In first 40 hours he earns = 7.30 x 40 = $292
Each hour after his rate = 7.20 x 1.5 = $10.80 per hour
In extra four hours he earns = 10.80 x 4 = $43.20
Total earnings = $292 + $43.20 = $335.20
Therefore you don't agree
Hoped this helped you
Answer: 3
Step-by-step explanation:
1. Convert the mixed number to fraction:
- Multiply the denominator of the fraction by the whole number.
- Add the product obtained and the numerator of the fraction.
- Write the sum obtained as the numerator and rewrite the original denominator of the fraction.
Then:
2. Multiply the numerators.
3. Multiply the denominator.
4. Reduce the fraction.
Then:
A point that bisects a segment would be its midpoint. This is a case where the vocabulary (bisect as opposed to midpoint) makes it harder.
To find the midpoint, we use the midpoint formula. The midpoint formula is:
midpoint = (x₁ + x₂/2, y₁ + y/2). To find it, you add the x coordinates and then divide them by 2. Repeat for the y coordinates.
x: (-2 + 6)/2 = 4/2 = 2
y: (5 +1)/2 = 6/2 = 3
Thus the point B bisecting AC is at (2, 3).
Answer:
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Step-by-step explanation:.
Answer: x = 4 and x = -3/2
Procedure:
1) Given: 2x^2 - 5x - 12 = 0
2) Multiply both sides by : 2(2x^2) - 2(5x) - 2(12) = 0
3) Rearrange: (2x)^2 -5(2x) - 24 = 0
4) Notice that the common factor is (2x)
5) Set the parenthesis with the common factor inside:
(2x ) (2x ) =0
6) The first sign is the same sign of the second term of the trinomial, which is negative, the second sign is the product of the signs of the second and the third terms of the polynomial, which is (-)*(-) = + (positive)
(2x - )(2x + ) = 0
7) find two numbers that sum up - 5x and its product is -24.
- 8 + 3 = - 5
(-8)(+3) = -24
=> the numbers in the factors are -8 and +3
(2x - 8) (2x + 3) = 0
That is the factored equation. Now you can solve
8) a) 2x - 8 = 0 => 2x = 8 => x = 8/2 => x = 4
b) 2x + 3 = 0 => 2x = - 3 => x = - 3/2
Answer: the two solutions are x = 4 and x = -3/2
