Answer:
correct answer here
Step-by-step explanation:
Step-by-step explanation:
If Q is the midpoint of PR
Then PQ + QR = PR
(6x + 25) + (16 - 3x)
group the same terms and add them
(6x - 3x) + (25 + 16)
Hence PR = (3x + 41)
But to find the value of PR....If Q is the midpoint....then PQ = QR...since they are both half lengths of PR;
; 6x + 25 = 16 - 3x
; 6x + 3x = 16 - 25...;9x = -9
Hence the value of...x = -1
Then substitute the value of x into the equation of PR....3x + 41
;3(-1) + 41
;-3 + 41
Hence PR = 38
Answer:
24 days
Step-by-step explanation:
To find the answer we need to find the LCM
first, find the prime factorization of 6 and 8
6=2*3
8=2^3
8*3=24
So she'll swim and jog on the same day in 24 days
Answer: A. ![\left[\begin{array}{ccc}29&13\\13&10\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D29%2613%5C%5C13%2610%5C%5C%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
The question is asking us to find the product of the matrices. The key difference is the second A has a little <em>T</em> in the exponent. This <em>T</em> means transpose. You multiply A by the transpose of A. To find the transpose, you turn the rows into columns.
![A^T=\left[\begin{array}{ccc}5&3\\2&-1\\\end{array}\right]](https://tex.z-dn.net/?f=A%5ET%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D5%263%5C%5C2%26-1%5C%5C%5Cend%7Barray%7D%5Cright%5D)
Now that we have our transpose, we can multiply the matrices.
![\left[\begin{array}{ccc}5&2\\3&-1\\\end{array}\right] \left[\begin{array}{ccc}5&3\\2&-1\\\end{array}\right] =\left[\begin{array}{ccc}5*5+2*2&5*3+2(-1)\\3*5+2(-1)&3*3+(-1)(-1)\\\end{array}\right] =\left[\begin{array}{ccc}29&13\\13&10\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D5%262%5C%5C3%26-1%5C%5C%5Cend%7Barray%7D%5Cright%5D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D5%263%5C%5C2%26-1%5C%5C%5Cend%7Barray%7D%5Cright%5D%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D5%2A5%2B2%2A2%265%2A3%2B2%28-1%29%5C%5C3%2A5%2B2%28-1%29%263%2A3%2B%28-1%29%28-1%29%5C%5C%5Cend%7Barray%7D%5Cright%5D%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D29%2613%5C%5C13%2610%5C%5C%5Cend%7Barray%7D%5Cright%5D)
This question is solved using proportions, and doing this, it is found that Evan gets 5 Chinese yuans for every Australian dollar.
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- Evan budgeted $60 for the taxi ride.
- He went $15 over, thus, the taxi ride cost $75.
- In Chinese yuans, the cost was 375.
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75 dollars are worth 375 yuans. How much yuans is a dollar worth?
1 dollar - x yuans
75 dollars - 375 yuans
Applying cross multiplication:



Evan gets 5 Chinese yuans for every Australian dollar.
A similar question is given at brainly.com/question/23352001