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To find what the reciprocal is, you have to turn a proper fraction upside down. For example, the reciprocal of 2/8 would be 8/2. However, when you have an improper fraction, you must first turn it into an improper fraction. To turn a mixed number into an improper fraction, multiply the denominator by the whole number and add the numerator. The denominator will stay the same. For example, to turn 2 3/8 into an improper fraction, multiply 8 by 2 and add 3. That equals to 19. The denominator will stay the same. So, the improper fraction for 2 3/8 is 19/8. Now, turn 19/8 into a reciprocal. 19/8 as a reciprocal would be 8/19.
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The reciprocal of fraction 2(3/8) is 8/19.
We have,
To find the reciprocal of a number, we invert the fraction by swapping the numerator and denominator.
Given the number 2 3/8, we first convert it to an improperfraction:
2 3/8 = (2 * 8 + 3) / 8 = 19/8
To find the reciprocal, we invert the fraction by swapping the numerator and denominator:
Reciprocal = 8/19
Therefore,
The reciprocal of fraction 2(3/8) is 8/19.
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Answer:
14 inches
Step-by-step explanation:
x = number of hours
y = depth of the snow on the ground
Formula:
y = ax + b
Informations: when the monitors started, there are a quantity of inches on the ground. 2 hours later, there are 10 inches. Then:
10 = 2a + b
2 hours later, there are 12 inches:
4a + b = 12
a and b, in both equations, are the same value. Then:
{2a + b = 10
{4a + b = 12
{- 2a - b = - 10
{4a + b = 12
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2a = 2
a = 1
2a + b = 10
2.1 + b = 10
2 + b = 10
b = 10 - 2
b = 8
Then, the linear function rule is:
y = x + 8
At noon, x = 0.
At 6 P.M, x = 6
Changing x for 6 in linear function rule:
y = 6 + 8
y = 14
I hope I've helped you.