Answer:
Uhh...
Step-by-step explanation:
You didn't finish your question, so I'll calculate the next three years.
After 1: 129.37
After 2: 133.90
After 3: 138.58
Answer:
Step-by-step explanation:
<h2> (-1 3/5) / (-2/3) =
</h2><h2>
=
</h2>
Answer: 9 days
Step-by-step explanation:
Let x represent James' daily wage
James' daily wage was $5 more than Davis's. It means that Davis's daily wage will be $(x-5)
Let y represent number of days that James worked. James worked 3 days less than David. It means that the number of days that Davis worked would be (y + 3) days
they earned $180 each. Total amount of money earned by either of of them is the product of wage and the number of days worked.
Since James earned $180, then
180 = xy - - - - - - - - 1
Since Davis also earned $180, then
180 = (x - 5)(y + 3)
xy +3x -5y -15 = 180 - - - - - - - - 2
Substituting xy = 180 into equation 2
It becomes
180 + 3x - 5y -15 = 180
3x - 5y = 180 - 180 + 15
3x - 5y = 15 - - - - - - -3
From equation 1, x = 180/y
Substituting x = 180/y into equation 3, it becomes
3 × 180/y - 5y = 15
540 - 5y^2 = 15y
5y^2 + 15y -540 = 0
Dividing through by 5
y^2 + 3y -108 = 0
y^2 + 12y - 9y -108 = 0
y(y + 12) - 9(y + 12) = 0
y + 12 = 0 or y - 9 = 0
y = -12 or y = 9
Since the number of days cannot be negative, then,
Number of days that James worked will be 9 days
1. a b c
2. a b c
3. a b c
4. a b c
5. a b c
then she eliminated 1 choice in 1 and 2, say as follows
1. b c
2. a b
3. a b c
4. a b c
5. a b c
Probability of answering correctly the first 2, and at least 2 or the remaining 3 is
P(answering 1,2 and exactly 2 of 3.4.or 5.)+P(answering 1,2 and also 3,4,5 )
P(answering 1,2 and exactly 2 of 3.4.or 5.)=
P(1,2,3,4 correct, 5 wrong)+P(1,2,3,5 correct, 4 wrong)+P(1,2,4,5 correct, 3 wrong)
also P(1,2,3,4 c, 5w)=P(1,2,3,5 c 4w)=P(1,2,4,5 c 3w )
so
P(answering 1,2 and exactly 2 of 3.4.or 5.)=3*P(1,2,3,4)=3*1/2*1/2*1/3*1/3*2/3=1/4*2/9=2/36=1/18
note: P(1 correct)=1/2
P(2 correct)=1/2
P(3 correct)=1/3
P(4 correct)=1/3
P(5 wrong) = 2/3
P(answering 1,2 and also 3,4,5 )=1/2*1/2*1/3*1/3*1/3=1/108
Ans: P= 1/18+1/108=(6+1)/108=7/108
The table gives the different combinations of stamps Karl has
the first option says that
a. The total number of stamps is 25.
according to this the addition of stamps for each combination should be 25
1st combination is 18 + 17 = 35
therefore this statement is wrong as the addition of stamps is 35 stamps
b. The total value of the stamps is $18.75.
lets check the first combination
18 x $ 0.45 + 17 x $ 0.65 = 8.1 + 11.05 = $19.15
so this statement too is wrong
c. The total number of stamps is 35.
as calculated above we know that the sum of the stamps in the first combination is 35
so lets check for the other combinations
20 + 15 = 35
22 + 13 = 35
25 + 10 = 35
so the answer is 35
this statement is correct
d.The total value of the stamps is $19.15
lets check the value for the third combination
22 x 0.45 + 13 x 0.65 = 9.9 + 8.45 = $18.35
this value isnt equal to $ 19.15
therefore this statement too is wrong
correct answer is C
