Please help me on 7&8 and please show your work :)

Find the smallest possible solution to 2/3x^2=24

Bezzdna [24]

$\dfrac{2}{3} x^2 = 24$

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Divide by 2/3 on both sides :
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$x^2 = 24 \div \dfrac{2}{3}$

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Change the divide fraction to multiplication fraction :
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$x^2 = 24 \times \dfrac{3}{2}$

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Simplify :
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$x^2 = 36$

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Square root both sides :
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$x = \pm \sqrt{36}$

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Answer :
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$x = \pm6$

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Answer: The smallest possible value of x is -6
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4 0

4 years ago

1. AB:BCECDDA.<br> A. Rhombus<br> B. Quadrilateral<br> C. Rectangle<br> D. Square

Sliva [168]

D is the correct answer, because it looks correct

4 0

4 years ago

The ratio of boys to girls in Mrs. Ronilo's math class is 3 to 1. What PERCENT of the class is girls

Lina20 [59]

The percentage is 25%
think of quarters

3 0

3 years ago

Read 2 more answers

find the area of the shaded region of circle y below. Round your answer to the nearest tenth if necessary

S_A_V [24]

Answer:

285.6 square units

Step-by-step explanation:

The shaded area can be described a a whole circle less a 90° segment, or as a 3/4 circle with a right triangle added. The formula for the segment area is that of a sector less the triangle, so the computation is the same either way.

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<h3>3/4 circle area</h3>

The area of a circle is given by ...

A = πr²

so 3/4 of a circle is 3/4 this value:

3/4 circle area = (3/4)(π)(10²) = 75π . . . . square units

<h3>Triangle area</h3>

The area of the isosceles right triangle is given by ...

A = 1/2s²

A = 1/2(10²) = 50 . . . . square units

<h3>Shaded area</h3>

The shaded area is the sum of these two ...

shaded area = 3/4 circle area + right triangle area

shaded area = 75π + 50 ≈ 285.6 . . . . square units

8 0

2 years ago

After 10 weeks, how much money would William have in his bank account? Show your work.

noname [10]

Answer:

The answer seems to be going up by $14 every week

Step-by-step explanation:

Week 5 is $100, Week 6 is $114, Week 7 is $128, Week 8 is $142, Week 9 is $156, Week 10 is $170

7 0

2 years ago