You can write three equations in the numbers of nickels (n), dime (d), and quarters (q).
n + d + q = 23 . . . . . . . there are 23 coins total
0n +d -q = 2 . . . . . . . . .there are 2 more dimes than quarters
5n +10d +25q = 250 . .the total value is $2.50
The collection includes 11 nickels, 7 dimes, and 5 quarters.
_____
I used the matrix function of my calculator to solve these equations. You can find q by subtracting from the last equation five times the sum of the first two equations.
(5n +10d +25q) -5((n +d +q) +(d -q)) = (250) -5(23 +2)
25q = 125 . . . . . . . simplify
q = 5
From the second equation,
d = q +2 = 7
And from the first,
n = 23 -5 -7 = 11
Answer:
$1000.00
Step-by-step explanation:
Answer:
A. True
Step-by-step explanation:
A generalized slope-intercept equation of a line is of the form:
Where, 'm' is the slope of the line and 'b' is the y-intercept of the line.
The slope is the rate of change of 'y' with respect to changing 'x'. The slope of a line can be positive or negative.
If 'y' increases with 'x', slope is positive. If 'y' decreases with 'x', slope is negative.
In the above equation, the term that is multiplied to 'x' is called the coefficient of 'x'. Here, 'm' is multiplied to 'x'.
Therefore, the coefficient of 'x' in the above equation is 'm'. Thus, from the generalized equation, one can conclude that the coefficient of 'x' in the equation represents the slope of the line.
Hence, the statement is TRUE.
Answer:
Step-by-step explanation:
Answer:
10.5 gallons
Step-by-step explanation:
48000 cm3 = 48 litres (1 litre = 1000 cm3)
Therefore if 1 litre = 1.75 pints then 48 litres = 48 x 1.75 = 84 pints.
Finally if 8 pints = 1 gallon
then 84 pints = (84 x 1) / 8 = 10.5 gallons
