Answer:
Step-by-step explanation:
Given
Intersecting lines
Required
Find x
To do this, we make use of:
--- angle on a straight line
Collect like terms
Divide both sides by 3
Answer:
The store marks up the fountain by adding $ 36.58 to its original cost, bringing its retail price to $ 402.42.
Step-by-step explanation:
Given that a store pays $ 365.84 for a fountain, and then the store marks up the price by 10%, to determine the amount of the mark-up the following calculation must be performed:
365.84 x 10/100 = X
3,658.4 / 100 = X
36,584 = X
36.584 + 365.84 = 402.424
Thus, the store marks up the fountain by adding $ 36.58 to its original cost, bringing its retail price to $ 402.42.
Answer:
Cost of tickets: $7. Equation: 40 = 4x + 12.
Step-by-step explanation:
Answer:
(3, 50) and (14,303)
Step-by-step explanation:
Given the system of equations;
y=23x–19 ....1
x²–y= – 6x–23 ...2
Substitute 1 into 2;
x²–(23x-19)= – 6x–23
x²–23x+19= – 6x–23 .
x²-23x + 6x + 19 + 23 = 0
x² - 17x + 42 = 0
Factorize;
x² - 14x - 3x + 42 = 0
x(x-14)-3(x-14) = 0
(x-3)(x-14) = 0
x = 3 and 14
If x = 3
y = 23(3) - 19
y = 69-19
y = 50
If x = 14
y = 23(14) - 19
y = 322-19
y = 303
Hence the coordinate solutions are (3, 50) and (14,303)