a school has 415 third grade and 338 second graders how many more third graders are there than second graders?
2 answers:
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Answer:
2
Step-by-step explanation:
The question state that; the sum of a number, 1/6 of that number, 2 1/2 of that number, and 7 is 12 1/2. Find the number.
First, we need to interpret and represent this statement mathematically
Let n be the number.
The sum means 'addition'
1/6 of that number is 1/6 of n = 1/6 × n =
2 1/2 of that number is 2 1/2 of n = 2 1/2 × n = 5/2 × n =
So the question says that, when we add; ,
and 7 all together, the value is 12 1/2
That is;
+
+ 7 = 12 1/2
+
+ 7 =
( changing 12 1/2 to improper fraction will give
)
So we can now go ahead and solve for n
+
+ 7 =
subtract 7 from both-side of the equation
+
=
- 7
=
=
can be reduced to give us
=
Cross multiply
8n × 2 = 11× 3
16n = 33
Divide both-side of the equation by 16
=
(On the left-hand side of the equation, 16 will cancel-out 16 leaving us with just, while on the right-hand side of the equation 33 will be divided by 16)
n = =
Therefore the number is
Answer:
See Explanation
Step-by-step explanation:
The question has missing details. So, I'll solve using a general assumption.
Let one of the coordinates of the figure be
Let the scale factor be n
When dilated, the new figure is:
To return the image back to the original figure, the new scale factor mus be a reciprocal of the previous scale factor i.e.
So:
Substitute n(x,y) for A';
Take for instance:
-- scale factor
To get A from A', using the analysis above