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mihalych1998 [28]
3 years ago
15

Find the smallest solution to the equation 2/3 X² equals 24

Mathematics
1 answer:
iren [92.7K]3 years ago
4 0

Answer:

The smallest solution is -6

Step-by-step explanation:

2/3 x^2 = 24

Multiply each side by 3/2

3/2 *2/3 x^2 = 24*3/2

x^2 = 36

Take the square root of each side

sqrt(x^2) = sqrt(36)

x = ±6

The smallest solution is -6

The largest solution is 6

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3 years ago
A department store buys 200 shirts at a cost of $5,400 and sells them at a selling
jekas [21]

Number of shirts a department store bought = 200

Cost price of 200 shirts = $5400

Cost price of 1 shirt :

=\tt  \frac{5400}{200}

\color{plum} =\tt \$27

Thus, the cost price of one shirt = $27

Price at which the department store sold each shirt = $30

Which means :

▪︎Cost price of shirt = $27

▪︎Selling price of shrit = $30

Since selling price is greater than cost price, there was a markup in the price of the shirts.

We know that :

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Markup percentage in the price of the shirts :

=  \tt \frac{30 - 27}{27}  \times 100

=  \tt \frac{3}{27}  \times 100

= \tt  \frac{3 \times 100}{27}

= \tt  \frac{300}{27}

\color{plum} =  \tt11.1  \%

Thus, the percentage of markup = \tt 11.1  \%

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2 years ago
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Find the area of the shaded regions of the following figures. Will Give Brainliest!! Answer ASAP
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Answer:

Rectangle 1 area: 53 units squared

Shape 2 area: 43.75 units squared

Step-by-step explanation:

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We need to find the area of the two triangles in this rectangle and subtract it from the total area of the rectangle.

Total area of the rectangle:

13 * 5 = 65

Area of triangles (they are congruent):

1/2 * 4 * 3 = 6

6 * 2 = 12

65 - 12 = 53

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First, let's find the area of the parallelogram at the top.

10 * 3 = 30

Now, let's find the area of the rest of the shape. Triangle first...

1/2 * 4 * 1.5 = 3

Now, the rectangle and the tiny triangle we can section out at the end:

7 * 1.5 = 10.5 + 1/4 (Triangle) or 0.25 = 10.75

Total area: 10.75 + 3 + 30 = 43.75

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3 years ago
57x34 (3) +2=?<br> Can anybody help and explain?
bagirrra123 [75]

Answer:

5,816

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