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ludmilkaskok [199]
3 years ago
6

stephen buys x pencils and y notebook for his students each pencil costs $0.45 and each notebook costs $1.25 he buys a total of

210 pencils and notebooks for $142.50 which system of equation represent this situation A x+y= 0.45+1.25y=142.50 B x+y=142.50 0.45x+1.25y=210 C x+y =210 1.25x+0.45y=142.50 D x+y=142.50 1.25x+0.45y=210
Mathematics
2 answers:
Natalka [10]3 years ago
7 0

x + y = 210 \\ 1.25x + 0.45y = 142.50

Answer is C.

Hope this helps. - M
Molodets [167]3 years ago
3 0
QUANTITY EQUATION: add up total number of pencils (x) and notebooks (y) to equal 210 total items.

x + y= 210


COST EQUATION: (multiply the cost per pencil by the number of pencils) plus (multiply the cost per notebook by the number of notebooks) to equal a total of $142.50.

$0.45x + $1.25y= $142.50


ANSWER: I believe it is A, but you may have left a couple things out when typing the question. The answer has to have: x+y=210 and $0.45x+$1.25y=$142.50 (it is NOT B, C or D).

Hope this helps! :)
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3 years ago
The perimeter of a rectangular baking sheet is 58 inches and its area is 201.25 in.2. What are the length and width of the bakin
anzhelika [568]

Answer:

Length=17.5\ in\\\\Width=11.5\ in

Step-by-step explanation:

The formula for calculate the Area of a rectangle is:

A=lw

Where "l" is the lenght and "w" is the width.

And the formula for calculate the peimeter of a rectangle is:

P=2l+2w

Where "l" is the lenght and "w" is the width.

We know that the perimeter of the rectangular baking sheet is 58 inches and its area is 201.25 in². Then:

A=201.25\ in^2\\\\P=58\ in

<u>The steps are:</u>

1. Solve for the "l" from the formula A=lw:

A=lw\\\\l=\frac{A}{w}\\\\\l=\frac{201.25}{w}

2. Substitute l=\frac{201.25}{w} into the formula P=2l+2w and solve for "w":

58=2(\frac{201.25}{w})+2w\\\\58=\frac{402.5}{w}+2w\\\\58=\frac{402.5+2w^2}{w}\\\\58w=402.5+2w^2\\\\2w^2-58w+402.5=0

Applying the Quadratic formula x=\frac{-b\±\sqrt{b^2-4ac}}{2a}, we get:

x=w=\frac{-(-58)\±\sqrt{(-58)^2-4(2)(402.5)}}{2(2)}\\\\w_1=17.5\\\\w_2=11.5

3.  Substitute w_1=17.5 into l=\frac{201.25}{w}:

l=\frac{201.25}{17.5}=11.5

4. Substitute w_2=11.5 into l=\frac{201.25}{w}:

l=\frac{201.25}{11.5}=17.5

Therefore, since the value of the lenght of a rectangle must be greater that the value of the width, we can conclude that the lenght and the width of the rectangular baking sheet are:

l=17.5\ in\\\\w=11.5\ in

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