Answer:
7. -37/36 or -1 1/36
8. -3/10
9. 1/24
10. -118/21 or -5 13/21
11. 97/12 or 8 1/12
12. 49/8 or 6 1/8
Step-by-step explanation:
To subtract fractions, they must have the same denominator. The common denominator will be the LCM (lowest common multiple) of the two denominators. Then, combine the fractions and simplify.
7. Find a common denominator
Combine the fractions
Answer. Already in lowest terms.
Keep a negative number. 37 goes into 36 one time, leaving 1 remainder (becomes numerator)
8. Find a common denominator
Combine the fractions
Answer in simplest form.
9. Find common denominator
Combine the fractions
Answer in simplest form
10. Translate to improper fraction
Multiplied each whole number with base, added to numerator
Found common denominator
Combined fractions
Answer in improper form
Answer as a mixed number
11. Convert to improper fraction
Two minuses make a plus
Find common denominator
Combined fractions
Answer as improper fraction
Answer as mixed fraction
12. Convert to improper fraction
Find common denominator
Combined fractions
Answer as improper fraction
Answer as mixed number
Answer:
Step-by-step explanation:
<u>Given line:</u>
<u>Convert the equation into slope-intercept form:</u>
- x - 4y = 20
- 4y = x - 20
- y = 1/4x - 5
It has a slope of 1/4.
Parallel lines have equal slopes.
<u>Find the parallel line lines that passes through the point (2, - 5):</u>
<u>Substitute x and y values to work out the value of b:</u>
- - 5 = 1/4*2 + b
- - 5 = 1/2 + b
- b = - 5 - 1/2
- b = - 11/2
<u>The line is:</u>
<u>Covert this into standard form:</u>
- y = 1/4x - 11/2
- 4y = x - 22
- x - 4y = 22
Answer:
It is the branch of math that is in charge of dealing with letters known as variables.
Step-by-step explanation:
These variables are used to fill in the place of missing numbers in an equation or solution.Algebra is widely used all over the world in schools.
C=dπ and r+r=d so 3+3=6 and 6π≈18.84 so the circumference would be 18.84
Answer:
18
Step-by-step explanation:
2x9=18