Marcia started work at 7.32 and finished work at 3.43. In total she worked 8 hours and 11 minutes.
Convert the 11 minutes into decimal form:
11 minutes / 60 minutes in an hour = 0.18 (rounded)
Multiply her hourly rate by her hours worked:
8.18*6.75 = $55.125 (you can round this up or down).
Answer:
y = 5x
Step-by-step explanation:
The equation for direct variation is y = kx, where k is the factor of variation. So we know that y and x must fit into this formula.
They've given us a y and x value to solve for k.
y = kx
15 = 3k
15/3 = k
<u>k = 5</u>
Plug k back into our equation.
y = 5x
This is the concept of algebra, so solve for x we proceed as follows;
4/x-4=x/(x-4)-4/3x
(4-4x)/x=(3x^2-4(x-4))/(3x(x-4))
(4-4x)/x=(3x^2-4x+16)/(3x^2-12x)
cross-multiplying the expression we get:
(4-4x)(3x^2-12x)=x(3x^2-4x+16)
-12x^3+60x^2-48x=3x^3-4x^2+16x
this can be simplified as:
-15x^3+64x^2-64x=0
since the above polynomial is of degree 3, the number of solutions are 3.
Answer:
Pounds of apple used = 10,078.20
Pounds of taffy = 144.80
Step-by-step explanation:
Assume :
x = pound of taffy mixture
y = pounds of apple mixture
Total :
x + y = 10,223 - - - (1)
Proportion of apple to taffy
x / y = 1 / 69.6
Cross multiply :
y = 69.6x
(1) becomes :
x + 69.6x = 10223
70.6x = 10223
x = 10223 / 70.6
x = 144.80169
Put x = 144.80169 in
y = 10223 - x
y = 10223 - 144.80169
y = 10078.19831
Pounds of apple used = 10,078.20
Pounds of taffy = 144.80