Answer:
Jenny will receive $12.51 in change.
Step-by-step explanation:
We need to find the total cost first.
19.99 + 7.50 = 27.49
We then subtract that from the 40 dollars she gave to get the amount of change she receives.
40.00 - 27.49 = 12.51.
She will receive $12.51 in change.
hope this helped!
You make 22.50
assuming you get two payments of 11.25 a month
Answer:
1 / (x-2)(x+3)
Step-by-step explanation:
Given in the question the expression:
(x + 1) / (x² + x - 6) ÷ (x² + 5x + 4) / (x+4)
factorisation of (x² + x - 6) = (x-2)(x+3) by using quadratic equation
(x + 1) / (x-2)(x+3) ÷ (x² + 5x + 4) / (x+4)
Taking reciprocal to convert ÷ into ×
(x + 1) / (x-2)(x+3) x (x+4) / (x² + 5x + 4)
factorisation of (x² + 5x + 4) = (x+1)(x+4) by using quadratic equation
(x + 1) / (x-2)(x+3) x (x+4) / (x+1)(x+4)
cancel (x + 1) from both expression
1 / (x-2)(x+3) x (x+4) / (x+4)
cancel (x+4)
1 / (x-2)(x+3) Simplified form
Answer: The smaller integer is 12, while larger integer is 23
Step-by-step explanation:
The sum of two positive integer;
a + b = 35, when smaller integer is subtracted from twice the larger integer we have, 2a - b = 34 assuming b as the smaller integer, so your equation goes this way.
a + b = 35........(1)
2a - b = 34.......(2). To solve by elimination method add both equation. We have;
3a + 0 = 69
3a = 69, divide both sides by 3.
3a/3 = 69/3 so we have;
a = 23
To know the value of b, substitute 23 for the value of a in any of the equations, let's go with (1). From one we have;
a + b = 35 if a = 23 we have;
23 + b = 35
b = 35 - 23
b = 12.
Check: a + b = 35
23 + 12 = 35
35 = 35
The answer is correct.