How 7/3 compares to 2 1/3

Mathematics

1 answer:

alekssr [168]3 years ago

3 0

7/3 written as a mixed fraction is 2 1/3

So

7/3 = 2 1/3

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Convert 2x - 3y + 1 = 0 to slope-intercept form

Dafna11 [192]

Slope-intercept form is y=mx+b. our goal is to get y by itself on one side of the equation.

2x-3y+1=0
2x+1=3y
3y=2x+1
y=(2/3)x+1/3

That is the same function but in slope-intercept form.

6 0

3 years ago

In the diagram below, PQ and RS are parallel. Based on the angle measures in the diagram, what is the value of X?

Butoxors [25]

Answer:

x would be equal to 70 grades

Step-by-step explanation:

The angle QRS is equal to 180 - 130 = 50 grades.

We add up that with the other 60 grades on the left, and we encounter ourselves with a simple equation:

60 + x + 50 = 180

x = 70

Hope this was helpful

4 0

3 years ago

The water level in a lake was monitored and was noted to have changed -2 1/3 inches in one year. The next year it was noted to h

Diano4ka-milaya [45]

Answer:

The total change in water level over the past 2 years is $\displaystyle -4 \frac{1}{6}$ .

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Fractions

Proper and Improper

Numbers

Least Common Multiple (LCM)

Step-by-step explanation:

Step 1: Define

Identify

Year 1 water change: $\displaystyle -2 \frac{1}{3}$

Year 2 water change: $\displaystyle -1 \frac{5}{6}$

Step 2: Find Total Water Change

[Set up] Add yearly water changes: $\displaystyle -2 \frac{1}{3} + -1 \frac{5}{6}$
[Fractions] Convert to improper: $\displaystyle \frac{-7}{3} - \frac{11}{6}$
[Fraction] Rewrite [LCM]: $\displaystyle \frac{-14}{6} - \frac{11}{6}$
[Order of Operations] Subtract: $\displaystyle \frac{-25}{6}$
[Fraction] Convert to proper: $\displaystyle -4 \frac{1}{6}$