Answer:
Hamish's earning = $20
Harry's earning = $26
Step-by-step explanation:
Given the following :
Let Harry's earning per hour = x
Let Hamish earning per hour = y
Harry earns a dollar more than more than 5/4 the amount hamish earns per hour;
Therefore,
x = 5/4y + 1
x - 5/4y = 1 - - - - (1)
the amount Harry earns per hour is $2 less than 7/5 the amount Hamish earns per hour
x = 7/5y - 2 - - - - (2)
Substituting (2) into (1)
7/5y - 2 - 5/4y = 1
7/5y - 5/4y = 1 + 2
7/5y - 5/4y = 3
Taking the L. C. M
(28y - 25y) / 20 = 3
28y - 25y = 60
3y = 60
y = 20
Substitute y = 20 into (1)
x - 5/4(20) = 1
x - 100/4 = 1
x - 25 = 1
x = 1 + 25
x = 26
y = Hamish's earning = $20
x = Harry's earning = $26
First, solve 7 times square root of 5.
7 x 2.236 = 15.652
Now find the solution above that results in 15.65.
We can quickly eliminate the top 2 as they will result in very large numbers.
The bottom problem is quick to check - simplifies to (7 + 5)/5 = 2.4. No
It looks like the next to last answer is our best bet.
Figure the square root of 196 (14) and multiply by square root of 5 (2.236). Giving us 31.304.
Divide the result by 2. And that gives us 15.652.
If you knew the square root of 196 was 14, it was helpful to find this quickly because 14/2 = 7 and then the other square root was the 5 from the problem.
Answer:
Step-by-step explanation:
4x + 7 = 3x + 14
x + 7 = 14
x = 7
4(7) + 7 + 3(7) + 14
28 + 7 + 21 + 14
35 + 35 = 70
René Descartes provided the first systematic link between Euclidean geometry and algebra.
<h3>What is Geometry?</h3>
This branch of mathematics involves the study of object shape, their spatial relationship and that of their surrounding space.
René Descartes is referred to as the father of analytic geometry due to him establishing the relationship between Euclidean geometry and algebra.
Read more about Geometry here brainly.com/question/20303542
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Answer:
The perimeter of the Rectangle JKLM is 32 unit.
Step-by-step explanation:
Consider the provided coordinates.
Rectangle JKLM: J(-3, 8), K(-3,-1), L(4, -1), M(4,8)
First plot the points as shown in figure:
The required figure is shown below:
Now find the distance between JK by using the distance formula.
Therefore, the length of JK is 9 unit.
Now find the length of the side JM
Therefore, the length of JM is 7 unit.
The perimeter of rectangle is: 
Therefore,
Hence, the perimeter of the Rectangle JKLM is 32 unit.
