B) multiplication of improper fractions: 4/3 x 4/3
expressed as improper fraction: 16/3
product expressed as mixed number: 5 1/3
why: 4 x 4 = 16, keeping the denominator (3) is 16/3. 16 isn't a multiple of 3, the closest is 15, and 15 / 3 is 5, but we since we have 16, we have one left, so it'd be 5 1/3
c) multiplication of improper fractions: 7/3 x 3/2
expressed as improper fraction: 21/6
product expressed as mixed number: 3 3/6 = 3 1/2
why: 7 x 3 = 21, 2 x 3 is 6, combine it, 21/6. multiple of 6 that is closest to 21 is 18. 18 / 6 = 3. we have 3 numbers left over. (21 - 18 = 3) so it's the 3 that we get, plus the 3 that we have left, is 3 3/6
d) multiplication of improper fractions: 11/6 x 7/5
expressed as improper fraction: 77/30
product expressed as mixed number: 2 17/30
why: 11 x 7 = 77, 6 x 5 = 30, combine it, 77/30. 77 goes into 30 twice. (30 x 6 = 60, can't add another 30, because its more than 77) we have 17 numbers left over, (77 - 60 = 17) so it's 2 17/30. can't reduce 17/30 because 17 doesn't have any common factors with 30. hope i helped!
Answer:
Δ MNO ≅ ΔXYZ by AAS postulate.
Step-by-step explanation:
Given:
, 
, and YO = NZ.
Consider YO = NZ
Add OZ on both sides
YO + OZ = NZ + OZ
YZ = NO
Consider triangles Δ MNO and ΔXYZ.
Statement Reason
1. Given
2. Given
3. YZ = NO ∵ YO = NZ
Therefore, the two triangles Δ MNO and ΔXYZ are congruent to each other from AAS postulate as two corresponding angles and a corresponding side are equal to each other.
Answer:
The operation that reverses the effect of another operation. Example: Addition and subtraction are inverse operations. Start with 7, then add 3 we get 10, now subtract 3 and we get back to 7.
Step-by-step explanation:
Answer: 13%
Step-by-step explanation:
The formula to find the simple interest is given by :-
, where P is the principal amount, r is rate of interest () in decimal and t is the time ( in years).
Given : P = $19,100 , I=$9932.00 and t= 4 years
Substitute all the above values in the formula , we get
In percent , 
Hence, the rate of interest = 13%
