Answer:
In the end Joanne had 55 sweets.
Step-by-step explanation:
Let the number of sweets that Xue Ying had be y and let the number of sweets Joanne had be x.
It is given that Xue Ying had 143 more sweets than Joanne. We can write this information as an equation.
y = x + 143.
It is also given that Joanne gave away 22 of her sweets and after that Xue Ying had 6 times as many more sweets. We can write this as an equation.
y = 6(x - 22) = 6x - 132.
Therefore we can equate the two equations and solve for x.
x + 143 = 6x - 132
5x = 275
∴ x = 
sweets.
Therefore in the end Joanne had 55 sweets.
Answer:
![\left[\begin{array}{c}-\frac{8}{\sqrt{117} } \\\frac{7}{\sqrt{117} }\\\frac{2}{\sqrt{117} }\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D-%5Cfrac%7B8%7D%7B%5Csqrt%7B117%7D%20%7D%20%5C%5C%5Cfrac%7B7%7D%7B%5Csqrt%7B117%7D%20%7D%5C%5C%5Cfrac%7B2%7D%7B%5Csqrt%7B117%7D%20%7D%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
We are required to find a unit vector in the direction of:
![\left[\begin{array}{c}-8\\7\\2\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D-8%5C%5C7%5C%5C2%5Cend%7Barray%7D%5Cright%5D)
Unit Vector, 
The Modulus of 
=
Therefore, the unit vector of the matrix is given as:
Circumference of a circle is simply C = πd, d = diameter.
now, we know the diameter is 80, so C = π80, or just 80π.
<h2>
Hello!</h2>
The answer is:
The area of the rhombus is equal to 64 squared inches.
<h2>
Why?</h2>
Since we already know half of the length of the diagonals of the rhombus, we can calculate the area of the rhombus using the following formula:
From the image we can see that:
So, substituting, we have:
Hence, we have that the area of the rhombus is equal to 64 square inches.
Have a nice day!
Lets have T be the TOTAL reduction
t = 7 * 0.02
t = 0.14
My answer here.
