Let the number be x.
First student increased the number by 23, therefore
⇒ x + 23
Second student decreased the number by 1, therefore
⇒ x - 1
The first student's result was 7 times greater than the result of the second student's, therefore
⇒ x + 23 = 7(x - 1)
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Solve for x:
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x + 23 = 7( x- 1)
x + 23 = 7x - 7
6x = 30
x = 5
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Answer: The number on the board is 5.
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Answer:

Step-by-step explanation:
Given 
1. Find the difference 

This complex number has real part
and imaginary part 
2. The modulus of complex number z is

Answer: On Monday the town got 2 3/4 (2.75) inches of snow.
On Tuesday it got 1 1/2 (1.5) times as much: 2.75 x 1.5 = 1.375 (inch)
⇒ On Tuesday the town got 1.375 inch of snow.
On Wednesday it got 7/8 (0.875) inch of snow.
After Monday, Tuesday and Wednesday, the town got:
2.75 + 1.375 + 0.875 = 5 (inches of snow)
For the rest of the week, the town got:
15 1/2 - 5 = 10 1/2 = 10.5 (inches of snow)
Step-by-step explanation: hope it helped :))
In this question, the interest rate is 0.02% and you need to have $9.99 interest to cover the fee. To find the bank account needed, you need to divide the target interest value with the interest rate. The calculation would be:
interest = bank account * interest rate
$9.99 = bank account * 0.02%
bank account = $9.99/ 0.02% (don't forget the % mean 1/100)
bank account = $49,950
Answer:
1. y = -3x + 5
2. y = 1/4x - 2
Step-by-step explanation:
y=mx+b
1. 5 = -3(0) + b, so b = 5
y = -3x + 5
2. (-2-(-1))/(0-4) = -1/-4 = 1/4
-2 = 1/4(0) + b, so b = -2
y = 1/4x - 2