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Mnenie [13.5K]
3 years ago
7

At a concession stand, a pickle and two bags of chips costs a total of $3.25. Three pickles and four bags of chips costs a total

of $7.25. To determine the cost of one pickle, Kevin is writing a system of equations. His first equation is shown below. Which of the following could be the second equation in his system of equations?
Mathematics
1 answer:
Vladimir [108]3 years ago
6 0
Agggggggg step by step!
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A gardener wants to create a rectangular vegetable garden in a backyard. She wants it to have a total area of 120 square feet, a
erastova [34]
Comment
This is an area problem. The key words are 120 square feet and 12 feet longer.
And of course width is a key word when you are reading this.

Formula
Area = L * W

Givens
W = W
L = W + 12

Substitute and Solve
Area = L* W
120 = W*(W + 12)
W^2 + 12W = 120 square feet
w^2 + 12w - 120 = 0

This does not factor easily. I would have thought that a graph might help but not if the dimension has to be to the nearest 1/100 of a foot. The only thing we can do is use the quadratic formula.

a = 1
b = 12
c = - 120

w = [ -b +/- sqrt(b^2 - 4ac) ]/(2a)
w = [-12 +/- sqrt(12^2 - 4*(1)(-120)] / 2*1
w = [-12 +/- sqrt(144 - (-480)]/2
w = [-12 +/- sqrt(624)] / 2
w = [- 12 +/- 24.979992] / 2 The minus root has no meaning whatever.
w = (12.979992) / 2
w = 6.489995 I'll round all this when I get done

L = w + 12
L = 6.489995 + 12
L = 18.489995

check
Area = L * W
Area = 6.489995*18.489995
Area = 119.999935 The difference is a rounding error

Answer
L = 18.489995 = 18.49 feet
W = 6.489995 = 6.49 feet

Note: in the check if you round first to the answer, LW = 120.0001 when you find the area for the check. Kind of strange how that nearest 1/100th makes a difference.
5 0
3 years ago
Which fraction is less than the fraction represented by the model?
wolverine [178]

Answer:

The last option.

Step-by-step explanation:

First answer = 6/8

Second answer= 5.5/8

Third answer= 6.5/8

Fourth answer= 4/8

Fourth answer is correct.

3 0
2 years ago
Read 2 more answers
Determine whether or not this is a function. Explain why it is or not is.<br><br> Thank you!
emmasim [6.3K]

Here you have black dots at x = {0, 1, 2, 4, 4.5, 5}.

For each of these x-values, there is one and only one associated y-value.  This fact tells us that the graph does represent a function.


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3 years ago
______are loans to a company or government for a set amount of time they earn interest in are considered low-risk Investments
Citrus2011 [14]
I think the answer is B
3 0
3 years ago
Which polynomial represents the sum below? 8x^2+2x+8 + 3x^3+7x+4
valkas [14]

Answer:

26 \times21 \frac = 1 > 262 {2}^{2} {?}{?}

5 0
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