Answer:
Kasey paid: $13.50
Sue paid:$10.60
Togethee they paid: $24.10
Step-by-step explanation:
Convert the sales tax percentage to a decimal by moving the decimal point two places to the left or you can divide it by 100.
This should give you .06
Multiply .06 with the original cost before sales tax.
Add this amount to the original cost to get your answer
Answer:
97.98
Step-by-step explanation:
The area of the parallelogram PQR is the magnitude of the cross product of any two adjacent sides. Using PQ and PS as the adjacent sides;
Area of the parallelogram = |PQ×PS|
PQ = Q-P and PS = S-P
Given P(0,0,0), Q(4,-5,3), R(4,-7,1), S(8,-12,4)
PQ = (4,-5,3) - (0,0,0)
PQ = (4,-5,3)
Also, PS = S-P
PS = (8,-12,4)-(0,0,0)
PS = (8,-12,4)
Taking the cross product of both vectors i.e PQ×PS
(4,5,-3)×(8,-12,4)
PQ×PS = (20-36)i - (16-(-24))j + (-48-40)k
PQ×PS = -16i - 40j -88k
|PQ×PS| = √(-16)²+(-40)²+(-88)²
|PQ×PS| = √256+1600+7744
|PQ×PS| = √9600
|PQ×PS| ≈ 97.98
Hence the area of the parallelogram is 97.98
Answer:
The probability that Alice wins the game=
Step-by-step explanation:
We are given that Alice and Bob are playing a game .
We have to find the probability that Alice wins the game .
If Alice win when she gets head and lose when she gets tail.Bob wins when she gets tail and she lose when she gets head.
Total results in a coin=Head, tail=2
Number of head in a coin=1
Number of tail in a coin= 1
Probability is defined as the possibility of an event that occurred
The probability that Alice wins the game=
The probability that Alice wins the game=
The probability that Alice wins the game=
1/2×4=4/8
1/8=1/8
1/4×2=2/8
so 4/8+2/8=6/8
and 6/8+1/8=7/8
so 7/8 ribbons will be collected
Answer:
14 students
Step-by-step explanation:
Given
Let:
read a book
watched TV
So, we have:
-- total
Required
Students that did both (x)
This is calculated using:
So, we have:
This gives:
Open brackets
Collect like terms
<em>Hence, 14 students did both</em>
