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SpyIntel [72]
3 years ago
11

10. The bill (including parts and labor) for the repair of an oven was $142. The cost

Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
6 0

Total cost=$142

cost of parts=$62

cost paid for labour=$142-$62=$80

According to question,

》cost of labour per hr=$32

which can be written as,

》cost of labour/time=$32

Use cross multiplication,

》time=cost of labour/32

Since cost of labour is 80,

Time=80/32

=2.5hrs

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fomenos

r_{2} = \frac{F_1 \sin(\theta)}{F_{2} \sin(\psi)}

4 0
3 years ago
Solve by using square root: <br> 4(x-1)^2+2=10
Scilla [17]
4(x-1)^2+2=10\\\\4(x^2-2x+1)+2-10=0\\\\4 x^2-8x+4+2-10=0\\\\4 x^2-8x-4=0\ \ / :4\\\\x^2-2x-1=0\\\\x_{1}=\frac{-b-\sqrt{b^2-4ac}}{2a}=\frac{2-\sqrt{ (-2)^2-4*1*(-1)}}{2 }=\frac{2-\sqrt{ 8}}{2 }=\frac{2- \sqrt{ 4*2}}{2 }=\\\\=\frac{2-\sqrt{ 8}}{2 }=\frac{2(1- \sqrt{ 2})}{2 }=1- \sqrt{ 2}\\\\x_{2}=\frac{-b+\sqrt{b^2-4ac}}{2a}=\frac{2+\sqrt{ (-2)^2-4*1*(-1)}}{2 }=\frac{2(1+ \sqrt{ 2})}{2 }=1+ \sqrt{ 2}

Answer:\ x=1- \sqrt{2}\ \ or\ \ x= 1+ \sqrt{ 2}


3 0
3 years ago
Read 2 more answers
Which expression is equivalent to (x^2 -8) - (-2x^2+4)?​
Phoenix [80]

Answer:

D) 3x^2 - 12

Step-by-step explanation:

Using PEMDAS;

There is no need to evaluate the part of the equation (x^2 - 8) because is no need to, as it is already in its simplest form.

We must evaluate the part of the equation continuing with, "- (-2x^2+4)," as it is not in its simplest form.

Evaluating "- (-2x^2+4)":

Step 1: Distributing the negative

Once distributing the negative symbol amongst the values within the parenthesis according to PEMDAS, we get "2x^2 - 4" as the product.

Step 2: Consider the rest of the equation to evaluate

Since the part of the equation is still in play here as it is a part of the original equation to be solved, we must evaluate it as a whole to get the final answer.

Thus,

x^2 -8 + 2x^2 - 4 = ___

*we can remove the parenthesis as it has no purpose, since it makes no difference.

Evaluating for the answer, we get,

x^2+2x^2 + (-8 - 4) = 3x^2 - 12

Hence, the answer is D) 3x^2 - 12.

3 0
3 years ago
find the difference between the simple interest and compound interest on 2500 for 2 years at 4% per annum , compound interest be
EastWind [94]

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Principal (P)= $2,500

Interest rate= 4%

Number of periods= 2 years

<u>First, we will determine the interest earned using the simple interest formula:</u>

I= P*r*t

I= 2,500*0.04*2

I=$200

<u>Now, using the compound interest formula:</u>

I= [P*(1 + r)^t] - P

r= 0.04/2= 0.02 (semi annual interest rate)

t=2*2= 4 semesters

I= [2,500*(1.02^4)] - 2,500

I= $206.08

6 0
3 years ago
A TV has a listed price of $608.98 before tax. If the sales tax rate is 9.75%, find the total cost of the TV with sales tax incl
Juliette [100K]

Answer:

the total cost is $705.77

Step-by-step explanation:

3 0
2 years ago
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