Answer:
x = 7
Step-by-step explanation:
5x - 2 + x = 9 + 3x + 10
6x - 2 = 9 + 3x + 10
6x - 2 = 3x + 19
6x = 3x + 21
3x = 21
x = 7
Answer:
Option B
Step-by-step explanation:
Looking at the options, option B is correct because when multiplying it by matrix A, it yields the matrix AB as follows;
First row of A multiplied by first column of matrix in option D;
(1 × -1) + (0 × 0) + (0 × 0) = -1 which corresponds to the first number on the first row of Matrix AB
Since majority of matrix AB are zero, I will just prove the ones that are not zero.
Thus;
Second row of matrix A is multiplied by second column of matrix in option D;
(0 × 0) + (-1 × -1) + (0 × 0) = 1 which is same as 2nd number on second row in matrix AB
Lastly, third row of matrix A is multiplied by third column of matrix in option D;
(0 × 0) + (0 × 0) + (1 × -1) = -1 which is same as third number in third row in matrix AB
Answer: The price of an adult ticket = $6
The price of a student ticket = $12
Step-by-step explanation:
Let the price of an adult ticket be a
Let the price of a student ticket be b.
From the question,
5a + 14b = 198 ...... equation i
10a + 8b = 156....... equation ii
Multiply equation i by 10
Multiply equation ii by 5
50a + 140b = 1980 ...... equation iii
50a + 40b = 780 ....... equation iv
Subtract iv from iii
100b = 1200
b = 1200/100
b = 12
Put the value of b into equation ii
10a + 8b = 156
10a + 8(12) = 156
10a + 96 = 156
10a = 156-96
10a = 60
a = 6
The price of an adult ticket = $6
The price of a student ticket = $12
Answer:
Yes, it simplifies to 1/6.
Step-by-step explanation:
Both the top (numerator) and bottom (denominator) can be both divided by 3. 3 divided by 3 is 1. 18 divided by 3 is 6.
So if the regular price of an item is 25 and the store is marking it up by 40%, then we have to multiply 25 by .4 to find out what 40% of 25 dollars is. 40% of 25 is 10 dollars. So now you just do 25 + 10 and you get 35. Answer: $35
