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cluponka [151]
3 years ago
14

The length of a rectangle is eight feet more than its width. The area of the rectangle is six hundred nine square feet. What are

the dimensions of the rectangle?
Mathematics
1 answer:
vodomira [7]3 years ago
5 0
You can write two equations using the given information:
.. L = W +8
.. L * W = 609
Using substitution, you get a quadratic.
.. (W +8) * W = 609
.. W^2 +8W -609 = 0
Not surprisingly, you're looking for factors of 609 that differ by 8.
.. 609 = 1*609 = 3*203 = 7*87 = 21*29
The last two are the factors of interest.
.. (W +29)(W -21) = 0

The width of the rectangle is 21 feet, the length is 29 feet.

_____
Sometimes it is easier to work with the average dimension. Here, let that be x. Then you have
.. (x +4)(x -4) = 609
.. x^2 -16 = 609
.. x^2 = 625 = 25^2 . . . . . . . one of your memorized math facts
So, the dimensions are
.. 25 +4 = 29 by 25 -4 = 21, that is, 29 ft by 21 ft.
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nikklg [1K]

Answer:

2. $1,100 in clothing sales gives Rachel a $260 paycheck

3 $.2,200 in clothing sales gives Rachel a $370 paycheck

5. $10,800 in clothing sales gives Rachel a 1,230 paycheck

Step-by-step explanation:

Here is the complete question :

Rachel works for a clothing store. She is $150 paid every week plus a 10% commission on any clothes that she sells. Which of the following is true in regards to Rachel's weekly paycheck? Chose three correct answers.

1. $100 in clothing sales gives Rachel a $250 paycheck

2. $1,100 in clothing sales gives Rachel a $260 paycheck

3 $.2,200 in clothing sales gives Rachel a $370 paycheck

4. $ 4,200 in clothing sales gives Rachel a $420 paycheck

5. $10,800 in clothing sales gives Rachel a 1,230 paycheck

6. $ 16,000 in clothing sales gives Rachel a 1,450 paycheck

The equation representing Rachel's paycheck = amount she earns every month + commission

If she makes  $100 in clothing sales, her paycheck = $150 + (0.1 x 100) = $160

If she makes  $1100 in clothing sales, her paycheck = $150 + (0.1 x 1100) = $260

If she makes  $2200 in clothing sales, her paycheck = $150 + (0.1 x 2200) = $370

If she makes  $4200 in clothing sales, her paycheck = $150 + (0.1 x 4200) = $570

If she makes  $10800 in clothing sales, her paycheck = $150 + (0.1 x 10800) = $1230

If she makes  $16000 in clothing sales, her paycheck = $150 + (0.1 x 16000) = $1750

thus the correct options are 2,3,5

4 0
3 years ago
Task: E = mc2
Afina-wow [57]

Answer:

$c=\left(\frac{E}{m} \right)^{\frac{1}{2} }$

Step-by-step explanation:

E = mc^2

$c^2=\frac{E}{m} $

$c=\sqrt{\frac{E}{m} } $

or

$c=\left(\frac{E}{m} \right)^{\frac{1}{2} }$

3 0
4 years ago
a survey was conducted with s students. 30% of those surveyed said that they have traveled out of the country. Of the students w
Ivenika [448]
40÷30s? I think that is the answer, but I'm not completely sure...
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3 years ago
Line n intersects lines 1 and m, forming the angles shown in the diagram below.
bija089 [108]

Answer:

B. 4.5

Step-by-step explanation:

(6x + 42)° and (18x - 12)° are alternate interior angles. If line l is parallel to line m, therefore,

6x + 42 = 18x - 12

Solve for the value of x. Combine like terms.

6x - 18x = -42 - 12

-12x = -54

Divide both sides by -12

-12x/-12 = -54/-12

x = 4.5

Therefore, x = 4.5 would prove lines l and m are parallel to each other.

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What is 0.7723 as a fraction?
tatiyna
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