Answer:
21 weeks
Step-by-step explanation:
In this question, we are to use proportionality to find the solution to the question.
We were made to know that the time taken to build the highway is varied directly with the length and inversely with the number of workers.
Let us make a mathematical representation for this.
Let the time be t, number of workers be w and length be l
t is directly proportional to l and inversely proportional to w
Mathematically;
t = kl/w
Where k is the constant of proportionality.
Let’s find the value of k
150 workers built 12 miles of highway in 14 weeks ; plug these in the equation to get k
14 = k * 12/150
k = 150 * 14/12 = 175
Now we want to get t given w and l
from ;
t = kl/w
We can get t; where l = 15 and w = 125
t = 175 * 15/125
t = 21 weeks
Cost of Car= C
$19,028 <span>≥</span><span> C ≤ $370,790
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The cost of the sports car is greater than or equal to $19, 028 and less than or equal to $370,790.
Answer:
30.96 m^2
Step-by-step explanation:
Side length of the square is also the diameter of the semicircle so:
r = 0.5 * 12 m = 6 m
Since you want the area of the shaded area, you have to subtract the area of both semi circles from the area of the square:
Square Area - Semi Circle Area - Semi Circle Area = Shaded Region Area
(12 m * 12 m) - (0.5 * 3.14 * 6^2 m) - (0.5 * 3.14 * 6^2 m)
= 144 - 56.52 - 56.52
= 30.96 m^2
Hey there! :)
Answer:
C. Both (2,1) and (4,9)
Step-by-step explanation:
To solve this question, simply plug in the coordinates of answer choices given into y = 4x - 7:
A.
1 = 4(2) - 7
1 = 8 - 7
1 = 1. A is correct.
B.
9 = 4(4) - 7
9 = 16 - 7
9 = 9. B is correct.
Therefore, the correct answer is C. Both (2,1) and (4,9) are solutions to this equation.
