Let's say the price of one book is the variable x
Therefore, Alana is 5x and Petra is 4x
Angus bought 19x, but since he had a $10 discount, it is 19x-10
Combined, Alana and Petra is 5x+4x, but since it says Angus spent $5 more, it would be 5x+4x+5
Therefore, we get the equation:
19x-10=5x+4x+5
19x-10=9x+5
10x=15
x=15/10 or 3/2 which equals 1.5
Therefore, one book costs $1.5
Answer:
x equals 50°.
Step-by-step explanation:
The sum of all angles of a triangle is 180°
So, to find the missing angle x, we can use the following equation:-
70° + 60° + x° = 180°
130° + x° = 180°
x° = 180° - 130°
x° = 50°
21/52!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! lemme type the steps really quick
Answer:
1/3
Step-by-step explanation:
Answer:
x=0 or x=3
Step-by-step explanation:
Since it is a geometric sequence, that means term divided by previous term is the same number. Let's call that number, r.
That means we have:
(3x+1)/(2x-1)=r
(7x-1)/(3x+1)=r
Since both of the ratios are the same, then we have
(3x+1)/(2x-1)=(7x-1)/(3x+1)
Cross multiply:
(3x+1)(3x+1)=(2x-1)(7x-1)
Distribute:
9x^2+3x+3x+1=14x^2-2x-7x+1
Combine like terms:
9x^2+6x+1=14x^2-9x+1
Subtract 1 on both sides:
9x^2+6x=14x^2-9x
Subtract 14x^2 on both sides
Add 9x on both sides
-5x^2+15x=0
Factor -5x:
-5x(x-3)=0
-5x=0 when x=0 since -5(0)=0
x-3=0 when x=3 since 3-3=0
