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AURORKA [14]
2 years ago
15

Mrs. Carter needs 1/2 meter of cloth to make a pillowcase. How many pillowcases can she make with 5 meters of cloth?​

Mathematics
1 answer:
AfilCa [17]2 years ago
6 0

Answer:

10 pillowcases

Step-by-step explanation:

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The cost $C$ (in dollars) of making a square window with a side length of $n$ inches is represented by $C=\frac{n^2}{5}+175$
Trava [24]

The side length (in feet) of the square window which has the cost of making equal to $355 is 30 feet.

<h3>What is a mathematical model?</h3>

A mathematical model is the model which is used to explain the any system, the effect of the components by study and estimate the functions of systems.

The cost (in dollars) of making a square window with a side length is C. the length of side of the window is n.

The model, which represent the cost of window in dollar, is,

C=(n²/5)+175

A window costs $355. Thus, C=355. Put this value in above model as,

355=(n²/5)+175

355-175=(n²/5)

180 x 5=n²

n=√(900)

n=30

Hence, the side length (in feet) of the square window which has the cost of making equal to $355 is 30 feet.

Learn more about the mathematical model here;

brainly.com/question/4960142

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5 0
1 year ago
Which equation represents a parabola that opens upward, has a minimum at x = 3, and has a line of symmetry at x = 3?
densk [106]

Answer:

A.\ y = x^2 - 6x + 13 is the correct answer.

Step-by-step explanation:

We know that vertex equation of a parabola is given as:

y = a(x-h)^2+k

where (h,k) is the vertex of the parabola and

(x,y) are the coordinate of points on parabola.

As per the question statement:

The parabola opens upwards that means coefficient of x^{2} is positive.

Let a = +1

Minimum of parabola is at x = 3.

The vertex is at the minimum point of a parabola that opens upwards.

\therefore h = 3

Putting value of a and h in the equation:

y = 1(x-3)^2+k\\\Rightarrow y = (x-3)^2+k\\\Rightarrow y = x^2-6x+9+k

Formula used: (a-b)^2=a^{2} +b^{2} -2\times a \times b

Comparing the equation formulated above with the options given we can observe that the equation formulated above is most similar to option A.

Comparing y = x^2 - 6x + 13 and y = x^2-6x+9+k

13 = 9+k

k = 4

Please refer to the graph attached.

Hence, correct option is A.\ y = x^2 - 6x + 13

3 0
3 years ago
Read 2 more answers
(16 divided by 4) x (7-4)
zavuch27 [327]
4 x 3 = 12
12 would be the answer
4 0
3 years ago
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Hector bought 6 bottles of juice for $2.40. At that rate, what is the cost of: 1 bottle, 3 bottles, 5 bottles?
Zinaida [17]

Answer:

1 bottle: $0.40

2 bottle: $1.20

5 bottle: $2.00

Step-by-step explanation:

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Evaluate piecewise functions
Mama L [17]

6 is neither equal to 0 nor equal to 7, so the last "piece" of h(x) applies. Then

h(6) = 3•6 - 2 = 18 - 2 = 16

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2 years ago
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