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Rama09 [41]
3 years ago
8

The amount of money and dollars that it cost to purchase x square feet of the carpet is given by f(x)= 8x the insulation feet is

$125 more than 8% of the cost of the carpet right function of g that represents the insulation fee then use the function to find the insulation fee for 175 square feet of carpet
Mathematics
1 answer:
nadezda [96]3 years ago
7 0

Answer:

The insulation fee for 175 square feet of carpet is $237.

Step-by-step explanation:

The amount of money, f(x), that it cost to purchase x square feet of the carpet is:

f(x)= 8x

The insulation fee,g(x), is $125 more than 8% of the cost of the carpet,f(x), we have

g(x)=8% of f(x)+125

\Rightarrow=\frac{8}{100}\times (8x)+125

\Rightarrow=0.64x+125

The insulation fee for 175 square feet of carpet,

i.e for x=175

g(x=175)=0.64\times175+125=237

Hence, the insulation fee for 175 square feet of carpet is $237.

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Zigmanuir [339]
I must confess that I was about to pass this question by, but I was captured by the respectful and dignified way in which you asked for help. 

A careful reading of the problem gives you two equations in two unknowns, which you can then solve as simultaneous equations.  Here's how it looks:

Call 'C' the price of the senior <u>C</u>itizen ticket.
Call 'S' the price of the <u>S</u>tudent ticket.

On the first night . . .    10 C  +  12 S  =  208

On the second night . . .  8C  +  3 S  =  74

Those are your two simultaneous equations. Now the idea is to multiply or divide each side of one equation in such a way that when you add or subtract it from the other equation, one of the variables will become a zero quantity ...  you'll be left with an equation in one variable, which you can easily solve. THEN, knowing the value of one variable, you can put it back into one of the original equations,and find the value of the other variable.

This all sounds more complicated than it is.   Here's how it goes:
We have . . .

10 C  +  12 S  =  208  and
8C  +  3 S  =  74

I'm going to multiply each side of the second equation by  4, and then write it under the first one:

10 C  +  12 S  =  208
32 C  +  12 S  =  296

Now, subtract the lower equation from the upper one, and you get . . .

- 22 C  +  0  =   - 88

Divide each side of this one by  -22  and you have    <em>C = $4.00</em> .

THAT's what you need, to blow the whole problem wide open.  Knowing
the value of 'C', let's substitute it into the equation for the first night:

10 C  +  12 S  =  208

10(4)  +  12 S  =  208

40  +  12 S  =  208

Subtract  40  from each side :    12 S  =  168

Divide each side by  12 :    <em>S  =</em><em>  $ 14.00 </em>.

Finally, as we look over our results, and see that Students have to pay  $14  to see the show but Seniors can get in for only  $4 , we reflect on this ... or at least I do ... and realize that getting old is not necessarily all bad.
3 0
3 years ago
Mei does 6 problems in 18 minutes. How many can she complete in 12 minutes
Dmitriy789 [7]
Do cross multiplication

  <u>6</u>  =  <u>x</u>
 18    12

Now cross multiply

(6)(12) = (18)(x)

       72 = 18x

Divide both sides by 18
     
    
     <u>72</u>  = <u>18x</u>
     18      18

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So tMei can complete 4 problems in 12 minutes.

5 0
3 years ago
HELP DUE IN 5 MINUTES
Dafna1 [17]

Answer:

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Step-by-step explanation:

If 250 copies are made in 2.5 minutes, you get the equation:

250c=2.5m

divide by 2.5 on both sides and you get:

100c=m

So in m minutes, 100c copies are made.

7 0
3 years ago
Mr Tarun earns dollar $12.50 a day how much would he earn if he works for 6 days​
WARRIOR [948]

Answer:

$75

Step-by-step explanation:

Question:Mr Tarun earns dollar $12.50 a day how much would he earn if he works for 6 days?

Solution:$12.50 in a day

12.50 multiple by 6

=75

Ans.$75

HOPE IT HELPS

CARY ON LEARNING

8 0
2 years ago
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Please answer this! I really suck at math and I need to do well.
Mariulka [41]

I believe it would be G.

5 0
3 years ago
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