The hourly pay before the increase for marta and khalid is 21 and 17.5.
Given:
the ratio of martas hourly pay to khalids hourly pay is 6:5 both marta and Khalid get an increase of 1.50 in their hourly pay The ratio of Martas hourly pay to Khalid hourly pay after this increase is 13:11
Let x and y be the hourly pay before increase
x/y = 6/5
x = 6/5*y
x + 1.50 / y + 1.50 = 13/11
11(x+1.50) = 13(y+1.50)
11x + 16.5 = 13y + 19.5
11(6/5*y) = 13y + 19.5 - 16.5
66y/5 = 13y + 3.5
66y - 13*5y / 5 = 3.5
66y - 65y = 17.5
y = 17.5
x = 6/5*17.5
= 105/5
x = 21
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Answer:
Qualitative Research
Step-by-step explanation:
In this type of research there is focus to collect data which is non numerical. This type of research tries to ask questions that relate to why and how something occurs rather than how many times it occurs.
Case study is an example of qualitative research. Quantitative research depends on the mathematical formulations and relations to come to a conclusion while qualitative research does not.
Answer:
A.
Step-by-step explanation:
Substituting the ordered pairs into the equation. 3x - y/4 = 11
For (3,-8)
3 * 3 - (-8)/4
9- (-2) = 11
For (4, 4)
3 * 4 - 4/4
12 - 1 = 11
Both ordered pairs equals to 11, therefore, they're both solutions to the equation.
Answer:
B. x < -8 or x > 8
Step-by-step explanation:
You can use process of elimination to solve this problem by going through every solution and testing them out, but let's jump right to B.
Process:
You know that since the inequality states that x^2 has to be greater than 64, x has to be more than 8, or less than -8.
This is because 8^2 = 64, and -8^2 = 64, and the inequality requires the answer to be more than 64.
Looking at B., you can see that if x is < -8, the square of, for example, -9, would be 81. This is greater than 64, so this works!
Now, B. also has an alternative. The 'or' is a major clue to which is the correct answer, since the square root of any number can be positive or negative. (-8^2 = 8^2)
The 'or' states that x must be greater than 8. So, for example, if we take the square of 10, we get 100, and that is also greater than 64.
We've proven that this solution is accurate for both parts, so it is definitely the one we want!
Hope this helps!
Answer: 2 meters.
Step-by-step explanation:
Let w = width of the cement path.
Dimensions of pool : Length = 15 meters , width = 9 meters
Area of pool = length x width = 15 x 9 = 135 square meters
Along width cement path, the length of region = 
width = 
Area of road with pool = 
Area of road = (Area of road with pool ) -(area of pool)
![\Rightarrow\ 112 =4w^2+48w+135- 135\\\\\Rightarrow\ 112= 4w^2+48w\\\\\Rightarrow\ 4 w^2+48w-112=0\\\\\Rightarrow\ w^2+12w-28=0\ \ \ [\text{Divide both sides by 4}]\\\\\Rightarrow\ w^2+14w-2w-28=0\\\\\Rightarrow\ w(w+14)-2(w+14)=0\\\\\Rightarrow\ (w+14)(w-2)=0\\\\\Rightarrow\ w=-14\ or \ w=2](https://tex.z-dn.net/?f=%5CRightarrow%5C%20112%20%3D4w%5E2%2B48w%2B135-%20135%5C%5C%5C%5C%5CRightarrow%5C%20112%3D%204w%5E2%2B48w%5C%5C%5C%5C%5CRightarrow%5C%204%20w%5E2%2B48w-112%3D0%5C%5C%5C%5C%5CRightarrow%5C%20w%5E2%2B12w-28%3D0%5C%20%5C%20%5C%20%5B%5Ctext%7BDivide%20both%20sides%20by%204%7D%5D%5C%5C%5C%5C%5CRightarrow%5C%20w%5E2%2B14w-2w-28%3D0%5C%5C%5C%5C%5CRightarrow%5C%20w%28w%2B14%29-2%28w%2B14%29%3D0%5C%5C%5C%5C%5CRightarrow%5C%20%28w%2B14%29%28w-2%29%3D0%5C%5C%5C%5C%5CRightarrow%5C%20%20w%3D-14%5C%20or%20%5C%20w%3D2)
width cannot be negative, so w=2 meters
Hence, the width of the road = 2 meters.
