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taurus [48]
2 years ago
13

You buy 3 bags of sand and 2 bags of pea gravel for $21. In a second purchase (at the same prices), you buy 2 bags of sand for $

10. Let represent the price (in dollars) per bag of sand and let y represent the price (in dollars) per bag of pea gravel. Use a graph to find the price per bag of sand and the price per bag of pea gravel. What is thE bag of sand cost and bad of pea gravel cost.
Mathematics
1 answer:
Artist 52 [7]2 years ago
4 0

Answer:

Bag of sand cost = $5/-

Bag of pea gravel cost = $3/-

Step-by-step explanation:

Given that,

3 bags of sand and 2 bags of pea gravel cost $21

2 bags of sand cost $10.

Suppose number of bags of sand is represented by x.

Number of bags of pea gravels is represented by y.

We can write as:

3x + 2y = 21

2x = 10

x = 5

eq 1 : 15+ 2y = 21

y= 3

Therefore,

Bag of sand cost = $5/-

Bag of pea gravel cost = $3/-



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Step-by-step explanation:

We will use the 2 coordinates marked on the graph as the reference.

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We know that the standard form for equation of line is:

y = mx+c

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and c is the y-intercept.

Very clearly, the y-intercept is where the line intercepts the y line.

and in this case, y-intercept = c = 3.

Now we know that the equation of line is now

y = mx + 3

To find m, the slope, we can use the 2 above coordinates.

slope of line = \frac{y1-y2}{x1-x2} \\=\frac{-2-3}{4-0} \\=\frac{-5}{4} \\=-\frac{5}{4}

(Note: There is a 2nd way to find the slope in this case, let me know if you are interested to find out.)

Equation of line: y=-\frac{5}{4} x+3

Therefore the answer is D.

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2 years ago
Which quadrilaterals always have opposite angles that are congruent
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Answer:

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A square is a regular quadrilateral. This means that is has four

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Step-by-step explanation:

6 0
2 years ago
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snow_tiger [21]

Answer:

(-2, 20)

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Step-by-step explanation:

<u>Step 1: Define Systems</u>

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<em>Substitution</em>

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<u>Step 3: Solve for </u><em><u>y</u></em>

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