Let x represent the price they charge hardcover book and let y represent the price they charge for a paperback book.
4x + 10y = 62 . . . . . (1)
5x + 7y = 61 . . . . . . (2)
(1) x 5 ⇒ 20x + 50y = 310 . . . . (3)
(2) x 4 ⇒ 20x + 28y = 244 . . . . (4)
(3) - (4) ⇒ 22y = 66
y = 66 / 22 = 3
4x + 10(3) = 62
4x = 62 - 30 = 32
x = 32 / 4 = 8
Therefore, the price for a hardcover book is $8 and the price for a paperback book is $3.
Answer:
2w + 3x ≤ 36
Step-by-step explanation:
Given that :
Hours needed to paint wall = 2 hours
Hours required to frame window = 3 hours
Total hours to spend ≤ 36
Let :
Number of walls to paint = w
Number of windows to frame = x
Hence,
Hours required to paint a wall * number of waas to paint) + (hours required to frame a window * Number of windows to frame.)
(2*w) + (3*x) ≤ 36
2w + 3x ≤ 36
B is correct
12/3=4
-> 3 x 4 = 12
Answer:Yes
Step-by-step explanation:
2x-1=5×
-1=5x-2×
-1=3x which is equivalent to -1=3x
Answer:
(2x^2 + x-3)/(4x^2-9)
Step-by-step explanation:
The denominator looks like an expression in which we have applied the difference of two squares to
In that case, we know that;
a^2-b^2 = (a-b)(a+ b)
That means we would be have 2x + 3 as the other denominator factor and the expression at the denominator would be;
(2x + 3)(2x-3) = 4x^2 - 9
Also, we would have to cancel out 2x + 3 from the numerator too, so as to be left with only the binomial
That means;
(2x+3)(x-1) = 2x^2-2x+ 3x - 3 = 2x^2+x -3
So we have the original expression as;
(2x^2 + x-3)/(4x^2-9)