Answer: £ 81.38
Step-by-step explanation:
Given: On Monday,
5 builders took
hours ( i.e.
hours ) to build a wall.
On Tuesday, only 2 builders were available.
As workers are inversely proportional to the time if the job remains constant.
Inverse variation equation : ![x_1y_1=x_2y_2](https://tex.z-dn.net/?f=x_1y_1%3Dx_2y_2)
Let x be the time taken by 2 builders, then
![2\times x =5\times \dfrac{7}{2}](https://tex.z-dn.net/?f=2%5Ctimes%20x%20%3D5%5Ctimes%20%5Cdfrac%7B7%7D%7B2%7D)
![\Rightarrow\ x=\dfrac{35}{2}\times\dfrac{1}{2}=\dfrac{35}{4}=8.75](https://tex.z-dn.net/?f=%5CRightarrow%5C%20x%3D%5Cdfrac%7B35%7D%7B2%7D%5Ctimes%5Cdfrac%7B1%7D%7B2%7D%3D%5Cdfrac%7B35%7D%7B4%7D%3D8.75)
So, 2 builders will take 8.75 hours.
Each paid £9.30 for each hour.
Then, each builder will be paid for the work completed on Tuesday = £9.30 x 8.75
≈ £ 81.38
Hence, each builder will be paid £ 81.38 for the work completed on Tuesday .
Answer:
B 41.4
Step-by-step explanation:
complete Pythagoras for general triangles :
c² = a² + b² - 2ab×cos(C)
with "c" being the side opposite of the angle C.
=>
8² = 10² + 12² - 2×10×12×cos(C)
64 = 244 - 240×cos(C)
240×cos(C) = 244 - 64 = 180
cos(C) = 180/240 = 18/24 = 3/4 = 0.75
C = 41.40962211... ≈ 41.4
Step-by-step explanation:
100% - 25% off = 75%
Here, 75% of the initial price X, is the sale price of jeans during the season which is $60.
75/100 × X = $60
75X/100 =$60
( cross multiply)
75X=100×60
75X= 6000
X=6000÷75
X= $80
Answer:
x = 3 and x = -7
Step-by-step explanation:
The given quadratic equation is
. We need to find the solution of this equation.
If the equation is in the form of
, then its solutions are given by :
![x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7B-b%5Cpm%20%5Csqrt%7Bb%5E2-4ac%7D%20%7D%7B2a%7D)
Here, a = 1, b = 4 and c = -21
Plugging all the values in the value of x, such that :
![x=\dfrac{-b+ \sqrt{b^2-4ac} }{2a},\dfrac{-b- \sqrt{b^2-4ac} }{2a}\\\\x=\dfrac{-4+ \sqrt{(4)^2-4\times 1\times (-21)} }{2(1)},\dfrac{-4- \sqrt{(4)^2-4\times 1\times (-21)} }{2(1)}\\\\x=3, -7](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7B-b%2B%20%5Csqrt%7Bb%5E2-4ac%7D%20%7D%7B2a%7D%2C%5Cdfrac%7B-b-%20%5Csqrt%7Bb%5E2-4ac%7D%20%7D%7B2a%7D%5C%5C%5C%5Cx%3D%5Cdfrac%7B-4%2B%20%5Csqrt%7B%284%29%5E2-4%5Ctimes%201%5Ctimes%20%28-21%29%7D%20%7D%7B2%281%29%7D%2C%5Cdfrac%7B-4-%20%5Csqrt%7B%284%29%5E2-4%5Ctimes%201%5Ctimes%20%28-21%29%7D%20%7D%7B2%281%29%7D%5C%5C%5C%5Cx%3D3%2C%20-7)
So, the solutions of the quadratic equation are 3 and -7.
Answer:
A. 25.90
Step-by-step explanation:
37 x .3 = 11.1
37 - 11.1 = 25.9
Feel free to let me know if you need more help. :)