia's party is getting low so she adds 12 cups of punch to the bowl two guests serve themselves 1.25 cups and 2 cups and 2 cups of punch the punch bowl now contains 11.5 cups of punch . We need to find how many cups were in the punch bowl before felicia refilled it let n=number of cups bowl before felicia refilled it. Let's find out:
Initially we have , n number of cups of punch ! Than 12 additional cups were added , given below is the equation framed for the number of cups present:
⇒
Now , After this 1.25 and 2 cups were served by guests themselves and remaining cups were 11.5 i.e.
⇒
⇒
Equating both we get :
⇒
⇒
⇒
Therefore , 2.75 cups were in the punch bowl before felicia refilled it .
Answer:
D. y[9]=15.5410
Step-by-step explanation:
Let's find the answer by using the following observation:
Notice that the y-value differences between consecutives obstacles are:
(y-value from obstacule 2) - (y-value from obstacule 1)= 7.975 - 7.25 = 0.725
which is equal to:
(y-value from obstacule 1) / 10 = 7.25 / 10 = 0.725
So, an equation can be written as follows:
y[i+1]=y[i]+y[i]/10 let's find the other values:
y[2]=7.25+(7.25/10)= 7.975
y[3]=7.975+(7.975/10)= 8.7725
y[4]=8.7725+(8.7725/10)= 9.64975
Notice that we obtained the same y-values using the formula as the ones reported. So using the same formulas we can calculate:
y[9]=15.5410
In conclusion, the general equation is y[i+1]=y[i]+y[i]/10 with a starting point (1, 7.25) and y[9]=15.5410. So the answer is D.