Answer:
$500
Step-by-step explanation:
let x = price of the dress before reductions
If the price is reduced by 60%, the price would be (100% - 60%) = 40%
Price after first reduction= 0.4x
Price after second reduction = 0.4(0.4x)
0.16x = $80
Divide both sides by 0.16
x = $500
First seat: 14 candidates to seat
Second seat: 13 candidates to seat
Third seat : 12 candidates
4th seat: 11 candidates
5th seat: 10 candidates
6th seat: 9 candidates
Number of different variations: 14*13*12*11*10*9 = 2,162,160 different ways,
Observe that is 14P6 = 14! / (14-6)! = 14! / 8! = 14*13*12*11*10*9*8! / 8! =
= 14*13*12*11*10*9
Answer: 2,162,160
What do the two variables in this system represent?
the two variables represent the number of hot dogs or soft drinks you will get.
Write a system of equations to represent the model.
let s = soft drinks and let h = hot dogs
3s+2h=7.70
2s+h=4.55
What is the cost of 1 soft drink? <u>$1.4</u>
What is the cost of 1 hot dog? <u>$1.75</u>
Solving for the above two questions
<u>solve the second eqaution for h:</u>
2s+h=4.55
subtract 2s
h=4.55-2s
<u>substitute this into the first equation:</u>
3s+2(4.55-2s)=7.70
distribute the 2
3s+9.1-4s=7.70
add like terms
-s+9.1=7.70
subtract 9.1
-s=-1.4
divide by -1
s=1.4
<u>substitute into the equation for h:</u>
h=4.55-2s
h=4.55-2(1.4)
h=4.55-2.8
h=1.75
Answer:
9 years old.
Step-by-step explanation:
Since the ages of all of these students are being represented in relation to the middle student's age then we can create formulas for each student and then apply them to the formula for the sum of their ages and solve for the middle child's age (M) like so... (oldest child's age is represented by variable O and youngest child's age is represented by variable Y)
O = M + 6
Y = M - 3
30 = (M+6) + M + (M-3) ... combine like terms
30 = 3M + 3 ... subtract 3 from both sides
27 = 3M ... divide both sides by 3
9 = M
Now we know that the middle child is 9 years old.
