Answer:
The slope of the given line and a line parallel to it is
5
2
.
Explanation:
Given:
5
x
−
2
y
=
11
is the standard form of a linear equation.
A line parallel to this line has the same slope. To determine the slope, solve for
y
to change the equation to slope-intercept form:
y
=
m
x
+
b
,
where:
m
is the slope and
b
is the y-intercept.
5
x
−
2
y
=
11
Subtract
5
x
from both sides.
−
2
y
=
−
5
x
+
11
Divide both sides by
−
2
.
y
=
−
5
−
2
x
+
11
−
2
Simplify.
y
=
5
2
x
−
11
2
The slope of the given line and a line parallel to it is
5
2
.
The example A. 3+5+7=15 is the write answer
For this question the answer is -3/2
The letters in the equation
Let’s make x = # of nickels. Then 3x = # of dimes and 3x+6 = # of pennies. A nickel is 5 cents, a dime is 10 cents and a penny is 1 cent.
The money she has should be .05(x) + .10(3x) + .01(3x+6) = 4.62 or to make it simpler: 5(x) + 10(3x) + 1(3x+6) = 462.
5x + 30x + 3x + 6 = 462
38x + 6 = 462
38x = 456
x = 12.
So she has 12 nickels (12 * $0.05 = $0.60), 36 dimes (36 * $0.10 = $3.60) and 42 pennies (42 * $0.01 = $0.42). $3.60 + $0.60 + $0.42 = $4.62.
