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LuckyWell [14K]
3 years ago
13

An Electrician charges $30 for a service call plus $75 per hour of service. If he charged 210 how many hours did he work?

Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
3 0
30 + 75x= 210
Subtract 30 from both sides
75x=180
Divide both sides by 75
X =2.4

Worked 2.4 hours
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For the equation given below, evaluate y′ at the point (−2,−1).<br><br> 3xy−3x−12=0.
SSSSS [86.1K]

Answer:

Y'=3xy-3x-12

Y'=F(-2,-1)=0

Step-by-step explanation:

The function of the equation at the point (-2,-1)

is where the equation make the function go to zero:

Y'=3xy-3x-12

Y'=F(-2,-1)=[3(-2)(-1)]-[3(-1)]-12

F(-2,-1)=[6]-[-6]-12

F(-2,-1)=6+6-12

F(-2,-1)=12-12

F(-2,-1)=0

Solving for y

3xy-3x-12=0

y=4/x+x

Making y=0

\frac{4}{x}+x=0

x^{2} =-4

x=-2

So the values make the function go to zero

3 0
2 years ago
PLEASE HELP WITH THE PROBLEM ON THE ATTACHED FILE
prisoha [69]

Answer:

6 : 1

Step-by-step explanation:

b - 3a / 9 = a /3

Cross multiply

3(b - 3a) = 9a

Expand

3b - 9a = 9a

Add 9a to both sides

3b = 9a + 9a

3b = 18a

Divide both sides by 3

b = 6a

Ratio of a : b

6 : 1

6 0
2 years ago
What simple interest rate would allow $6000 to grow to an amount of $14550 in 10 years?
Harman [31]

Answer:

\boxed{ \bold{ \huge{  \boxed{ \sf{ \: 14.25 \: \% \: }}}}}

Step-by-step explanation:

Given,

Principal ( P ) = $ 6000

Amount ( A ) = $ 14550

Time ( T ) = 10 years

Rate ( R ) = ?

<u>Finding </u><u>the </u><u>Interest</u>

The sum of principal and interest is called an amount.

From the definition,

\boxed{ \sf{Amount =  \: Principal + Interest}}

plug the values

⇒\sf{14550 = 6000 + Interest}

Swap the sides of the equation

⇒\sf{6000 + Interest = 14550}

Move 6000 to right hand side and change its sign

⇒\sf{Interest = 14550 - 6000}

Subtract 6000 from 14550

⇒\sf{Interest = \: 8550 \: }

Interest = $ 8550

<u>Finding </u><u>the </u><u>rate </u>

{ \boxed{ \sf{Rate =  \frac{Interest \times 100}{Principal \times Time}}}}

plug the values

⇒\sf{ Rate = \frac{8550  \times 100}{6000 \times 10} }

Calculate

⇒\sf{Rate =  \frac{855000}{60000} }

⇒\sf{Rate = 14.25 \: \% \: }

Hope I helped!

Best regards!!

8 0
3 years ago
3. Describe the solution to the equation.
Law Incorporation [45]
I don’t really know? What grade is this?
4 0
3 years ago
If I roll a fair die 100 times, about how many times would I roll a 4?
WARRIOR [948]

C. 17

Why:

Divide 100 by 6, round the answer and you should get 17

6 0
3 years ago
Read 2 more answers
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