Albert's rectangular garden is 6ft by 3ft. He wants to lengthen both dimensions by the same number of feet so that the new area will be 40 square feet. What will be the new dimensions?

8 and 5

Step-by-step explanation:

Let the number of feet added = x

(x + 6) ( x + 3) = 40               Remove the brackets

x^2 + 6x + 3x + 18 = 40        Combine like terms on the left

x^2 + 9x + 18 = 40                Subtract 18 from both sides

               -18    -18

x^2 + 9x = 22                        Subtract 22 from both sides

x^2 + 9x - 22 = 0

This quadratic factors

(x + 11)(x - 2)

x + 11 = 0

x = - 11 which makes not sense.

x - 2 = 0

x = 2

The answer is x = 2

Check

6+2 = 8

3+2 = 5

8 * 5 = 4- just as it should.

answer:

payment just for service  

→

$

87.12

payment for service including tax

→

$

94.09

explanation:

service only with 20% tip  

→

$

72.6

(

1

+

20

100

)

=

$

87.12

in the opening of the question the word 'service' is associated only with the pretax value.

the closing part of the question asks: how much did she pay for the  

service

−−−−−−  

so technically the answer is  

→

$

72.6

(

1

+

20

100

)

=

$

87.12

however, the intention of the question provider may have been that your answer is to be  

$

87.12

(

1

+

8

100

)

=

$

94.09

to 2 decimal places.

'

payment just for service  

→

$

87.12

payment for service including tax

→

$

94.09

tony b

mar 21, 2017

answer:

trying to explain it another way

explanation:

service charge  

.

→

$

72.60

20% tip  

20

100

×

$

72.60

=

$

14.52

−−−−−−  

←

add

$

87.12

tax  

8

100

×

$

87.12

=

$

6.97

−−−−−  

←

add

$

94.09

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