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Zanzabum
3 years ago
13

The table below shows the amount of money needed to buy certain amounts of fabric. Fabric Cost Yards of Fabric Total Cost 3 $5.2

5 6 $10.50 9 $15.75 12 ? If the price is the same for each yard, how much money would 12 yards of fabric cost? $18.00 $21.00 $24.75 $26.25
Mathematics
2 answers:
tino4ka555 [31]3 years ago
8 0

$21, due to $5.75 being added for every three yards.


melisa1 [442]3 years ago
8 0

Answer: $21

Step-by-step explanation:

From the given table, it can be seen that

The cost of 3 yards of fabric = $5.25

Then the cost of 1 yard of fabric =\frac{5.25}{3}=\$1.75

Now, If the price is the same for each yard then the cost of 12 yards of fabric =12\times1.75

⇒ The cost of 12 yards of fabric = $21

Therefore, If the price is the same for each yard then the cost of 12 yards of fabric = $21

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The arch of a bridge forms the upper half of an ellipse. The arch is 6 meters above the 20-meter-wide river. Write an equation f
aksik [14]

Answer:

\frac{x^2}{36} + \frac{y^2}{100} = 1

Step-by-step explanation:

Required

The equation of the ellipse

This is calculated as:

\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1

Where:

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So:

\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1

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3 0
3 years ago
Austin bought 5 pairs of jeans and 2 shirts for $166. Travis bought 3 pairs of jeans and 4 shirts for $164 at the same store. Ho
OLEGan [10]

Answer:

pair of jeans = 21  

shirt = 30.5

Step-by-step explanation:

Let the cost of each pair of jeans be $ x, and the cost of each shirt be $ y.

Since, cost of each pair of jeans is $ x, the cost of 5 pair of jeans will be $ 5x and cost of 2 shirts will be $ 2x.

Likewise, the cost of each pair of jeans is $ x, so the cost of 3 pair of jeans will be $ 3x and cost of 4 shirts will be $ 4y.

5 pair of jeans and 2 shirts for $166. This means:

            Equation 1:    5x + 2y = 166                                            

3 pair of jeans and 4 shirts for $164. This means:

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Dividing both sides by 2, we get:

           Equation 2:      x + 2y = 82                                            

Subtracting Equation 2 from Equation 1, we get:

5x + 2y - (x + 2y) = 166 - 82

5x + 2y - x - 2y = 84

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y = 30.5

Using the value of x, in Equation 2, we get:

21 + 2y = 82

2y = 61

y = 30.5

Since, x represents the cost of pair of jeans, the cost of each shirt is $ 16.

y represents the cost of sweater, so the cost of each sweater is $ 33.

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