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Allushta [10]
3 years ago
5

Your air conditioner hasn’t been working properly, so you decide to set up an appointment to have it fixed. The repair company t

ells you that it costs $99 for a one time service fee plus $50 every hour. The technician came to your house and determined the drain was clogged. The total bill came to $549. Write an equation that represents this situation. (do not use any spaces in your equation & use the letter "x" to represent your variable)
Mathematics
1 answer:
Bess [88]3 years ago
3 0

Answer:

99 + 50x = 549

Alternatively you can write it as;

50x - 450 = 0

Step-by-step explanation:

One time service fee=$99

Rate of service=$50/hour

let unknown hours=x

Therefore the equation is

99 + 50x = 549

or you can further simplify it to:

50x - 450 = 0

And you can then solve for x to be 9 hours.

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Calculate two iterations of Newton's Method to approximate a zero of the function using the given initial guess. (Round your ans
VikaD [51]

Answer:

The two iterations of f(x) = 1.5598

Step-by-step explanation:

If we apply  Newton's iterations method, we get a new guess of a zero of a function, f(x), xₙ₊₁, using a previous guess of, xₙ.

xₙ₊₁ = xₙ - f(xₙ) / f'(xₙ)

Given;

f(xₙ) = cos x, then  f'(xₙ) = - sin x

cos x / - sin x = -cot x

substitute in "-cot x" into the equation

xₙ₊₁ = xₙ - (- cot x)

xₙ₊₁ = xₙ + cot x

x₁ = 0.7

first iteration

x₂ = 0.7 + cot (0.7)

x₂ =  0.7 + 1.18724

x₂ = 1.88724

 

second iteration

x₃ = 1.88724 + cot (1.88724)

x₃ = 1.88724 - 0.32744

x₃ = 1.5598

To four decimal places = 1.5598

4 0
3 years ago
Who Washes? Erica and Aaron, who are siblings, have decided to use a lottery system to decide who will wash dishes every night.
Anestetic [448]

Given that Erica and AAron,are using lottery system to decide who will wash dishes every night.

They put some red and blue power chips and draw each one.  If same colour, Aaron will wash and if not same colours Erica will wash

If the game is to be fair, then both should have equal chances of opportunity for washing.

i.e. Probability for Erica washing = Prob of Aaron washing

i.e. P(different chips) = P(same colour chips)

Say there are m red colours and n blue colours.

Both are drawing at the same time.

Hence Prob (getting same colour) = (mC2+nC2)/(m+n)C2

Probfor different colour = mC1+nC1/(m+n)C2

The two would be equal is mC2 +nC2 = m+n

This is possible if mC2 =m and nC2 = n.

Or m = 2+1 =3 and n =3

That for a fair game we must have both colours to be 3.


3 0
3 years ago
-6x + 7y = 9<br> 2x - 2y = 4<br> Solve for x and y
Effectus [21]

Answer:

x = 23 , y = 21

Step-by-step explanation:

-6x + 7y = 9 -- (1)

2x - 2y = 4 -- (2)

(2) x 3 : 6x - 6y = 12 -- (2)'

(1) + (2)' : y = 21 -- (3)

Subtituting (3) into (2),

2x - 42 = 4

2x = 46

x = 23 -- (4)

According (3) and (4),

x = 23 , y = 21

If this helps you, please give brainliest!

7 0
3 years ago
(x+16)°<br> (4x-5)°<br> Find the measure of the angle.<br> I
o-na [289]

4x - 5 = x + 16

Subtract the sides of the equation plus 5

4x = x + 16 + 5

4x = x + 21

Subtract the sides of the equation minus x

3x = 21

Divided the sides of the equation by 3

\frac{3}{3} x =  \frac{21}{3} \\

x = 7

So the measure of the angle equals :

4(7) - 5 = 28 - 5 = 23

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

6 0
4 years ago
3/m = 45/50 HELP, WILL GIVE BRAINLIST IF PERFECT ANSWER, its hard
Lana71 [14]

Answer:

m=10/3

Step-by-step explanation:

[3/(10/3)]3=9/10

(9/10)5=45/50

7 0
2 years ago
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