9514 1404 393
Answer:
121/14 or 8 9/14
Step-by-step explanation:
The quotient of 1/8 and 1/4 is ...
(1/8)/(1/4) = (1/8)(4/1) = 4/8 = 1/2
The product of 2 2/3 and 3 3/7 is ...
(2 2/3)(3 3/7) = (8/3)(24/7) = (8·24)/(3·7) = 64/7
Subtracting the first result from the second gives ...
64/7 -1/2 = (128 -7)/14 = 121/14 = 8 9/14
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<em>Additional comment</em>
When subtracting fractions with denominators that have no common factors, I find it useful to make use of the formula ...
![\dfrac{a}{b}-\dfrac{c}{d}=\dfrac{ad-bc}{bd}](https://tex.z-dn.net/?f=%5Cdfrac%7Ba%7D%7Bb%7D-%5Cdfrac%7Bc%7D%7Bd%7D%3D%5Cdfrac%7Bad-bc%7D%7Bbd%7D)
In this case, that gives us (64·2 -7·1)/(7·2) = (128 -7)/14.
The probability of Julia picking 49 is 1/100 ( one number out of 100)
The probability of Shelly picking 49 is also 1/100 ( one number out of 100)
The probability of both picking the same number is
1/100 x 1/100 = 2/100 = 1/50 = 0.02 = 2%
Answer:
<em>D. In a parallelogram, opposite angles are congruent.</em>
Step-by-step explanation:
In each case, she measures two opposite angles, and they are congruent.
D. In a parallelogram, opposite angles are congruent.
Answer:
98 dollars
Step-by-step explanation:
490/5=98
Answer:
Step-by-step explanation:
<u>Given equation:</u>
<u>As per equation we can see that:</u>
- y - total cost
- x - number of lessons
- 30 - cost per lesson
- 25 - registration fee