$16.67 would be the price of each pencil. You divide 50 by 3 and get 16.6 repeating so you round it up to 16.67
To find the intercepts, we can set the opposite variable equal to 0 and solve.
Let's find the x intercept first.
5x - 4(0) = -20
5x = -20
Divide both sides by 5.
x = -4
<h3>The x intercept is -4.</h3>
Now let's find the y intercept.
5(0) - 4y = -20
-4y = -20
Divide both sides by -4.
y = 5
<h3>The y intercept is 5.</h3>
Area = length X width
A = L(12 ft) x W(9 ft) but since the cost of carpet is given in square yards not square feet we need to convert
A = (12 ft)(1 yd/3 ft) x (9 ft)(1 yd/3 ft) 1 yard = 3 feet so 1 foot = 1/3 yard
A = 4 yd x 3 yd divide by 3 ft which cancels the original ft and leaves yd's
A = 12 square yards
Cost = Area x price per yard
Cost = 12 sq yd X $35.00/ sq yd multiply and the sq yd's cancel leaving just cost in dollars
Cost = $420.00
Answer:
1) gradient (00) (-2 4) = y2-y1 / 2-1 = 4/-2 = -2 m = -2/1 means = m = -2 (negative slope) 2) gradient y2-y1 / x2-x1 = 3-0 / 2-0 = 3/2 = (1 1/2)/1 m = 1 1/2 (positive slope) we use the formula y-values divided by the change in the x-values. The equation of the gradient each goes like this 1) y = -2x as y is at origin nothing else to add The equation of the gradient each goes like this 2) y = 1 1/2x The equation of the point formula 1) we take the y -y1 = m (x +x 1) = y-0 = -2x (x +0) (as m = -2) y = -2(x +0) and The equation of the point formula 2) y - 0 = m ( x +x1) y - 0 = 1 1/2( x +0) = y = 1 1/2( x +0)
