4w = 48
Divide each side by 4. (division property of equality)
w = 12
Let x be the amount of nickels and y be the amount of quarters in a jar. Totally there are 87 coins, then x+y=87.
Since nickel is 5 cent coin and quarter is 25 cent coin, then 5x+25y=1255 ($12.55=1255 cents). Solve this system:x=87-y and 5(87-y)+25y=1255.
435-5y+25y=1255,
25y-5y=1255-435,
20y=820,
y=820÷20,
y=41,
x=87-41=46.
Answer: 46 nickels and 41 quarters.
Answer:
The angle measures of trapezoid PQRS are equal to the corresponding angle measures of trapezoid P'Q'R'S'.
Step-by-step explanation:
Answer:
y = -2x - 5
Step-by-step explanation:
An equation of a line in slope-intercept is y=mx + b.
x and y are points on the line.
m is the slope.
b is the y-intercept.
To find this equation, we will need to find m and b.
When lines are parallel, they have the same slope.
A line parallel to y = -2x + 3 has a slope of -2.
m = -2
To find b, substitute into the equation a point on the line (-2, -1) and m = -2.
A point is in the form (x, y). So x = -2, y = -1.
y = mx + b
-1 = (-2)(-2) + b Simplify by multiplying the (-2)(-2)
-1 = 4 + b Subtract 4 from both sides to isolate b
-5 = b
b = -5 Writing the variable on the left side is standard formatting
Since we now know the y-intercept, b= -5, and the slope, m = -2, substitute them into y=mx + b to get the equation of the line.
y = -2x - 5
