The line underneath the inequality line(arrow) means p is less than OR EQUAL to 21.
An example off the top of my head would be, Rachel just started a new job that pays 7 dollars per hour. She only worked 3 hours and decided she wanted to go to the mall to buy some clothes. How much money does Rachel have to spend?
And your answer is right there
Answer:
$450000*0.015=$6750
Step-by-step explanation:
1.5% as a decimal is 0.015
You then multiply the sale amount by the decimal to get $6750
A translation
(I'm assuming that this isn't multiple choice since you didn't include the answer choices.)
Answer:
![-10+i\sqrt{2}](https://tex.z-dn.net/?f=-10%2Bi%5Csqrt%7B2%7D)
Step-by-step explanation:
One is given the following expression:
![\sqrt{4}-\sqrt{-98}-\sqrt{144}+\sqrt{-128}](https://tex.z-dn.net/?f=%5Csqrt%7B4%7D-%5Csqrt%7B-98%7D-%5Csqrt%7B144%7D%2B%5Csqrt%7B-128%7D)
In order to simplify and solve this problem, one must keep the following points in mind: the square root function (
) is a way of requesting one to find what number times itself equals the number underneath the radical sign. One must also remember the function of taking the square root of a negative number. Remember the following property: (
). Simplify the given equation. Factor each of the terms and rewrite the equation. Use the square root property to simplify the radicals and perform operations between them.
![\sqrt{4}-\sqrt{-98}-\sqrt{144}+\sqrt{-128}](https://tex.z-dn.net/?f=%5Csqrt%7B4%7D-%5Csqrt%7B-98%7D-%5Csqrt%7B144%7D%2B%5Csqrt%7B-128%7D)
![\sqrt{2*2}-\sqrt{-1*2*7*7}-\sqrt{12*12}+\sqrt{-1*2*8*8}](https://tex.z-dn.net/?f=%5Csqrt%7B2%2A2%7D-%5Csqrt%7B-1%2A2%2A7%2A7%7D-%5Csqrt%7B12%2A12%7D%2B%5Csqrt%7B-1%2A2%2A8%2A8%7D)
Take factors from out of under the radical:
![\sqrt{2*2}-\sqrt{-1*2*7*7}-\sqrt{12*12}+\sqrt{-1*2*8*8}](https://tex.z-dn.net/?f=%5Csqrt%7B2%2A2%7D-%5Csqrt%7B-1%2A2%2A7%2A7%7D-%5Csqrt%7B12%2A12%7D%2B%5Csqrt%7B-1%2A2%2A8%2A8%7D)
![2-7i\sqrt{2}-12+8i\sqrt{2}](https://tex.z-dn.net/?f=2-7i%5Csqrt%7B2%7D-12%2B8i%5Csqrt%7B2%7D)
Simplify,
![-10+i\sqrt{2}](https://tex.z-dn.net/?f=-10%2Bi%5Csqrt%7B2%7D)
Answer: 12 hours
Step-by-step explanation:
Given : Working together, it takes Sam, Jenna, and Francisco two hours to paint one room.
When Sam works alone, he can paint one room in 6 hours. When Jenna works alone, she can paint one room in 4 hours.
Let 't' be the time taken by Francisco to paint one room on his own.
Then , we have
Rate of work of Sam +Rate of work of Jenna + Rate of work of Francisco =Rate of work they all do together
![\dfrac{1}{6}+\dfrac{1}{4}+\dfrac{1}{t}=\dfrac{1}{2}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B6%7D%2B%5Cdfrac%7B1%7D%7B4%7D%2B%5Cdfrac%7B1%7D%7Bt%7D%3D%5Cdfrac%7B1%7D%7B2%7D)
i.e. ![\dfrac{1}{t}=\dfrac{1}{2}-(\dfrac{1}{6}+\dfrac{1}{4})](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7Bt%7D%3D%5Cdfrac%7B1%7D%7B2%7D-%28%5Cdfrac%7B1%7D%7B6%7D%2B%5Cdfrac%7B1%7D%7B4%7D%29)
i.e. ![\dfrac{1}{t}=\dfrac{1}{2}-(\dfrac{4+6}{24})](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7Bt%7D%3D%5Cdfrac%7B1%7D%7B2%7D-%28%5Cdfrac%7B4%2B6%7D%7B24%7D%29)
i.e. ![\dfrac{1}{t}=\dfrac{1}{2}-\dfrac{10}{24}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7Bt%7D%3D%5Cdfrac%7B1%7D%7B2%7D-%5Cdfrac%7B10%7D%7B24%7D)
i.e. ![\dfrac{1}{t}=\dfrac{1}{2}-\dfrac{5}{12}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7Bt%7D%3D%5Cdfrac%7B1%7D%7B2%7D-%5Cdfrac%7B5%7D%7B12%7D)
i.e. ![\dfrac{1}{t}=\dfrac{6-5}{12}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7Bt%7D%3D%5Cdfrac%7B6-5%7D%7B12%7D)
i.e. ![\dfrac{1}{t}=\dfrac{1}{12}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7Bt%7D%3D%5Cdfrac%7B1%7D%7B12%7D)
i.e. t= 12
Hence, Francisco would take 12 hours to paint one room on his own.