Answer:
8482.3 inches
Step-by-step explanation:
You have to find the circumference of the wheel.
If the radius is 13.5, the diameter is 27 (13.5 x 2).
C = πd
C = π × 27
C = 27π
100 rotations means 27π × 100 = 2700π
= 8482.3 inches
Answer:
6x² + x - 12 = (2x + 3) (3x - 4)
Step-by-step explanation:
Factor 6x² + x - 12 by grouping
we need to rewrite the middle term as a sum of two terms whose product is (6* −12) = −72 and whose sum is 1
The middle term = x = 9x - 8x
6x² + x - 12
= 6x² + 9x - 8x - 12 Grouping the first two terms and the last two terms
= (6x² + 9x) + ( - 8x - 12)
From the first two terms take 3x as a common and from the two terms take (-4) as a common
= 3x ( 2x + 3) -4 (2x + 3)
Take (2x + 3) as a common
= <u> (2x + 3) (3x - 4)</u>
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
1) choice 3
2) commutative property
3) 12x + 8x -3x
common factor of x
x(12+8-3)
or
4x(3+2)-3x
Step-by-step explanation:
