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timama [110]
3 years ago
15

On one side of the balance scale, Henry placed a 6-gram weight. On the other side of the scale, he placed a ballet slipper.

Mathematics
1 answer:
olchik [2.2K]3 years ago
7 0

Answer:

  • <u><em>A. 6,000 miligrams</em></u>

Explanation:

A <em>balance scale</em> is balanced when the weights on both sides are equal. Then, since the image shows that both sides are equal, the weight of the <em>6-gram weight</em>, placed by Henry on one side of the balance scale is equal to the weight of the <em>ballet slipper </em>placed on the other side.

  • Weight of the balance slipper = weight of the 6-gram weight
  • Weight of the balance slipper = 6 grams

<u>Conversion of units: </u>

  • 6 grams × 1,000miligrams/1gram = 6,000 miligrams

  • Weight of the balance slipper = 6,000 miligrams

That is the option A.

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  • 172.12 in²

Step-by-step explanation:

Consider the figure as 3 parts: semicircle with radius of 4 in, rectangle with 7x9 in and rectangle 6x14 in.

<u>Area of semicircle:</u>

  • A = 1/2*πr² = 1/2*3..14*4² = 25.12 in²

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6 0
2 years ago
The half price of helium-5 is 7.6 X 10 to the power of negative 22 seconds and the half-life helium -9 is 7 x 10 to the power of
Digiron [165]

Answer:

Approximately 9.211 times

Step-by-step explanation:

Given

x = 7.6 * 10^{-22}s --- half life of helium-5

y = 7 * 10^{-21}s --- half life of helium-9

Required

How many times greater is y than x

To do this, we simply divide y by x

\frac{y}{x} = \frac{7 * 10^{-21}s}{7.6 * 10^{-22}s}

\frac{y}{x} = \frac{7 * 10^{-21}}{7.6 * 10^{-22}}

Apply law of indices

\frac{y}{x} = \frac{7 * 10^{-21--22}}{7.6}

\frac{y}{x} = \frac{7 * 10^{-21+22}}{7.6}

\frac{y}{x} = \frac{7 * 10}{7.6}

\frac{y}{x} = \frac{70}{7.6}

\frac{y}{x} = 9.211

5 0
3 years ago
Use the general solution to solve 5 – 6x = 8x + 17.
Slav-nsk [51]

Answer:

8x+6x=14x

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divide both sides by 2

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divide by 7

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Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
(6) Please check ans
nordsb [41]
Yes it is the last choice. You are correct
3 0
3 years ago
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