We suggest, that the number 32 is 100% - because it is the output value of the task.
<span>We suggest, that x is the value that we are looking for. </span>
<span>3. If 32 is 100%, so we can jot it down as 32=100%. </span>
<span>4. We know for sure, that x is 15% of the output value, so we can jot it down as x=15%. </span>
5. Now, these are the equations are we have.
1) 32=100%
2) x=15%
where the left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
32/x=100%/15%
6. Now we just have to work out the equation, and we'll get the answer that we want.
7. Answer for what is 15% of 32
32/x=100/15
<span>(32/x)*x=(100/15)*x - </span>multiply both sides of the equation by x
<span>32=6.66666666667*x - </span>divide both sides of the equation by (6.66666666667) to get x
<span>32/6.66666666667=x </span>
<span>4.8=x </span>
x=4.8
<span>15% of 32=4.8
So, the answer is $4.8
Hope this helped</span>
Answer:
y = 20/3
Step-by-step explanation:
4y + 2y + 10 = 50
Combine like terms on the left side.
6y + 10 = 50
Subtract 10 from both sides.
6y = 40
Divide both sides by 6.
y = 40/6
Reduce the fraction by dividing the numerator and denominator by 2.
y = 20/3
<span>2,000 pounds are a short ton also sometimes referred to as an English ton. Your 20,000 pounds are therefore 10 short tons. By contrast the Metric ton is 1,000 kg or 2,204 American pounds.
2000 pounds = 1 short ton
2240 pounds = 1 long ton</span>
Given profit,
p(t)=0.4t^2+5.3t-8
After the first year, t=1
p(1)=0.4*(1^2)+5.3*1-8=-2.3
Answer: the annual loss of the coffee shop after the first year (i.e. the second year) is $2,300.
Answer:
Required total charge is 
coulombs per square meter.
Step-by-step explanation:
Given electric charge is dristributed over the disk,
so that the charge density at (x,y) is,
To find total charge on the disk let Q be the total charge and 
so that,
where A is the surface of disk.
![=\frac{2}{3}\int_{0}^{2\pi}(\sin\theta+\cos\theta)\Big[r^3\Big]_{0}^{4}d\theta+2\int_{0}^{2\pi}\Big[\frac{r^4}{4}\Big]d\theta](https://tex.z-dn.net/?f=%3D%5Cfrac%7B2%7D%7B3%7D%5Cint_%7B0%7D%5E%7B2%5Cpi%7D%28%5Csin%5Ctheta%2B%5Ccos%5Ctheta%29%5CBig%5Br%5E3%5CBig%5D_%7B0%7D%5E%7B4%7Dd%5Ctheta%2B2%5Cint_%7B0%7D%5E%7B2%5Cpi%7D%5CBig%5B%5Cfrac%7Br%5E4%7D%7B4%7D%5CBig%5Dd%5Ctheta)
![=\frac{128}{3}\Big[\sin\theta-\cos\theta\Big]_{0}^{2\pi}+128\times 2\pi](https://tex.z-dn.net/?f=%3D%5Cfrac%7B128%7D%7B3%7D%5CBig%5B%5Csin%5Ctheta-%5Ccos%5Ctheta%5CBig%5D_%7B0%7D%5E%7B2%5Cpi%7D%2B128%5Ctimes%202%5Cpi)
![=\frac{128}{3}\Big[\sin 2\pi-\cos 2\pi-\sin 0+\cos 0\Big]+256\pi](https://tex.z-dn.net/?f=%3D%5Cfrac%7B128%7D%7B3%7D%5CBig%5B%5Csin%202%5Cpi-%5Ccos%202%5Cpi-%5Csin%200%2B%5Ccos%200%5CBig%5D%2B256%5Cpi)
Hence total charge is coulombs per square meter.
