Remark
The equation is job1/ time + job2/time = job3/time
Discussion
job one is the time it takes one of the workers to complete the job.
job two is the time it takes the other workers to complete the job
job three is the time it takes to do the job together.
Givens.
Let Marcus's time = m
Let Tony's time be =t
Let their together time = t1
Equation Substitution and solution.
1/m + 1/t = 1/t1
1/6 + 1/4 = 1/t1 The common denominator on the left is 12.
2/12 + 3/12 = 1 / t1
5/12 = 1/t1 Cross multiply.
5*t1 = 12 Divide by 5
t1 = 12/5
t1 = 2 2/5
t1 = 2.4 hours
Cost
1 hour = 43 dollars for labor.
2.4 hours = x dollars for labor.
1*x = 43 * 2.4
x = 103.2 dollars. <<<<< Answer
Given:
Dimensions of rectangular prism X are twice the dimension of rectangular prism Y.
prism X = 2(prism Y)
Surface area of X = 2(Surface area of Y)
100 square inches = 2(Surface area of Y)
100 square inches ÷ 2 = Surface area of Y
50 square inches = Surface area of Y
Dimensions of Prism Z are three times the dimensions of rectangular prism Y.
Prism Z = 3(Prism Y)
Surface Area Z = 3(50 square inches)
Surface Area of Z = 150 square inches
Answer:
your answer will be 1
Step-by-step explanation:
We are given a rain gutter made from folding a 12 inch wide aluminum sheet to an angle theta. The area of the opening is expressed as A(Θ) = 16 sin Θ (cos Θ + 1) where <span>Θ = 60°. we can just substitute directly the angle in degrees mode in the calculator and the answer is equal to 20.78 inches2.</span>
Answer:
b
Step-by-step explanation: