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saw5 [17]
3 years ago
6

T-shirts at a flea market cost $4.50 each and shorts cost $6 each. You have $108. Write an equation in standard form that models

the possible combinations of t-shirts (t) and shorts (s) you can buy.
Mathematics
2 answers:
Art [367]3 years ago
7 0

Answer:

4.50t + 6s = 108

Step-by-step explanation:

olga nikolaevna [1]3 years ago
7 0

Answer:

4.50t + 6s = 108.

Step-by-step explanation:

You might buy  8 t-shirts  and 12 shorts.

That would come to:

8 *4.50 + 12 * 6

= 36 + 72 = $108 exactly.

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A train travels at an average speed of 18 m/s.
GrogVix [38]

Answer:

28 seconds

Step-by-step explanation:

speed = distance/time

speed * time = distance

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time = (500 m)/(18 m/s)

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8 0
4 years ago
Translate to a quadratic​ equation, then solve using the quadratic formula. The length of a rectangular air filter is 3 inches l
balu736 [363]

Answer:

Width of the rectangle = 17 inches

Length of the rectangle = 31 inches

Step-by-step explanation:

Let w be the width of the rectangle.

Given:

Width of the rectangle = w

Length of the rectangle = 2w - 3

Area of the rectangle =527\ inches^{2}

Solution:

We know that the area of the rectangle.

Area\ of\ rectangle = length\times width

w(2w-3)=527

2w^{2}-3w-527=0

Now, we first find the root of the above equation.

Use quadratic formula with a=2, b=-3, c=-527.

t=\frac{-b\pm \sqrt{(b)^{2}-4ac}}{2a}

Put a, b and c value in above equation.

w=\frac{-(-3)\pm \sqrt{(-3)^{2}-4(2)(-527)}}{2(2)}

w=\frac{3\pm \sqrt{9+8\times 527}}{4}

w=\frac{3\pm \sqrt{9+4216}}{4}

w=\frac{3\pm \sqrt{4225}}{4}

w=\frac{3\pm 65}{4}

For positive sign

w=\frac{68}{4}

w = 17 inches

So, width of the rectangle is 17 inches.

Length of the rectangle.

Length = 2\times w-3

Length = 2\times 17-3

Length = 34-3

Length = 31 inches

So, length of the rectangle is 31 inches.

Therefore, width and length of the rectangle is 17 inches and 31 inches.

5 0
4 years ago
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3 years ago
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Step-by-step explanation:

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3 years ago
......................​
Oksi-84 [34.3K]

Answer:

A

Step-by-step explanation:

3^{5} = 243\\3^{2} = 9\\243/9 = 27\\27 = 3^{3}

5 0
3 years ago
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