The simplification of the given mixed number expression is equal to 1 9/10.
To perform the division of mixed numbers 2 3/8 ÷ 1 1/4, follow these steps:
Convert the mixed numbers to improper fractions.
2 3/8 = (2 × 8 + 3) / 8 = 19 / 8
1 1/4 = (1 ×4 + 1) / 4 = 5 / 4
Take the reciprocal of the divisor (the second fraction) to turn the division into multiplication.
Reciprocal of 5 / 4 is 4 / 5.
Multiply the dividend (the first fraction) by the reciprocal of the divisor.
(19 / 8) × (4 / 5) = (19 × 4) / (8 × 5) = 76 / 40
Simplify the result if possible.
To simplify the fraction 76 / 40, divide both the numerator and denominator by their greatest common factor (GCF), which is 4.
76 ÷ 4 = 19
40 ÷ 4 = 10
The simplified fraction is 19/10.
Convert the improper fraction back to a mixed number (if needed).
19/10 can be written as 1 9/10.
Therefore , the answer of the simplification to 2 3/8 ÷ 1 1/4 is 1 9/10.
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The value of the variable "x" in expression "5x divided by 6 = 20" is 24.
To find the value of the variable "x" in the expression "5x divided by 6 = 20", we use algebraic-techniques.
To separate the variable "x," we multiply both sides of the equation by 6, the denominator of the fraction.
This cancels out the division on the left side, leaving us with 5x on the left side:
⇒ (5x divided by 6) × 6 = 20 × 6,
⇒ (5x/6) × 6 = 20 × 6,
Simplifying the equation:
⇒ 5x = 120
To solve for the variable "x," we divide both sides of equation "5x = 120" by 5:
⇒ (5x) / 5 = 120 / 5,
⇒ x = 24
Therefore, the required value of "x" is 24.
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The given question is incomplete, the complete question is
Find the value of "x" in the expression "5x divided by 6 = 20".
Answer:
y = (1/3)x + 7
Step-by-step explanation:
The slope of a line perpendicular to the given line y = -3x - 2 would have to be the negative reciprocal of the slope of the given line:
or, in other words,
the negative reciprocal of -3. That would be +1/3.
Starting with the slope-intercept form of the equation of a straight line, we have:
y = mx + b.
We substitute the coordinates of the given point, (-9,4), and the slope +1/3:
4 = (1/3)(-9) + b.
This simplifies to
4 = -3 + b, from which it can be easily seen that b = 7.
The desired line is y = (1/3)x + 7.
the answer is 205.888