The figure that is not equivalent to 2¾ is 2¼ × 2½. That is option B.
<h3>Simplification of equivalent fractions</h3>
Simplification is a process that is used to make a fraction appear in its simplest forms.
The fraction given is = 2¾
The simplification of the fraction= 2^3/4 = 2
But simplification of 2¼ × 2½ is equal to;
2¼= 0.5
2½= 1
Therefore 2¾ is not equivalent to 2¼ × 2½ when simplified.
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To solve this problem, let us recall that the formula for
probability is:
Probability = total number of successful events / total
events
Where in this case, an event is considered to be successful
if the sum is 3 on the pair of six sided dice.
First, let us calculate for the total number of events. There
are 6 numbers per dice, therefore the total number of combinations is:
total events = 6 * 6 = 36
Next, we calculate for the total number of combinations
that result in a sum of 3. We can identify that there are only two cases that
result in sum of 3. That is:
1st case: first dice rolls 1, second dice
rolls 2
2nd case: first dice rolls 2, second dice
rolls 1
Hence, total number of successful events = 2. Therefore the
probability is:
Probability = 2 / 36 = 1 / 18 = 0.0556 = 5.56%
Answer:
30
Step-by-step explanation:
So we begin by assigning variables to each side with:
DE = x
EF = y
DF = z
Now we start listing a system of equations from what is given:
x+y+z=81
x=2y
x-4=z
Once we solve that with substitution, we get the result of:
x=34
y=17
z=30.
Since z is the length of DF, the length of DF is 30.
I hope this helped! :D
Answer:
$94.50
Step-by-step explanation:
Total No. of students = Lisa(1) + 17 classmates = 1+17 = 18
Money donated by 1 student = $5.25
Money donated by 18 Students = 18*5.25 = $94.50
