Answer:
lies between 163.245 and 199.975
Step-by-step explanation:
Given
2 digit = 4#
Required
The range of
Let
--- the smallest possible value of #
So:
Let
--- the largest possible value of #
So:
<em>Hence, </em><em> lies between 163.245 and 199.975</em>
The equation of the line in point-slope form is given by:
Where,
(xo, yo): point that belongs to the line
m: slope of the line
The slope is given by:
Substituting values:
Rewriting:
Now we choose an ordered pair:
Substituting values we have:
We now rewrite the equation in its standard form:
Where,
b: cut with the y axis.
We have then:
Answer: point-slope form: or
standard form 
Answer:
2nd option is the correct answer
Step-by-step explanation:
3 times a number decreased by 6 is - 2
Let n = number of nickels, and p = number of pennies.
The number of coins is 25, so we get this equation.
n + p = 25
The value of the coins is 0.05 per nickel, and 0.01 per penny.
0.05n + 0.01p = 0.73
Now you have a system of equations.
n + p = 25
0.05n + 0.01p = 0.73
Solve the first equation for n:
n = 25 - p
Now substitute into the second equation.
0.05(25 - p) + 0.01p = 0.73
1.25 - 0.05p + 0.01p = 0.73
-0.04p = -0.52
p = 13
There were 13 pennies.
Now we substitute 13 for p in n + p = 25 to find out the number of nickels.
n + 13 = 25
n = 12
There are 13 pennies and 12 nickels.
Check: 13 pennies and 12 nickels does total 25 coins.
13 * 0.01 + 12 * 0.05 = 0.13 + 0.60 = 0.73
The value is $0.73.
Our answer is correct.
Answer:
-53, -24, 0, 18
Step-by-step explanation:
Hope this helps :)
