20. if a contractor pays an average wage of $20.00 per hour and wants to make a 15% mark - up on the cost of…

20. if a contractor pays an average wage of $20.00 per hour and wants to make a 15% mark - up on the cost of labour, what will the contractor charge as an average labour cost on contracts?\na. $20.30\nb. $21.50\nc. $23.00\nd. $26.00\nthis question is applicable to cluster 3, cluster 4, cluster 5.\n21. what is the circumference of a circle with a diameter of 50 mm?\na. 78.5 mm\nb. 157.0 mm\nc. 78.5 cm\nd. 157.0 cm\nthis question is applicable to cluster 3, cluster 4, cluster 5.\n22. 5/8 divided by 1/2 equals\na. 1 1/4\nb. 3/8\nc. 1/4\nd. 3/16\nthis question is applicable to cluster 1.\n23. if 3(y + 3y)=12, solve for y.\na. 2.0\nb. 1.5\nc. 1.0\nd. 0.0\nthis question is applicable to cluster 2, cluster 3, cluster 5.
Answer
20.
Explanation:
Step1: Calculate the markup amount
The markup amount is 15% of $20. So, $20\times0.15 = 3$.
Step2: Calculate the charged amount
The charged amount is the original wage plus the markup. So, $20 + 3=23$.
Answer:
C. $23.00
21.
Explanation:
Step1: Recall the formula for the circumference of a circle
The formula for the circumference of a circle is $C=\pi d$, where $d$ is the diameter.
Step2: Substitute the given diameter
Given $d = 50$ mm and taking $\pi\approx3.14$, then $C=3.14\times50 = 157$ mm.
Answer:
B. 157.0 mm
22.
Explanation:
Step1: Recall the rule for dividing fractions
Dividing by a fraction is the same as multiplying by its reciprocal. So, $\frac{5}{8}\div\frac{1}{2}=\frac{5}{8}\times\frac{2}{1}$.
Step2: Multiply the fractions
$\frac{5\times2}{8\times1}=\frac{10}{8}=\frac{5}{4}=1\frac{1}{4}$.
Answer:
A. $1\frac{1}{4}$
23.
Explanation:
Step1: Simplify the left - hand side of the equation
First, simplify $y + 3y$ to get $4y$. Then the equation becomes $3\times4y=12$, which simplifies to $12y = 12$.
Step2: Solve for y
Divide both sides of the equation $12y = 12$ by 12. So, $y=\frac{12}{12}=1$.
Answer:
C. 1.0