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Nadusha1986 [10]
3 years ago
10

Sayed is paid $8.50 per hour for a standard 36-hour week. He is paid time-and-a-half" for all overtime worked. Calculate:

Mathematics
1 answer:
andre [41]3 years ago
7 0

Step-by-step explanation:

Expression of Sayed weekly earnings = 8.50t + (1.5)(8.50)p = 8.50t + 12.75p

where t is the number of hours worked regularly and p is number of hours worked overtime.

Part 1)

Given t = 36 and p = 4,

Gross Weekly earnings = 8.50(36) + 12.75(4)

= 306 + 51

=$357

Part 2)

Given Gross weekly earnings = $420.75 and t=36,

8.50(36) + 12.75p =420.75

306 + 12.75p = 420.75

12.75p = 420.75-306

12.75p = 114.75

p = 114.75÷12.75

p=9

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Answer:

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Which equation is equal to 4a+2b=10<br> A. b=-2a+10<br> B. 2a+5<br> C. b=-2a+5<br> D. b=2a+10
nata0808 [166]
4a + 2b = 10

you are solving for b

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If 2(4x + 3)/(x - 3)(x + 7) = a/x - 3 + b/x + 7, find the values of a and b.
zmey [24]

Answer:

a=3 and b=5.

Step-by-step explanation:

So I believe the problem is this:

\frac{2(4x+3)}{x-3}(x+7)}=\frac{a}{x-3}+\frac{b}{x+7}

where we are asked to find values for a and b such that the equation holds for any x in the equation's domain.

So I'm actually going to get rid of any domain restrictions by multiplying both sides by (x-3)(x+7).

In other words this will clear the fractions.

\frac{2(4x+3)}{x-3}(x+7)}\cdot(x-3)(x+7)=\frac{a}{x-3}\cdot(x-3)(x+7)+\frac{b}{x+7}(x-3)(x+7)

2(4x+3)=a(x+7)+b(x-3)

As you can see there was some cancellation.

I'm going to plug in -7 for x because x+7 becomes 0 then.

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Divide both sides by -10:

\frac{-50}{-10}=b

5=b

Now we have:

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I notice that x-3 is 0 when x=3. So I'm going to replace x with 3.

2(4\cdot 3+3)=a(3+7)+b(3-3)

2(12+3)=a(10)+b(0)

2(15)=10a+0

30=10a

Divide both sides by 10:

\frac{30}{10}=a

3=a

So a=3 and b=5.

4 0
3 years ago
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