Answer:
The hourly wage is $8.55 per hour
Step-by-step explanation:
Step 1: Determine the expression for the gross pay
Total gross pay=(Unit rate per hour×number of hours(≤40))+(Overtime rate×number of overtime hours)
where;
Total gross pay=$380.48
Unit rate per hour=x
Number of hours=40 hours
Overtime rate=x×(1 1/2)=1.5 x
Number of overtime hours=3 hours
Step 2: Replace to solve for hourly wage
380.48=(x×40)+(1.5 x)×3
40 x+4.5 x=380.48
44.5 x=380.48
x=380.48/44.5
x=8.55
The hourly wage is $8.55 per hour
Answer:
Yes
Step-by-step explanation:
To figure out if (1,2) is a solution to the system, we can plug the values in and see if it is true.
3x-2y=-1
3(1)-2(2)=-1
3-4=-1
-1=-1
It is true for this equation. Now let's check the next one.
y=-x+3
2=-(1)+3
2=2
Since both equations are true when we plug the values in, (1,2) is a solution to the system.
Answer: ![249.48\ m^2; 369.168\ m^3](https://tex.z-dn.net/?f=249.48%5C%20m%5E2%3B%20369.168%5C%20m%5E3)
Step-by-step explanation:
Given
Cost of white-washing =Rs. 4989.60
Rate =20 per meter square
So, inside area of = ![\dfrac{4989.60}{20}=249.48\ m^2](https://tex.z-dn.net/?f=%5Cdfrac%7B4989.60%7D%7B20%7D%3D249.48%5C%20m%5E2)
The surface area of dome= ![4\pi\ r^2=249.48](https://tex.z-dn.net/?f=4%5Cpi%5C%20r%5E2%3D249.48)
![4\times 3.142\times r^2=249.48\\r^2=\frac{249.48}{4\times 3.142}=19.85\\r=4.455\ m](https://tex.z-dn.net/?f=4%5Ctimes%203.142%5Ctimes%20r%5E2%3D249.48%5C%5Cr%5E2%3D%5Cfrac%7B249.48%7D%7B4%5Ctimes%203.142%7D%3D19.85%5C%5Cr%3D4.455%5C%20m)
The volume of air in the dome ![V=\frac{4}{3}\pi r^3](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B4%7D%7B3%7D%5Cpi%20r%5E3)
![V=\frac{4}{3}\cdot 3.142\cdot (4.45)^3\\V=369.17\ m^3](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B4%7D%7B3%7D%5Ccdot%203.142%5Ccdot%20%284.45%29%5E3%5C%5CV%3D369.17%5C%20m%5E3)
Answer:
a 72
Step-by-step explanation:
9x10=90, so in total he has 90 pencils. if he loses 18 of them that's 90-18 which is 72.
Answer:
x= -7/4
Step-by-step explanation:
8x= -14
Divide both sides by 8
8x/8 = -14/8
Simplify
x= -7/4